MAT 236 - Calculus II

Techniques of integration, improper integrals, applications of integration, sequences and series, parametric equations, polar coordinates. Prerequisite: A grade of C- or better in MAT 135. Permission of department required for students with credit for MAT 122. Fulfills: LASR. (4 cr. hr.)
Frequency code A = offered every semester

Student Learning Outcomes
Upon successful completion of this course, students will be able to:

1. Select and use appropriate integration techniques to find antiderivatives and evaluate integrals.
2. Connect Riemann sums of volumes of cylinders to integration in order to find volumes of solids of revolution.
3. Connect Riemann sums of the distance formula to integration in order to find arc lengths and surface areas of solids of revolution.
4. Use parametric equations and polar coordinates to find antiderivatives, evaluate integrals, sketch curves, find slopes of curves, calculate arc lengths, and compute areas defined by curves.
5. Apply the concept of a limit to evaluate integrals having bounds outside the domain of the function.
6. Find the Taylor polynomial/series generated by a function.
7. Use integration strategically in mathematical modeling in the physical and social sciences.
8. Select appropriate methods to test for convergence of infinite sequences and series and evaluate the limits.