MTH 242 Elementary Calculus 2

Integral calculus (without Trigonometry) for business and social sciences. Integration and applications for single variable functions, techniques of integration, partial differentiation methods for multivariate functions and their relative extrema.

Credits

4

Prerequisite

MTH 241 with a C- or better within the past two years

Course Learning Outcomes

Upon successful completion of this course, the student will be able to:

1. Find antiderivatives of single variable functions

2. Find indefinite integrals for functions combining polynomial, exponential, and logarithmic functions

3. Calculate definite integrals for polynomial, logarithmic, exponential functions
4. Apply integration techniques to find areas under and between curves

5. Apply integration techniques to find net changes of continuous functions

6. Find the average value of a function with integration

7. Find partial derivatives of functions of several variables

8. Find relative extrema for two variable functions
9. Find points for 3 D functions
10. Apply technique of Lagrange multipliers to maximize or minimize a function of several variables with a constraint
11. Apply the Hessian method to optimize functions of two variables
12. Use multiple integrals to evaluate volumes over rectangular areas and average values of functions of two variables