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.
Management of Innovation, Sustainability, and Technology
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 Repeats Allowed for Credit: 0
Normal Letter Grade only
Requisites and Restrictions Open only to following major/minor(s):
Management of Innovation, Sustainability & Technology (Graduate) - MIST
Introduces students to fundamental concepts and principles of financial capital, and how to apply them in the budgeting and accounting of organizational projects and entrepreneurial ventures. Concepts include the time value of money, business valuation, capital sources and structure, equity distribution and dilution, as well as financial aspects of the management of small business and entrepreneurial firms (sole proprietorships, partnership, small private corporations).
Course Details Repeats Allowed for Credit: 0
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 Repeats Allowed for Credit: 0
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 Repeats Allowed for Credit: 0
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 Repeats Allowed for Credit: 0
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 key concepts and theories of innovation and entrepreneurship. Using a variety of methods, we will explore the basis of creativity, processes and practices of innovation within new ventures and established enterprises, and the fundamentals of entrepreneurial action and innovative organizational cultures. We will also discuss design thinking, innovation strategy and the alignment of innovative projects with corporate strategy.
Course Details Repeats Allowed for Credit: 0
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 Repeats Allowed for Credit: 0
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 Repeats Allowed for Credit: 0
Normal Letter Grade only
Requisites and Restrictions Open only to following major/minor(s):
Management of Innovation, Sustainability & Technology (Graduate) - MIST
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 reflect on and analyze organizational impacts and managerial practices, as well as their individual organizational effectiveness, in the context of performing their chosen summer internship, entrepreneurial venture or professional position. An individual final report and presentation is required.
Course Details Repeats Allowed for Credit: 0
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
Introduces students to strategic management and marketing in both regional and global contexts. Students will learn frameworks and theories about strategy formulation, competitive advantage, market research, product-market fit, value creation and business model innovation. Students will integrate and apply this knowledge during their participation in programs and field trips involving for-profit and non-profit enterprises.
Course Details Repeats Allowed for Credit: 0
Normal Letter Grade only
Requisites and Restrictions Open only to following major/minor(s):
Management of Innovation, Sustainability & Technology (Graduate) - MIST
Provides background and tools for students to understand and engage with systems of natural resource governance through the complex relationships of political and ecological factors. Topics and case studies will be theoretical and applied in nature, and draw from literature in political ecology, complexity theory, and land use planning. Central to this course will be the competing knowledge claims, power structures, and values that policy-makers, scientists, and the public deal in.
Course Details Repeats Allowed for Credit: 0
Crosslisted with: ES 241 Normal Letter Grade with Satisfactory/Unsatisfactory option
Requisites and Restrictions Open only to following major/minor(s):
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 Repeats Allowed for Credit: 0
Normal Letter Grade with Pass/No Pass option
Requisites and Restrictions Instructor Permission Required: No
Provides graduate students with broad exposure to major topics in organizational behavior with special emphasis on understanding the diversity of individual experience in the workplace. Readings and class discussions will focus on analyzing classic and contemporary research published in top-tier journals that addresses fundamental issues in the management of organizations. Assignments will stimulate the development of new theoretical ideas to explain individual and group behavior nested within organizational contexts.
Course Details Repeats Allowed for Credit: 0
Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No
Provides graduate students with a general introduction to the major research fields of information systems (IS). Includes current and historical topics appearing in top information systems journals. Focuses on analyzing classic and contemporary research published in top-tier journals that addresses fundamental issues in information systems. Stimulates the development of new theoretical ideas about the management, use, and design of information systems.
Course Details Repeats Allowed for Credit: 0
Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No
MIST 251: Management of Innovation, Sustainability, and Technology Speaker Series
Units: 1
Features both external and internal speakers on a variety of topics related to Management of Complex Systems, this speaker series will feature new speakers each semester.
Course Details Repeats Allowed for Credit: 99
Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No
Solidification and expansion of students’ existing knowledge of the important theoretical frameworks and methodological tools for management, innovation, sustainability and technology. Focus will be on reading and evaluating current papers from leading journals. The theory of science and the review process will be briefly discussed.
Course Details Repeats Allowed for Credit: 0
Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No
MIST 253: Coupled Natural Human Systems - Foundations II
Units: 4
Presents theoretical foundations and practical applications of research methods used in coupled natural and human (CNH) systems research and for the management of complex systems (MCS). Qualitative and quantitative socio-economic and socio-ecological research methods are emphasized. Students also develop a research project that considers natural and social science research, as well as qualitative and quantitative social science research methodologies, on a complex human and natural system topic of their choice.
Course Details Repeats Allowed for Credit: 0
Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No
MIST 254: Systems Thinking for a Just and Sustainable Future
Units: 4
Introduces systems thinking, key concepts and methods, particularly related to climate change and sustainability. Systems thinking is based on relationships, patterns and context. This way of thinking is crucial for understanding the complexity of major social and ecological problems, and determining leverage points for effective solutions. Students will develop the analytical tools for systems thinking and be better equipped to make decisions that support a socially just and environmentally sustainable future.
Course Details Repeats Allowed for Credit: 1
Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No
Provides a deeper understanding of the scientific method and guides students through the process of undertaking scientific research in complex, coupled human-natural systems. Focus is on application of science epistemology to synthesize scientific literature and state of the knowledge, define research questions, develop hypotheses, identify methodological approaches, interpret and communicate outcomes, and characterize relevance. Students will construct a research proposal and learn to deconstruct and critique research following ethical best practices and regulatory guidelines.
Course Details Repeats Allowed for Credit: 0
Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No
MIST 261: Qualitative Methods for Management and Innovation Studies
Units: 4
Provides an understanding of how to conduct qualitative research particularly in the context of management, innovation and sustainability studies. The course offers an understanding of the major philosophical and epistemological underpinnings of qualitative research strategies and introduces the students to a range of qualitative research methodologies. Students learn how to define qualitative research questions, design a qualitative study, and write up qualitative research through examples from existing research and exploration of their own research ideas.
Course Details Repeats Allowed for Credit: 0
Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No Students should be enrolled in a PhD program.
Introduces the data analytics pipeline relevant to graduate research work: obtaining raw unstructured data; cleaning, organizing, merging and identifying potential pitfalls in the data; exploring and visualizing the underlying statistics; introduction to preliminary stochastic, generative and econometric modeling methods. Introduces best-practices for handling and analyzing large multi-scale datasets using examples drawn from open-data repositories.
Course Details Repeats Allowed for Credit: 0
Crosslisted with: ES 288 Laboratory included Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No
This is not an introduction to programming/scripting course. Students who are unsure of their preparation level should contact the instructor prior to enrollment to clarify the presumed statistical/computational/mathematical skillset.
Introduces mathematical and computational formalism for representing, modeling, and visualizing networks; fundamental stochastic models that give rise to different classes of networks (e.g. Erdos-Renyi, small-world, power-law); examples and emergent network-mediated phenomena occurring in a wide array of natural and socio-technological systems; efficient data structures for analyzing and visualizing large networks.
Course Details Repeats Allowed for Credit: 0
Crosslisted with: ES 289 Laboratory included Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No Basic scripting language experience (e.g. in Mathematica, Python, or R); Students who do not have this background may want to take MIST 272 first; or students may enroll with permission of the instructor. Students who are unsure of their preparation level should contact the instructor prior to enrollment to clarify the presumed statistical/computational/mathematical skillset.
Materials and Biomaterials Science and Engineering
MBSE 209: Soft Matter Physics
Units: 4
Introduces the physics of soft materials. Uses a physics based approach to study the structure and assembly of a variety of materials including liquid crystals, polymers, colloidal systems and surfactants including biological examples.
Course Details Repeats Allowed for Credit: 0
Crosslisted with: PHYS 209 Conjoined with: PHYS 109 Discussion included Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No
Bonding and structure of materials and their relationship to the mechanical, thermal, electrical, optical, and magnetic properties of materials, within the context of structure-properties-processing-performance relationships. Crystal structures including units cells, crystal lattices, Miller indices, crystal systems, Bravais lattices, space groups, point groups. Defects. Diffration from crystal structures. Special topics include dielectrics, superconductors, layered compounds. Characterization methods and device applications will also be discussed.
Course Details Repeats Allowed for Credit: 0
Discussion included Normal Letter Grade only
Requisites and Restrictions Open only to following major/minor(s):
Explores isotropic and anisotropic physical properties (mechanical, electrical, optical, thermal and magnetic) of metals, ceramics, polymers, low-dimensional materials and nanomaterials, along with techniques for characterizing them and strategies for optimizing them. The relationship between these properties and underlying atomic, molecular, crystallographic, microscopic and macroscopic structure will be emphasized.
Course Details Repeats Allowed for Credit: 0
Discussion included Normal Letter Grade only
Requisites and Restrictions Open only to following major/minor(s):
Reviews the fundamentals of thermodynamics and kinetics. Equilibrium in single and multicomponent systems. Thermodynamics of defects, surfaces, and interfaces. Phase equilibria; phase diagrams. Thermodynamics and kinetics of phase transformations; rates of transformation; nucleation; formation of microstructure; crystal growth. Thermodynamics of liquid crystals, polymers, and other complex materials. Diffusion; transport of matter, energy, and charge. Chemical and electrochemical equilibria; kinetics of chemical reactions.
Course Details Repeats Allowed for Credit: 0
Discussion included Normal Letter Grade only
Requisites and Restrictions Open only to following major/minor(s):
Tissue Engineering is an interdisciplinary field focused on developing strategies for regenerating human cells, tissues and organs. Fundamental topics will include: cell source (including stem cells, plasticity, cloning, cell differentiation and purification), cell culture and tissue organization, gene therapy, cell adhesion and migration, bioreactor and tissue-material design, tissue preservation, and immunoisolation and/or modulation.
Course Details Repeats Allowed for Credit: 0
Crosslisted with: QSB 214 Laboratory included Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No
Introduces the theory and application of computational approaches for modeling and predicting the properties of materials. Materials simulation methods covered include density functional theory, molecular dynamics, Monte Carlo, and mesoscale modeling. Students will gain hands-on experience with several modern materials simulation software packages and also develop proficiency in scientific computing, data analysis, and visualization. A computational research project will be developed and performed.
Course Details Repeats Allowed for Credit: 0
Crosslisted with: PHYS 246 Discussion and Laboratory included Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No
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 Open only to following major/minor(s):
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 Open only to following major/minor(s):
Covers adhesion, friction, wear, and lubrication from a bottom-up perspective; microscopic physical origins of concepts including roughness, elasticity, plasticity, friction coefficients, and wear coefficients; surface energies, forces, and their measurement; atomistic origins of friction.
Course Details Repeats Allowed for Credit: 0
Crosslisted with: ME 229 Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No
Materials are becoming increasingly important in biomedical applications because we now know that cells can sense and dynamically respond to information about their environment through the materials in which they encounter. Examples include: mechanical properties, cell-cell interactions, cell-matrix interactions, and soluble factors. Presents the fundamental aspects of the design of biomaterials to promote or block these processes.
Course Details Repeats Allowed for Credit: 0
Discussion included Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No
This course is an introduction to the physics of materials designed for graduate students in physics or chemistry. The course will cover traditional solid-state physics and examine the relationship between microscopic structure and bulk properties in different materials.
Course Details Repeats Allowed for Credit: 0
Crosslisted with: PHYS 241 Conjoined with: PHYS 141 Discussion included Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No
Examines the chemical and physical mechanisms behind a range of natural materials with intriguing combinations of properties that can serve as inspirations for materials design. Covered topics include: analysis of chemical bonding schemes found in nature, structure-function relations in natural tissues, damage repair and self-healing abilities in the context of bonding and structure, hierarchical assembly mechanisms and their relationship to optical and mechanical properties, and sustainable materials.
Course Details Repeats Allowed for Credit: 0
Discussion included Normal Letter Grade only
Requisites and Restrictions Open only to following major/minor(s):
Current systems for energy supply and use. Renewable energy technologies and integration of renewable energy into clean energy systems. Technology status and current research topics to advance clean energy systems. Role of electrification and strategies for energy uses outside of power sector. All types of renewable energy generation will be included along with all types of storage and other infrastructure required to deliver clean energy whenever and wherever it is needed.
Course Details Repeats Allowed for Credit: 0
Crosslisted with: ES 260 Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No
Covers energy storage schemes/devices with major focus on electrochemical storages including ionic batteries, fuel cells and super-capacitors. The course will cover operating principles, physics behind them, characterization methods and advantages/issues of each scheme. Exposure to thermodynamics is recommended but not mandatory.
Course Details Repeats Allowed for Credit: 1
Crosslisted with: ME 261 Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No
MBSE 262: Fuel Cell Fundamentals, Modeling, and Diagnostic
Units: 3
Introduces knowledge of electrochemistry and fuel cell operation followed by modeling and diagnostic of a fuel cell. Topics include transport, electrochemical reaction, impedance, cyclic voltammetry, etc.
Course Details Repeats Allowed for Credit: 0
Crosslisted with: ME 262, ES 231 Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No Knowledge of Chemistry, Fluid Mechanics, and Thermodynamics highly recommended
Covers photovoltaic materials, and how they are assembled into solar cells, modules and systems. Topics include understanding how climate change motivates faster adoption of solar energy, properties of sunlight, basics of semiconductor devices, solar cell operation, characterization and evaluation of optical and electrical losses, manufacturing technologies, module and array performances, solar energy storage and the TeraWatt challenge.
Course Details Repeats Allowed for Credit: 0
Crosslisted with: ES 265 Normal Letter Grade only
Requisites and Restrictions Instructor Permission Required: No This course assumes foundational knowledge of physics (including electricity), chemistry and math. Students should be very comfortable with using exponential and logarithmic functions as well as calculus. Additionally, students should be adept at unit conversions. Some exposure to solid state physics or an understanding of semiconductors will be very helpful. The purpose of the course is to provide students with the opportunity to gain a deeper understanding of the solar energy and solar cell operation, fabrication and application.
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
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
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
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
The laboratory component of Engineering Living Systems design to complement the lecture course. It is focused on developing strategies for using cells with material scaffolds towards assembly of tissues and organs. Fundamental topics will include the following” cell source (including stem cells, plasticity, cloning, cell differentiation and purification), cell culture, cell adhesion and migration, cell patterning, materials design and fabrication, as well as, design of bioreactors, on-chip diagnostic platforms including mini-organs.
Course Details Repeats Allowed for Credit: 0
Laboratory included Normal Letter Grade only
Requisites and Restrictions Prerequisite Courses: (MATH 012 or MATH 022 or equivalent exam) and (PHYS 008 or PHYS 008H or PHYS 018 or equivalent exam) and (BIO 001 or BIOE 001 or equivalent exam) and (CHEM 002 or CHEM 002H or equivalent exam) 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 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):
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):
Kinetic principles are applied to the study of mass transport processes, reactions, and phase transformations in engineering materials, with an emphasis on the solid state. Topics include thermal activation, reaction rates and pathways, nucleation and growth, epitaxy and templating, evolution and control of micro- and nano-structure, and kinetic considerations in electrochemistry. Applications and case studies relevant to processing and property retention of metals, polymers, ceramics, semiconductors and nanomaterials are considered.
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) Prerequisite Courses with Concurrent Option: MSE 109 or ENGR 130 or BIOE 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 Repeats Allowed for Credit: 0
Discussion and Laboratory included Normal Letter Grade only
GE Requirements
Badge: Sustainability
Upper Division: Crossroads
Requisites and Restrictions Prerequisite Courses: 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 Repeats Allowed for Credit: 0
Laboratory included Normal Letter Grade only
GE Requirements
Badge: Media and Visual Analysis
Upper Division: Writing in the Discipline
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
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):
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
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
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):
MSE 118: Introduction to Nanotechnology and Nanoscience
Units: 4
Introduces 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
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) Open only to the following class level(s):
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):
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
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
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):
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 Course 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 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
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
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):
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) Course 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 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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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