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  • Courseware 
    Differential Equations

    Differential Equations

    Differential Equations are the language in which the laws of nature are expressed. Understanding properties of solutions of differential equations is fundamental to much of contemporary science and engineering. Ordinary differential equations (ODE's) deal with functions of one variable, which can often be thought of as time.

    Subjects:
    Mathematics and Statistics
    Keywords:
    Differential equations
    Resource Type:
    Courseware
     
  • Courseware 
    Calculus with Theory

    Calculus with Theory

    The course is taught using the textbook by T. Apostol, "Calculus" Vol. I Second Edition (1967) and the additional course notes by James Raymond Munkres, Professor of Mathematics, Emeritus.

    Subjects:
    Mathematics and Statistics
    Keywords:
    Mathematical analysis Calculus
    Resource Type:
    Courseware
     
  • Courseware 
    Linear Algebra

    Linear Algebra

    This course offers a rigorous treatment of linear algebra, including vector spaces, systems of linear equations, bases, linear independence, matrices, determinants, eigenvalues, inner products, quadratic forms, and canonical forms of matrices.

    Subjects:
    Mathematics and Statistics
    Keywords:
    Algebras Linear
    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:
    Mathematics and Statistics and Economics
    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:
    Trigonometry Precalculus 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