MATH& 152 Calculus II

Course content includes the Fundamental Theorem of Calculus, definite and indefinite integrals, methods of integration, applications of integration, and improper integrals. The course also includes an introduction to first order differential equations, antiderivatives, definite and indefinite integrals, and methods of integration.

Credits

5

Prerequisite

MATH& 151

Distribution

General Education

Outcomes

1. Solve Applications of Integration
2. Calculate antiderivatives, areas and distances, and the definite integral
3. Solve and evaluate functions using The Fundamental Theorem of Calculus
4. Solve and evaluate indefinite integrals
5. Compute the average value of a function
6. Integrate trigonometric functions
7. Solve equations using numerical integration and approximation of integrals
8. Evaluate improper integrals
9. Integrate by parts
10. Calculate the length of a curve, the area between curves, the volume of washers and shells, and center of mass
11. Use problem solving skills, pattern recognition, substitution, structural rules, and quantitative modeling to solve problems involving integral calculus
12. Oral interpretation of problems.
13. Writing concise solution papers to mathematical exercises and problems
14. Explore problems from real-world situations by developing models