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Eric Hutchinson

Mathematics Professor

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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 Functions

1.2 - Basic Classes of Functions

1.3 - Trigonometric Functions

1.4 - Inverse Functions

1.5 - Exponential and Logarithm Functions



CHAPTER 2 - Limits and Continuity
SECTION
NOTES
VIDEO LINKS
2.1 - Limit of a Function and Limit Laws

2.2 - The Precise Definition of a Limit

2.3 - One-Sided Limits

2.4 - Continuity

2.5 - Limits Involving Infinity; Asymptotes of Graphs



CHAPTER 3 - Derivatives
SECTION
NOTES
VIDEO LINKS
3.1 - Defining the Derivative

3.2 - The Derivative as a Function

3.3 - Differentiation Rules

3.4 - Derivatives as Rates of Change

3.5 - Derivatives of Trigonometric Functions

3.6 - The Chain Rule

3.7 - Implicit Differentiation

3.8 - Derivatives of Inverse and Logarithmic Functions

3.9 - Derivatives of Inverse Trigonometric Functions

3.10 - Related Rates

3.11 - Linearization and Differentials




CHAPTER 4 - Applications of Derivatives
SECTION
NOTES
VIDEO LINKS
4.1 - Maxima and Minima

4.2 - Mean Value Theorem

4.3 - The First Derivative Test

4.4 - The Second Derivative Test and Curve Sketching

4.5 - L'Hopital's Rule

4.6 - Applied Optimization Problems



CHAPTER 5 - Integrals
SECTION
NOTES
VIDEO LINKS
5.1 - Antiderivatives

5.2 - Approximating Areas with Limits of Finite Sums

5.3 - The Definite Integral

5.4 - The Fundamental Theorem of Calculus

5.5 - Substitution with Indefinite Integrals

5.6 - Substitution with Definite Integrals


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