MAT1575 Calculus II, Spring 2015

active 10 years, 1 months ago

Open

This Course is OPEN.

Professor(s)

Suman Ganguli

Department

Mathematics

Course Code

MAT1575

Semester / Year

Spring 2015

Course Description

A continuation of Calculus I (i.e., MAT 1475). The course begins with integration: definition of definite and indefinite integrals, the Fundamental Theorem of Calculus, techniques of integration, improper integrals, and applications of integrals to areas, volumes and arc lengths. The latter half of the course covers Taylor polynomials, the Mean Value Theorem, infinite sequences and series, tests of convergence, and Taylor series.

Acknowledgements

This course was created by: Suman Ganguli

Recent Discussions

Final Exam / Extra Office Hours Final Exam / Extra Office Hours

The final exam is this Wednesday (May 20). I have posted a study guide: https://openlab.citytech.cuny.edu/ganguli-mat1575-spring2015/2015/05/13/final-exam-study-guide/ I will have office hours over the next couple days before the exam. […] The final exam is this Wednesday (May 20). I have posted a study guide: https://openlab.citytech.cuny.edu/ganguli-mat1575-spring2015/2015/05/13/final-exam-study-guide/ I will have office hours over the next couple days before the exam. […]

HW #10 & Exam #3 HW #10 & Exam #3

Update: the exam this Wednesday will not cover Sec 10.6 (Power Series). It will cover Sections 10.2, 10.3, 10.4 and 10.5. In particular, understand #8 and #9 on the Final Exam Review Sheet--how the various tests are used to determine the […] Update: the exam this Wednesday will not cover Sec 10.6 (Power Series). It will cover Sections 10.2, 10.3, 10.4 and 10.5. In particular, understand #8 and #9 on the Final Exam Review Sheet--how the various tests are used to determine the […]

Tests for Infinite Series Tests for Infinite Series

Here is a summary I wrote up of the tests for convergence/divergence of infinite series that we discussed from Sections 10.2 and 10.3 of the text. You can use this as a reference as you do exercises, but also look at the examples in the […] Here is a summary I wrote up of the tests for convergence/divergence of infinite series that we discussed from Sections 10.2 and 10.3 of the text. You can use this as a reference as you do exercises, but also look at the examples in the […]