Alignment with departmental program outcomes is indicated in parentheses. Upon completion of the course, students will be able to do the following:
1. Evaluate integrals using integration by parts, trigonometric substitutions, partial fractions, and miscellaneous substitutions.
2. Evaluate integrals involving powers of trigonometric functions.
3. Approximate integrals using the Trapezoidal Rule and Simpson’s Rule.
4. Recognize various indeterminate forms and evaluate limits using L’Hopital’s Rule.
5. Evaluate integrals involving infinite limits and unbounded functions.
6. Plot graphs and calculate areas using polar coordinates.
7. Sketch curves given in parametric form and calculate their arc length.
8. Solve problems of analytic geometry in 2 and 3 dimensions using algebraic and geometric properties of vectors.9. Graph, differentiate, and integrate vector-valued functions of a real parameter and apply these methods to problems involving velocity and acceleration.