Lower-Division

AM 3 Precalculus for the Social Sciences

Introduces mathematical functions and their uses for modeling real-life problems in the social sciences. Includes inequalities, linear and quadratic equations, functions (linear, quadratic, polynomial, rational, power, exponential, logarithmic, trigonometric), inverses, and the composition of functions. Students cannot receive credit for both this course and MATH 3. MATH 3 can substitute for this course. (Formerly Applied Mathematics and Statistics 3.)

Credits

5

Requirements

Prerequisite(s): score of 200 or higher on the mathematics placement examination (MPE), or MATH 2.

MF

AM 6 Precalculus for Statistics

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. (Formerly AMS 6.)

Credits

5

Requirements

Prerequisite(s): MATH 2 or mathematics placement examination (MPE) score of 200 or higher or higher.

MF

AM 10 Mathematical Methods for Engineers I

Applications-oriented course on complex numbers and linear algebra integrating Matlab as a computational support tool. Introduction to complex algebra. Vectors, bases and transformations, matrix algebra, solutions of linear systems, inverses and determinants, eigenvalues and eigenvectors, and geometric transformations. Students cannot receive credit for this course and MATH 21.

Credits

5

Requirements

Prerequisite(s): score of 400 or higher on the mathematics placement examination (MPE) or MATH 3.

MF

AM 11A Mathematical Methods for Economists I

Introduction to mathematical tools and reasoning, with applications to economics. Topics are drawn from differential calculus in one variable and include limits, continuity, differentiation, elasticity, Taylor polynomials, and optimization. Students cannot receive credit for both this course and MATH 11A or MATH 19A or AM 15A. (AM 11A formerly AMS 11A.)

Credits

5

ECON 11A

Requirements

Students who have already taken MATH 11A or MATH 19A should not take this course. Prerequisite(s): score of 300 or higher on the mathematics placement examination (MPE), AM 3 or AM 6, or MATH 3.

MF

AM 11B Mathematical Methods for Economists II

Mathematical tools and reasoning, with applications to economics. Topics are drawn from multivariable differential calculus and single variable integral calculus, and include partial derivatives, linear and quadratic approximation, optimization with and without constraints, Lagrange multipliers, definite and indefinite integrals, and elementary differential equations. Students cannot receive credit for both this course and MATH 11B or MATH 19B or AM 15B. (AM 11B formerly AMS 11B.)

Credits

5

ECON 11B

Requirements

Prerequisite(s): AM 11A, or ECON 11A, or MATH 11A, or MATH 19A.

MF

AM 20 Mathematical Methods for Engineers II

Applications-oriented class on ordinary differential equations (ODEs) and systems of ODEs using Matlab as a computational support tool. Covers 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 MATH 24.

Credits

5

Requirements

Prerequisite(s): MATH 19B or MATH 20B, and AM 10 or MATH 21.

MF

AM 30 Multivariate Calculus for Engineers

Advanced multivariate calculus for engineering majors. Coordinate systems, parametric curves, and surfaces; partial derivatives, gradient, Taylor expansion, stationary points, constrained optimization; integrals in multiple dimensions; integrals over curves and surfaces. Applications to engineering form an integral part of the course. Students cannot receive credit for this course and for MATH 22 or MATH 23A.

Credits

5

Requirements

Prerequisite(s): AM 10 or MATH 21; MATH 19B or MATH 20B.