Honors version of 1B. Continuation of 1A. Techniques of integration; applications of integration. Infinite sequences and series. First-order ordinary differential equations. Second-order ordinary differential equations; oscillation and damping; series solutions of ordinary differential equations.

Honors version of 1B. Continuation of 1A. Techniques of integration; applications of integration. Infinite sequences and series. First-order ordinary differential equations. Second-order ordinary differential equations; oscillation and damping; series solutions of ordinary differential equations.

Honors course corresponding to 1A-1B for able students with strong mathematical inclination and motivation. Emphasis on theory, rigor, and hard problems. Recommended as preparation for the major, particularly for honors candidates.

Honors course corresponding to 1A-1B for able students with strong mathematical inclination and motivation. Emphasis on theory, rigor, and hard problems. Recommended as preparation for the major, particularly for honors candidates.

Honors course corresponding to 1A-1B for able students with strong mathematical inclination and motivation. Emphasis in theory, rigor, and hard problems. Recommended as preparation for the major, particularly for honors candidates.

Continuation of 16A. Application of integration of economics and life sciences. Differential equations. Functions of many variables. Partial derivatives, constrained and unconstrained optimization.

Continuation of 16A. Application of integration of economics and life sciences. Differential equations. Functions of many variables. Partial derivatives, constrained and unconstrained optimization.

Continuation of 16A. Application of integration of economics and life sciences. Differential equations. Functions of many variables. Partial derivatives, constrained and unconstrained optimization.

Continuation of 16A. Introduction to integration, properties of sin and cos, fundamental theorem of calculus, properties of the integral, integration by substitution and by parts, volumes of solids of revolution and arc lengths.

16B: Continuation of 16A. Introduction to integration, basic properties of sin and cos, fundamental theorem of calculus, properties of the integral, integration by substitution and by parts, volumes of solids of revolution and arc lengths.