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1.1 Introduction to Functions and Relations
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Classroom Contents
Business Calculus
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- 1 1.1 Introduction to Functions and Relations
- 2 1.2 Algebra and Composition of Functions
- 3 1.3 Slope, Rates of Change, and Linear Functions
- 4 4.1, 4.2 The Exponential and Logarithmic Functions
- 5 1.4 Introduction to Limits
- 6 1.5 Functions and Continuity
- 7 1.6 Average and Instantaneous Rates of Change
- 8 7.1 Functions of Several Variables
- 9 2.1 The Derivative of a Function and Two Interpretations
- 10 2.2 Differentiating Products and Quotients
- 11 2.3 Higher-Ordered Derivatives
- 12 2.4 The Chain Rule and General Power Rule
- 13 4.3, 4.4 Differentiating the Natural Logarithm & Exponential Functions
- 14 2.5 Implicit Differentiation
- 15 7.2 Partial Derivatives
- 16 5.1 Antidifferentiation and the Indefinite Integral
- 17 5.2 Integration by Substitution
- 18 5.3 The Definite Integral
- 19 5.4, 6.1 Area of Regions in the Plane
- 20 5.6 Integration by Parts
- 21 7.6 Double Integrals as Volume
- 22 3.3 Applications of the Derivative Optimization
- 23 3.4 Applications of the Derivative in Business and Economics
- 24 6.2 Consumer's and Producer's Surplus
- 25 6.3 Annuities and Money Streams
- 26 7.7 The Average Value of a Function
