MATH& 153 - Calculus III

Credits: 5
The third course of a four-quarter calculus sequence. Introduces students to sequences, series, and higher-dimensional space. Topics include convergence tests; vectors; analytic geometry; vector-valued functions. Graphing calculator required.

Prerequisite: MATH& 152  with a grade of 2.0 or higher; or appropriate math placement.

Satisfies Requirement: Natural Science and Quantitative Skills

Course Outcomes:
Students who successfully complete this class will be able to:

1. Find limits of sequences.
2. Apply basic convergence tests for series.
3. Find or approximate the sums of convergent series.
4. Represent functions as power series.
5. Use Taylor polynomials to approximate functions.
6. Apply dot and cross products to applications involving geometry and science.
7. Write equations of lines and planes using vectors.
8. Recognize basic three dimensional surfaces such as paraboloids, hyperboloids, and ellipsoids.
9. Determine domain and limits for vector-valued functions.
10. Compute and apply the derivative and antiderivative of a vector function.

 
Program Outcomes

1. Recognize which quantitative or symbolic reasoning methods are appropriate for solving a given problem.

2. Correctly implement the quantitative or symbolic reasoning methods that are appropriate for solving a given problem.

3. Translate data into various formats such as symbolic language, equations, graphs, and formulas.

• Quantitative and Symbolic Reasoning - Quantitative Reasoning encompasses abilities necessary for a student to become literate in today’s technological world. Quantitative reasoning begins with basic skills and extends to problem solving.