Revised: January 2015
Derivatives and integrals of transcendental functions, techniques of integration, indeterminant forms, improper integrals, infinite series. Prerequisite: Math 153. Four semester hours.
By the end of the course, the student will be able to:
Steward, James. Calculus: Early Transcendentals, 6th edition, Thomson Brooks/Cole, 2008.
Grading procedures and factors influencing course grade are left to the discretion
of individual instructors, subject to general university policy.
Attendance policy is left to the discretion of individual instructors, subject to
general university policy.
• Review of Chapter 5 (1-2 days)
• CHAPTER 6 - Integrals (5 days) Sections 6.2-6.5; Applications of the definite integral including volumes, work and average values of functions.
• CHAPTER 7 - Techniques of Integration (11 days) Sections 7.1-7.5, 7.7, 7.8 essential, 7.6 optional. Methods of integration, approximate integration, and improper integrals.
• CHAPTER 8 - Further Applications of Integration (4 days) Sections 8.1 and 8.2 essential, with selected topics from 8.3-8.5 (at instructor's discretion). Arc length, areas of surfaces of revolution, and selected applications from the sciences.
• CHAPTER 10 - Parametric Equations and Polar Coordinates (6 days) Sections 10.1-10.4 essential. Derivatives, arc length, and areas in the parametric and polar settings.
• CHAPTER 11 – Infinite Sequences and Series (16 days) Sections 11.1- 11.10 essential, 11.11 optional. Limits of sequences, tests for convergence of series, power series, and Taylor series.
Additional sections may be covered, if time permits, at the instructors discretion.