Course Lectures
MATH 113: Calculus I
Chapter 1: Functions and Models (Review)
Lec 1:
Pre-Calculus Review (Lines)
Lec 2:
Functions & Models
Chapter 2: Limits and Derivatives
2.1
The Tangent and Velocity Problems
2.2
The Limit of a Function
2.3
Calculating Limits Using Limit Laws
2.5
Continuity
2.6
Limits at Infinity; Horizontal Asymptotes
2.7
Derivatives and Rates of Change
2.8
The Derivative as a Function
Chapter 3: Differentiation Rules
3.1
Derivatives of Polynomials and Exponentials
3.2
The Product and Quotient Rules
3.3
Derivatives of Trigonometric Functions
3.4
The Chain Rule
3.5
Implicit Differentiation
3.6
Logarithmic and Inverse Trig Derivatives
3.9
Related Rates
3.10
Linearization and Differentials
Chapter 4: Applications of Differentiation
4.1
Maximum and Minimum Values
4.2
The Mean Value Theorem
4.3
First and Second Derivative Test
4.4
L'Hopital's Rule - Indeterminant Forms
4.5
Summary of Curve Sketching
4.7
Optimization
4.7
candidate check
4.9
Antiderivatives
Chapter 5: Integrals
5.1
Integrals
5.2
The Definite Integral
5.3
Fundamental Theorem of Calculus
5.5
U-Substitution
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