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MATH 2212 Calculus of One Variable II

 

Departmental Outline for MATH 2212

Calculus of One Variable II

Description: Applications and techniques of integration; transcendental and trigonometric functions; polar coordinates; infinite sequences and series; indeterminate forms; improper integrals.

Prerequisite: MATH 2211 Calculus of One Variable I or equivalent.

Calculator: Students may have a scientific calculator.  It is up to each instructor as to how much the students can use a calculator on tests.

Texts: (Required) Calculus:  One and Several Variables, 9 th Edition by Salas & Hille & Etgen, Wiley, 2003, ISBN 0-471-23120-7.

Syllabus

Chapter 7
Sections 7.1 - 7.4
Sections 7.6 - 7.7
Log and exponential functions
Exp. growth & inverse trig functions

Chapter 8
Sections 8.1 - 8.5
Integration by parts; trig functions; trig substitution; partial fractions

Chapter 9
Sections 9.3 - 9.9
Polar coordinates, area, curves, parametric functions, arc length

Chapter 10
Sections 10.1
Sections 10.2 - 10.4
Sections 10.5 - 10.6
Sections 10.7
Least Upper Bound axiom
Sequences
L'Hospital's Rule
Improper Integrals

Chapter 11
Sections 11.1 - 11.9
Infinite series, sigma notation, series of numbers, Taylor and power series

The ideas associated with proofs will be incorporated into this course.   Section 11.8 will be discussed and problems from that section assigned.

Content Standards for Math 2212 (pdf)