Review of basic algebra, functions, limits, derivatives of algebraic, exponential, logarithmic and trigonometric. Limits, derivatives, logarithmic, exponential, and trigonometric functions, inverse functions; L'Hospital's Rule, curve sketching, Mean Value Theorem, related rates, linear and quadratic approximations, maximum-minimum problems.

3 hours lecture, 2 hours recitation.

21-112
Calculus II
Fall or Spring: 10 units

Inverse functions, definite and indefinite integrals, and hyperbolic functions; applications of integration, integration by substitution and by parts. Partial derivatives and Lagrange multipliers.

3 hours lecture, 2 hours recitation.

Prerequisite: 21-111.

Notes:

This pair of courses is designed for students who want to take calculus but need a significant amount of pre-calculus material. It is primarily intended for H&SS students.

Successful completion of 21-111/112 Calculus I & II allows the student to move on to either 21-122 Integration, Differential Equations and Approximation, 21-259 Calculus in 3D, or to 21-256 Multivariate Analysis in the mathematics sequence for Business Administration and Economics students.