MATH& 153: Calculus III

Class Program
Weekly Contact Hours
Course ID
Meets Degree Requirements For
Natural Science,
Quantitative Skills

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

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

Course Learning Outcomes

Core Topics



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