CALCULUS NOTES and TESTS

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CORRECTIONS É (Revised 1/22/11)

¥ WEBSITE COMMENTS: Link to these web pages, not individual pdf files! I am always revising these notes. Suggestions are welcome! - Thanks É Ken Kuniyuki (B.S., M.S. Stanford / M.A. UCSD), Professor: San Diego Mesa College. Email me É website (other classes and websites; general Mesa College info).

Creative Commons License

For Òattribution,Ó simply mention my name and/or web URL somewhere if youÕre using huge chunks of the notes. I simply want due credit.

¥ CALCULUS I COURSE WEBSITE: Click here

¥ CALCULUS II COURSE WEBSITE: Click here

¥ CALCULUS III COURSE WEBSITE: Click here

¥ APPLIED CALCULUS I WEBSITE: Click here

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¥ TUTORING SITES:

¥ http://www.tutorvista.com É online tutoring

¥ http://www.akaritutoring.com É online tutoring

¥ http://www.ziizoo.com É like Google for tutors

¥ OTHER RESOURCES:

Click here

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¥ VIDEOS: CALCULUS SUCCESS PROGRAM:

http://www.calcsuccess.com/ - Prof. Guillermo Alvarez at City has uploaded excellent companion videos, including short preview videos that you should watch before we cover particular topics. His students have benefited greatly from these – let me know if you see similar results!

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EXERCISES

(CONTINUALLY REVISED)

Exercises for Chapters 1 and 2 É Instructions É Answers É (revised 1/19/12)

Exercises for Chapter 3 É Answers É (revised 1/19/12)

Exercises for Chapter 4 É Answers É (revised 1/19/12)

Exercises for Chapter 5 É Answers É (revised 8/21/11)

Exercises for Chapter 6 É Answers É (revised 1/19/12)

Exercises for Chapter 7 É Answers É (revised 1/19/12)

Exercises for Chapter 8 É Instructions É Answers É (revised 1/19/12)

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¥ CHAPTER 1: REVIEW

BIG FILE: Chapter 1 (pdf): Review (last revised 7/28/09)

SMALLER FILES (if you canÕt get the big files):

¥ TRIG IDENTITIES (pdf) (THESE ARE IN THE CHAPTER 1 NOTES):

Handout #1 (Basic IDs) É Handout #2 (Advanced IDs)

Topic 1 (pdf): Functions (last revised 1/15/09)

Topic 2 (pdf): Trigonometry I (last revised 1/15/09)

Topic 3 (pdf): Trigonometry II (last revised 7/28/09)

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¥ CHAPTER 2: LIMITS AND CONTINUITY

BIG FILE: Chapter 2 (pdf): Limits and Continuity (last revised 10/22/09)

MEDIUM PDF FILES: Chapter 2A (pdf) É Chapter 2B (pdf)

SMALLER FILES (if you canÕt get the big or medium files):

Section 2.1 (pdf): An Introduction to Limits (last revised 10/22/09)

Section 2.2 (pdf): Properties of Limits (last revised 10/22/09)

Section 2.3 (pdf): Limits and Infinity I (last revised 8/8/09)

Section 2.4 (pdf): Limits and Infinity II (last revised 8/8/09)

Section 2.5 (pdf): The Indeterminate Forms 0/0 and inf/inf (last revised 8/8/09)

Section 2.6 (pdf): The Squeeze (Sandwich) Theorem (last revised 8/8/09)

Section 2.7 (pdf): Precise Definitions of Limits (last revised 8/8/09)

Section 2.8 (pdf): Continuity (last revised 8/8/09)

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¥ CHAPTERS 1 AND 2 REVIEW OUTLINE

Chapters 1 and 2 Review Outline (last revised 7/27/09)

¥ EXERCISES:

Exercises for Chapters 1 and 2 É Instructions É Answers É

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¥ CHAPTER 3: DERIVATIVES

BIG FILES: Sections 3.1-3.2 (pdf) (typed) É Sections 3.3-3.4 (pdf) (typed) É Sections 3.5-3.6 (pdf) (typed) É Sections 3.7-3.8 (pdf) (handwritten draft) É Chapter 3 Review (typed)

SMALLER FILES (if you canÕt get the big files):

Section 3.1 (pdf): Derivatives, Tangent Lines, and Rates of Change

Section 3.2 (pdf): Derivative Functions and Differentiability

Section 3.3 (pdf): Techniques of Differentiation

Section 3.4 (pdf): Derivatives of Trigonometric Functions

Section 3.5 (pdf): Differentials and Linearization of Functions

Section 3.6 (pdf): Chain Rule

Handwritten draft: Section 3.7 (pdf): Implicit Differentiation

Handwritten draft: Section 3.8 (pdf): Related Rates

Chapter 3 Review

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¥ OTHER CHAPTERS

This is a multi-year project! Draft handwritten notes and other websites are available at the authorÕs course web sites:

General site: http://www.kkuniyuk.com

Math 150 (Calculus w/Analytic Geometry I)

Math 151 (Calculus w/Analytic Geometry II)

Math 252 (Calculus w/Analytic Geometry III)

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CALCULUS I TESTS

Old Exams and Solutions (Fall 2011)

Quiz (Chs. 1,2) --- Solutions (1 hour and 30 minutes)

Quiz (Ch. 3) --- Solutions (1 hour and 30 minutes)

Quiz (Ch. 4) --- Solutions (1 hour and 45 minutes)

Quiz (Ch. 5) --- Solutions (1 hour and 45 minutes)

Quiz (Ch. 6) --- Solutions (1 hour and 35 minutes)

Quiz (Ch. 7) --- Solutions (1 hour and 20 minutes)

Final ... Solutions (Part 1: 30 minutes; Part 2: 1 hour and 40 minutes)

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 CALCULUS II TESTS

Very Old Exams and Solutions (Fall 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

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

Old Final --- Solutions ("short response" exam due to fires)

Old 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)

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

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 CALCULUS III TESTS

Very Old Exams and Solutions (Fall 2007)

Old Quiz #1 (Chapter 14) É Solutions (2 hours)

Smaller files for older computers: Solutions (Part 1) É Solutions (Part 2)

Old Quiz #2 (Chapter 15, Sections 16.1-16.2) É Solutions (2 hours)

Old Quiz #3 (Sections 16.3-16.9) É Solutions (2 hours)

Smaller files for older computers: Solutions (Part 1) É Solutions (Part 2)

Old Quiz #4 (Chapter 17) É Solutions (2 hours)

Old Quiz #5 (Chapter 18) É Solutions (1 hour, 20 minutes)

This test is from Fall 2006. Fires and a blackout messed up 2007.

Old Final (cumulative) É Solutions (35 minutes)

This test is from Fall 2006. Fires and a blackout messed up 2007.

Old Exams and Solutions (Fall 2008)

Quiz #1 (Chapter 14) É Solutions (2 hours) – Adobe Reader/Acrobat, Version 6.0 and later.

Larger files that are compatible with Adobe Reader/Acrobat, Version 5.0:

Quiz #1 (Chapter 14) É Solutions (2 hours)

Quiz #2 (Chapter 15, 16.1, 16.2) É Solutions (2 hours) – Adobe Reader/Acrobat, Version 6.0 and later.

Quiz #3 (Sections 16.3-16.9) É Solutions (2 hours)

Quiz #4 (Chapter 17) É Solutions (2 hours)

Quiz #5 (Chapter 18) É Solutions (1 hour and 20 minutes)

Final (cumulative) É Solutions (35 minutes)

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PRECALCULUS NOTES and TESTS

Email me É website (other classes, resources)