¥ CALCULUS NOTES (I):

(CONTINUALLY REVISED)

(LINKS FIXED; LET ME KNOW IF ANY ARE STILL BROKEN!)

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¥ NEW! EDITED TYPED NOTES ON 6.2: DISK METHOD AND WASHER METHOD FOR FINDING VOLUMES

NEW! (6.2): Section 6.2, Part 1 (pdf) (typed) É  Section 6.2, Part 2 (pdf) (typed) É 

Section 6.2, Part 3 (pdf) (typed) É  (revised 11/8/16)

¥ CHAPTER 0: FRONT MATTER / NOTATION GUIDE, AND

¥ CHAPTER 1: REVIEW

¥ CORRECTIONS to Page 1.10: Example 7 deals with the square root function, not the squaring function. Also, -9 (instead of 9) is not in the domain of f.

BIG FILE: Chapters 0 and 1 (pdf) (last revised 7/12/12)

SMALLER FILES (for faster download):

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

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

Chapter 0 (pdf): Front Matter / Notation Guide (last revised 7/12/12)

Topic 1 (pdf): Functions (last revised 7/12/12)

Topic 2 (pdf): Trigonometry I (last revised 7/12/12)

Topic 3 (pdf): Trigonometry II (last revised 7/12/12)

¥ CHAPTER 2: LIMITS AND CONTINUITY

¥ CORRECTION to Page 2.1.14: The answer (limit value) for Example 9 is 1.

¥ MINOR CORRECTION to Page 2.5.8: The last Limit Form more precisely yields 0+.

BIG FILES: Chapter 2A (pdf) É Chapter 2B (pdf) (last revised 7/12/12)

SMALLER FILES (for faster download):

Section 2.1 (pdf): An Introduction to Limits (last revised 7/12/12)

Section 2.2 (pdf): Properties of Limits (last revised 7/12/12)

Section 2.3 (pdf): Limits and Infinity I (last revised 7/12/12)

Section 2.4 (pdf): Limits and Infinity II (last revised 7/12/12)

Section 2.5 (pdf): The Indeterminate Forms 0/0 and inf/inf (last revised 7/12/12)

Section 2.6 (pdf): The Squeeze (Sandwich) Theorem (last revised 7/12/12)

Section 2.7 (pdf): Precise Definitions of Limits (last revised 7/12/12)

Section 2.8 (pdf): Continuity (last revised 7/12/12)

¥ CHAPTERS 1 AND 2 REVIEW OUTLINE

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

¥ CHAPTER 3: DERIVATIVES

BIG FILES: Sections 3.1-3.4 (pdf) (typed) É Sections 3.5-3.6 (pdf) (typed) É  NEW! (3.7/3.8): Section 3.7 (pdf) (typed) É Section 3.8 (pdf) (typed)

SMALLER FILES (for faster download):

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

Section 3.2 (pdf): Derivative Functions and Differentiability

Website: Great interactive visuals! http://www.touchmathematics.org/topics/derivatives

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

Section 3.7 (pdf): Implicit Differentiation (revised 9/1/14)

Section 3.8 (pdf): Related Rates (revised 3/5/15)

¥ CHAPTER 3 REVIEW OUTLINE

Chapter 3 Review (pdf) (typed; old 2004 file; revised 9/1/14)

¥ CHAPTER 4: APPLICATIONS OF DERIVATIVES

Section 4.1 (pdf): Extrema of a Function and the ÒEVTÓ É  (revised 6/20/15)

Section 4.2 (pdf): RolleÕs Theorem and the ÒMVTÓ for Derivatives É (revised 6/20/15)

Section 4.3 (pdf): The First Derivative Test (1st DT) É (revised 7/4/15)

 (to be continued)

¥ NEW! EDITED TYPED NOTES ON 6.2: DISK METHOD AND WASHER METHOD FOR FINDING VOLUMES

NEW! (6.2): Section 6.2, Part 1 (pdf) (typed) É  Section 6.2, Part 2 (pdf) (typed) É 

Section 6.2, Part 3 (pdf) (typed) É  (revised 11/8/16)

¥ OTHER CHAPTERS

This is a multi-year project! Draft handwritten notes, typed tests and solutions, 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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