Business Calculus

Business Calculus Course Menu

A study of Calculus with emphasis placed on the application of these concepts to business and management related problems. The course explores mathematical concepts, methods and applications from life issues, science, business, finance and environmental issues. Derivatives and integrals of functions including polynomials, rational, exponential and logarithmic functions are covered.
Prerequisite: College Algebra and Trigonometry or Precalculus with Trigonometry with a grade of C or better.

Chapter 1

Linear Equations and Graphs

Lessons Homework HW Quiz
1.1   Linear Equations and Inequalities 1.1 1.1
1.2   Graphs and Lines 1.2 1.2
1.3   Linear Regression 1.3 1.3
Chapter 1 Test  

Chapter 2

Functions and Graphs

Lessons Homework HW Quiz
2.1   Functions 2.1 2.1
2.2   Elementary Functions: Graphs and Transformations 2.2 2.2
2.3   Quadratic Functions 2.3 2.3
2.4   Polynomial and Rational Functions 2.4 2.4
2.5   Exponential Functions 2.5 2.5
2.6   Logarithmic Functions 2.6 2.6
Chapter 2 Test  

Chapter 3

Limits and the Derivative

Lessons Homework HW Quiz
3.1   Introduction to Limits 3.1 3.1
3.2   Infinite limits and limits at Infinity 3.2 3.2
3.3   Continuity 3.3 3.3
3.4   The Derivative 3.4 3.4
3.5   Basic Differentiation Properties 3.5 3.5
3.6   Differentials 3.6 3.6
3.7   Marginal Analysis in Business and Economics 3.7 3.7
Chapter 3 Test  

Chapter 4

Additional Derivative Topics

Lessons Homework HW Quiz
4.1   The Constant e and Continuous Compound Interest 4.1 4.1
4.2   Derivatives of Exponential and Logarithmic Functions 4.2 4.2
4.3   Derivative of Products and Quotients 4.3 4.3
4.4   The Chain Rule 4.4 4.4
4.5   Implicit Differentiation 4.5 4.5
4.6   Related Rates 4.6 4.6
4.7   Elasticity of Demand 4.7 4.7
Chapter 4 Test  

Chapter 5

Graphing and Optimization

Lessons Homework HW Quiz
5.1   First Derivative and Graphs 5.1 5.1
5.2   Second Derivative and Graphs 5.2 5.2
5.3   L'Hopital's Rule 5.3 5.3
5.4   Curve Sketching Techniques 5.4 5.4
5.5   Absolute Maxima and Minima 5.5 5.5
5.6   Optimization 5.6 5.6
Chapter 5 Test  

Chapter 6

Integration

Lessons Homework HW Quiz
6.1   Antiderivatives and Indefinite Integrals 6.1 6.1
6.2   Integration by Substitution 6.2 6.2
6.3   Differential Equations: Growth and Decay 6.3 6.3
6.4   The Definite Integral 6.4
6.5   The Fundamental Theorem of Calculus 6.5 6.5
Chapter 6 Test  

Chapter 7

Additional Integration

Lessons Homework HW Quiz
7.1   Area Between Curves 7.1 7.1
7.2   Applications in Business and Economics 7.2 7.2
7.3   Integration By Parts 7.3 7.3
Chapter 7 Test  
Final for Business Calculus  
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