MATH& 152 - Calculus II

Credits: 5
The second course of a four-quarter calculus sequence. Introduces students to integral calculus and related applications. Topics include antiderivatives of algebraic and transcendental functions, the Fundamental Theorem of Calculus, techniques of integration, areas, volumes, moments and centers of mass, numerical methods. Graphing calculator required.

Prerequisite: MATH& 151  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. Use Riemann sums to find areas and define an integral.
2. Apply the Fundamental Theorem of Calculus.
3. Find antiderivatives using a variety of techniques including substitution, tables, integration by parts and partial fractions.
4. Approximate definite integrals using numerical techniques, such as the trapezoid rule, Simpson’s method, calculator/computer programs, and geometry.
5. Apply integration techniques to solve problems involving areas, volumes, arc length, centroids, average value, and introductory differential equations.
6. Find limits using l’Hopital’s rule.
7. Evaluate improper integrals.

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.