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Eric Hutchinson

Mathematics Professor

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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 (Precalculus Review)
SECTION
NOTES
VIDEO LINKS
1.1 - Functions and Their Graphs

1.2 - Combining Functions; Shifting and Scaling Graphs

1.3 - Trigonometric Functions

1.5 - Exponential Functions

1.6 - Inverse Functions and Logarithms



CHAPTER 2 - Limits and Continuity
SECTION
NOTES
VIDEO LINKS
2.1 - Rates of Change and Tangents to Curves

2.2 - Limit of a Function and Limit Laws

2.3 - The Precise Definition of a Limit

2.4 - One-Sided Limits

2.5 - Continuity

2.6 - Limits Involving Infinity; Asymptotes of Graphs



CHAPTER 3 - Derivatives
SECTION
NOTES
VIDEO LINKS
3.1 - Tangents and Derivatives at a Point

3.2 - The Derivative as a Function

3.3 - Differentiation Rules

3.4 - The Derivative as a Rate of Change

3.5 - Derivatives of Trigonometric Functions

3.6 - The Chain Rule

3.7 - Implicit Differentiation

3.8 - Derivatives of Inverse Functions and Logarithms

3.9 - Inverse Trigonometric Functions

3.10 - Related Rates

3.11 - Linearization and Differentials




CHAPTER 4 - Applications of Derivatives
SECTION
NOTES
VIDEO LINKS
4.1 - Extreme Values of Functions

4.2 - Mean Value Theorem

4.3 - Monotonic Functions and the First Derivative Test

4.4 - Concavity and Curve Sketching

4.5 - Indeterminate Forms and L'Hopital's Rule
4.6 - Applied Optimization

4.8 - Antiderivatives



CHAPTER 5 - Integrals
SECTION
NOTES
VIDEO LINKS
5.1 - Area and Estimating with Finite Sums

5.2 - Sigma Notation and Limits of Finite Sums

5.3 - The Definite Integral

5.4 - The Fundamental Theorem of Calculus

5.5 - Indefinite Integrals and the Substitution Rule

5.6 - Substitution and Area Between Curves


Note: The above notes coincide with Precalculus, 1st Edition, by Julie Miller and Donna Gerken.