May 28, 2022  
2014-2015 Catalog 
    
2014-2015 Catalog [ARCHIVED CATALOG]

Course Descriptions


UNDERGRADUATE COURSES
Lower Division Courses numbered 1–99 are designed primarily for freshmen and sophomores but are open to all students for lower division credit. (Graduate students requesting to enroll in lower-division undergraduate courses will not receive unit credit nor will the course fulfill degree requirements.) Upper Division Courses courses numbered 100–199 are open to all students who have met the necessary prerequisites as indicated in the catalog course description. Preparation should generally include completion of one lower division course in the given subject or completion of two years of college work.

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

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

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

PREREQUISITES
Prerequisites for courses should be followed carefully; the responsibility for meeting these requirements rests on the student. If you can demonstrate that your preparation is equivalent to that specified by the prerequisites, the instructor may waive these requirements for you. The instructor also may request that a student who has not completed the prerequisites be dropped from the course. Note: For all 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. 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.

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. 

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

 

Management

  
  
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    MGMT 116: Organizational Strategy


    [4.0 units]

    Discussion of critical issues in the design and functioning of effective organizations. Topics covered include: the boundary of the firm, firm structure, arrangements within the firm, alliances and contracts between firms, and trust and culture in the firm.

    Prerequisite: ECON 001 .


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    MGMT 120: Marketing


    [4.0 units]

    Marketing is about identifying consumer needs, developing products and services which meet the changing consumer needs or market conditions. We provide an examination of principles of customer marketing as well as business-to-business marketing. It focuses those aspects of marketing which most frequently demand strategic attention in any business.

    Prerequisite: Junior standing.


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    MGMT 121: The Economics of Money, Banking, and Financial Institutions


    [4.0 units]

    Addresses issues of money, banking, and financial institutions. Topics covered include: the structure of central banks and the Federal Reserve system, theories of money demand and money supply, the relationship between money supply and overall economic activity, and the role the Federal Reserve plays in economic stabilization.

    Prerequisite: ECON 001 . Normal Letter Grade only.


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    MGMT 126: Information Systems and Service Design


    [4.0 units]

    Presents an end-to-end view of the design life cycle for information systems and services. It explains how design problems are conceived, researched, analyzed and resolved in different types of organizations and contexts, including start-ups, enterprises with legacy-systems, non-profit and government entities.

    Prerequisite: Senior Standing. Computer Science and Engineering or Management majors only. Normal Letter Grade only. Discussion included.


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    MGMT 130: Econometrics


    [4.0 units]

    Introduction of problems of observation, estimation and hypotheses testing in economics through the study of the theory and application of linear regression models, critical evaluation of selected examples of empirical research and exercises in applied economics.

    Prerequisite: ECON 010  and (MATH 011  or MATH 021 ). Normal Letter Grade only. Laboratory included.


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    MGMT 135: Business Law


    [4.0 units]

    Conceptual and functional analysis of legal principles relevant to the conduct and understanding of commercial business transactions. Topics include personal and real; government regulations; negotiable instruments; debtor/creditor relationships; and bankruptcy and reorganization. Salient legal aspects of international business are also discussed.

    Prerequisite: (ECON 005  or MGMT 005 ) and MGMT 026  or consent of instructor.

     


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    MGMT 141: Industrial Relations and Human Resource Economics


    [4.0 units]

    Examines how firms make decisions involving human resources. Topics covered include employee hiring and recruitment, compensation and use of incentives, and employee motivation and teamwork. Builds on both economic theory and practical examples to illuminate key concepts.

    Prerequisite: ECON 100 . Normal Letter Grade only.


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    MGMT 150: Service Science


    [4.0 units]

    Services e.g., restaurants, hotels, lawyers, information technology operations, business consulting–account for more than 80% of jobs in the US. Through case studies of businesses and scientific studies of people in real service settings, this course focuses on how to align people and technology effectively to generate value.

    Prerequisite: Junior standing and ECON 001 . Normal Letter Grade only.


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    MGMT 151: Public Economics


    [4.0 units]

    The influence of governmental revenue and expenditure decisions on economic performance. Examines such issues as public goods and externalities, as well as specific expenditure and taxation programs.

    Prerequisite: ECON 100 .


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    MGMT 152: Law and Economics


    [4.0 units]

    The economic analysis of legal rules and institutions, including property, contract, and tort law. We also consider issues surrounding crime and punishment.

    Prerequisite: ECON 100 .


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    MGMT 153: Judgment and Decision Making


    [4.0 units]

    An introduction to the study of human judgment and decision making. Topics include decision making under uncertainty, financial choices, health decision making, group decisions, rational theories of choice behavior, and improving decision making. The material is related to cognitive science, psychology, economics, and other social sciences.

    Prerequisite: COGS 001  or PSY 001  or ECON 001 .


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    MGMT 154: Cognitive Science Applications for Management


    [4.0 units]

    Covers thought, behavior, and interaction in modern businesses, where knowledge workers interact with one another and with technology. Topics include business decision making, risk behavior, attitudes toward risk, planning, communication, information management, information systems, human-computer interaction, neuroeconomics, and organizational behavior.

    Prerequisite: COGS 001  or PSY 001  or consent of instructor.


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    MGMT 155: Decision Analysis in Management


    [4.0 units]

    Presents the tools of decision science using a quantitative approach, with a focus on investment, finance and management decisions. These tools include decision tree analysis, risk and uncertainty analysis, stochastic dominance, the value of information, probability bias, and subjective probability.

    Prerequisite: ECON 100  and (ECON 010  or POLI 010 ) or consent of instructor.


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    MGMT 158: Service Innovation


    [4 Units]

    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.

    Normal Letter Grade Only. Discussion Included.


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    MGMT 160: International Microeconomics


    [4.0 units]

    This is a course in international microeconomics at the intermediate level. Standard microeconomics is the study of decision-making by various types of agents under various constraints and in various environments. International microeconomics examines such decision-making in a world of many different decision-makers, objectives, outputs, and countries.

    Prerequisite: ECON 100  and (ECON 010  or POLI 010 ) or consent of instructor.


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    MGMT 164: Operations Management


    [4.0 units]

    Operations Management (OM) deals with designing, managing and controlling business processes. It examines the concepts and quantitative analytic tools for commonly occurring problems in OM, such as capacity control, inventory management, production planning, supply chain management, quality control, etc. Students gain a competitive insight on the managerial decision-making in operations.

    Prerequisite: Sophomore Standing. Bioengineering, Cognitive Science, Computer Science and Engineering, Economics, Environmental Engineering, Management, Materials Science and Engineering, or Mechanical Engineering majors only. Normal Letter Grade only.


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    MGMT 165: Corporate Finance


    [4.0 units]

    Explores corporate decision making in allocating investment funds to capital projects and alternative methods of raising capital from financial markets. Related topics include asset pricing, capital budgeting, capital structure, dividend policy, valuation of bonds, stocks, and options. Particular attention is paid to how managers maximize shareholder wealth.

    Prerequisite: ECON 100  and (ECON 005  or MGMT 005  for MGMT majors only). Normal Letter Grade only.


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    MGMT 170: Information Systems for Management


    [4.0 units]

    Introduces the students to organizational use of information systems and information technology, and discusses how these create value for organizations.

    Prerequisite: Junior Standing. Cognitive Science, Computer Science and Engineering, Economics, Environmental Engineering, Management, Materials Science and Engineering, or Mechanical Engineering majors only. Normal Letter Grade only.


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    MGMT 171: IT Strategy


    [4.0 units]

    Introduces the relationship between information technology and management, and the strategies for changing and strengthening the competitiveness of the enterprises by using information technology. The course focuses on managerial issues related to technology, and methods for restructuring of the enterprises through the creation of innovative business-models.

    Prerequisite: Bioengineering, Cognitive Science, Computer Science and Engineering, Economics, Environmental Engineering, Management, Materials Science and Engineering, Mechanical Engineering majors only. Normal Letter Grade only.


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    MGMT 173: Advanced Judgment and Decision Making


    [4.0 units]

    Advanced study of recent research on judgment and decision making, such as behavioral economics, rationality and intelligence, health and medical decision making, decision neuroscience.

    Prerequisite: COGS 153  or MGMT 153  or ECON 153  or POLI 153 .


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    MGMT 180: Entrepreneurship


    [4.0 units]

    Integrates the skills students have developed in prior MGMT courses, and provides a framework for the consideration of new business ventures. Topics covered include: market research, creation of a formal business plan, marketing strategy, financing, establishing channels of distribution and bringing products or services to market.

    Prerequisite: Junior standing.


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    MGMT 192: Internship in Management


    [1.0-4.0 units]

    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.

    Prerequisite: Junior standing. Pass/Fail only. Course may be repeated 2 times for credit.


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    MGMT 196: Case Study Seminar in Management


    [4.0 units]

    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.

    Prerequisite: Senior standing and (ECON 005  or MGMT 005 ) and MGMT 026  and ECON 010  and (ECON 130  or MGMT 130 ) and ECON 100  or consent of instructor. Management majors only. Normal Letter Grade only.


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    MGMT 197: Service Learning: Engineering Projects in Community Service


    [1.0-3.0 units]

    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 may be repeated 2 times for credit.


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    MGMT 290: Labor Studies Seminar


    [3.0 units]

    Research presentations by visiting scholars in the area of quantitative labor studies.

    Satisfactory/Unsatisfactory only.


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Materials Science and Engineering

  
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    MSE 109: Materials Thermodynamics


    [4.0 units]

    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.

    Prerequisite: Junior Standing and (CHEM 002  or CHEM 002H ) and ENGR 045  and MATH 021  and (PHYS 008  or PHYS 008H ) or consent of instructor. Bioengineering, Chemical Sciences, Computer Science and Engineering, Environmental Engineering, Materials Science and Engineering, Mechanical Engineering, or Physics majors only. Normal Letter Grade only. Discussion included.


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    MSE 110: Solid State Materials Properties


    [4.0 units]

    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.

    Prerequisite: Junior standing and (CHEM 002  or CHEM 002H ) and ENGR 045  and MATH 021  and (PHYS 008  or PHYS 008H ) or consent of instructor. Bioengineering, Chemical Sciences, Computer Science and Engineering, Environmental Engineering, Materials Science and Engineering, Mechanical Engineering, Physics majors only. Normal Letter Grade only. Laboratory included.


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    MSE 111: Materials Kinetics and Processing


    [4.0 units]

    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.

    Prerequisite: Junior standing and MATH 021  and (PHYS 008  or PHYS 008H ) and (CHEM 002  or CHEM 002H ) and ENGR 130 , which may be taken concurrently. Bioengineering, Chemical Sciences, Computer Science and Engineering, Environmental Engineering, Materials Science and Engineering, Mechanical Engineering, Physics majors only. Normal Letter Grade only. Discussion included.


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    MSE 112: Materials Selection and Performance


    [3.0 units]

    Design considerations in the use of materials; quality control; selecting materials to optimize multiple properties; materials failure; long-term materials properties; materials behavior under extreme conditions; corrosion; discussion of design and materials selection strategy; processing and process selection strategy; process economics; life-cycle thinking and eco-design; special topics.

    Prerequisite: Junior standing and ENGR 045  and good academic standing or consent of instructor. Bioengineering, Computer Science and Engineering, Environmental Engineering, Materials Science and Engineering, Mechanical Engineering majors only. Normal Letter Grade only. Discussion, Laboratory included.


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    MSE 113: Materials Characterization


    [4.0 units]

    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.

    Prerequisite: Junior standing and MATH 021  and (PHYS 008  or PHYS 008H ) and (PHYS 009  or PHYS 009H ). Applied Mathematical Sciences, Bioengineering, Chemical Sciences, Computer Science and Engineering, Earth Systems Science, Environmental Engineering, Materials Science and Engineering, Mechanical Engineering, Physics majors only. Normal Letter Grade only. Offered spring only. Laboratory included.


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    MSE 114: Polymeric Materials


    [4.0 units]

    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.

    Prerequisite: Junior standing and ENGR 045  or equivalent or consent of instructor. Applied Mathematical Sciences, Bioengineering, Chemical Sciences, Computer Science and Engineering, Earth Systems Science, Environmental Engineering, Materials Science and Engineering, Mechanical Engineering, Physics majors only. Normal Letter Grade only. Discussion included.


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    MSE 115: Ceramic Materials


    [3.0 units]

    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.

    Prerequisite: MATH 021  and (PHYS 008  or PHYS 008H ) and (PHYS 009  or PHYS 009H ) and ENGR 045 .


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    MSE 116: Composites


    [3.0 units]

    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.

    Prerequisite: (PHYS 009  or PHYS 009H ) and ENGR 045 .


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    MSE 117: New Materials


    [3.0 units]

    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.

    Prerequisite: Junior standing and ENGR 045  or consent of instructor. Bioengineering, Computer Science and Engineering, Environmental Engineering, Materials Science and Engineering, Mechanical Engineering. Normal Letter Grade only. Discussion, Laboratory included.


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    MSE 118: Introduction to Nanotechnology and Nanoscience


    [3.0 units]

    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.

    Prerequisite: MATH 021  and (PHYS 008  or PHYS 008H ) and (CHEM 002  or CHEM 002H ). Normal Letter Grade only. Offered fall only.


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    MSE 119: Materials Simulations


    [3.0 units]

    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.

    Prerequisite: Junior standing and ENGR 045  or good academic standing or consent of instructor.  Normal Letter Grade only. Discussion, Laboratory included.


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    MSE 120: Materials Capstone Design


    [3.0 units]

    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.

    Prerequisite: Senior standing and MSE 112  and MSE 113  or consent of instructor. Materials Science and Engineering majors only. Normal Letter Grade only. Laboratory included.


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    MSE 121: Mechanical Behavior of Materials


    [4.0 units]

    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.

    Prerequisite: Junior standing and ENGR 045 . Engineering and Applied Mathematics Majors only.
    Normal Letter Grade only. Discussion included.


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    MSE 126: Nanodevice Fabrication: Bridging Research and Education


    [4.0 units]

    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.

    Prerequisite: Junior standing and (CHEM 002  or CHEM 002H ) and (PHYS 009  or PHYS 009H  or PHYS 019 ). Normal Letter Grade only. Laboratory included.


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Mathematics

  
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    MATH 005: Preparatory Calculus


    [4.0 units]

    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.

    Normal Letter Grade only. Discussion included.


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    MATH 011: Calculus I


    [4.0 units]

    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.

    Prerequisite: MATH 005  or equivalent score on the Math Placement (or equivalent) exam. For majors that do not require more than two semesters of calculus courses. Applied Mathematical Sciences, Bioengineering, Chemical Sciences, Computer Science and Engineering, Earth Systems Science, Environmental Engineering, Materials Science and Engineering, Mechanical Engineering, Physics majors cannot take this course. Course may not be taken for credit after obtaining credit for: MATH021. Normal Letter Grade only. Discussion included.


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    MATH 012: Calculus II


    [4.0 units]

    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  or MATH 024  .

    Prerequisite: MATH 011  or MATH 021 . For majors that do not require more than two semesters of calculus courses. Applied Mathematical Sciences, Bioengineering, Chemical Sciences, Computer Science and Engineering, Environmental Engineering, Materials Science and Engineering, Mechanical Engineering, Physics majors cannot take this course. Course may not be taken for credit after obtaining credit for: MATH022. Normal Letter Grade only. Discussion included.


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    MATH 015: Introduction to Scientific Data Analysis


    [2.0 units]

    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. This course is not intended for students from the School of Engineering.

    Prerequisite: MATH 005 , which may be taken concurrently, or MATH 011  or MATH 021  or equivalent score on the Math Placement (or equivalent) exam. Bioengineering, Computer Science and Engineering, Environmental Engineering, Materials Science and Engineering, Mechanical Engineering, and Undeclared Engineering majors cannot take this course. Normal Letter Grade only. Laboratory included.


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    MATH 018: Statistics for Scientific Data Analysis


    [4.0 units]

    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.

    Prerequisite: (MATH 005  or MATH 011  or MATH 021  or equivalent score on the Math Placement exam) and (MATH 015  or CSE 020  or CSE 005  or ENVE 105 ). Normal Letter Grade only. Discussion included.


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    MATH 021: Calculus I for Physical Sciences and Engineering


    [4.0 units]

    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.

    Prerequisite: MATH 005  or equivalent score on the Math Placement (or equivalent) exam. Applied Mathematical Sciences, Bioengineering, Chemical Sciences, Computer Science and Engineering, Earth Systems Science, Environmental Engineering, Materials Science and Engineering, Mechanical Engineering, Physics majors only. Course may not be taken for credit after obtaining credit for: MATH011. Normal Letter Grade only. Discussion included.


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    MATH 022: Calculus II for Physical Sciences and Engineering


    [4.0 units]

    Continuation of MATH 021 . Analytical and numerical techniques of integration with applications, infinite sequences and series, first order ordinary differential equations.

    Prerequisite: MATH 021 . Applied Mathematical Sciences, Physics, Chemical Sciences, Earth Systems Science, and School of Engineering majors only. Course may not be taken for credit after obtaining credit for: MATH012. Normal Letter Grade only. Discussion included.


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    MATH 023: Vector Calculus


    [4.0 units]

    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.

    Prerequisite: MATH 022  Normal Letter Grade only. Discussion included.


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    MATH 024: Linear Algebra and Differential Equations


    [4.0 units]

    Introduces ordinary differential equations, systems of linear equations, matrices, determinants, vector spaces, linear transformations and linear systems of differential equations.

    Prerequisite: MATH 022  Normal Letter Grade only. Discussion included.


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    MATH 032: Probability and Statistics


    [4.0 units]

    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.

    Prerequisite: MATH 023 , which may be taken concurrently. Normal Letter Grade only. Discussion included.


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    MATH 050: Beginning MATLAB Programming


    [2.0 units]

    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.

    Prerequisite: MATH 022 . Normal Letter Grade only.


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    MATH 091: General Topics in Applied Mathematics


    [1.0 unit]

    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.

    Prerequisite: MATH 023  and MATH 024 , both of which may be taken concurrently. Pass/Fail only.


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    MATH 101: Real Analysis


    [4.0 units]

    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.

    Prerequisite: MATH 023 . Normal Letter Grade only. Discussion included.


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    MATH 122: Complex variables and applications


    [4.0 units]

    Introduction to complex variables, analytic functions, contour integration and theory of residues. Mappings of the complex plane. Introduction to mathematical analysis.

    Prerequisite: MATH 023  and MATH 024 . Normal Letter Grade only. Discussion included.


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    MATH 125: Intermediate Differential Equations


    [4.0 units]

    Introduces 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.

    Prerequisite: MATH 023  and MATH 024 . Normal Letter Grade only. Discussion included.


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    MATH 126: Partial Differential Equations


    [4.0 units]

    Introduces students 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.

    Prerequisite: MATH 125 . Normal Letter Grade only. Discussion included.


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    MATH 131: Numerical Analysis I


    [4.0 units]

    Introduction to numerical methods with emphasis on algorithm construction, analysis 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.

    Prerequisite: MATH 024 . Normal Letter Grade only. Discussion included.


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    MATH 132: Numerical Analysis II


    [4.0 units]

    Initial-value problems for ordinary differential equations, interactive techniques for solving linear systems, numerical solutions of nonlinear systems of equations, boundary-value problems for ordinary differential equations, numerical solutions to partial differential equations.

    Prerequisite: MATH 125  and MATH 131 . Normal Letter Grade only. Discussion included.


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    MATH 140: Mathematical Methods for Optimization


    [3.0 units]

    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.

    Prerequisite: MATH 023 . Normal Letter Grade only. Discussion included.


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    MATH 141: Linear Analysis I


    [4.0 units]

    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.

    Prerequisite: MATH 131 , which may be taken concurrently. Normal Letter Grade only. Discussion included.


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  •  

    MATH 142: Linear Analysis II


    [4.0 units]

    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.

    Prerequisite: MATH 141 . Normal Letter Grade only. Discussion included.


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  •  

    MATH 150: Mathematical Modeling


    [4.0 units]

    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.

    Prerequisite: MATH 131  and (MATH 125  or MATH 141 ). Normal Letter Grade only. Discussion included.


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  •  

    MATH 171: Mathematical Logic


    [4.0 units]

    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.

    Prerequisite: PHIL 005  or consent of instructor. Discussion included.


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  •  

    MATH 180: Modern Applied Statistics


    [4.0 units]

    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.

    Prerequisite:   and   . Normal Letter Grade only. Laboratory included.


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  •  

    MATH 181: Stochastic Processes


    [4.0 units]

    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.

    Prerequisite: MATH 024  and MATH 032 . Normal Letter Grade only. Discussion included.


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    MATH 201: Teaching and Learning in the Sciences


    [1.0 unit]

    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.

    Satisfactory/Unsatisfactory only.


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  •  

    MATH 221: Partial-Differential Equations I


    [4.0 units]

    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.

    Prerequisite: MATH 122  or consent of instructor. Normal Letter Grade only. Discussion included.


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  •  

    MATH 222: Partial-Differential Equations II


    [4.0 units]

    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.

    Prerequisite: MATH 221  or consent of instructor. Normal Letter Grade only. Discussion included.


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  •  

    MATH 223: Asymptotics and Perturbation Methods


    [4.0 units]

    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.

    Prerequisite: MATH 221  or consent of instructor. Normal Letter Grade only. Discussion included.


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  •  

    MATH 231: Numerical Solution of Differential Equations I


    [4.0 units]

    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.

    Prerequisite: MATH 132  or consent of instructor. Normal Letter Grade only. Discussion included.


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  •  

    MATH 232: Numerical Solution of Differential Equations II


    [4.0 units]

    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.

    Prerequisite: MATH 231  or consent of instructor. Normal Letter Grade only. Discussion included.


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  •  

    MATH 233: Scientific Computing


    [4.0 units]

    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.

    Prerequisite: MATH 232  or consent of instructor. Normal Letter Grade only. Discussion included.


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  •  

    MATH 270: Academic Writing in Graduate Studies


    [2.0 units]

    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.


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  •  

    MATH 291: Applied Mathematics Seminar


    [1.0 unit]

    Seminar series covering various topics in applied mathematics presented by faculty, graduate students, and visiting speakers.

    Satisfactory/Unsatisfactory only. Course may be repeated for credit.


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  •  

    MATH 292: Special Topics in Applied Mathematics


    [1.0-4.0 units]

    Treatment of a special topic or theme in applied mathematics at the graduate level. May be repeated for credit in a different subject area.

    Course may be repeated for credit.


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  •  

    MATH 295: Graduate Research


    [1.0-12.0 units]

    Supervised research.

    Satisfactory/Unsatisfactory only. Course may be repeated for credit. Laboratory included.


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  •  

    MATH 298: Directed Group Study


    [1.0-12.0 units]

    Group project under faculty supervision.

    Course may be repeated for credit. Laboratory included.


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  •  

    MATH 399: University Teaching


    [1.0 unit]

    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.

    Satisfactory/Unsatisfactory only. Course may be repeated 1 time for credit. Discussion, Laboratory included.


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Mechanical Engineering

  
  •  

    ME 021: Engineering Computing


    [4.0 units]

    Introduction to Fortran and Matlab. Concepts of formatted input/output, data types, variables, arrays, strings, variable scopes, logic statements, loops and repetition, functions and subroutines, and data graphing. Computing examples are drawn from mechanical engineering topics including linear algebraic equations, root search, two and three-dimensional graphics. Laboratory included.

    Prerequisite: Freshman Standing. Bioengineering, Computer Science and Engineering, Environmental Engineering, Materials Science and Engineering, Mechanical Engineering majors only. Normal Letter Grade only. Laboratory included.


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  •  

    ME 120: Component Design


    [3.0 units]

    Three-dimensional stress analysis; deflection and stiffness; static an dynamic loading; failure theories and fatigue; fasteners; welded joints; mechanical springs; bearing; gears; shafts; clutches; brakes and couplings; belts and pulleys.

    Prerequisite: ENGR 151 . Normal Letter Grade only.


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  •  

    ME 135: Finite Element Analysis


    [4.0 units]

    Introduce the basic fundamentals of the finite element methods. Beginning with simple one-dimensional problem, continuing to two- and three-dimensional elements, and ending with some applications in heat transfer, solid mechanics and fluid mechanics. Covers modeling, mathematical formulation, computer implementation and engineering software.

    Prerequisite: MATH 023  and MATH 024 . Normal Letter Grade only. Laboratory included.


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  •  

    ME 136: Aerodynamics


    [4.0 units]

    Methodologies for conducting wind tunnel experiments; Navier-Stokes Equations; Scaling; Prandtl Systems and Boundary Layer Theory; Circulation; Vorticity; Drag and Lift; Airfoil Theory; Source and Vortex Panel Methods; Compressible Flows.

    Prerequisite: ENGR 120  and MATH 032 . Normal Letter Grade only. Laboratory included.


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  •  

    ME 137: Computer Aided Engineering


    [3.0 units]

    Introduction to the use of modern computational tools used for design and analysis. Primary focus will be on product design with solid modeling and finite-element analysis. Software used is representative of that found in industry. Topics such as 2-D and 3-D drawing, tolerance specification, and FEA validation are also covered.

    Prerequisite: Junior standing. Normal Letter Grade only. Offered fall only. Laboratory included.


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  •  

    ME 140: Vibration and Control


    [4.0 units]

    Dynamics of particles and rigid bodies. Vibration of discrete systems with finite degrees of freedom and continuous structures including beams and plates. Resonance, anti-resonance, damping, and modal coupling. Modal analysis. Proportional, derivative and integral feedback controls of vibrations. Stability concept. Control design by root locus and frequency domain method.

    Prerequisite: MATH 024  and ENGR 057 . Normal Letter Grade only. Offered spring only. Laboratory included.


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  •  

    ME 141: Linear Controls


    [3.0 units]

    Dynamics of Linear Systems, Concepts of Stability, Feedback Control, Root Locus Design, Frequency-Domain Analysis and Compensator Design, State-Space Representation, Controllability and Observability, Linear Observers, Matrix Methods for Control Design, Linear Quadratic Regulator (LQR) Optimal Control.

    Prerequisite: MATH 024  and ME 140 . Normal Letter Grade only.


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