MATH 2243
Business Calculus

Lecture Notes

The following are lecture notes designed for the Business calculus class at ATU. The topics follow the partition of the textbook "Applied Calculus" by Hughes-Hallett et al. These notes have been improved and will continue to be. Please feel free to browse through them.

To Students: BEWARE! The notes posted here are those that I write for myself to bring to class so that if you miss class, you can see approximately what we covered. I will NOT be posting notes as they would appear in class. There will be many missing examples and explanations. This is not a replacement for coming to class and taking notes yourself.

§ 1.1 Functions and Function Notation
§ 1.2 Linear Functions
§ 1.3 Rate of Change and Its Applications
§ 1.4 Applications of Functions to Economics
§ 1.5 Exponential Functions
§ 1.6 The Natural Logarithm
§ 1.7 Exponential Growth and Decay
§ 1.8 Building New Functions from Old Ones
§ 1.9 Power Functions and Polynomials
§ 2.1 Instantaneous Rate of Change
§ 2.2 The Derivative Function
§ 2.3 Leibniz Notation of the Derivative
§ 2.4 The Second Derivative
§ 2.5 Marginal Analysis
§ 3.1 Derivative of Powers and Polynomials
§ 3.2 Derivative Formulas for Exponential and Logarithmic Functions
§ 3.3 Derivatives for Composite Functions: The Chain Rule
§ 3.4 The Product and Quotient Rules
§ 4.1 Local Maxima and Minima
§ 4.2 Concavity and Points of Inflection
§ 4.3 Global Maxima and Minima
§ 4.4 Optimizing Profit and Revenue Functions
§ 4.5 Average Cost
§ 4.6 Elasticity of Demand
§ 4.7 Logistic Growth
§ 5.1 Accumulated Change
§ 5.2 The Definite Integral
§ 5.3 The Definite Integral as Area
§ 5.4 Interpretations of The Definite Integral
§ 5.5 The Fundamental Theorem of Calculus
§ 6.1 The Average of a Function
§ 6.2 Consumer and Producer Surplus
§ 6.3 Present and Future Value of a Continuous Income Stream
§ 7.1 Finding Antiderivatives Analytically

MATH 2243 Business Calculus

Lecture Notes

MATH 2243
Business Calculus