Cape Breton University

School of Science and Technology

 

Differential and Integral Calculus II

Math 122 Course Outline

 

Instructor: Dr. George Chen

Office: A129 G

Phone: 563-1825

Email: george_chen@cbu.ca

Homepage: http://faculty.cbu.ca/gchen (homework and their solutions)

Office hour: Mon., Wed., 11:30-12:20; Mon., Wed., 14:30-15:20; Tue., 10:30-11:30

Textbook: Single Variable Calculus –6th Edition

Author:  Robert A. Adams.

 

Major topics include:

 

  1. Inverse functions, derivatives of inverse functions, exponential and logarithmic functions, growth and decay models, inverse trigonometric functions and hyperbolic functions.

 

  1. Taylor polynomials, Taylor formula, Big-O notation, indeterminate forms and L’Hopital’s rule.

 

  1. The definite integral, partitions and Riemann sums, properties of the definite integral, mean-value theorem for integrals, fundamental theorem of calculus, methods of substitutions.

 

  1. Integration by parts, integration of powers of trigonometric functions, inverse trigonometric substitutions, method of partial fractions and other inverse substitutions, using Maple for integration, improper integral of type I and II and estimating convergence and divergence.

 

  1. Volumes of solids of revolution, volumes by slicing, arc length and surface area, parametric and polar curves, polar coordinates and polar curves.

 

  1. Sequences and series, convergence tests for series, absolute and conditional convergence, power series, Taylor and Maclaurin series.

 

Marking Scheme:

               Assignments                          15%

               2 Midterm (20% each)          40%

               Final                                      45%

Remark:  Your class attendance may affect your final grade.