MAT 230 - Calculus & Analytic Geometry II

5 Credit(s)

Second course in sequence of three recommended for majors in mathematics, computer science, physical sciences, or engineering. Topics include transcendental functions, techniques of integration, indeterminate forms, improper integrals, infinite series, and polar curves.

Prereqs: MAT 180 with a grade of C or better or placement into MAT 230
Course Type: Lecture
Tuition Tier: Base
Delivery Method:
In-Person, Remote, Hybrid, Flex
Course Learning Outcomes:
CLO 1) Students will find derivatives and antidervatives of exponential, logarithmic, hyperbolic, and inverse trigonometric functions.
CLO 2) Students will evaluate limits using L’Hôpital’s Rule and logarithmic differentiation.
CLO 3) Students will integrate functions by using partial fraction decomposition, trigonometric substitution, and numerical methods.
CLO 4) Students will evaluate improper integrals.
CLO 5) Students will determine whether an infinite series converges absolutely, convergies conditionally, or diverges.
CLO 6) Students will determine the interval of convergence of the series.
CLO 7) Students will produce a Maclaurin or Taylor series to represent a function.
CLO 8) Students will perform operations on power series.
CLO 9) Students will graph conic sections, parametric and polar curves.
CLO 10) Students will calculate the area and arc length of parametric and polar regions.