Course Essentials

Prerequisite

Completion of Math 150 (Math C2210), or Math 150H (Math C2210H, Math C2210E), with a grade of “C” or better, or an approved equivalent.

Math C2220 Course Student Learning Outcome

For a given set of calculus problems involving methods of integration, properties of sequences and series, or parametric forms, the student will demonstrate quantitative reasoning by applying a problem-solving strategy in which they perform appropriate analysis and computation and critically assess the meaning of the conclusion or outcome.

Core Competencies

Intellectual and practical skills, including quantitative literacy and problem solving, will be practiced extensively across the curriculum in the context of progressively more challenging problems, projects, and standards for performance.

Performance Objectives

Objectives/Outcomes (Identical and Required):

1. Apply integration to find areas and volumes.

2. Evaluate definite and indefinite integrals using a variety of integration formulas and techniques.

3. Use integration to solve applications such as work or length of a curve.

4. Evaluate improper integrals.

5. Determine convergence of sequences and series.

6. Represent functions as power series.

7. Graph, differentiate, and integrate functions in polar and parametric form.

Upon successful completion of this course, students will be able to do the following:

1). Use integration for area and volume.

2). Determine an appropriate integration technique and use it to evaluate a given integral.

3). Determine the convergence or divergence of a given infinite series.

4). Find a power series representation for a given function and determine its interval of convergence.

5). Find the derivative of a power series and find the indefinite integral of a power series.

6). Use a power series representation of a function to obtain an approximation either for the function at a

given value or of the definite integral of the function.

7). Sketch graphs of parametric and polar equations.

8). Find derivatives when x and y are functions of a parameter.

9). Find arc length of a curve when its equation is given in parametric form.

10). Find area and arc length when equations are given in polar form.

11). Graph the conic sections and find the equation for a given conic section having been given adequate information about the graph.