MATH 2411 - Calculus II

7.5 Credits

This course includes finding derivatives and integrating logarithmic, exponential, inverse trigonometric and hyperbolic functions. This course includes using a variety of techniques of integration to evaluate definite, indefinite, and improper integrals. It also includes applications of integration. This course includes the study of convergence/divergence tests for sequences and series. This course covers polar coordinates and relates them to calculus.

Prerequisites: (1) Within two years, successful completion of MATH 2410 with a grade of C or higher

Lecture Hours: 7.5
Lab Hours: 0.0
Internship Hours: 0.0
Clinical or Practicum Hours: 0.0

Course Objectives

Differentiate and integrate logarithmic, exponential, trigonometric, inverse trigonometric and hyperbolic functions.
Demonstrate the evaluation of limits of indeterminate forms using L’Hopital’s rule.
Solve application problems using integration to find: areas between curves; volumes of revolved functions; arc length; area of surfaces of revolution; work; fluid pressure; moments; centers of mass; and centroids.
Integrate definite integrals and indefinite integrals utilizing a variety of integration techniques such as integration by parts, trigonometric patterns, trigonometric substitution, and partial fraction decomposition.
Evaluate improper integrals.
Determine the convergence or divergence of infinite series utilizing a variety of tests including telescoping, geometric series, integral, p-series, alternating series, ratio, and root tests.
Derive power series for functions and use them to help with differentiation, integration, and computation.
Graph polar and parametric curves by hand and relate them to rectangular coordinates for area, arc length, and tangent lines. Apply concepts of Calculus to polar and parametric forms of equations.

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