Math 126 syllabus

Calculus II

Course Description:  

This course is a continuation of MA 125 with emphasis on

integral calculus. Topics include techniques of integration; applications of the

definite integral to geometry, natural sciences, engineering, and economics;

improper integrals; infinite sequences and series; Taylor polynomials and Taylor

series; parametric equations and polar coordinates. 

Core Course 

Prerequisites:  C or better in MA 125 

Textbook:   Joel Hass, Maurice D. Weir, and George B. Thomas, Jr.: University

Calculus Early Transcendentals, Pearson, 3rd edition, 2014

(ISBN 978-0-321-99958-0).  

Learning Objectives

Upon the successful completion of the course a student

will be able to:

  • Define, compute, and interpret a definite integral.
  • State, explain, and apply the fundamental theorem of calculus.
  • Perform techniques of integration, including u-substitution, integration by

parts, decomposition into partial fractions, and trigonometric substitution.

  • Recognize and compute improper integrals.
  • Apply integrals to concepts such as area, volume, arc length, mass, work,

and energy.

  • Manipulate infinite sequences and series.
  • Apply tests of convergence and divergence.
  • Find the interval of convergence for power series, manipulate power series

within their intervals of convergence, and represent analytic functions as a Taylor series.

  • Describe plane curves in terms of parametric equations and polar
  • coordinates.

Topics & Time Distribution:

By assuming the total of 13 weeks, the instructor

is given an extra week and a half to use for tests, emphasis on certain topics, etc.

Chapter 5 - Integration  (1 week)

Chapter 6 - Applications of Definite Integrals (2 weeks)

Chapter 7 - Integrals and Transcendental Functions  (1 week)

Chapter 8 - Techniques of Integration (3 weeks)

Chapter 9 - Infinite Sequences and Series (4 weeks)

Chapter 10 - Parametric Equations and Polar Coordinates (2 weeks)

 

Detailed Schedule:

Below are the essential sections which should be covered by all instructors.

Chapter 5:  5.5, 5.6

Chapter 6:  6.1 – 6.5

Chapter 7:  7.1, 7.3 (only the hyperbolic functions without their inverses)

Chapter 8:  8.1 – 8.4, 8.7

Chapter 9:  9.1 – 9.9

Chapter 10:  10.1 – 10.3, 10.5

 

 

Last updated: January 31, 2014