MATH 151 - CALCULUS WITH ANALYTIC GEOMETRY II

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• Class Notes

• FRONT PAGES

Creative Commons License

For “attribution,” simply mention my name and/or web URL somewhere if you’re using huge chunks of the notes. I simply want due credit.

TABLE OF CONTENTS

Chapter 9: Advanced Techniques of Integration

• BIG FILE: Chapter 9 notes (handwritten)

Chapter 10: Indeterminate Forms and Improper Integrals

• BIG FILE: Chapter 10 notes (handwritten)

Sections 11.1-11.5: Infinite Series I

• BIG FILE: Sections 11.1-11.5 notes (handwritten)

Sections 11.6-11.10: Infinite Series II

• BIG FILE: Sections 11.6-11.10 notes (handwritten)

Chapter 12: Conics

• BIG FILE: Chapter 12 notes (handwritten)

Chapter 13: Plane Curves and Polar Coordinates

• BIG FILE: Chapter 13 notes (handwritten)

• POLAR GRAPH PAPER: PolarGraphPaper

Misc. Topics: Applications of Definite Integrals (Work, Moments, Center of Mass); Separable Differential Equations and Laws of Growth and Decay

• BIG FILE: Misc. notes (handwritten)

• Pop Quizzes (Review of Topics in Math 150: Calculus I)

Applet for integration review:

http://www.math.ucla.edu/~ronmiech/Java_Applets/index.html

(Click on "Integration Review I, the Chain Rule.")

Pop Quiz --- Solutions (take before Chapter 9)

Pop Quiz II --- Solutions (take before Chapter 10)

• Syllabus (Spring 2004): Syllabus

• Homework Assignments (Spring 2004)

• Textbook: Swokowski, Classic (5th) Edition of Calculus

#1  (Ch.9) … #2 (Ch.10) … #3 (Sections 11.1-11.5) … #4 (Sections 11.6-11.8) …

#5 (Ch.12) … #6 (Ch.13) … Misc. Topics: know the notes and 19.l, #11

PolarGraphPaper

Final --- Solutions (1 hour and 15 minutes)

• Old Exams and Solutions (Spring 2003)

Old Quiz #1 (Ch.9) --- Solutions (1 hour and 30 minutes)

Old Quiz #2 (Ch.10) --- Solutions (1 hour and 10 minutes)

Old Quiz #3 (Sections 11.1-11.5) --- Solutions (1 hour and 10 minutes)

Old Quiz #4 (Sections 11.6-11.8) --- Solutions (Part 1: 15 minutes, Part 2: 40 minutes)

Old Quiz (Ch.12: Conics) (Spring 2003) --- Solutions

You will be tested on Ch.12 as part of your Final.

Old Quiz #5 (Ch.13) --- Solutions (1 hour)

Old Final --- Solutions (From Fall 2003)

Note: The Fall 2003 Final was a "short response" 45-point exam. The firestorm forced me to redesign the class. Part 1 of your Final may look something like this. Part 2 of your Final will include additional material, including Chapter 12 (see the old conics quiz above). "Longer response" questions are fair. Your Final will be worth 100 points total. See the Syllabus.

• Current Exams and Solutions (Spring 2004)

Quiz #1 (Ch.9) --- Solutions (1 hour and 30 minutes)

Quiz #2 (Ch.10) --- Solutions (1 hour and 20 minutes)

Quiz #3 (Sections 11.1-11.5) --- Solutions (1 hour and 10 minutes)

Quiz #4 (Sections 11.6-11.8) --- Solutions (Part 1: 15 minutes, Part 2: 40 minutes)

Quiz #5 (Ch.13) --- Solutions (1 hour and 10 minutes)

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