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.
FOREIGN LANGUAGES
No credit is allowed for completing a less advanced course after successful completion (C-or better) of a more advanced course in the foreign languages. This applies only to lower division foreign 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.
Provides oversight and structure for a student’s internship in a field related to Management in community organizations, professional research projects, etc. connected to the study of Management. Students are required to write an original research paper or relevant product that demonstrates how the internship advanced their knowledge of Management.
Course Details Repeatable for Credit: Yes Repeat Limit: 2
Pass/No Pass only
Requisites and Restrictions Open only to the following class level(s):
Seminar and capstone experience presents case studies in the field of business management. Issues explored are the ethical behavior, global and economic forces, organization, quality, products and services, functional management, and current issues and developments. Students work in teams analyzing the cases presented.
Course Details Repeatable for Credit: No Normal Letter Grade only
Requisites and Restrictions Prerequisite: ECON 005 and ECON 006A and (ECON 010 or equivalent exam) and ECON 100 and ECON 110 Open only to following major/minor(s):
Management & Business Economics (Undergraduate) - MBE
MGMT 197: Service Learning: Engineering Projects in Community Service
Lower Unit Limit: 1 Upper Unit Limit: 3
Multi-disciplinary teams of freshman through senior students work with community organizations to design, build, and implement engineering-based solutions for real-world problems. Students gain insight into the design and development process, and Management students gain practical experience working in a team of engineers and managing a project. Students are encouraged to participate at both the lower division (MGMT97) and upper-division (MGMT197) levels.
Course Details Repeatable for Credit: Yes Repeat Limit: 2
Crosslisted with: ENGR 097, ENGR 197, MGMT 097 Normal Letter Grade with Pass/No Pass option
Requisites and Restrictions Instructor Permission Required: Yes
Management of Innovation, Sustainability, and Technology
MIST 050: Introduction to Entrepreneurship
Units: 4
Provides hands-on training in the practice of entrepreneurship where students learn to make actual money in challenging exercises in “the real world” (or measurably improve a social good if students choose a social entrepreneurship project).
Course Details Anticipated term(s) course will be offered:
Fall
Repeatable for Credit: Yes Repeat Limit: Unlimited
Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No
Introduces skills and technologies to appropriately collect, manage, and safely dispose of data; known as “Data Governance” in industry. Explores the analytics research process from translating business problems into research questions that can be addressed through analytics. Develops the ability to frame a business problem, map alternative solutions, and identify sources for relevant data. Investigates threats to collection, storage, and protection of relevant data, and creating a plan to protect the important data assets.
Course Details Anticipated term(s) course will be offered:
Fall
Repeatable for Credit: No Laboratory included Normal Letter Grade only
Requisites and Restrictions Open only to the following class level(s):
MIST 132: Geographic Information Systems Analysis in Management
Units: 4
Introduces geographic information systems (GIS) for sustainability management as the technology of processing spatial data, including input, storage and retrieval; manipulation and analysis; reporting and interpretation. Emphasizes GIS as a decision support tool for problem solving in natural resource management, forestry, conservation, water, wildfire, agriculture, and other sustainability fields.
Course Details Repeatable for Credit: No Laboratory included Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No
Focuses on service innovation, generation of new successful service ventures. Helps students gain the skills necessary to be successful in three main aspects of service production and delivery systems: the back office, the front office, and service design.
Course Details Anticipated term(s) course will be offered:
Fall
Spring
Repeatable for Credit: No Crosslisted with: ENGR 158, MGMT 158 Discussion included Normal Letter Grade only
Requisites and Restrictions Open only to the following class level(s):
Explores methods to efficiently manage and analyze large complex datasets. The computer lab will introduce the Python programming language with a focus on extracting data from websites, exploring, and inquiry-oriented analyses and visualizations. Introduction to network science theory useful in understanding and managing complex socio-technological systems.
Course Details Anticipated term(s) course will be offered:
Spring
Repeatable for Credit: No Laboratory included Normal Letter Grade only
Requisites and Restrictions Prerequisite: (MATH 012 or equivalent exam) and (MATH 050 or CSE 020 or ME 021 or BIO 021 or equivalent exam) Concurrent Prerequisites: MATH 022 Open only to the following class level(s):
Provides students with a panoramic view of the changing nature of retailing and the many complex management issues facing retailers today using a social scientific approach. Emphasis is placed on the analysis of retail business models and operational strategies to market goods and services in two or more channels. Students learn about evolving consumer behavior and omnichannel supply chain management, as well as the social, environmental and economic impacts of retailing.
Course Details Anticipated term(s) course will be offered:
Spring
Repeatable for Credit: No Normal Letter Grade only
Requisites and Restrictions Open only to following major/minor(s):
Management & Business Economics (Undergraduate) - MBE
Management & Business Economics Minor (Undergraduate) - MBE
Management Analytics Decision-Making Minor (Undergraduate) - MAD
Provides students with a comprehensive understanding of how individuals respond to doing complex work in small groups using a social scientific approach. Students learn about important interpersonal processes and how to make them more effective, both individually and collectively. Emphasis is placed on managing and leading high-performing diverse teams to maximize positive individual and collective outcomes in a variety of organizational contexts.
Course Details Anticipated term(s) course will be offered:
Fall
Repeatable for Credit: No Normal Letter Grade only
Requisites and Restrictions Open only to following major/minor(s):
Management Analytics Decision-Making Minor (Undergraduate) - MAD
MIST 201: Leadership, Organizations, and Communications
Units: 4
Using management and organizational behavior theories, students will identify and evaluate examples of functional and dysfunctional leadership in workplace settings. Students will also learn and apply strategies for effectively managing employees and other human resources through the use of organizational case materials, leadership assessments, and team exercises involving both oral and written communications. Class and group discussions will focus on improving individual and team performance in work organizations with sensitivity to cross-cultural differences.
Course Details Anticipated term(s) course will be offered:
Fall
Repeatable for Credit: No Normal Letter Grade only
Requisites and Restrictions Open only to following major/minor(s):
Management of Innovation, Sustainability & Technology (Graduate) - MIST
MIST 202: Managerial Finance and Accounting Statements
Units: 4
Introduction to principles of accounting, finance and budgeting. Covers the fundamental accounting concepts and how to apply them, preparing accounts for different types of entities and understanding the differences between them. Covers foundations of financial management, including the time value of money, capital budgeting and evaluation, capital structure, valuation of various capital sources as well as financial aspects of the management of small business and entrepreneurial firms (sole proprietorships, partnership, small private corporations).
Course Details Anticipated term(s) course will be offered:
Fall
Repeatable for Credit: No Normal Letter Grade only
Requisites and Restrictions Open only to following major/minor(s):
Management of Innovation, Sustainability & Technology (Graduate) - MIST
Introduces concepts and methods for data-driven analysis and decision-making in complex interacting human-environment systems. Lectures on fundamental ingredients of complexity drawing on real-world examples. Lectures on decision making in scenarios involving qualitative, quantitative, and statistical information. Lectures and computational exercises introducing best-practices for data-oriented analysis. Computational exercises will draw on a combination of individual and team project presentations, providing valuable opportunity to practice and improve quantitative communication skills.
Course Details Anticipated term(s) course will be offered:
Fall
Repeatable for Credit: No Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No
Introduces methods for acquisition, analysis, and assessment of spatial data. Emphasizes geographic information systems and spatial statistical packages as support tools for problem solving and decision-making in natural resource management, market-based institutions, and non-profit organizations. Students work in teams to acquire, analyze, and assess spatial information from a given set of management case studies. The course will culminate with a team presentation where students will convey spatial data through visualization techniques and communicate findings.
Course Details Anticipated term(s) course will be offered:
Fall
Repeatable for Credit: No Laboratory included Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No
Students will gain an understanding of how information-based services and systems can be used to meet the needs and challenges of modern organizations, of how internet-related technologies add value to organizational and business functions, including marketing, management, and more. Students will use design thinking and management principles through project-based activities to improve strategies, processes, operations, and the decision making to better meet customer and other stakeholder needs.
Course Details Anticipated term(s) course will be offered:
Spring
Repeatable for Credit: No Normal Letter Grade only
Requisites and Restrictions Open only to following major/minor(s):
Management of Innovation, Sustainability & Technology (Graduate) - MIST
Provides graduate-level exposure to the key theories of entrepreneurship and innovation along with hands-on training in the practice of entrepreneurship and innovation.
Course Details Anticipated term(s) course will be offered:
Fall
Repeatable for Credit: No Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No
Introduces operations and project management concepts and tools to assist managers in efficient and effective delivery of goods and services. Explores project and program management concepts including critical path, crisis management, human resources, budgeting and planning considerations. Operations management topics explore value creation in both private and public sectors, quality service delivery, supply chain, and techniques for efficient service delivery.
Course Details Anticipated term(s) course will be offered:
Spring
Repeatable for Credit: No Normal Letter Grade only
Requisites and Restrictions Open only to following major/minor(s):
Management of Innovation, Sustainability & Technology (Graduate) - MIST
Utilizes theory, frameworks, and case studies to train students how to properly interpret and address law, policy, and risk in the management of the corporate, non-profit, and public sectors. Concepts include: laws as individual rights and obligations scaled-up to society; policies as prevailing strategies to reconcile social, ecological, and economic tensions; and risks as real or perceived exposure to loss of value for individuals, the environment, or the market.
Course Details Anticipated term(s) course will be offered:
Spring
Repeatable for Credit: No Normal Letter Grade only
Requisites and Restrictions Open only to following major/minor(s):
Management of Innovation, Sustainability & Technology (Graduate) - MIST
MIST 210: Integrative Project and Case Studies in Sustainability
Units: 4
Through case studies of non-profit and for-profit enterprises and public institutions, this course focuses on how to align people, information, and resources effectively to meet the triple bottom line: value generation, ethical treatment of workers, and environmental sustainability. Students will learn to analyze organizational impacts and develop practices that foster a balanced ecosystem as well as organizational effectiveness and includes work on a team-based capstone project.
Course Details Anticipated term(s) course will be offered:
Summer
Repeatable for Credit: No Normal Letter Grade only
Requisites and Restrictions Open only to following major/minor(s):
Management of Innovation, Sustainability & Technology (Graduate) - MIST
MIST 211: Strategy: Regional and Global Perspectives
Units: 2
Provides an introduction to strategic management and corporate governance in both regional and global contexts. Students will learn frameworks and theories about strategy formulation and implementation, competitive advantage, stakeholder analysis, value creation, product-market fit, business model innovation, organizational design, strategic planning and operations management. Students will integrate and apply this knowledge to case studies about private and public organizations, as well as on regional and international field trips to for-profit and non-profit enterprises.
Course Details Anticipated term(s) course will be offered:
Summer
Repeatable for Credit: No Normal Letter Grade only
Requisites and Restrictions Open only to following major/minor(s):
Management of Innovation, Sustainability & Technology (Graduate) - MIST
There are now growing efforts in what is called, “social ontology” to understand the nature of social entities, like a baseball team, a C corporation, a marriage, or a university. The majority of such efforts hold that, unlike the physical world that exists independently of human cognition, social entities exists because of, and depends upon, human cognition. This is an exploration of the best efforts to understand the social entities that comprise social reality.
Course Details Anticipated term(s) course will be offered:
Fall
Repeatable for Credit: No Normal Letter Grade with Pass/No Pass option
Requisites and Restrictions Instructor Permission Required: No
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 Repeatable for Credit: No Normal Letter Grade only
Requisites and Restrictions Prerequisite: MATH 024 and (PHYS 009 or PHYS 009H) and (BIO 001 or equivalent exam) and ENGR 045 Instructor Permission Required: No
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 Repeatable for Credit: No Laboratory included Normal Letter Grade only
Requisites and Restrictions Prerequisite: MATH 024 and (PHYS 009 or PHYS 009H) and (BIO 001 or equivalent exam) and ENGR 045 Instructor Permission Required: No
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 Repeatable for Credit: No Discussion included Normal Letter Grade only
Requisites and Restrictions Prerequisite: (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):
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 Repeatable for Credit: No Conjoined with: BEST 210 Laboratory included Normal Letter Grade only
Requisites and Restrictions Prerequisite: (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):
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 Repeatable for Credit: No Conjoined with: BEST 204 Discussion included Normal Letter Grade only
Requisites and Restrictions Prerequisite: (MATH 021 or equivalent exam) and (PHYS 008 or PHYS 008H or equivalent exam) and (CHEM 002 or CHEM 002H or equivalent exam) Concurrent Prerequisites: ENGR 130 Open only to following major/minor(s):
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 Repeatable for Credit: No Discussion and Laboratory included Normal Letter Grade only
Requisites and Restrictions Prerequisite: ENGR 045 Open only to following major/minor(s):
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 Anticipated term(s) course will be offered:
Spring
Repeatable for Credit: No Laboratory included Normal Letter Grade only
Requisites and Restrictions Prerequisite: (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):
Earth Systems Science (Undergraduate) - ESS
Applied Mathematical Sciences (Undergraduate) - MATH
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 Repeatable for Credit: No Conjoined with: BEST 224 Discussion included Normal Letter Grade only
Requisites and Restrictions Prerequisite: ENGR 045 Open only to following major/minor(s):
Earth Systems Science (Undergraduate) - ESS
Applied Mathematical Sciences (Undergraduate) - MATH
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 Repeatable for Credit: No Normal Letter Grade with Pass/No Pass option
Requisites and Restrictions Prerequisite: (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
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 Repeatable for Credit: No Normal Letter Grade with Pass/No Pass option
Requisites and Restrictions Prerequisite: (PHYS 009 or PHYS 009H) and ENGR 045 Instructor Permission Required: No
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 Repeatable for Credit: No Discussion and Laboratory included Normal Letter Grade only
Requisites and Restrictions Prerequisite: ENGR 045 Open only to following major/minor(s):
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 Anticipated term(s) course will be offered:
Fall
Repeatable for Credit: No Normal Letter Grade only
Requisites and Restrictions Prerequisite: (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
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 Repeatable for Credit: No Discussion and Laboratory included Normal Letter Grade only
Requisites and Restrictions Prerequisite: ENGR 045 Open only to following major/minor(s):
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 Repeatable for Credit: No Laboratory included Normal Letter Grade only
Requisites and Restrictions Prerequisite: MSE 112 and MSE 113 Open only to following major/minor(s):
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 Repeatable for Credit: No Conjoined with: BEST 221 Discussion included Normal Letter Grade only
Requisites and Restrictions Prerequisite: ENGR 045 Open only to following major/minor(s):
Applied Mathematical Sciences (Undergraduate) - MATH
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 Repeatable for Credit: No Conjoined with: BEST 226 Laboratory included Normal Letter Grade only
Requisites and Restrictions Prerequisite: (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
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 Repeatable for Credit: No Normal Letter Grade only
Requisites and Restrictions Prerequisite: (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):
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 Repeatable for Credit: No Discussion included Normal Letter Grade only
Requisites and Restrictions Cannot be taken for credit after successfully completing: MATH 011, MATH 021 Instructor Permission Required: No
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 Repeatable for Credit: No Discussion included Normal Letter Grade only
Requisites and Restrictions Prerequisite: 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
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 Repeatable for Credit: No Discussion included Normal Letter Grade only
Requisites and Restrictions Prerequisite: 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
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 Repeatable for Credit: No Laboratory included Normal Letter Grade only
Requisites and Restrictions Concurrent Prerequisites: MATH 005 or MATH 011 or MATH 021,or equivalent exam Not open to following major/minor(s):
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 Repeatable for Credit: No Discussion included Normal Letter Grade only
Requisites and Restrictions Prerequisite: (MATH 005 or MATH 011 or MATH 021 or equivalent exam) and (MATH 015 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
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 Repeatable for Credit: No Discussion included Normal Letter Grade only
Requisites and Restrictions Prerequisite: MATH 005 or equivalent exam Cannot also be taken due to similarity of content: MATH 011 Open only to following major/minor(s):
Earth Systems Science (Undergraduate) - ESS
Applied Mathematical Sciences (Undergraduate) - MATH
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 Repeatable for Credit: No Discussion included Normal Letter Grade only
Requisites and Restrictions Prerequisite: MATH 021 or equivalent exam Cannot also be taken due to similarity of content: MATH 012 Open only to following major/minor(s):
Earth Systems Science (Undergraduate) - ESS
Applied Mathematical Sciences (Undergraduate) - MATH
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 Repeatable for Credit: No Discussion included Normal Letter Grade only
Requisites and Restrictions Prerequisite: MATH 022 or equivalent exam Cannot also be taken due to similarity of content: MATH 023H Instructor Permission Required: No
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 Repeatable for Credit: No Discussion included Normal Letter Grade only
Requisites and Restrictions Prerequisite: MATH 022 with A- or better, or equivalent exam Cannot also be taken due to similarity of content: MATH 023 Instructor Permission Required: No
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 Repeatable for Credit: No Discussion included Normal Letter Grade only
Requisites and Restrictions Prerequisite: MATH 022 or equivalent exam Instructor Permission Required: No
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 Repeatable for Credit: No Discussion included Normal Letter Grade only
Requisites and Restrictions Concurrent Prerequisites: MATH 023 or MATH 023H Instructor Permission Required: No
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 Repeatable for Credit: No Normal Letter Grade only
Requisites and Restrictions Prerequisite: MATH 022 or equivalent exam Instructor Permission Required: No
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 Repeatable for Credit: No Pass/No Pass only
Requisites and Restrictions Concurrent Prerequisites: (MATH 023 or MATH 023H) and MATH 024 Instructor Permission Required: No
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 Repeatable for Credit: No Discussion included Normal Letter Grade only
Requisites and Restrictions Prerequisite: MATH 023 or MATH 023H Instructor Permission Required: No
Introduction to complex variables, analytic functions, contour integration and theory of residues. Mappings of the complex plane. Introduction to mathematical analysis.
Course Details Repeatable for Credit: No Discussion included Normal Letter Grade only
Requisites and Restrictions Prerequisite: (MATH 023 or MATH 023H) and MATH 024 Instructor Permission Required: No
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 Repeatable for Credit: No Discussion included Normal Letter Grade only
Requisites and Restrictions Prerequisite: (MATH 023 or MATH 023H) and MATH 024 Instructor Permission Required: No
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 Repeatable for Credit: No Discussion included Normal Letter Grade only
Requisites and Restrictions Prerequisite: MATH 125 Instructor Permission Required: No
Introduction to 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 Repeatable for Credit: No Discussion included Normal Letter Grade only
Requisites and Restrictions Prerequisite: ME 021 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
MATH 131: Numerical Methods for Scientists and Engineers
Units: 4
Introduction to 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 Repeatable for Credit: No Discussion included Normal Letter Grade only
Requisites and Restrictions Prerequisite: MATH 024 and (ME 021 or (CSE 020 and CSE 021 or equivalent exam)) Cannot also be taken due to similarity of content: MATH 130 Not open to following major/minor(s):
Applied Mathematical Sciences (Undergraduate) - MATH
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 Repeatable for Credit: No Discussion included Normal Letter Grade only
Requisites and Restrictions Prerequisite: MATH 125 and (MATH 130 or MATH 131) Instructor Permission Required: No
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 Repeatable for Credit: No Discussion included Normal Letter Grade only
Requisites and Restrictions Prerequisite: (MATH 023 or MATH 023H) and MATH 024 and (CSE 021 or ME 021 or equivalent exam) Concurrent Prerequisites: MATH 130 or MATH 131 Instructor Permission Required: No
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 Repeatable for Credit: No Discussion included Normal Letter Grade only
Requisites and Restrictions Prerequisite: (MATH 023 or MATH 023H) and MATH 024 Instructor Permission Required: No
Applied linear analysis of infinite dimensional vector spaces. Inner product spaces, operators, adjoint operators, Fredholm alternative, spectral theory, Sturm-Liouville operators, distributions and Green’s functions with applications in science and engineering.
Course Details Repeatable for Credit: No Discussion included Normal Letter Grade only
Requisites and Restrictions Prerequisite: MATH 141 Instructor Permission Required: No
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 Repeatable for Credit: No Laboratory included Normal Letter Grade only
Requisites and Restrictions Prerequisite: ME 021 or (CSE 020 and CSE 021 or equivalent exam) Concurrent Prerequisites: MATH 141 or MATH 130 or MATH 131 Instructor Permission Required: No
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 Repeatable for Credit: No Discussion included Normal Letter Grade only
Requisites and Restrictions Prerequisite: (MATH 131 or MATH 130) and (MATH 125 or MATH 141) Instructor Permission Required: No
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 Repeatable for Credit: No Crosslisted with: PHIL 160 Normal Letter Grade with Pass/No Pass option
Requisites and Restrictions Prerequisite: PHIL 005 Instructor Permission Required: No
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 Repeatable for Credit: No Laboratory included Normal Letter Grade only
Requisites and Restrictions Prerequisite: MATH 024 and MATH 032 Instructor Permission Required: No
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 Repeatable for Credit: No Discussion included Normal Letter Grade only
Requisites and Restrictions Prerequisite: MATH 024 and MATH 032 Instructor Permission Required: No
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 Repeatable for Credit: No Crosslisted with: PHYS 201 Satisfactory/Unsatisfactory only
Requisites and Restrictions Instructor Permission Required: No
Partial differential equations (PDEs) of applied mathematics. Topics include modeling physical phenomena, linear and nonlinear first-order PDEs, D’Alembert’s solution, second-order linear PDEs, characteristics, initial and boundary value problems, separation of variables, Sturm-Liouville problem, Fourier series, Duhamel’s Principle, linear and nonlinear stability.
Course Details Repeatable for Credit: No Discussion included Normal Letter Grade only
Requisites and Restrictions Prerequisite: MATH 122 Instructor Permission Required: No
Continuation of MATH 221. Topics include integral transforms, asymptotic methods for integrals, integral equations, weak solutions, point sources and fundamental solutions, conservation laws, Green’s functions, generalized functions, variational properties of eigenvalues and eigenvectors, Euler-Lagrange equations, Maximum principles.
Course Details Repeatable for Credit: No Discussion included Normal Letter Grade only
Requisites and Restrictions Prerequisite: MATH 221 Instructor Permission Required: No
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 Repeatable for Credit: No Discussion included Normal Letter Grade only
Requisites and Restrictions Prerequisite: MATH 221 Instructor Permission Required: No
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 Repeatable for Credit: No Discussion included Normal Letter Grade only
Requisites and Restrictions Prerequisite: MATH 221 and MATH 222 Instructor Permission Required: No
MATH 231: Numerical Solution of Differential Equations I
Units: 4
Examines fundamental methods typically required in the numerical solution of differential equations. Topics include direct and indirect methods for linear systems, nonlinear systems, interpolation and approximation, eigenvalue problems, ordinary-differential equations (IVPs and BVPs), and finite differences for elliptic partial-differential equations. A significant amount of programming is required.
Course Details Repeatable for Credit: No Discussion included Normal Letter Grade only
Requisites and Restrictions Prerequisite: MATH 132 Instructor Permission Required: No
MATH 232: Numerical Solution of Differential Equations II
Units: 4
Fundamental methods presented in MATH 231 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. A significant amount of programming is required.
Course Details Repeatable for Credit: No Discussion included Normal Letter Grade only
Requisites and Restrictions Prerequisite: MATH 231 Instructor Permission Required: No
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 Repeatable for Credit: No Discussion included Normal Letter Grade only
Requisites and Restrictions Prerequisite: MATH 232 Instructor Permission Required: No
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 Repeatable for Credit: No 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
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 Repeatable for Credit: No 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):
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 Repeatable for Credit: Yes Repeat Limit: Unlimited
Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No
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 Repeatable for Credit: Yes Repeat Limit: 1
Discussion and Laboratory included Satisfactory/Unsatisfactory only
Requisites and Restrictions Instructor Permission Required: Yes
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 Repeatable for Credit: No Laboratory included Normal Letter Grade only
Requisites and Restrictions Open only to the following class level(s):