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