MAT-2420 Calculus II

Credits: 4
This course is the second course in a three-semester sequence of university level calculus for a variety of majors including but not limited to engineering, mathematics, and science. Students study integration techniques for single variable functions. They also learn applications of integration including but not limited to finding length of plane curves and areas in Cartesian and polar coordinates, volumes, and work. Additionally, students learn to evaluate improper integrals. Finally, they study infinite series including Taylor series and their applications.

Prerequisite(s): Determined by placement methods or completion of MAT-2410 with a grade of C or higher.

Course Outcomes

Integrate elementary functions such as polynomials, rational functions, trigonometric functions and their inverses, logarithmic and exponential functions, and hyperbolic functions.
Apply definite integrals to solve applications problems such as length of plane curves and areas in Cartesian and polar coordinates, volumes, and work.
Use techniques of integration such as integration by parts, partial fractions, trigonometric substitutions.
Evaluate improper integrals with infinite integrands or infinite intervals of integration.
Analyze infinite numerical sequences and series, and power series.
Solve applicational problems using Taylor series.