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  • Courseware 
    Physics 20B: Cosmology

    Physics 20B: Cosmology

    Cook's Tour of the universe. Ancient world models. Evidence for universal expansion; the size and age of the universe and how it all began. The long-range future and how to decide the right model. Anthropic principle. Course may be offered online.

    Subjects:
    Physics and Cosmology and Astronomy
    Keywords:
    Cosmology
    Resource Type:
    Courseware
     
  • Courseware 
    Mechanical and Aerospace Engineering 165: Advanced Manufacturing Choices

    Mechanical and Aerospace Engineering 165: Advanced Manufacturing Choices

    Manufacturing processes can be organized by considering the type of energy required to shape the work-piece. In this course, sources of energy considered for machining are mechanical used for cutting and shaping, heat energy such as in laser cutting, photochemical such as in photolithography, and chemical energy such as in electro chemical machining and chemical vapor deposition (CVD). Students, guided by product specifications and a design will decide: 1) When to apply mechanical machining vs. lithography based machining, 2) What type of mechanical machining and what type of lithography based machining to apply, 3) When to employ bottom-up vs. top-down manufacturing, 4) When to choose serial, batch or continuous manufacturing and 5) What rapid prototyping method to select. A logical decision tree will be presented to sort the machining options. Examples from a variety of products ranging in size from nanometers to centimeters will be considered.

    Subjects:
    Mechanical Engineering
    Keywords:
    Manufacturing processes Machining
    Resource Type:
    Courseware
     
  • Courseware 
    Mechanical and Aerospace Engineering 10: Introduction to Engineering Computations

    Mechanical and Aerospace Engineering 10: Introduction to Engineering Computations

    This course helps students develop computational programming skills and gain experience with computational tools to be used in the solution of engineering problems. Topics include: Introduction to Computing, Basic Matlab commands, Arrays: one-dimensional and multi-dimensional, Flow control, Selective execution, Repetitive execution and iterations, Input and Output, Modular Programming: Functions, Plotting, and Advanced data types.

    Subjects:
    Aeronautical and Aviation Engineering and Mechanical Engineering
    Keywords:
    Engineering mathematics -- Data processing Engineering -- Data processing Computer programming
    Resource Type:
    Courseware
     
  • Courseware 
    Math 4: Math for Economists

    Math 4: Math for Economists

    In this course, students will learn basic linear algebra necessary to understand the operations regarding derivatives of functions with more than one variable to investigate maximum and minimum values of those functions with economics applications in mind. Students will also see how to solve linear systems and then how to turn them into problems involving matrices, then learn some of the important properties of matrices. This course will focus on topics in linear algebra and multivariable differential calculus suitable for economic applications. Recorded Summer 2013

    Subjects:
    economic applications, matrices, Economics, and Mathematics and Statistics
    Keywords:
    Economics Mathematical
    Resource Type:
    Courseware
     
  • Courseware 
    Math 2B: Calculus

    Math 2B: Calculus

    Math 2B is the second quarter of Single-Variable Calculus and covers the following topics: Definite integrals; the fundamental theorem of calculus. Applications of integration including finding areas and volumes. Techniques of integration. Infinite sequences and series. Parametric and polar equations.

    Subjects:
    Mathematics and Statistics
    Keywords:
    Calculus
    Resource Type:
    Courseware
     
  • Courseware 
    Math 2A: Calculus I

    Math 2A: Calculus I

    UCI Math 2A is the first quarter in Single-Variable Calculus and covers the following topics: Introduction to derivatives, calculation of derivatives of algebraic and trigonometric functions; applications including curve sketching, related rates, and optimization. Exponential and logarithm functions.

    Subjects:
    Mathematics and Statistics
    Keywords:
    Calculus
    Resource Type:
    Courseware
     
  • Courseware 
    Math 1A/1B: Pre-Calculus

    Math 1A/1B: Pre-Calculus

    This Pre-Calculus course is designed to prepare students for a calculus course. This course is taught so that students will acquire a solid foundation in algebra and trigonometry. The course concentrates on the various functions that are important to the study of the calculus.

    Subjects:
    Mathematics and Statistics
    Keywords:
    Precalculus Trigonometry Algebra
    Resource Type:
    Courseware
     
  • Courseware 
    Math 176: Math of Finance

    Math 176: Math of Finance

    After reviewing tools from probability, statistics, and elementary differential and partial differential equations, concepts such as hedging, arbitrage, Puts, Calls, the design of portfolios, the derivation and solution of the Blac-Scholes, and other equations are discussed.

    Subjects:
    Finance and Mathematics and Statistics
    Keywords:
    Business mathematics
    Resource Type:
    Courseware
     
  • Courseware 
    Math 131B: Introduction to Probability and Statistics

    Math 131B: Introduction to Probability and Statistics

    Second introductory course covering basic principles of probability and statistical inference. Topics: Point estimation, interval estimating, and testing hypotheses, Bayesian approaches to inference.

    Subjects:
    Mathematics and Statistics
    Keywords:
    Probabilities Mathematical statistics
    Resource Type:
    Courseware
     
  • Courseware 
    Math 131A: Introduction to Probability and Statistics

    Math 131A: Introduction to Probability and Statistics

    Introductory course covering basic principles of probability and statistical inference. Topics covered in this course: Axiomatic definition of probability, random variables, probability distributions, expectation.

    Subjects:
    Mathematics and Statistics
    Keywords:
    Probabilities Mathematical statistics
    Resource Type:
    Courseware