200

Calculus is the precise and quantitative study of change. This course explores the notions of an instantaneous rate of change and accumulation of infinitesimally small quantities. This course emphasizes conceptual understanding, not just computational fluency, and students will reason about the concepts in applied, numerical, graphical, algebraic/analytic, and verbal contexts. Topics include functions and limits, and derivatives.

This course continues the learning from MTH 211. Topics include limits and continuity, derivatives of algebraic and trigonometric functions, chain, rule, applications (such as extreme problems, related rates, graphing), and anti-derivatives.

This course continues the learning from MTH 212. Topics include calculus of the exponential, logarithmic, and trigonometric functions, techniques of integration, applications (such as area, volume, work, force), improper integrals, infinite series, power series, conics, parametric equations, polar, cylindrical and spherical coordinates. Graphing calculator required.

In this course students apply the concepts of Calculus to functions that live in 3 or more dimensions. This will require an understanding of vectors and parametrically defined functions. Topics include partial derivatives, nested integrals, vector analysis and extension of the Fundamental Theorem of Calculus. Pre-requisite(s): MATH 215 or equivalent. Co-requisite(s): None. 5 quarter hours