Syllabus

Course Information

Course Number: MAT 1575

Section Number: D530

Course Title: Calculus II

Course Outline: Official course outline prepared by the Mathematics Department.

Course Description: A continuation of MAT 1475. Topics include Taylor polynomials, Mean Value Theorem, Taylor and Maclaurin series, tests of convergence, techniques of integration, improper integrals, areas, volumes and arclength.

Credits / Hours: 4

Prerequisites: MAT 1475

Textbook: The textbooks are available to download for free (pdf), view online, or print copies are available for a small fee.

• Calculus Volume 1, OpenStax.org, E. Herman and G. Strang, Rice University, Houston Texas USA 2017. (click here to obtain textbook)
• Calculus Volume 2, OpenStax.org, E. Herman and G. Strang, Rice University, Houston Texas USA 2017 (click here to obtain textbook)

Faculty Information

Professor Name:

• Suman Ganguli

Contact Information

• Email: sganguli [at] citytech.cuny.edu

Learning Outcomes

1. Find anti-derivatives using integration by parts, trigonometric substitution, and the technique of partial fractions.
2. Apply knowledge of integration to calculate volumes of solids of revolution, areas, and arc lengths.
3. Evaluate improper integrals.
4. Find Taylor polynomials and use Taylor’s Theorem to estimate error.
5. Construct infinite series and test for their convergence and divergence.

Gen Ed Learning Outcomes

Students will be able to:

1. Understand and employ both quantitative and qualitative analysis to solve problems.
2. Employ scientific reasoning and logical thinking.
3. Communicate effectively using written and oral means.
4. Use creativity to solve problems.

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