# 1 - 10 of 230 results for: MATH

## MATH 15:Overview of Mathematics

Broad survey of mathematics; its nature and role in society.
Terms: not given this year | Units: 3 | UG Reqs: GER:DB-Math | Grading: Letter or Credit/No Credit

## MATH 16:Mathematics and Statistics in the Real World (STATS 90)

This is an introductory quantitative literacy course, that offers an introduction to the mathematics (outside of calculus) used in real-world problems. Topics include: (a) Exponential functions, compound interest, population growth. (b) Geometric series, applications to mortgage payments, amortization of loans, present value of money, drug doses and blood levels. (c) First-order approximation, estimating areas and volumes. (d) Basic probability: Bayes's rule, false positives in disease detection and drug testing. (e) Basic descriptive statistics: mean, median, standard deviation f) Least squares and linear regression.
Terms: not given this year | Units: 3 | Grading: Letter or Credit/No Credit

## MATH 19:Calculus

Introduction to differential calculus of functions of one variable. Topics: review of elementary functions including exponentials and logarithms, limits, rates of change, the derivative, and applications. Math 19, 20, and 21 cover the same material as Math 41 and 42, but in three quarters rather than two. Prerequisites: precalculus, including trigonometry, advanced algebra, and analysis of elementary functions.
Terms: Aut, Win, Sum | Units: 3 | UG Reqs: GER:DB-Math, WAY-FR | Grading: Letter or Credit/No Credit

## MATH 20:Calculus

Continuation of 19. Applications of differential calculus; introduction to integral calculus of functions of one variable, including: the definite integral, methods of symbolic and numerical integration, applications of the definite integral. Prerequisites: 19 or equivalent.
Terms: Win, Spr | Units: 3 | UG Reqs: GER:DB-Math, WAY-FR | Grading: Letter or Credit/No Credit

## MATH 21:Calculus

Continuation of 20. Applications of integral calculus, introduction to differential equations, infinite series. Prerequisite: 20 or equivalent.
Terms: Spr | Units: 4 | UG Reqs: GER:DB-Math, WAY-FR | Grading: Letter or Credit/No Credit

## MATH 41:Calculus (accelerated)

Introduction to differential and integral calculus of functions of one variable. Topics: limits, rates of change, the derivative and applications, introduction to the definite integral and integration. Math 41 and 42 cover the same material as Math 19-20-21, but in two quarters rather than three. Prerequisites: trigonometry, advanced algebra, and analysis of elementary functions, including exponentials and logarithms.
Terms: Aut | Units: 5 | UG Reqs: GER:DB-Math, WAY-FR | Grading: Letter or Credit/No Credit
Instructors: Buciumas, V. (PI) ; Ho, K. (PI) ; Jafarov, J. (PI) ; Lucianovic, M. (PI) ; Buciumas, V. (TA) ; Madnick, J. (TA) ; Musat, A. (TA)

## MATH 41A:Calculus ACE

Students attend MATH 41 lectures with different recitation sessions, four hours instead of two, emphasizing engineering applications. Prerequisite: application; see http://soe.stanford.edu/edp/programs/ace.html.
Terms: Aut | Units: 6 | UG Reqs: GER:DB-Math | Grading: Letter (ABCD/NP)

## MATH 42:Calculus (Accelerated)

Continuation of 41. Methods of symbolic and numerical integration, applications of the definite integral, introduction to differential equations, infinite series. Prerequisite: 41 or equivalent.
Terms: Aut, Win | Units: 5 | UG Reqs: GER:DB-Math, WAY-FR | Grading: Letter or Credit/No Credit
Instructors: Berwick-Evans, D. (PI) ; Li, Z. (PI) ; Lucianovic, M. (PI) ; Shabani, B. (TA) ; Shao, F. (TA)

## MATH 42A:Calculus ACE

Students attend MATH 42 lectures with different recitation sessions, four hours instead of two, emphasizing engineering applications. Prerequisite: application; see http://soe.stanford.edu/edp/programs/ace.html.
Terms: Aut, Win | Units: 6 | UG Reqs: GER:DB-Math | Grading: Letter (ABCD/NP)
Instructors: Berwick-Evans, D. (PI) ; Jerison, D. (PI) ; Lucianovic, M. (PI) ; Ahuja, S. (TA)

## MATH 51:Linear Algebra and Differential Calculus of Several Variables

Geometry and algebra of vectors, systems of linear equations, matrices and linear transformations, diagonalization and eigenvectors, vector valued functions and functions of several variables, parametric curves, partial derivatives and gradients, the derivative as a matrix, chain rule in several variables, constrained and unconstrained optimization. Prerequisite: 21, or 42, or a score of 4 on the BC Advanced Placement exam or 5 on the AB Advanced Placement exam, or consent of instructor.
Terms: Aut, Win, Spr, Sum | Units: 5 | UG Reqs: GER:DB-Math, WAY-FR | Grading: Letter or Credit/No Credit
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