MATH& 153 - Calculus III
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
Students who successfully complete this class will be able to:
- Find limits of sequences.
- Apply basic convergence tests for series.
- Find or approximate the sums of convergent series.
- Represent functions as power series.
- Use Taylor polynomials to approximate functions.
- Apply dot and cross products to applications involving geometry and science.
- Write equations of lines and planes using vectors.
- Recognize basic three dimensional surfaces such as paraboloids, hyperboloids, and ellipsoids.
- Determine domain and limits for vector-valued functions.
- Compute and apply the derivative and antiderivative of a vector function.
Recognize which quantitative or symbolic reasoning methods are appropriate for solving a given problem.
Correctly implement the quantitative or symbolic reasoning methods that are appropriate for solving a given problem.
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.
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