May 17, 2024

2021-2022 Catalog

2021-2022 Catalog [ARCHIVED CATALOG]

Course Descriptions

UNDERGRADUATE COURSES

Lower Division Courses numbered 1–99 are designed primarily for freshmen and sophomores but are open to all students for lower division credit. (Graduate students requesting to enroll in lower-division undergraduate courses will not receive unit credit nor will the course fulfill degree requirements.)

Upper Division Courses courses numbered 100–199 are open to all students who have met the necessary prerequisites as indicated in the catalog course description. Preparation should generally include completion of one lower division course in the given subject or completion of two years of college work.

GRADUATE COURSES

Courses numbered 200–299 are open to graduate students. (Undergraduate students must obtain the signature of the instructor, School Dean, and the Dean of Graduate Studies. Graduate level units will count towards the required 120 units for graduation; however students are urged to meet with their academic advisor in order to determine if graduate course units may be used to fulfill a graduation requirement.)

CROSS-LISTED/CONJOINED COURSES

Cross-listed Courses are the same course offered under different course subjects at the same level (either undergraduate or graduate) that share the same meeting time, requirements, units, etc. Conjoined Courses are the same course but one is undergraduate and one is graduate.

COREQUISITE COURSE

A corequisite course is a course that must be taken at the same time as another course.

PREREQUISITES

Prerequisites for courses should be followed carefully; the responsibility for meeting these requirements rests on the student. If you can demonstrate that your preparation is equivalent to that specified by the prerequisites, the instructor may waive these requirements for you. The instructor also may request that a student who has not completed the prerequisites be dropped from the course. If the prerequisite for a course is not satisfied, students must obtain the approval of the instructor (or school designee) of the course they wish to take.

For all undergraduate courses a “C-” or better grade is required for a course to be used as a prerequisite for another course. If a course was taken for a “P/NP” grade then a “P” grade is required.

For all graduate courses a “B” or better grade is required for a course to be used as a prerequisite for another course. If a course was taken for a “S/U” grade then a “S” grade is required.

WORLD LANGUAGES

No credit is allowed for completing a less advanced course after successful completion (C-or better) of a more advanced course in the world languages. This applies only to lower division world language courses, not upper division courses.

GRADING OPTIONS

Unless otherwise stated in the course description, each course is letter graded with a P/NP or S/U option (unless required for your major or graduate program). The policy regarding Grading Options , can be found in an alternate section of the catalog.

More information about Course Substitutions and Course Materials and Services Fees can be found in alternate areas of the catalog.

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Materials and Biomaterials Science and Engineering
	MBSE 290: Special Topics in MBSE Lower Unit Limit: 1 Upper Unit Limit: 6 Treatment of a special topic or theme in Materials and Biomaterials Science and Engineering at the graduate level. Course Details Repeats Allowed for Credit: 6 Normal Letter Grade with Satisfactory/Unsatisfactory option Requisites and Restrictions Instructor Permission Required: No View course scheduling information
	MBSE 291: Research Seminar Units: 1 Seminar series covering various topics in bioengineering, biomaterials and materials science and engineering, and nanotechnology, hosted by Materials and Biomaterials Science and Engineering Graduate Program. Course Details Repeats Allowed for Credit: 12 Normal Letter Grade only Requisites and Restrictions Instructor Permission Required: No View course scheduling information
	MBSE 292: Group Meeting Units: 1 Meetings to describe current research progress and future research plans lead by MBSE faculty. Course Details Repeats Allowed for Credit: 16 Normal Letter Grade only Requisites and Restrictions Open only to following major/minor(s): Materials & Biomaterials Science & Engineering (Graduate) - MBSE Instructor Permission Required: No View course scheduling information
	MBSE 293: Journal Club Units: 1 Student-led presentation, analysis and discussion of reading assignments from the scientific literature. Course Details Repeats Allowed for Credit: 16 Normal Letter Grade only Requisites and Restrictions Open only to following major/minor(s): Materials & Biomaterials Science & Engineering (Graduate) - MBSE Instructor Permission Required: No View course scheduling information
	MBSE 294: Responsible Conduct of Research Units: 1 Covers responsibilities and expectations for researchers as well as advice for success in graduate school and science careers, required for NIH-funded graduate students. Course Details Repeats Allowed for Credit: 0 Crosslisted with: QSB 294 Satisfactory/Unsatisfactory only Requisites and Restrictions Instructor Permission Required: No View course scheduling information
	MBSE 295: Graduate Research Lower Unit Limit: 1 Upper Unit Limit: 12 Supervised Research with MBSE faculty. Course Details Repeats Allowed for Credit: 12 Satisfactory/Unsatisfactory only Requisites and Restrictions Instructor Permission Required: Yes View course scheduling information
	MBSE 299: Directed Independent Study Lower Unit Limit: 1 Upper Unit Limit: 6 Enables research outside of the regular thesis research directed by a professor who may not be the student’s thesis advisor. Course Details Repeats Allowed for Credit: 6 Normal Letter Grade with Satisfactory/Unsatisfactory option Requisites and Restrictions Instructor Permission Required: Yes View course scheduling information
Materials Science and Engineering
	MSE 010: Intrigue of Everyday Materials in a High-Tech World Units: 2 Focuses on the special properties of these materials that make them useful to us. Identifies a series of materials, provide a lecture on how the properties of each material makes it special, and ask the students to engage in an experiment that explores each material’s properties in more detail. Data will be collected and evaluated to distinguish between the behavior of different materials and the resulting observations will be related back to other materials in our world. Course Details Repeats Allowed for Credit: 0 Laboratory included Normal Letter Grade only GE Requirements Approaches to Knowledge: Engineering Science Badge: Practical and Applied Knowledge Badge: Quantitative and Numerical Analysis Requisites and Restrictions Instructor Permission Required: No View course scheduling information
	MSE 104: Engineering Living Systems Units: 3 Engineering Living Systems is an interdisciplinary field focused on developing strategies for using cells with material scaffolds towards assembly of tissues and organs. Fundamental topics include cell source, cell culture, cell adhesion and migration, cell patterning, materials design and fabrication, and on-chip diagnostic platforms. Course Details Repeats Allowed for Credit: 0 Normal Letter Grade only Requisites and Restrictions Prerequisite Courses: MATH 024 and (PHYS 009 or PHYS 009H) and (BIO 001 or equivalent exam) and ENGR 045 Instructor Permission Required: No View course scheduling information
	MSE 104L: Engineering Living Systems Lab Units: 1 Laboratory for Engineering Living Systems. Fundamental topics include cell source, cell culture, cell adhesion and migration, cell patterning, materials design and fabrication, and on-chip diagnostic platforms. Course Details Repeats Allowed for Credit: 0 Laboratory included Normal Letter Grade only Requisites and Restrictions Prerequisite Courses: MATH 024 and (PHYS 009 or PHYS 009H) and (BIO 001 or equivalent exam) and ENGR 045 Instructor Permission Required: No View course scheduling information
	MSE 109: Materials Thermodynamics Units: 4 Thermodynamic laws and principles. Thermodynamics of solid solutions. Phase equilibria in materials systems of one, two and three components. Nucleation and growth vs. spinodal decomposition. Determination and interpretation of equilibrium binary and ternary phase diagrams for metals, ceramics and polymers. Quantitative applications of Ellingham diagrams, phase diagrams and Pourbaix diagrams. Course Details Repeats Allowed for Credit: 0 Discussion included Normal Letter Grade only Requisites and Restrictions Prerequisite Courses: (MATH 021 or equivalent exam) and (PHYS 008 or PHYS 008H or equivalent exam) and (CHEM 002 or CHEM 002H or equivalent exam) and ENGR 045 Open only to following major/minor(s): Chemistry (Undergraduate) - CHM Chemical Sciences (Undergraduate) - CHEM Materials Sci & Engineering (Undergraduate) - MSE Bioengineering (Undergraduate) - BENG Environmental Engineering (Undergraduate) - ENVE Physics (Undergraduate) - PHYS Computer Science & Engineering (Undergraduate) - CSE Mechanical Engineering (Undergraduate) - ME Open only to the following class level(s): Junior Senior Instructor Permission Required: No View course scheduling information
	MSE 110: Solid State Materials Properties Units: 4 Structure of atomic and molecular solids; crystallography of inorganic and organic solids; symmetry; short range order; 1-, 2- and 3- dimensional defects; energy levels; band theory of conductors, semiconductors and insulators; mechanical, thermal, optical and magnetic properties of materials and their relevance to processing and devices. Course Details Repeats Allowed for Credit: 0 Laboratory included Normal Letter Grade only Requisites and Restrictions Prerequisite Courses: (CHEM 002 or CHEM 002H or equivalent exam) and ENGR 045 and (MATH 021 or equivalent exam) and (PHYS 008 or PHYS 008H or equivalent exam) Open only to following major/minor(s): Chemical Sciences (Undergraduate) - CHEM Materials Sci & Engineering (Undergraduate) - MSE Bioengineering (Undergraduate) - BENG Environmental Engineering (Undergraduate) - ENVE Physics (Undergraduate) - PHYS Computer Science & Engineering (Undergraduate) - CSE Mechanical Engineering (Undergraduate) - ME Open only to the following class level(s): Junior Senior Instructor Permission Required: No View course scheduling information
	MSE 111: Materials Kinetics and Processing Units: 4 Application of kinetic principles to the study of mass transport processes, transformations and reactions in engineering materials. Thermal (including catalytically assisted) activation and rates of processes; nucleation and growth; phase transformations; control of micro- and nano-structure. Applications and case studies relevant to the processing of metals, polymers, ceramics and nanomaterials. Course Details Repeats Allowed for Credit: 0 Conjoined with: BEST 204 Discussion included Normal Letter Grade only Requisites and Restrictions Prerequisite Courses: (MATH 021 or equivalent exam) and (PHYS 008 or PHYS 008H or equivalent exam) and (CHEM 002 or CHEM 002H or equivalent exam) Prerequisite Courses with Concurrent Option: ENGR 130 Open only to following major/minor(s): Chemistry (Undergraduate) - CHM Chemical Sciences (Undergraduate) - CHEM Materials Sci & Engineering (Undergraduate) - MSE Bioengineering (Undergraduate) - BENG Environmental Engineering (Undergraduate) - ENVE Physics (Undergraduate) - PHYS Computer Science & Engineering (Undergraduate) - CSE Mechanical Engineering (Undergraduate) - ME Open only to the following class level(s): Junior Senior Instructor Permission Required: No View course scheduling information
	MSE 112: Materials Selection and Performance Units: 4 Focuses on the quantitative treatment of materials selection for engineering applications. Discussion of design and selection strategies. Use of design software. Covers design considerations in the use of materials, design and material selection strategy, processing and process selection strategy, process economics, life-cycle thinking and eco-design, and special topics. Course Details Repeats Allowed for Credit: 0 Discussion and Laboratory included Normal Letter Grade only GE Requirements Badge: Sustainability Requisites and Restrictions Prerequisite Courses: ENGR 045 Open only to following major/minor(s): Bioengineering (Undergraduate) - BENG Computer Science & Engineering (Undergraduate) - CSE Environmental Engineering (Undergraduate) - ENVE Materials Sci & Engineering (Undergraduate) - MSE Mechanical Engineering (Undergraduate) - ME Open only to the following class level(s): Junior Senior Instructor Permission Required: No View course scheduling information
	MSE 113: Materials Characterization Units: 4 Characterization of materials structure and properties. Interactions between electromagnetic radiation and matter, and between electron beams and matter. Principles of image formation; Fourier methods and convolution; image processing. X-ray diffraction, optical and electron imaging and diffraction; scanned probe methods. Thermal analysis. Mechanical property and failure characterization. Course Details Repeats Allowed for Credit: 0 Laboratory included Normal Letter Grade only GE Requirements Badge: Media and Visual Analysis Requisites and Restrictions Prerequisite Courses: (MATH 021 or equivalent exam) and (PHYS 008 or PHYS 008H or equivalent exam) and (PHYS 009 or PHYS 009H) Open only to following major/minor(s): Environmental Systems Science (Undergraduate) - ESY Applied Mathematical Sciences (Undergraduate) - MATH Chemistry (Undergraduate) - CHM Materials Sci & Engineering (Undergraduate) - MSE Bioengineering (Undergraduate) - BENG Environmental Engineering (Undergraduate) - ENVE Physics (Undergraduate) - PHYS Computer Science & Engineering (Undergraduate) - CSE Mechanical Engineering (Undergraduate) - ME Open only to the following class level(s): Junior Senior Instructor Permission Required: No View course scheduling information
	MSE 114: Polymeric Materials Units: 4 Relationships between molecular characteristics, thermodynamics, kinetics, microstructure and properties in the context of polymeric materials. Students will apply their knowledge of physics, chemistry, mathematics and biology to develop a proficient understanding of how structure and processing affect the properties and performance of biological and synthetic polymers. Course Details Repeats Allowed for Credit: 0 Discussion included Normal Letter Grade only Requisites and Restrictions Prerequisite Courses: ENGR 045 Open only to following major/minor(s): Chemistry and Chemical Biology (Graduate) - CCB Physics (Graduate) - PHYI IGP Bio Eng & Sm Scale Tech (Graduate) - IGBT Elec Eng & Computer Sci (Graduate) - EECS Environmental Systems (Graduate) - ESYS Quantitative & Systems Biology (Graduate) - QSB Mechanical Engineering (Graduate) - MECE Applied Mathematics (Graduate) - AMAT Bioengineering (Graduate) - BIOE Materials & Biomaterials Science & Engineering (Graduate) - MBSE Open only to the following class level(s): Junior Senior Instructor Permission Required: No View course scheduling information
	MSE 115: Ceramic Materials Units: 3 Crystallography of inorganic compounds; packing and connectivity of co-ordination polyhedral. Defects in ionic and covalent crystals and their effect on properties. Ceramics, glasses and cements. Engineering ceramics. Production of powders; compaction; sintering; control of nanostructure and microstructure; bulk defects. Zeolites. Hydration of cement and concrete. Biological ceramics. Course Details Repeats Allowed for Credit: 0 Normal Letter Grade with Pass/No Pass option Requisites and Restrictions Prerequisite Courses: (MATH 021 or equivalent exam) and (PHYS 008 or PHYS 008H or equivalent exam) and (PHYS 009 or PHYS 009H) and ENGR 045 Instructor Permission Required: No View course scheduling information
	MSE 116: Composites Units: 3 Hard materials and soft materials. Roles of matrix and filler phases. “Rule of mixtures” as a function of morphology and connectivity. Length scale effects: nanocomposites, microcomposites and macrocomposites. Biological composites. Porous materials. Interface characteristics and their effect on properties. Toughening mechanisms in composites. Processing and joining. Structure and property characterization. Course Details Repeats Allowed for Credit: 0 Normal Letter Grade with Pass/No Pass option Requisites and Restrictions Prerequisite Courses: (PHYS 009 or PHYS 009H) and ENGR 045 Instructor Permission Required: No View course scheduling information
	MSE 117: New Materials Units: 3 Sustainable materials and the Environment. “Whole life cycle” concepts and sustainability. Sustainability and eco design. Minimizing resource consumption. Limiting emissions and waste. Analyzing the product life cycle. Green materials. Self-assembling materials. Self-healing materials. Biological and bio-inspired materials. Course Details Repeats Allowed for Credit: 0 Discussion and Laboratory included Normal Letter Grade only Requisites and Restrictions Prerequisite Courses: ENGR 045 Open only to following major/minor(s): Materials Sci & Engineering (Undergraduate) - MSE Bioengineering (Undergraduate) - BENG Environmental Engineering (Undergraduate) - ENVE Computer Science & Engineering (Undergraduate) - CSE Mechanical Engineering (Undergraduate) - ME Open only to the following class level(s): Junior Senior Instructor Permission Required: No Good academic standing required View course scheduling information
	MSE 118: Introduction to Nanotechnology and Nanoscience Units: 3 An introduction for engineers in nanotechnology and nanoscience. Topics covered include nanoscale phenomena; nanofabrication (top-down and bottom-up approaches); and applications relevant to engineering, the physical sciences and biology. Interdisciplinary aspects of nanotechnology and nanoscience are discussed, including perspectives from materials science, chemistry, physics, and biology. Course Details Repeats Allowed for Credit: 0 Normal Letter Grade only Requisites and Restrictions Prerequisite Courses: (MATH 021 or equivalent exam) and (PHYS 008 or PHYS 008H or equivalent exam) and (CHEM 002 or CHEM 002H or equivalent exam) Instructor Permission Required: No View course scheduling information
	MSE 119: Materials Simulations Units: 3 Difference between modeling, theory and simulations. Atomic and molecular scale modeling. Ab initio, Monte Carlo and molecular dynamics methods. Lattice models. Mesoscale and multiscale modeling. Finite element methods. Modeling phase separation, nanostructure and microstructure evolution, and material properties. A computational project using a modeling software will be performed. Course Details Repeats Allowed for Credit: 0 Discussion and Laboratory included Normal Letter Grade only Requisites and Restrictions Prerequisite Courses: ENGR 045 Open only to following major/minor(s): Materials Sci & Engineering (Undergraduate) - MSE Bioengineering (Undergraduate) - BENG Environmental Engineering (Undergraduate) - ENVE Computer Science & Engineering (Undergraduate) - CSE Mechanical Engineering (Undergraduate) - ME Open only to the following class level(s): Junior Senior Instructor Permission Required: No Good academic standing required View course scheduling information
	MSE 120: Materials Capstone Design Units: 3 Design project based on materials selection and performance evaluation, with reference to engineering standards and realistic constraints that include the following considerations: economic, environmental, sustainability, processability, ethical, health and safety, social, political. A different project will be implemented on each occasion that the course is offered. Course Details Repeats Allowed for Credit: 0 Laboratory included Normal Letter Grade only GE Requirements Upper Division: Writing in the Discipline Upper Division: Culminating Experience Badge: Scientific Method Badge: Quantitative and Numerical Analysis Badge: Diversity and Identity Badge: Global Awareness Badge: Sustainability Badge: Practical and Applied Knowledge Badge: Ethics Badge: Leadership, Community, and Engaging the World Requisites and Restrictions Prerequisite Courses: MSE 112 and MSE 113 Open only to following major/minor(s): Materials Sci & Engineering (Undergraduate) - MSE Instructor Permission Required: No View course scheduling information
	MSE 121: Mechanical Behavior of Materials Units: 4 Matrix, tensor, and representation surface descriptions of stress, strain, and material properties (elastic, plastic, photoelastic and piezoelectric). Isotropic and anisotropic properties. Microscopic and macroscopic response of materials to stress, including plasticity due to dislocation motion, twinning and martensitic transformations. Kinetics of plastic deformation. Applications to materials processing, strengthening, and failure. Course Details Repeats Allowed for Credit: 0 Discussion included Normal Letter Grade only Requisites and Restrictions Prerequisite Courses: ENGR 045 Open only to following major/minor(s): Applied Mathematical Sciences (Undergraduate) - MATH Materials Sci & Engineering (Undergraduate) - MSE Bioengineering (Undergraduate) - BENG Environmental Engineering (Undergraduate) - ENVE Computer Science & Engineering (Undergraduate) - CSE Mechanical Engineering (Undergraduate) - ME Open only to the following class level(s): Junior Senior Instructor Permission Required: No View course scheduling information
	MSE 126: Nanodevice Fabrication: Bridging Research and Education Units: 4 Basic properties of nanomaterials and their applications as transducers (the lecture part). Nanomaterial synthesis using both solution and vapor-based approaches will be performed and a transducer will be fabricated and tested (the lab part). The interactive and experiential education will be blended with theoretical concepts. Course Details Repeats Allowed for Credit: 0 Conjoined with: BEST 226 Laboratory included Normal Letter Grade only Requisites and Restrictions Prerequisite Courses: (CHEM 002 or CHEM 002H or equivalent exam) and (PHYS 009 or PHYS 009H or PHYS 019) Open only to the following class level(s): Junior Senior Instructor Permission Required: No ENGR 065 highly recommended View course scheduling information
	MSE 161: Sustainable Energy: Powering the World with Minimal Use of Materials Units: 4 Renewable energy will power the world for generations to come and California is leading the way! Materials have played and will play a key role in advancing these technologies. Explore how these work, the progress that has been made, and what is still needed. Includes both individual and team activities. Course Details Repeats Allowed for Credit: 0 Normal Letter Grade only Requisites and Restrictions Prerequisite Courses: (MATH 021 or equivalent exam) and (PHYS 008 or PHYS 008H or equivalent exam) and (CHEM 002 or CHEM 002H or equivalent exam) Open only to the following class level(s): Junior Senior Instructor Permission Required: No View course scheduling information
	MSE 195: Upper Division Undergraduate Research Lower Unit Limit: 1 Upper Unit Limit: 5 Supervised research. Course Details Repeats Allowed for Credit: 99 Normal Letter Grade with Pass/No Pass option Requisites and Restrictions Instructor Permission Required: Yes View course scheduling information
	MSE 198: Upper Division Directed Group Study Lower Unit Limit: 1 Upper Unit Limit: 5 Course Details Repeats Allowed for Credit: 99 Pass/No Pass only Requisites and Restrictions Instructor Permission Required: Yes View course scheduling information
	MSE 199: Upper Division Individual Study Lower Unit Limit: 1 Upper Unit Limit: 5 Course Details Repeats Allowed for Credit: 99 Pass/No Pass only Requisites and Restrictions Instructor Permission Required: Yes View course scheduling information
Mathematics
	Syllabus MATH 005: Preparatory Calculus Units: 4 Preparation for calculus. Analyzing data by means of functions (linear, quadratic, polynomial, logarithmic, exponential and trigonometric) and graphs with an emphasis on mathematical modeling of real-world applications. Course Details Repeats Allowed for Credit: 0 Discussion included Normal Letter Grade only GE Requirements Approaches to Knowledge: Natural Science Badge: Quantitative and Numerical Analysis Requisites and Restrictions Cannot be taken for credit after successfully completing: MATH 011, MATH 021 Instructor Permission Required: No View course scheduling information
	Syllabus MATH 011: Calculus I Units: 4 Introduction to differential and integral calculus of functions of one variable, including exponential, logarithmic and trigonometric functions, emphasizing conceptual understanding and applying mathematical concepts to real-world problems (approximation, optimization). Course does not lead to MATH 23, 24. Course Details Repeats Allowed for Credit: 0 Discussion included Normal Letter Grade only GE Requirements Lower Division: Quantitative Reasoning Approaches to Knowledge: Natural Science Badge: Quantitative and Numerical Analysis Requisites and Restrictions Prerequisite Courses: MATH 005 or equivalent exam Cannot also be taken due to similarity of content: MATH 021 Not open to following major/minor(s): Applied Mathematical Sciences (Undergraduate) - MATH Materials Sci & Engineering (Undergraduate) - MSE Bioengineering (Undergraduate) - BENG Environmental Engineering (Undergraduate) - ENVE Physics (Undergraduate) - PHYS Computer Science & Engineering (Undergraduate) - CSE Mechanical Engineering (Undergraduate) - ME Chemistry (Undergraduate) - CHM Economics (Undergraduate) - ECON Instructor Permission Required: No View course scheduling information
	Syllabus MATH 012: Calculus II Units: 4 Continuation of MATH 011. Introduction to integral calculus of functions of one variable and differential equations, emphasizing conceptual understanding and applying mathematical concepts to real-world problem. Course does not lead to MATH 023, MATH 024. Course Details Repeats Allowed for Credit: 0 Discussion included Normal Letter Grade only GE Requirements Approaches to Knowledge: Natural Science Badge: Quantitative and Numerical Analysis Requisites and Restrictions Prerequisite Courses: MATH 011 or MATH 021 or equivalent exam Cannot also be taken due to similarity of content: MATH 022 Not open to following major/minor(s): Applied Mathematical Sciences (Undergraduate) - MATH Materials Sci & Engineering (Undergraduate) - MSE Bioengineering (Undergraduate) - BENG Environmental Engineering (Undergraduate) - ENVE Physics (Undergraduate) - PHYS Computer Science & Engineering (Undergraduate) - CSE Mechanical Engineering (Undergraduate) - ME Economics (Undergraduate) - ECON Chemistry (Undergraduate) - CHM Instructor Permission Required: No View course scheduling information
	Syllabus MATH 015: Introduction to Scientific Data Analysis Units: 2 Fundamental analytical and computational skills to find, assemble and evaluate information, and to teach the basics of data analysis and modeling using spreadsheets, statistical tool, scripting languages, and high-level mathematical languages. Course Details Repeats Allowed for Credit: 0 Laboratory included Normal Letter Grade only GE Requirements Approaches to Knowledge: Natural Science Badge: Scientific Method Badge: Quantitative and Numerical Analysis Badge: Practical and Applied Knowledge Requisites and Restrictions Prerequisite Courses with Concurrent Option: MATH 005 or MATH 011 or MATH 021,or equivalent exam Not open to following major/minor(s): Materials Sci & Engineering (Undergraduate) - MSE Bioengineering (Undergraduate) - BENG Environmental Engineering (Undergraduate) - ENVE Undeclared Engineering (Undergraduate) - UENG Computer Science & Engineering (Undergraduate) - CSE Mechanical Engineering (Undergraduate) - ME Instructor Permission Required: No View course scheduling information
	Syllabus MATH 018: Statistics for Scientific Data Analysis Units: 4 Analytical and computational methods for statistical analysis of data. Descriptive statistics, graphical representations of data, correlation, regression, causation, experiment design, introductory probability, random variables, sampling distributions, inference and significance. Course Details Repeats Allowed for Credit: 0 Discussion included Normal Letter Grade only Requisites and Restrictions Prerequisite Courses: (MATH 005 or MATH 011 or MATH 021 or equivalent exam) and (MATH 015 or CSE 019 or CSE 020 or CSE 005 or ENVE 105 or equivalent exam) Cannot be taken for credit after successfully completing: MATH 032 Instructor Permission Required: No View course scheduling information
	Syllabus MATH 021: Calculus I for Physical Sciences and Engineering Units: 4 An introduction to differential and integral calculus of functions of one variable. Elementary functions such as the exponential and the natural logarithm, rates of change and the derivative with applications to physical sciences and engineering. Course Details Repeats Allowed for Credit: 0 Discussion included Normal Letter Grade only GE Requirements Lower Division: Quantitative Reasoning Approaches to Knowledge: Natural Science Badge: Quantitative and Numerical Analysis Requisites and Restrictions Prerequisite Courses: MATH 005 or equivalent exam Cannot also be taken due to similarity of content: MATH 011 Open only to following major/minor(s): Environmental Systems Science (Undergraduate) - ESY Applied Mathematical Sciences (Undergraduate) - MATH Materials Sci & Engineering (Undergraduate) - MSE Bioengineering (Undergraduate) - BENG Environmental Engineering (Undergraduate) - ENVE Physics (Undergraduate) - PHYS Undeclared Engineering (Undergraduate) - UENG Computer Science & Engineering (Undergraduate) - CSE Mechanical Engineering (Undergraduate) - ME Chemistry (Undergraduate) - CHM Economics (Undergraduate) - ECON Instructor Permission Required: No View course scheduling information
	Syllabus MATH 022: Calculus II for Physical Sciences and Engineering Units: 4 Continuation of MATH 021. Analytical and numerical techniques of integration with applications, infinite sequences and series, first order ordinary differential equations. Course Details Repeats Allowed for Credit: 0 Discussion included Normal Letter Grade only GE Requirements Approaches to Knowledge: Natural Science Badge: Quantitative and Numerical Analysis Requisites and Restrictions Prerequisite Courses: MATH 021 or equivalent exam Cannot also be taken due to similarity of content: MATH 012 Open only to following major/minor(s): Environmental Systems Science (Undergraduate) - ESY Applied Mathematical Sciences (Undergraduate) - MATH Materials Sci & Engineering (Undergraduate) - MSE Bioengineering (Undergraduate) - BENG Environmental Engineering (Undergraduate) - ENVE Physics (Undergraduate) - PHYS Undeclared Engineering (Undergraduate) - UENG Computer Science & Engineering (Undergraduate) - CSE Mechanical Engineering (Undergraduate) - ME Chemistry (Undergraduate) - CHM Economics (Undergraduate) - ECON Instructor Permission Required: No View course scheduling information
	Syllabus MATH 023: Vector Calculus Units: 4 Calculus of several variables. Topics include parametric equations and polar coordinates, algebra and geometry of vectors and matrices, partial derivatives, multiple integrals, and introduction to the theorems of Green, Gauss, and Stokes. Course Details Repeats Allowed for Credit: 0 Discussion included Normal Letter Grade only GE Requirements Approaches to Knowledge: Natural Science Badge: Quantitative and Numerical Analysis Requisites and Restrictions Prerequisite Courses: MATH 022 or equivalent exam Cannot also be taken due to similarity of content: MATH 023H Instructor Permission Required: No View course scheduling information
	MATH 023H: Honors Vector Calculus Units: 4 Honors version of MATH 023. Topics cover vectors, calculus of multi-variable functions, coordinate systems, parametric curves and surfaces, and theorems of Green, Gauss and Stokes. Small class size and innovative pedagogical methods are adopted to help students develop a deep understanding of theories and a mastery of skills. Course Details Repeats Allowed for Credit: 0 Discussion included Normal Letter Grade only GE Requirements Approaches to Knowledge: Natural Science Badge: Quantitative and Numerical Analysis Requisites and Restrictions Prerequisite Courses: MATH 022 with A- or better, or equivalent exam Cannot also be taken due to similarity of content: MATH 023 Instructor Permission Required: No View course scheduling information
	Syllabus MATH 024: Linear Algebra and Differential Equations Units: 4 Introduces ordinary differential equations, systems of linear equations, matrices, determinants, vector spaces, linear transformations and linear systems of differential equations. Course Details Repeats Allowed for Credit: 0 Discussion included Normal Letter Grade only GE Requirements Approaches to Knowledge: Natural Science Badge: Quantitative and Numerical Analysis Requisites and Restrictions Prerequisite Courses: MATH 022 or equivalent exam Instructor Permission Required: No View course scheduling information
	Syllabus MATH 032: Probability and Statistics Units: 4 Concepts of probability and statistics. Conditional probability, independence, random variables, distribution functions, descriptive statistics, transformations, sampling errors, confidence intervals, least squares and maximum likelihood. Exploratory data analysis and interactive computing. Course Details Repeats Allowed for Credit: 0 Discussion included Normal Letter Grade only GE Requirements Approaches to Knowledge: Natural Science Badge: Scientific Method Badge: Quantitative and Numerical Analysis Badge: Practical and Applied Knowledge Requisites and Restrictions Prerequisite Courses with Concurrent Option: MATH 023 or MATH 023H Instructor Permission Required: No View course scheduling information
	Syllabus MATH 050: Beginning MATLAB Programming Units: 2 This half-semester minicourse introduces students to the writing, implementing, and testing of MATLAB algorithms to solve mathematical problems. Topics include programming syntax, data visualization, debugging, and coding aesthetics. Course Details Repeats Allowed for Credit: 0 Normal Letter Grade only Requisites and Restrictions Prerequisite Courses: MATH 022 or equivalent exam Instructor Permission Required: No View course scheduling information
	MATH 090X: Freshman Seminar Units: 1 Topics in mathematics. Course Details Repeats Allowed for Credit: 0 Normal Letter Grade only Requisites and Restrictions Instructor Permission Required: No View course scheduling information
	MATH 091: General Topics in Applied Mathematics Units: 1 Introduction to a variety of concepts useful in applied mathematics. Topics covered included floating point arithmetic, methods of proofs, random walks, stereographic projections, transforms, etc. Students are exposed to advanced mathematical topics in preparation for their ongoing studies. Course Details Repeats Allowed for Credit: 0 Pass/No Pass only Requisites and Restrictions Prerequisite Courses with Concurrent Option: (MATH 023 or MATH 023H) and MATH 024 Instructor Permission Required: No View course scheduling information
	MATH 095: Lower Division Undergraduate Research Lower Unit Limit: 1 Upper Unit Limit: 6 Supervised research in mathematics. Course Details Repeats Allowed for Credit: 0 Normal Letter Grade only Requisites and Restrictions Instructor Permission Required: Yes View course scheduling information
	MATH 098: Lower Division Directed Group Study Lower Unit Limit: 1 Upper Unit Limit: 5 Course Details Repeats Allowed for Credit: 99 Pass/No Pass only Requisites and Restrictions Instructor Permission Required: Yes View course scheduling information
	MATH 099: Lower Division Individual Study Lower Unit Limit: 1 Upper Unit Limit: 5 Course Details Repeats Allowed for Credit: 99 Pass/No Pass only Requisites and Restrictions Instructor Permission Required: Yes View course scheduling information
	MATH 101: Real Analysis Units: 4 Introduction to rigorous mathematical proofs and concepts pertaining to real numbers. The class will cover the structure of real numbers, sequences, series and functions of real numbers, and, time permitting, concepts of abstract algebra. Course Details Repeats Allowed for Credit: 0 Discussion included Normal Letter Grade only GE Requirements Approaches to Knowledge: Natural Science Badge: Quantitative and Numerical Analysis Requisites and Restrictions Prerequisite Courses: MATH 023 or MATH 023H Instructor Permission Required: No View course scheduling information
	MATH 122: Complex Variables and Applications Units: 4 Introduction to complex variables, analytic functions, contour integration and theory of residues. Mappings of the complex plane. Introduction to mathematical analysis. Course Details Repeats Allowed for Credit: 0 Discussion included Normal Letter Grade only GE Requirements Approaches to Knowledge: Natural Science Badge: Quantitative and Numerical Analysis Requisites and Restrictions Prerequisite Courses: (MATH 023 or MATH 023H) and MATH 024 Instructor Permission Required: No View course scheduling information
	Syllabus MATH 125: Intermediate Differential Equations Units: 4 An introduction of advanced solution techniques for ordinary differential equations (ODE) and elementary solution techniques for partial differential equations (PDE). Specific topics include higher-order linear ODE, power series methods, boundary value problems, Fourier series, Sturm-Liouville theory, Laplace transforms, Fourier transforms, and applications to one-dimensional PDE. Course Details Repeats Allowed for Credit: 0 Discussion included Normal Letter Grade only GE Requirements Upper Division: Crossroads Approaches to Knowledge: Natural Science Approaches to Knowledge: Engineering Science Badge: Scientific Method Badge: Quantitative and Numerical Analysis Badge: Practical and Applied Knowledge Requisites and Restrictions Prerequisite Courses: (MATH 023 or MATH 023H) and MATH 024 Instructor Permission Required: No View course scheduling information
	MATH 126: Partial Differential Equations Units: 4 An introduction to the theory of boundary value and initial value problems for partial differential equations with emphasis on linear equations. Topics covered include Laplace’s equation, heat equation, wave equation, application of Sturm-Liouville’s theory, Green’s functions, Bessel functions, Laplace transform, method of characteristics. Course Details Repeats Allowed for Credit: 0 Discussion included Normal Letter Grade only GE Requirements Upper Division: Crossroads Approaches to Knowledge: Natural Science Badge: Scientific Method Badge: Quantitative and Numerical Analysis Badge: Practical and Applied Knowledge Requisites and Restrictions Prerequisite Courses: MATH 125 Instructor Permission Required: No View course scheduling information
	MATH 130: Numerical Analysis Units: 4 Introduces numerical methods with emphasis on the analysis and implementation of numerical methods. Topics covered: computer arithmetic, solution of nonlinear equations in one variable, interpolation and polynomial approximation, elements of approximation theory, numerical differentiation and integration, and introduction to initial-value problems for ordinary differential equations. Course Details Repeats Allowed for Credit: 0 Discussion included Normal Letter Grade only GE Requirements Upper Division: Crossroads Approaches to Knowledge: Natural Science Badge: Scientific Method Badge: Quantitative and Numerical Analysis Badge: Practical and Applied Knowledge Requisites and Restrictions Prerequisite Courses: (ME 021 or CSE 022 or CSE 019 or (CSE 020 and CSE 021) or equivalent exam) and MATH 024 Cannot also be taken due to similarity of content: MATH 131 Open only to following major/minor(s): Applied Mathematical Sciences (Undergraduate) - MATH Instructor Permission Required: No View course scheduling information
	Syllabus MATH 131: Numerical Methods for Scientists and Engineers Units: 4 Introduces numerical methods with emphasis on algorithm construction and implementation. Programming, round-off error, solutions of equations in one variable, interpolation and polynomial approximation, approximation theory, direct solvers for linear systems, numerical differentiation and integration, initial-value problems for ordinary differential equations. Course Details Repeats Allowed for Credit: 0 Discussion included Normal Letter Grade only GE Requirements Upper Division: Crossroads Approaches to Knowledge: Natural Science Approaches to Knowledge: Engineering Science Badge: Scientific Method Badge: Quantitative and Numerical Analysis Badge: Practical and Applied Knowledge Requisites and Restrictions Prerequisite Courses: (ME 021 or CSE 019 or CSE 022 or (CSE 020 and CSE 021) or equivalent exam) and MATH 024 Cannot also be taken due to similarity of content: MATH 130 Not open to following major/minor(s): Applied Mathematical Sciences (Undergraduate) - MATH Instructor Permission Required: No View course scheduling information
	MATH 132: Numerical Methods for Differential Equations Units: 4 Introduction to numerical methods with emphasis on the analysis and implementation of numerical methods. Topics covered: Initial- and boundary-value problems for ordinary differential equations, methods to solve linear systems, eigenvalue problems, and numerical solutions to partial differential equations. Course Details Repeats Allowed for Credit: 0 Discussion included Normal Letter Grade only GE Requirements Upper Division: Crossroads Approaches to Knowledge: Natural Science Badge: Scientific Method Badge: Quantitative and Numerical Analysis Badge: Practical and Applied Knowledge Requisites and Restrictions Prerequisite Courses: MATH 125 and (MATH 130 or MATH 131) Instructor Permission Required: No View course scheduling information
	MATH 140: Mathematical Methods for Optimization Units: 4 Linear programming and a selection of topics from among the following: matrix games, integer programming, semidefinite programming, nonlinear programming, convex analysis and geometry, polyhedral geometry, the calculus of variations and control theory. Matlab implementation of several algorithms. Course Details Repeats Allowed for Credit: 0 Discussion included Normal Letter Grade only GE Requirements Upper Division: Crossroads Approaches to Knowledge: Natural Science Approaches to Knowledge: Engineering Science Badge: Scientific Method Badge: Quantitative and Numerical Analysis Badge: Practical and Applied Knowledge Requisites and Restrictions Prerequisite Courses: (MATH 023 or MATH 023H) and MATH 024 and (CSE 019 or CSE 021 or ME 021 or equivalent exam) Prerequisite Courses with Concurrent Option: MATH 130 or MATH 131 Instructor Permission Required: No View course scheduling information
	Syllabus MATH 141: Linear Analysis I Units: 4 Applied linear analysis of finite dimensional vector spaces. Review of matrix algebra, vector spaces, orthogonality, least-squares approximations, eigenvalue problems, positive definite matrices, singular value decomposition with applications in science and engineering. Course Details Repeats Allowed for Credit: 0 Discussion included Normal Letter Grade only GE Requirements Upper Division: Crossroads Approaches to Knowledge: Natural Science Badge: Scientific Method Badge: Quantitative and Numerical Analysis Badge: Practical and Applied Knowledge Requisites and Restrictions Prerequisite Courses: (MATH 023 or MATH 023H) and MATH 024 Instructor Permission Required: No View course scheduling information
	Syllabus MATH 146: Numerical Linear Algebra Units: 4 Matrix factorization and iterative methods for solving systems of linear equations. Topics include floating point arithmetic, eigenvalue problems, conditioning and stability, LU factorization, QR factorization, and SVD with applications in science and engineering. Course Details Repeats Allowed for Credit: 0 Laboratory included Normal Letter Grade only GE Requirements Upper Division: Crossroads Approaches to Knowledge: Natural Science Badge: Scientific Method Badge: Quantitative and Numerical Analysis Badge: Practical and Applied Knowledge Requisites and Restrictions Prerequisite Courses: ME 021 or CSE 019 or (CSE 020 and CSE 021 or equivalent exam) Prerequisite Courses with Concurrent Option: MATH 141 or MATH 130 or MATH 131 Instructor Permission Required: No View course scheduling information
	MATH 150: Mathematical Modeling Units: 4 Introduction to the basics of mathematical modeling emphasizing model construction, analysis and application. Using examples from a variety of fields such as physics, biology, chemistry and economics, students will learn how to develop and use mathematical models of real-world systems. Course Details Repeats Allowed for Credit: 0 Discussion included Normal Letter Grade only GE Requirements Upper Division: Crossroads Upper Division: Culminating Experience Approaches to Knowledge: Natural Science Approaches to Knowledge: Engineering Science Badge: Scientific Method Badge: Quantitative and Numerical Analysis Badge: Practical and Applied Knowledge Requisites and Restrictions Prerequisite Courses: (MATH 131 or MATH 130) and (MATH 125 or MATH 141) Instructor Permission Required: No View course scheduling information
	MATH 160: Mathematical Logic Units: 4 Introduction to the meta-theory of first-order logic. Topics include the consistency, compactness, completeness and soundness proofs for propositional and first-order logic; model theory; the axiomatization of number theory; Gödel’s incompleteness theorems and related results. Course Details Repeats Allowed for Credit: 0 Crosslisted with: PHIL 160 Normal Letter Grade with Pass/No Pass option GE Requirements Upper Division: Crossroads Approaches to Knowledge: Natural Science Approaches to Knowledge: Social Science Badge: Scientific Method Badge: Quantitative and Numerical Analysis Requisites and Restrictions Prerequisite Courses: PHIL 005 Instructor Permission Required: No View course scheduling information
	MATH 170: Quantitative Modeling of Biological Systems Units: 4 Introduces the design and analysis of mathematical models of biological phenomena. The course focuses on three different classes of mathematical models: difference equations, ordinary differential equations and partial differential equations. Biological topics covered are expected to vary but likely include population dynamics, enzyme kinetics, biochemical networks, cellular processes, epidemiology and pattern formation. Course Details Repeats Allowed for Credit: 0 Discussion included Normal Letter Grade only GE Requirements Approaches to Knowledge: Natural Science Badge: Quantitative and Numerical Analysis Badge: Scientific Method Upper Division: Crossroads Requisites and Restrictions Prerequisite Courses: MATH 024 Instructor Permission Required: No View course scheduling information
	MATH 180: Modern Applied Statistics Units: 4 Introduction to modern applied statistics emphasizing computational methods to deal with high-dimensional data. Multivariate linear and nonlinear regression, model selection, overfitting, cross-validation, bootstrapping and quantification of uncertainty in model parameters and predictions, principal component analysis, and classification. Course Details Repeats Allowed for Credit: 0 Laboratory included Normal Letter Grade only GE Requirements Upper Division: Crossroads Approaches to Knowledge: Natural Science Badge: Scientific Method Badge: Quantitative and Numerical Analysis Badge: Practical and Applied Knowledge Requisites and Restrictions Prerequisite Courses: MATH 024 and MATH 032 Instructor Permission Required: No View course scheduling information
	MATH 181: Stochastic Processes Units: 4 Introduction to stochastic processes with emphasis on problem-solving using both analytical and computational techniques. Markov chains in discrete and continuous time, martingales, branching processes, renewal processes, and Brownian motion. Course Details Repeats Allowed for Credit: 0 Discussion included Normal Letter Grade only GE Requirements Approaches to Knowledge: Natural Science Badge: Scientific Method Badge: Quantitative and Numerical Analysis Badge: Practical and Applied Knowledge Requisites and Restrictions Prerequisite Courses: MATH 024 and MATH 032 Instructor Permission Required: No View course scheduling information
	MATH 195: Upper Division Undergraduate Research Lower Unit Limit: 1 Upper Unit Limit: 5 Supervised research. Course Details Repeats Allowed for Credit: 99 Normal Letter Grade with Pass/No Pass option Requisites and Restrictions Instructor Permission Required: Yes View course scheduling information
	MATH 198: Upper Division Directed Group Study Lower Unit Limit: 1 Upper Unit Limit: 5 Course Details Repeats Allowed for Credit: 99 Pass/No Pass only Requisites and Restrictions Instructor Permission Required: Yes View course scheduling information
	MATH 199: Upper Division Individual Study Lower Unit Limit: 1 Upper Unit Limit: 5 Course Details Repeats Allowed for Credit: 99 Pass/No Pass only Requisites and Restrictions Instructor Permission Required: Yes View course scheduling information
	Syllabus MATH 201: Teaching and Learning in the Sciences Units: 1 Students will be introduced to ‘scientific teaching’ - an approach to teaching science that uses many of the same skills applied in research. Topics will include how people learn, active learning, designing, organizing and facilitating teachable units, classroom management, diversity in the classroom and assessment design. Course Details Repeats Allowed for Credit: 0 Crosslisted with: PHYS 201 Satisfactory/Unsatisfactory only Requisites and Restrictions Instructor Permission Required: No View course scheduling information
	Syllabus MATH 221: Advanced Ordinary Differential Equations Units: 4 Introduces advanced topics in the theory of ordinary differential equations (ODEs). This course emphasizes conceptual understanding and critical thinking. It will include simplified problems from physics and other disciplines to motivate certain topics. Course Details Repeats Allowed for Credit: 0 Discussion included Normal Letter Grade only Requisites and Restrictions Instructor Permission Required: No View course scheduling information
	MATH 222: Partial Differential Equations Units: 4 Elements of the theory of PDEs. Topics include solving first order PDEs using the Method of Characteristics, determining the existence, uniqueness, and well-posedness of solution of PDEs, and solving linear second order PDEs using the methods of Separation of Variables and Fourier series for boundary value problems and Sturm-Liouville theory. Course Details Repeats Allowed for Credit: 0 Discussion included Normal Letter Grade only Requisites and Restrictions Prerequisite Courses: MATH 221 Instructor Permission Required: No View course scheduling information
	MATH 223: Asymptotics and Perturbation Methods Units: 4 Asymptotic evaluation of integrals, matched asymptotic expansions, multiple scales, WKB, and homogenization. Applications are made to ODEs, PDEs, difference equations, and integral equations to study boundary and shock layers, nonlinear wave propagation, bifurcation and stability, and resonance. Course Details Repeats Allowed for Credit: 0 Discussion included Normal Letter Grade only Requisites and Restrictions Prerequisite Courses: MATH 221 Instructor Permission Required: No View course scheduling information
	MATH 224: Advanced Methods of Applied Mathematics Units: 4 Basic real analysis (metric spaces, continuity, contraction mapping theorem), Banach spaces, Hilbert spaces, linear operators, bounded operators, compact operators, spectral theory, distributions, Fourier transforms, a priori estimates, energy estimates, existence/uniqueness theory, variational calculus, and applications of the above material to concrete problems in applied mathematics. Course Details Repeats Allowed for Credit: 0 Discussion included Normal Letter Grade only Requisites and Restrictions Prerequisite Courses: MATH 221 and MATH 222 Instructor Permission Required: No View course scheduling information
	Syllabus MATH 231: Numerical Solution of Differential Equations I Units: 4 Focuses on construction and analysis of numerical methods that solve common problems in science and engineering. Course Details Repeats Allowed for Credit: 0 Discussion included Normal Letter Grade only Requisites and Restrictions Instructor Permission Required: No View course scheduling information
	MATH 232: Numerical Solution of Differential Equations II Units: 4 Fundamental methods are used as a base for discussing modern methods for solving partial-differential equations. Numerical methods include variational, finite element, collocation, spectral, and FFT. Error estimates and implementation issues are discussed. Course Details Repeats Allowed for Credit: 0 Discussion included Normal Letter Grade only Requisites and Restrictions Prerequisite Courses: MATH 231 Instructor Permission Required: No View course scheduling information
	MATH 233: Scientific Computing Units: 4 Theoretical and practical introduction to parallel scientific computing. Survey of hardware and software environments, and selected algorithms and applications. Topics include linear systems, N-body problems, FFTs, and methods for solving PDEs. Practical implementation and performance analysis are emphasized in the context of demonstrative applications in science and engineering. Course Details Repeats Allowed for Credit: 0 Discussion included Normal Letter Grade only Requisites and Restrictions Prerequisite Courses: MATH 232 Instructor Permission Required: No View course scheduling information
	MATH 243: Interdisciplinary Computational Graduate Education Units: 1 Focuses on teaching first-year graduate students from a variety of graduate programs skills in computational methods, programming languages, team science, project development, problem solving, social networking, and career preparation. Course Details Repeats Allowed for Credit: 0 Crosslisted with: CHEM 243, COGS 243, EECS 243, ME 243, PHYS 243, PSY 243, QSB 243 Laboratory included Normal Letter Grade with Satisfactory/Unsatisfactory option Requisites and Restrictions Instructor Permission Required: Yes View course scheduling information
	MATH 270: Academic Writing in Graduate Studies Units: 3 Designed to increase the writing proficiency of graduate students, with a focus on strategies for reading critically, organizing and developing thoughts, choosing appropriate vocabulary, and generating and revising writing in a given scientific field. Topics address scientific disciplines. Projects may include writing abstracts, research reports, literature reviews, posters, and grant proposals. Course Details Repeats Allowed for Credit: 0 Crosslisted with: CHEM 270, PHYS 270, QSB 270 Normal Letter Grade with Satisfactory/Unsatisfactory option Requisites and Restrictions Open only to following major/minor(s): Chemistry and Chemical Biology (Graduate) - CCB Physics (Graduate) - PHYI Quantitative & Systems Biology (Graduate) - QSB Applied Mathematics (Graduate) - AMAT Instructor Permission Required: No View course scheduling information
	MATH 290: Topics in Applied Mathematics Lower Unit Limit: 1 Upper Unit Limit: 3 Under faculty supervision, group of students meets each week for a semester in a student-led study group to pursue a specific topic of their choice that is not covered in other department courses. Course Details Repeats Allowed for Credit: 99 Normal Letter Grade only Requisites and Restrictions Instructor Permission Required: No View course scheduling information
	MATH 291: Applied Mathematics Seminar Units: 1 Seminar series covering various topics in applied mathematics presented by faculty, graduate students, and visiting speakers. Course Details Repeats Allowed for Credit: 99 Satisfactory/Unsatisfactory only Requisites and Restrictions Instructor Permission Required: Yes View course scheduling information
	Syllabus MATH 292: Special Topics in Applied Mathematics Lower Unit Limit: 1 Upper Unit Limit: 4 Treatment of a special topic or theme in applied mathematics at the graduate level. May be repeated for credit in a different subject area. Course Details Repeats Allowed for Credit: 99 Normal Letter Grade with Satisfactory/Unsatisfactory option Requisites and Restrictions Instructor Permission Required: Yes View course scheduling information
	MATH 295: Graduate Research Lower Unit Limit: 1 Upper Unit Limit: 12 Supervised research. Course Details Repeats Allowed for Credit: 99 Satisfactory/Unsatisfactory only Requisites and Restrictions Instructor Permission Required: Yes View course scheduling information
	MATH 298: Directed Group Study Lower Unit Limit: 1 Upper Unit Limit: 12 Group project under faculty supervision. Course Details Repeats Allowed for Credit: 99 Normal Letter Grade with Satisfactory/Unsatisfactory option Requisites and Restrictions Instructor Permission Required: Yes View course scheduling information
	MATH 299: Directed Independent Study Lower Unit Limit: 1 Upper Unit Limit: 6 Course Details Repeats Allowed for Credit: 99 Normal Letter Grade with Satisfactory/Unsatisfactory option Requisites and Restrictions Instructor Permission Required: Yes View course scheduling information
	Syllabus MATH 399: University Teaching Units: 1 Centered on a student’s classroom experiences as a Teaching Assistant in an undergraduate Applied Mathematics course. Provides a faculty-directed opportunity to implement teaching practices presented in the course Teaching and Learning in the Sciences. Involves video-taping of teaching, peer review, and weekly meetings with faculty. Course Details Repeats Allowed for Credit: 1 Discussion and Laboratory included Satisfactory/Unsatisfactory only Requisites and Restrictions Instructor Permission Required: Yes View course scheduling information
Mechanical Engineering
	ME 001: Introduction to Mechanical Engineering Units: 1 Introduces the practice of mechanical engineering and the areas of study involved. Fundamental physical and mathematical concepts are introduced and explored in the context of mechanics, thermofluids, and controls and systems. An overview of application fields and careers in mechanical engineering is developed, and ethics as it relates to the practice of mechanical engineering is investigated. Course Details Repeats Allowed for Credit: 0 Normal Letter Grade only Requisites and Restrictions Open only to the following class level(s): Freshman Sophomore Instructor Permission Required: No View course scheduling information
	ME 021: Engineering Computing Units: 4 Introduction to Matlab and a line programming language including FORTRAN, PYTHON, and C++. Concepts of formatted input/output, data types, variables, arrays, strings, variable scopes, logic statements, loops, functions and subroutines, and data graphing. Computing examples are drawn from mechanical engineering topics including linear algebraic equations and root search. Course Details Repeats Allowed for Credit: 0 Laboratory included Normal Letter Grade only GE Requirements Lower Division: Language Approaches to Knowledge: Engineering Science Badge: Scientific Method Badge: Quantitative and Numerical Analysis Badge: Practical and Applied Knowledge Requisites and Restrictions Open only to the following class level(s): Freshman Sophomore Instructor Permission Required: No View course scheduling information
	ME 120: Component Design Units: 3 Three-dimensional stress analysis; deflection and stiffness; static an dynamic loading; failure theories and fatigue; fasteners; welded joints; mechanical springs; bearing; gears; shafts; clutches; brakes and couplings; belts and pulleys. Course Details Repeats Allowed for Credit: 0 Normal Letter Grade only GE Requirements Approaches to Knowledge: Engineering Science Requisites and Restrictions Prerequisite Courses: ENGR 151 Instructor Permission Required: No View course scheduling information
	ME 129: Tribology Units: 3 Introduces the field of tribology. Fundamental principles of friction, lubrication, and wear are discussed from a mechanical engineering point of view. Topics include surface roughness, contact between surfaces, adhesion, friction, wear, fluid film lubrication, boundary lubrication, and nanotribology. Course Details Repeats Allowed for Credit: 0 Normal Letter Grade with Pass/No Pass option Requisites and Restrictions Prerequisite Courses: ENGR 120 and ENGR 151 Open only to following major/minor(s): Bioengineering (Undergraduate) - BENG Biological Sciences (Undergraduate) - BIOS Chemical Sciences (Undergraduate) - CHEM Chemical Sciences Minor (Undergraduate) - CHEM Computer Science & Engineering (Undergraduate) - CSE Environmental Engineering (Undergraduate) - ENVE Materials Sci & Engineering (Undergraduate) - MSE Mechanical Engineering (Undergraduate) - ME Physics (Undergraduate) - PHYS Physics Minor (Undergraduate) - PHYS Chemistry (Undergraduate) - CHM Chemistry Minor (Undergraduate) - CHM Instructor Permission Required: No View course scheduling information
	ME 135: Finite Element Analysis Units: 4 Introduce the basic fundamentals of the finite element methods. Beginning with simple one-dimensional problem, continuing to two- and three-dimensional elements, and ending with some applications in heat transfer, solid mechanics and fluid mechanics. Covers modeling, mathematical formulation, computer implementation and engineering software. Course Details Repeats Allowed for Credit: 0 Laboratory included Normal Letter Grade only GE Requirements Upper Division: Crossroads Requisites and Restrictions Prerequisite Courses: (MATH 023 or MATH 023H) and MATH 024 Instructor Permission Required: No View course scheduling information
	ME 136: Aerodynamics Units: 4 Methodologies for conducting wind tunnel experiments; Navier-Stokes Equations; Scaling; Prandtl Systems and Boundary Layer Theory; Circulation; Vorticity; Drag and Lift; Airfoil Theory; Source and Vortex Panel Methods; Compressible Flows. Course Details Repeats Allowed for Credit: 0 Laboratory included Normal Letter Grade only Requisites and Restrictions Prerequisite Courses: ENGR 120 and MATH 032 Instructor Permission Required: No View course scheduling information
	ME 137: Computer Aided Engineering Units: 3 Introduction to the use of modern computational tools used for design and analysis. Primary focus will be on product design with solid modeling and finite-element analysis. Software used is representative of that found in industry. Topics such as 2-D and 3-D drawing, tolerance specification, and FEA validation are also covered. Course Details Repeats Allowed for Credit: 0 Laboratory included Normal Letter Grade only GE Requirements Approaches to Knowledge: Engineering Science Requisites and Restrictions Open only to the following class level(s): Junior Senior Instructor Permission Required: No View course scheduling information
	ME 138: Introduction to Computational Fluid Dynamics Units: 4 Exposes students to the theory behind computational techniques used in the study of fluid flows in natural and engineered systems. Provides a hands-on introduction to the various steps involved in obtaining a numerical solution for fluid flow problems. Course Details Repeats Allowed for Credit: 0 Laboratory included Normal Letter Grade only Requisites and Restrictions Prerequisite Courses: ENGR 120 Open only to the following class level(s): Junior Senior Instructor Permission Required: No View course scheduling information
	ME 140: Vibration and Control Units: 4 Dynamics of particles and rigid bodies. Vibration of discrete systems with finite degrees of freedom and continuous structures including beams and plates. Resonance, anti-resonance, damping, and modal coupling. Modal analysis. Proportional, derivative and integral feedback controls of vibrations. Stability concept. Control design by root locus and frequency domain method. Course Details Repeats Allowed for Credit: 0 Laboratory included Normal Letter Grade only GE Requirements Upper Division: Writing in the Discipline Requisites and Restrictions Prerequisite Courses: MATH 024 and ENGR 057 Instructor Permission Required: No View course scheduling information
	ME 141: Control Engineering Units: 4 Dynamics of Linear Systems, Concepts of Stability, Feedback Control, Root Locus Design, Frequency-Domain Analysis and Compensator Design, State-Space Representation, Controllability and Observability, Linear Observers, Matrix Methods for Control Design, Linear Quadratic Regulator (LQR) Optimal Control and Digital Control. Course Details Repeats Allowed for Credit: 0 Laboratory included Normal Letter Grade only GE Requirements Upper Division: Crossroads Requisites and Restrictions Prerequisite Courses: MATH 024 and ME 140 Open only to the following class level(s): Junior Senior Instructor Permission Required: No View course scheduling information
	ME 142: Mechatronics Units: 4 Introduction to electro-mechanical systems controlled by microcontroller technology. The course covers theory, design and construction of smart systems; closely coupled and fully integrated products and systems; the synergistic integration of sensors, interfaces, actuators, microcontrollers, control and information technology. Course Details Repeats Allowed for Credit: 0 Laboratory included Normal Letter Grade only GE Requirements Upper Division: Crossroads Requisites and Restrictions Prerequisite Courses: ENGR 057 and ENGR 065 Instructor Permission Required: No View course scheduling information
	ME 143: Unmanned Aircraft Systems Units: 4 Prepares students with essential foundational, design, integration and operational knowledge to meet emerging UAS workforce demands. Topics include: UAS history, classification, applications, safety compliance; UAS components, basic aerodynamics, flight dynamics, navigation and control, payload integration, mission planning, sense-n-avoid; UAS use cases and other selected emerging topics. Course Details Repeats Allowed for Credit: 0 Laboratory included Normal Letter Grade only Requisites and Restrictions Prerequisite Courses: ENGR 057 and ENGR 065 Open only to the following class level(s): Sophomore Junior Senior Instructor Permission Required: No View course scheduling information
	ME 144: Introduction to Multi-body Dynamics Units: 3 Rigid body mechanics (Rotation parameterization, Newton-Euler equations, inertia tensor), Interconnected bodies (joints, actuators, controllers), Equations of motion (Lagrange’s equations, Lagrange multipliers, body jack, DAEs) and Analyses (kinematic, static, quasi-static, dynamic, kinetostatic, linear-dynamic). Course Details Repeats Allowed for Credit: 0 Conjoined with: ME 244 Laboratory included Normal Letter Grade only GE Requirements Upper Division: Crossroads Badge: Scientific Method Badge: Literary and Textual Analysis Badge: Quantitative and Numerical Analysis Badge: Practical and Applied Knowledge Requisites and Restrictions Prerequisite Courses: ENGR 151 and MATH 131 Prerequisite Courses with Concurrent Option: ME 140 Instructor Permission Required: No Background in vector mechanics, differential equations, numerical methods, linear algebra, MATLAB-Simulink, and Vibrations recommended View course scheduling information
	ME 145: Lagrange Dynamics Units: 3 Review of Newtonian dynamics, Generalized coordinates, Holonomic and non-holonomic constraints, Virtual displacements, Virtual work, D’Alembert’s principle, Lagrange equations, Hamilton’s principle, Variation principle, and Engineering applications. Course Details Repeats Allowed for Credit: 0 Normal Letter Grade only Requisites and Restrictions Prerequisite Courses: ME 140 Open only to the following class level(s): Junior Senior Instructor Permission Required: No View course scheduling information
	ME 146: Sensors and Actuators in Mechatronics Units: 3 Investigates topics on fundamental and applications of several different types of sensors and actuators that are widely utilized in mechanical and agricultural systems. Standard communication protocols between sensors, actuators, and control units will be covered. Explores how to build a sensor and actuator systems for practical applications in agricultural and mechanical systems. Assignments will involve the use of Arduino hardware and software. Course Details Repeats Allowed for Credit: 0 Laboratory included Normal Letter Grade only Requisites and Restrictions Prerequisite Courses: ENGR 065 Open only to the following class level(s): Junior Senior Instructor Permission Required: No View course scheduling information
	ME 170: Mechanical Engineering Capstone Design Units: 3 Design project must be selected and approved; project feasibility study and outline of the design project is completed; design methodology, optimization, product reliability and liability, economics, use of ASME codes. A final presentation is given at the end of the semester. Course Details Repeats Allowed for Credit: 0 Laboratory included Normal Letter Grade only GE Requirements Upper Division: Culminating Experience Badge: Scientific Method Badge: Quantitative and Numerical Analysis Badge: Diversity and Identity Badge: Global Awareness Badge: Sustainability Badge: Practical and Applied Knowledge Badge: Ethics Badge: Leadership, Community, and Engaging the World Requisites and Restrictions Prerequisite Courses: ME 120 and ENGR 135 and ME 137 Instructor Permission Required: No View course scheduling information
	ME 188: Machine Shop Technology Units: 1 Introduction to machine shop technology. Study of basic measuring tools, vernier calipers, steel rules, and micrometers, layout tools, hand tools. Emphasis in the theory and practice in the use of vertical milling machine, lathes and drilling machines. Course Details Repeats Allowed for Credit: 2 Laboratory included Pass/No Pass only Requisites and Restrictions Instructor Permission Required: No View course scheduling information
	ME 190: Special Topics in Mechanical Engineering Lower Unit Limit: 1 Upper Unit Limit: 4 Lectures on special topics within Mechanical Engineering that are not covered in the regularly scheduled courses. Each ME 190 class will have a specific focus which will be defined by the instructor of the course on a semester-by-semester basis. Course Details Repeats Allowed for Credit: 4 Laboratory included Normal Letter Grade only Requisites and Restrictions Open only to following major/minor(s): Mechanical Engineering (Undergraduate) - ME Open only to the following class level(s): Junior Senior Instructor Permission Required: No View course scheduling information
	ME 195: Upper Division Undergraduate Research Lower Unit Limit: 1 Upper Unit Limit: 4 Supervised research. Course Details Repeats Allowed for Credit: 99 Normal Letter Grade with Pass/No Pass option Requisites and Restrictions Instructor Permission Required: Yes View course scheduling information
	ME 198: Upper Division Directed Group Study Lower Unit Limit: 1 Upper Unit Limit: 5 Course Details Repeats Allowed for Credit: 99 Pass/No Pass only Requisites and Restrictions Instructor Permission Required: Yes View course scheduling information

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University of California, Merced

Course Descriptions

UNDERGRADUATE COURSES

GRADUATE COURSES

CROSS-LISTED/CONJOINED COURSES

COREQUISITE COURSE

PREREQUISITES

WORLD LANGUAGES

GRADING OPTIONS

MBSE 290: Special Topics in MBSE

MBSE 291: Research Seminar

MBSE 292: Group Meeting

MBSE 293: Journal Club

MBSE 294: Responsible Conduct of Research

MBSE 295: Graduate Research

MBSE 299: Directed Independent Study

MSE 010: Intrigue of Everyday Materials in a High-Tech World

MSE 104: Engineering Living Systems

MSE 104L: Engineering Living Systems Lab

MSE 109: Materials Thermodynamics

MSE 110: Solid State Materials Properties

MSE 111: Materials Kinetics and Processing

MSE 112: Materials Selection and Performance

MSE 113: Materials Characterization

MSE 114: Polymeric Materials

MSE 115: Ceramic Materials

MSE 116: Composites

MSE 117: New Materials

MSE 118: Introduction to Nanotechnology and Nanoscience

MSE 119: Materials Simulations

MSE 120: Materials Capstone Design

MSE 121: Mechanical Behavior of Materials

MSE 126: Nanodevice Fabrication: Bridging Research and Education

MSE 161: Sustainable Energy: Powering the World with Minimal Use of Materials

MSE 195: Upper Division Undergraduate Research

MSE 198: Upper Division Directed Group Study

MSE 199: Upper Division Individual Study

MATH 005: Preparatory Calculus

MATH 011: Calculus I

MATH 012: Calculus II

MATH 015: Introduction to Scientific Data Analysis

MATH 018: Statistics for Scientific Data Analysis

MATH 021: Calculus I for Physical Sciences and Engineering

MATH 022: Calculus II for Physical Sciences and Engineering

MATH 023: Vector Calculus

MATH 023H: Honors Vector Calculus

MATH 024: Linear Algebra and Differential Equations

MATH 032: Probability and Statistics

MATH 050: Beginning MATLAB Programming

MATH 090X: Freshman Seminar

MATH 091: General Topics in Applied Mathematics

MATH 095: Lower Division Undergraduate Research

MATH 098: Lower Division Directed Group Study

MATH 099: Lower Division Individual Study

MATH 101: Real Analysis

MATH 122: Complex Variables and Applications

MATH 125: Intermediate Differential Equations

MATH 126: Partial Differential Equations

MATH 130: Numerical Analysis

MATH 131: Numerical Methods for Scientists and Engineers

MATH 132: Numerical Methods for Differential Equations

MATH 140: Mathematical Methods for Optimization

MATH 141: Linear Analysis I

MATH 146: Numerical Linear Algebra

MATH 150: Mathematical Modeling

MATH 160: Mathematical Logic

MATH 170: Quantitative Modeling of Biological Systems

MATH 180: Modern Applied Statistics

MATH 181: Stochastic Processes

MATH 195: Upper Division Undergraduate Research

MATH 198: Upper Division Directed Group Study

MATH 199: Upper Division Individual Study

MATH 201: Teaching and Learning in the Sciences

MATH 221: Advanced Ordinary Differential Equations

MATH 222: Partial Differential Equations

MATH 223: Asymptotics and Perturbation Methods

MATH 224: Advanced Methods of Applied Mathematics