MATH 181 NOTES

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Eric Hutchinson

Mathematics Professor

Contact Info:

Office: West Charleston, Building H, Room 101C
Office Phone: 702-651-7512
Office Fax: 702-651-5881

Email: eric.hutchinson@csn.edu

MATH 181 NOTES

*CHAPTER 1 - Functions and Graphs (Precalculus Review)*
*SECTION*	*NOTES*	*VIDEO LINKS*
*1.1 - Review of Algebra and Factoring*	1.1 Written Notes 1.1 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9
*1.2 - Review of Functions and Graphing*	1.2 Written Notes 1.2 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7
*1.3 - Trigonometric Functions*	1.3 Written Notes 1.3 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9
*1.4 - Inverse Functions*	1.4 Written Notes 1.4 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6
*1.5 - Exponential and Logarithm Functions*	1.5 Written Notes 1.5 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9 EXAMPLE 10 EXAMPLE 11 EXAMPLE 12 EXAMPLE 13 EXAMPLE 14 EXAMPLE 15

*CHAPTER 2 - Limits and Continuity*
*SECTION*	*NOTES*	*VIDEO LINKS*
*2.1 - Limit of a Function and Limit Laws*	2.1 Written Notes 2.1 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8
*2.2 - The Precise Definition of a Limit*	2.2 Written Notes 2.2 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8
*2.3 - One-Sided Limits*	2.3 Written Notes 2.3 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7
*2.4 - Continuity*	2.4 Written Notes 2.4 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5
*2.5 - Limits Involving Infinity; Asymptotes of Graphs*	2.5 Written Notes 2.5 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7

*CHAPTER 3 - Derivatives*
*SECTION*	*NOTES*	*VIDEO LINKS*
*3.1 - Defining the Derivative*	3.1 Written Notes 3.1 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6
*3.2 - The Derivative as a Function*	3.2 Written Notes 3.2 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8
*3.3 - Differentiation Rules*	3.3 Written Notes 3.3 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9 EXAMPLE 10 EXAMPLE 11 EXAMPLE 12 EXAMPLE 13 EXAMPLE 14 EXAMPLE 15 EXAMPLE 16 EXAMPLE 17
*3.4 - Derivatives as Rates of Change*	3.4 Written Notes 3.4 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4
*3.5 - Derivatives of Trigonometric Functions*	3.5 Written Notes 3.5 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7
*3.6 - The Chain Rule*	3.6 Written Notes 3.6 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9 EXAMPLE 10 EXAMPLE 11 EXAMPLE 12 EXAMPLE 13 EXAMPLE 14 EXAMPLE 15
*3.7 - Implicit Differentiation*	3.7 Written Notes 3.7 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8
*3.8 - Derivatives of Inverse and Logarithmic Functions*	3.8 Written Notes 3.8 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9 EXAMPLE 10 EXAMPLE 11 EXAMPLE 12
*3.9 - Derivatives of Inverse Trigonometric Functions*	3.9 Written Notes 3.9 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7
*3.10 - Related Rates*	3.10 Written Notes 3.10 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9
*3.11 - Linearization and Differentials*	3.11 Written Notes 3.11 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7

*CHAPTER 4 - Applications of Derivatives*
*SECTION*	*NOTES*	*VIDEO LINKS*
*4.1 - Maxima and Minima*	4.1 Written Notes 4.1 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9
*4.2 - Mean Value Theorem*	4.2 Written Notes 4.2 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5
*4.3 - The First Derivative Test*	4.3 Written Notes 4.3 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8
*4.4 - The Second Derivative Test and Curve Sketching*	4.4 Written Notes 4.4 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8
*4.5 - L'Hopital's Rule*	4.5 Written Notes 4.5 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7
*4.6 - Applied Optimization Problems*	4.6 Written Notes 4.6 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8

*CHAPTER 5 - Integrals*
*SECTION*	*NOTES*	*VIDEO LINKS*
*5.1 - Antiderivatives*	5.1 Written Notes 5.1 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7
*5.2 - Approximating Areas with Limits of Finite Sums*	5.2 Written Notes 5.2 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9 EXAMPLE 10 EXAMPLE 11 EXAMPLE 12 EXAMPLE 13 EXAMPLE 14
*5.3 - The Definite Integral*	5.3 Written Notes 5.3 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7
*5.4 - The Fundamental Theorem of Calculus*	5.4 Written Notes 5.4 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9
*5.5 - Substitution with Indefinite Integrals*	5.5 Written Notes 5.5 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8
*5.6 - Substitution with Definite Integrals*	5.6 Written Notes 5.6 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4

Note: The above notes coincide with OpenStax Calculus 1, by Gilbert Strang and Edwin "Jed" Herman, and can be downloaded for free HERE.