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Course Criteria
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1.25 Credits
Mathematical tools and reasoning, with applications to Economics 2. Topics are drawn from integral calculus and multivariable calculus, including indefinite and definite integrals, separate differential equations, partial derivatives, total differentials, optimization in several variables, and Lagrange multiplier. (Also offered as Economics 11B. Students cannot receive credit for both courses.) Prerequisite(s): course 11A , Economics 11A, Mathema-thics 11A, or Mathematics 19A. (General Education Code(s): IN, Q.) J. Katznelson
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1.25 Credits
Introduction to probability theory and its applications. Combinatorial analysis, axioms of probability and independence, random variables (discrete and continuous), joint probability distributions, properties of expectation, Central Limit Theorem, Law of Large Numbers, Markov chains. Students cannot receive credit for this course and Computer Engineering 107. Prerequisite(s): course 11B or Economics 11B or Mathematics 11B or 19B. (General Education Code(s): Q.) R. Prado, M. Mangel, A. Kottas
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1.25 Credits
Introduction to statistical inference at a calculus-based level: maximum likelihood estimation, sufficient statistics, distributions of estimators, confidence intervals, hypothesis testing, and Bayesian inference. Prerequisite(s): course 131 or Computer Engineering 107. A. RodrÃguez, The Staff
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1.25 Credits
Applications of computational methods to solving mathematical problems using MATLAB. Solution of nonlinear equations, linear systems, differential equations, sparse matrix solver, and eigenvalue problems. Prerequisite(s): course 27 or 10 or 10A, or Mathematics 21. Knowledge of differential equations is recommended (course 20 or 20A, or Mathematics 24). H. Wang
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1.25 Credits
Methods for the design and analysis of computer simulation experiments: random number generation; estimation of sample size necessary to achieve desired precision goals; antithetic variables and other devices for increasing simulation efficiency; analysis of the output of large "deterministic" computer programs, exploring the sensitivity of outputs to changes in the inputs. Applications drawn mainly from engineering and environmental sciences. Prerequisite(s): course 5 or 7 or 113 or 131 or Computer Engineering 107 or permission of instructor. (General Education Code(s): Q.) H. Lee, The Staff
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1.25 Credits
Students submit petition to sponsoring agency. May be repeated for credit. The Staff
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2.00 Credits
Students submit petition to sponsoring agency. May be repeated for credit. The Staff
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1.25 Credits
Reviews and introduces mathematical methods useful in the elementary study of statistics, including logic, real numbers, inequalities, linear and quadratic equations, functions, graphs, exponential and logarithmic functions, and summation notation. Prerequisite(s): Mathematics 2 or placement exam score of 20 or higher. (General Education Code(s): Q.) B. Mendes, The Staff
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1.25 Credits
Applications-oriented class on ordinary differential equations (ODEs) and systems of ODEs using MATLAB as a computational support tool. Linear ODEs and systems of linear ODEs. Nonlinear ODEs using substitution and Laplace transforms. Phase-plane analysis. Introduction to numerical methods. Students cannot receive credit for this course and for courses 20A or 27L or Mathematics 24. Prerequisite(s): Mathematics 19B, and course 10 or 10A or Mathematics 21. Q. Gong, The Staff
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3.00 Credits
Applications-oriented class on ordinary differential equations (ODEs) and systems of ODEs integrating MAT-LAB as a computational support tool. Linear ODEs and systems of linear ODEs. Nonlinear ODEs using substitution and Laplace transforms. Students cannot receive credit this course and for courses 20 or 27L or Mathematics 24. Prerequisite(s): Mathematics 19B, and course 10 or 10A or Mathematics 21. Q. Gong, The Staff
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