Institution
Requirement
Status
Approved
Date Reviewed
Math 1B - Calculus
Description
Introduction to integral calculus, including definite and indefinite integrals, the first and second fundamental theorems and their applications to geometry, physics, and the solution of elementary differential equations.
Course Objectives
The student will be able to:
- Define the antiderivative and determine antiderivatives of simple functions.
- Demonstrate an understanding of and evaluate and approximate definite integrals.
- Find antiderivatives graphically and analytically.
- Use the first and second fundamental theorems of calculus to evaluate definite integrals and construct antiderivatives.
- Evaluate a definite integral as a limit.
- Apply integration to find area.
- Evaluate definite and indefinite integrals using a variety of integration formulas and techniques.
- Apply integration to areas and volumes, and other applications such as work or length of a curve.
- Evaluate improper integrals.
- Graph and differentiate functions in polar and parametric form.
- Graph and integrate functions in polar and parametric forms.
- Solve and interpret solutions to elementary differential equations.
- Use technology, such as graphing calculators and/or computer software to assist in solving problems involving any of the topics in (1) through (12) above.
- Discuss mathematical problems and write solutions in accurate mathematical language and notation.
- Interpret mathematical solutions.