Lecture Notes
First Day and R.1 Graphs and Equations
R.2 Functions, R.3 Domain and Range, R.4 Lines
(Friday) R.4 Linear Functions and Cost Analysis and R.5 Quadratic Functions
1.1 Limits: A Numerical and Graphical Approach
(Friday #1) 1.2 Algebraic Limits and Continuity (part 1)
(Friday #1) 1.2 Algebraic Limits and Continuity (part 2)
1.3 Average Rates of Change
(Friday #1) 1.4 Differentiation Using Limits of Difference Quotients (part 1)
(Friday #2) 1.4 Differentiation Using Limits of Difference Quotients (part 2)
1.5 Differentiation Techniques: Power Rule
(Friday #1) 1.6 Differentiation Techniques: Product Rule and Quotient Rule (part 1)
(Friday #1) 1.6 Differentiation Techniques: Product Rule and Quotient Rule (part 1)
1.7 The Chain Rule and 1.8 Higher Order Derivatives
Using First Derivatives: Max's and Min's
(Friday #1) 2.1 Using First Derivatives: More Examples
(Friday #2) 2.2 Using Second Derivatives
(Friday) 2.3 Graph Sketching: Asymptotes and Rational Functions
2.4 Using Derivatives to find Absolute Maximum and Minimum Values and 2.5 Business and Economic Applications (part 1)
(Friday) 2.5 Business and Economic Applications (part 2)
2.6 Marginals and Differentials and 2.7 Elasticity of Demand
sections 2-4 and 2-5 sums
3.1 Exponential Functions and 3.2 Logarithmic Functions (part 1)
(Friday #1) 3.2 Logarithmic Funcions (part 2)
(Friday #2) 3.3/3.4 Exponential Growth and Decay
3.5 Derivatives of a^x and log_a (x) and 4.1 Antiderivatives
(Friday #1) 4.1 Antiderivatives (part 2) and 4.2 Areas
(Friday #2) 4.2 Example and 4.3 Background
Area and Definite Integrals
2015-11-12-Note-Sections 3-1 to 3-5
(Friday #1) 4.4 Properties of Definite Integrals (part 1)
(Friday #1) 4.4 Properties of Definite Integrals (part 2)
4.5 Integration Techniques: Substitution (part 1)
(Extra) 4.5 Substitution (part 2)
5.1 An Economics Example: Consumer Surplus and Consumer Surplus
5.2 Applications of Integrating Growth and Decay Models
5.3 (part 1) Indefinite Ingegrals
5.3 (part 2) Perpetual Accumulated Present Value
Final Exam Review I
Final Exam Review II