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.)
Instructor
Marcella Gomez, Bruno Mendes, Pascale Garaud
General Education Code
MF
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.)
Instructor
The Staff, Bruno Mendes
General Education Code
MF
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 for AM 10A or
MATH 21. (Formerly AMS 10.)
Instructor
The Staff, Hongyun Wang, Bruno Mendes, Yonathan Katznelson, Nicholas Brummell, Qi Gong, Daniele Venturi, Marcella Gomez
General Education Code
MF
Quarter offered
Fall, Winter, Spring
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.)
Cross Listed Courses
ECON 11A
Instructor
Bruno Mendes, Yonatan Katznelson
General Education Code
MF
Quarter offered
Fall, Winter, Spring
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.)
Cross Listed Courses
ECON 11B
Instructor
Bruno Mendes, Yonatan Katznelson, Bruno The Staff
General Education Code
MF
Quarter offered
Fall, Winter, Spring
Case-study-based, first-quarter introduction to single-variable calculus, with computing labs/discussion sections featuring contemporary symbolic, numerical, and graphical computing tools. Case studies drawn from biology, environmental sciences, health sciences, and psychology. Includes functions, mathematical modeling, limits, continuity, tangents, velocity, derivatives, the chain rule, implicit differentiation, higher derivatives, exponential and logarithmic functions and their derivatives, differentiating inverse functions, the mean value theorem, concavity, inflection points, function optimization, and curve-sketching. Students cannot receive credit for this course and
AM 11A or ECON 11A or
MATH 11A or
MATH 19A. (Formerly AMS 15A.)
Instructor
The Staff, Bruno Mendes, Pascale Garaud
General Education Code
MF
Case-study based, second-quarter introduction to single-variable calculus, with computing labs/discussion sections featuring symbolic numerical, and graphical computing tools. Case studies are drawn from biology, environmental science, health science, and psychology. Includes indefinite and definite integrals of functions of a single variable; the fundamental theorem of calculus; integration by parts and other techniques for evaluating integrals; infinite series; Taylor series, polynomial approximations. Students cannot receive credit for this course and
AM 11B or ECON 11B or
MATH 11B or
MATH 19B. (Formerly AMS 15B.)
Instructor
The Staff, Bruno Mendes, Pascale Garaud
General Education Code
MF
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 for AM 20A or
MATH 24. (Formerly AMS 20.)
Instructor
The Staff, Yonathan Katznelson, Qi Gong, Dongwook Lee, Abhishek Halder
General Education Code
MF
Quarter offered
Winter, Spring
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.
Instructor
Qi Gong, Yonathan Katznelson, Pascale Garaud
Quarter offered
Fall, Spring