MATH 202 - Brief Calculus II

1. Solve integration problems by the technique of integration by parts.
2. Solve various application problems involving integration.
3. Work definite integral applications.
4. Calculate the volume of a solid of revolution.
5. Use the Trapezoidal Rule for area approximation.
6. Solve certain differential equations, giving both general and particular solutions.
7. Solve applications involving differential equations.
8. Apply L’Hopital’s Rule.
   1. Determine whether an improper integral is convergent or divergent and calculate its value if it is convergent.
   2. Calculate convergence and divergence of improper integrals.
9. Solve applied problems involving improper integrals.
10. Given a probability density function find E(X), E(X), the mean, the variance, and the standard deviation.
11. Determine the partial derivatives of a given function of several variables.
12. Determine the relative maximum and minimum values of a function of two variables.
13. Use the differential of a function of two or more variables.
14. Solve applied problems involving LaGrange multipliers.
15. Determine if a series converges or diverges.
16. Find Taylor approximations.
17. Use technology as appropriate to enhance course objectives

• Differential equations
• Applications
• Differentials
• Partial derivatives
• Infinite series
• Techniques of integration

 
GRADING POLICY

Exam Requirements:

• Must be proctored
• No student-provided materials
• No open books
• No take-home

 
Course Addendum - Syllabus (Click to expand)