Description

Calculus of parametric and polar functions. Vector operations, calculus of vector-valued functions, analysis of motion in three dimensions. Sequences, series, Taylor polynomials, and Power Series.

Grading Basis

Graded

Prerequisites

MATH& 152 with a grade of "C" (2.0) or better or appropriate placement score

### Course Learning Outcomes

### Core Topics

- Differential and integral calculus of parametric and polar functions
- Understanding sequences and determining their limits
- Understanding infinite series and testing for convergence
- Using Taylor Series to represent functions
- Differentiation, integration, and algebra of functions defined by power series
- Vectors and vector operations in 3-d
- Calculus of vector-valued functions: arclength, TNB frames, curvature, motion in 3-d
- (Optional) Error analysis of Taylor polynomials and power series