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MATH255: Calculus II
Revised: November 2006
Course Description
Symbolic and numerical techniques of integration, applications of integrals, infinite series, and an introduction to differential equations. Four semester hours.
Objectives
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To continue the study of the calculus of one variable begun in Math 153;
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To provide a rigorous course in the integral calculus of one variable;
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To provide students with applications of integrals.
- To provide students with the tools to analyze infinite series.
Text
Hughes-Hallet, D. & Gleason, A.M., et al. Calculus, 4th edition. Wiley & Sons, 2005.
Grading Procedure
Grading procedures and factors influencing course grade are left to the discretion of individual instructors, subject to general university policy.
Attendance Policy
Attendance policy is left to the discretion of individual instructors, subject to general university policy.
Course Outline
CHAPTER 7 - Integration (14 days)
All sections are to be covered Methods of integration, approximating definite integrals, improper integrals.CHAPTER 8 - Using the Definite Integral (9 days)
Sections 1 - 3 essential; other sections optional (at the instructor's discretion) Areas, volumes, polar coordinates, and other selected applications.CHAPTER 9 - Sequences and Series (9 days)
All sections are to be covered Sequences, geometric series, convergence of sequences and series, tests for convergence, power seriesCHAPTER 10 - Approximating Functions (8 days)
Sections 1 - 4 Taylor polynomials and Taylor series-
Parametric Equations - Section 4.8 (2 days)