Liberal Arts > Mathematics

## I. Catalog Course Description

Prerequisites: MATH181 or equivalent or consent of instructor

Teaches transcendental functions, methods of integration, conics, vectors.

### II. Course Objectives and Linkage to General Education Program

The information in the parentheses after a course objective refers to the specific general education (GE) learning outcome that the objective meets. Objectives without this information are not linked to WNC’s general education program.

Students who pass this course must demonstrate they can:

• Evaluate indefinite and definite integrals using trigonometric substitution, partial fractions, and power series. (GE 3)
• Apply integration to find arc length, surface area, and volume. (GE 1)
• Apply integration to calculate work, fluid force, centroid, and center of mass. (GE 6)
• Evaluate limits using L’Hôpital’s rule, and evaluate improper integrals. (GE 1)
• Test series (including power series) for convergence, and determine the interval of convergence of a power series. (GE 3)
• Determine Taylor polynomials and Taylor series of a given function. (GE 1)
• Apply the techniques of differential and integral calculus to curves in polar coordinates and parametric curves. (GE 3)

### III. Topics

Limits, differentiation of elementary functions (including implicit differentiation), curve sketching, related rates, optimization, Newton’s method, integration (including substitution).