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Math 400: Calculus i
In-Class notes:
Chapter 1
1.1-Graphs and Models
1.2-Linear Models and Rates of Change
1.3-Functions & Their Graphs
1.5-Inverse Functions
1.6-Exponential and Logarithmic Functions
Chapter 2
2.1 A Preview of Calculus
2.2 Finding Limits Graphically and Numerically
2.3 Evaluating Limits Analytically
2.4 Continuity and One-Sided Limits
2.5 Infinite Limits
Chapter 3
3.1 The Derivative and the Tangent Line Problem
3.2 Basic Differentiation Rules and Rates of Change
3.3 Product and Quotient Rules and Higher Order Derivatives
3.4 The Chain Rule
3.5 Implicit Differentiation
3.6 Derivatives of Inverse Functions
3.7 Related Rates
3.8 Newtons Method EC
chapter 4
4.5 Limits at Infinity
4.1 Extreme Value of Functions
4.2 The Mean Value Theorem
4.3-Monotonic Functions and the First Derivative Test
4.4-Concavity and the 2nd Derivative Test
4.6-A Summary of Curve Sketching
4.7-Optimization Problems
4.8 Differentials
chapter 5
5.2 Area
5.3 Riemann Sums and Definite Integrals
5.4 The Fundamental Theorem of Calculus
5.1 Antiderivatives and Indefinite Integration
5.5 Integrations by Substitution (U-subs)
5.7 Integration: Logs
5.8 Integration: Inverse Trig
5.9 Hyperbolic Functions (if time)