Calculus II - MATH 2414

Mike Huff

Professor of Mathematics

Austin Community College

Cypress Creek Campus

Spring 2012

Monday and Wednesday	Tuesday and Thursday
8:30am- 9:00am Office Hours CYP5 2204.24	9:45am-10:45am Office Hours CYP5 2204.24

10:30am-10:50am Office Hours CYP5 2204.24
	2:35pm- 2:50pm Office Hours CYP5 2204.24

2:35pm- 3:35pm Office Hours CYP5 2204.24

Office Hours: Monday and Wednesday 10:45 am- 11:15am CYP5 2204.24

               Monday and Wednesday 3:15pm-4:00pm CYP5 2204.24

Announcements Spring 2012 Semester

Test 1B handout key

Integration Review

Integration Review Answers

Homework List Fall 2012 Semester

4.8 1, 5, 9, 11, 13, 15, 17, 19, 23, 25, 29, 31, 33, 35, 39, 41, 49

5.2 1, 9, 17, 31, 34

5.3 1, 5, 9, 13, 17, 21, 25, 29, 39, 41, 43, 53, 59

5.4 1, 3, 5, 7, 11, 15, 19

5.5 2, 4, 8, 9, 11, 19, 22, 27, 30, 31, 39, 41, 59

5.6 1, 3, 7, 9, 11, 15, 19, 25, 27, 34, 41, 42, 44

5.7 3, 5, 7, 9, 10, 12, 15, 17, 19, 20, 21, 23

5.10 5, 9, 13, 17, 33, 43, 48, 54

5.9 7, 11, 15

6.1 Areas 1, 5, 11, 13, 15, 19, 27, 33, 37

6.2 Volumes 3, 5, 7, 13, 25, 33, 45

6.3 Volumes by Shells 3, 5, 9, 11, 21

6.4 Arc Length 1, 3, 7, 13, 17, 23

6.5 Average Value 1, 3, 9, 12, 15, 16, 17

6.8 Probability 1, 3, 5, 7, 9, 11

Appendix H.1 1, 3, 5, 7, 11, 13, 17, 23, 27, 31, 33, 51, 53, 57

Appendix H.2 1, 5, 9, 13, 17, 19, 21, 29, 35

6.6 Work: 1, 3, 5, 7, 21, 32, 33

8.1 Sequences 7, 9, 11, 19, 21, 25, 27, 29, 31, 40, 41

8.2 Series 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 37, 41

8.3 7, 9, 11, 13, 17, 21, 25, 27, 28, 31, 35

8.4 3, 5, 7, 13, 15, 17, 19, 23, 27, 29, 33

8.5 3, 5, 7, 9, 11, 13, 15, 17

8.6 3, 7, 13, 17, 21, 25, 29

8.7 1, 5, 7, 13, 19, 23, 25, 27, 29

7.1 1, 3, 5, 7, 9, 11

7.2 1, 3, 4, 5, 6, 7, 9, 11, 27, 39

7.3 1, 3, 5, 9, 13, 21, 29

7.4 1, 3, 5, 7, 9, 11, 13, 21

Lecture Notes

Integration	Series
01 Section 1 Integration by Substitution	Section 1 Sequences
02 Section 2 Integration by Parts	Section 2 Introduction to Series
03 Section 3 More Integration Techniques Section 3 Worked Examples	Section 3 Series with Positive Terms
Trigonometric Integration	Section 4 Alternating series
04 Section 4 Estimating Definite Integrals	Section 5 Root Test
05 Section 5 Improper Integrals	Section 6 Power Series
06 Section 6 Area between Two Curves	Section 7 Representing Functions as Power Series
07 Section 7 Parametric Curves Review Polar Curves Areas and Lengths of Polar Curves	Section 8 Taylor Series
08 Section 8 Volume Area and Volume Worked Examples	Series Summary
09 Section 9 Arc Length	Differential Equations
10 Section 10 Average Value of a Function	Introduction to DE
11 Section 11 Work	Separable Differential Equations
12 Section 12 Probability	Mixing Problems

A List of Recommended Websites for Calculus

Math Articles

ICTCM Electronic Proceedings

Area of Circle
Great Pyramid Problem
Pizza Problem
Rocket Problem

New Tests

Old Tests

Test 1 Part 1 Key Spring 2009	Test 2A Fall 2009 KEY	Test 3 Spring 2009
Test 1 Part 2 Spring 2009 Key	Test 2B Fall 2009 key	Test 4 Spring 2006
Test 1 Part 1 Key Fall 2009	Test 2 Spring 2007	Test 5 Spring 2008
Test 1B Fall 2009 Key	Test 2 Spring 2006 key	Try This
Test 1A summer 2009	Test 2 Spring 2004	Try Questions 1-7 on this
Test 1A Spring 2009	Test 2 Spring 2003 key	DE Test (Chapter 7)
Test 1A Spring 2010 key		Test 4 Spring 2011
Test 1 Fall 2010 key
Test 1A Spring 2011

Additional resources

A List of Recommended Websites for Calculus 2

Visual Calculus

http://archives.math.utk.edu/visual.calculus/

These are particularly useful for the start of Calculus 2:
Techniques of Integration - Substitution
Tutorial on integration using the method of substitution.

Drill problems for integration using the method of substitution.
Quiz on substitutions and elementary integrals.
Drill on evaluating certain integrals.
[Using Java] [Using IBM Techexplorer] [Using IBM Pro. Techexplorer]
Drill problems for integration using the method of trigonometric substitution.
Using Maple to illustrate the method of substitution.

Techniques of Integration - Integration by Parts
Tutorial on using Integration by Parts.

Some drill problems using Integration by Parts.
[Using Java] [Using IBM TechExplorer] [Using IBM Pro. TechExplorer]
Some drill problems using Integration by Parts.
[Using Java] [Using IBM TechExplorer] [Using IBM Pro. TechExplorer]
Some drill problems using Integration by Parts.
[Using Java] [Using IBM Pro. TechExplorer]
Some more drill problems using Integration by Parts.
Derivation of Integration by Parts formula (uses dynamic html).
Using Maple to illustrate the method of Integration by Parts.

List of Calculus Related Links (includes the two listed above)

http://dmoz.org/Science/Math/Calculus/

The Definite Integral of a Continuous Function (Java Applet)

http://www.ma.utexas.edu/cgi-pub/kawasaki/plain/integrals/2.html

TI- Calculator Applications (Browse by type of calculator and topic)

ftp://ftp.ti.com/pub/graph-ti/calc-apps/

Click here to return to the main website.