Calculus II | Master Course Outlines | Academics | Bucks County Community College

MATH141 Calculus II

4 credits

3000

MATH140 (C or better)

None

At least four one-hour tests, quizzes, and a two-hour comprehensive departmental final examination are given.

This course is a continuation of Math 140. Topics include differentiation and integration of transcendental functions, indeterminate forms, methods of integration, improper integrals, infinite series, parametric equations, and polar coordinates.

Course Learning Goals

Students will:
1. differentiate and integrate transcendental functions, including logarithms, exponential, trigonometry and inverse trigonometric, hyperbolic and inverse hyperbolic functions;
2. apply methods of integration, such as algebraic substitution, trigonometric substitution, partial fractions, integration by parts, and use a table of integrals;
3. solve limit problems involving indeterminate forms with La'Hopital's Rule;
4. evaluate improper integrals;
5. determine convergence or divergence of positive term series using the ratio test, comparison test, limit comparison test or integral test; determine the convergence, absolute convergence, conditional convergence or divergence of alternating series; determine the interval of convergence of power series; and express a function as a series using Maclaurin or Taylor series; and
6. convert parametric representation of curves to rectangular coordinates, represent a curve using polar coordinates, and integrate functions expressed in polar coordinates.
Planned Sequence of Topics and/or Learning Activities
1. Differentiation and Integration of Transcendental Functions
2. Methods of Integration
3. Infinite Series
4. Vectors and Parametric Equations
Assessment Methods for Course Learning Goals
The student applies mathematical concepts and principles to identify and solve problems presented through informal assessment, such as oral communication among students and between teacher and students. Formal assessment consists of open-ended questions reflecting theoretical and applied situations.
Reference, Resource, or Learning Materials to be used by Student:
A graphing calculator and a departmentally-selected textbook are used. Details are provided by the instructor of each course section. See course syllabus.