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MATH A140 - BUSINESS CALCULUS
SYLLABUS
Syllabus - N/A
TEXTBOOK
Calculus and Its Applications, 10th Edition
by Bittinger, Ellenbogen, Surgent
ISBN-13: 978-0321694331
HANDOUTS
Section 1.1 - Limits: A Numerical and Graphical Approach
Section 1.2 - Algebraic Limits and Continuity
Section 1.3 - Average Rates of Change
Section 1.4 - Differentiation Using Limits of Difference Quotients
Section 1.5 - Differentiation Techniques: The Power and
Sum-
Difference Rules
Section 1.6 - Differentiation Techniques: The Product and Quotient
Rules
Section 1.7 - The Chain Rule
Section 1.8 - Higher-Order Derivatives
Section 2.1 - Using First Derivatives to Find Maximum and Minimum
Values and Sketch Graphs
Section 2.2 - Using Second Derivatives to Find Maximum and Minimum
Values and Sketch Graphs
Section 2.3 - Graph Sketching: Asymptotes and Rational Functions
Section 2.4 - Using Derivatives to Find Absolute Maximum and
Minimum Values
Section 2.5 - Maximum-Minimum Problems; Business and Economics
Applications
Section 2.6 - Marginals and Differentials
Section 2.7 - Implicit Differentiation and Related Rates
Section 3.1 - Exponential Functions
Section 3.2 - Logarithmic Functions
Section 3.3 - Applications: Uninhibited and Limited Growth Models
Section 3.4 - Applications: Decay
Section 3.5 - The Derivatives of ax and logax
Section 3.6 - An Economics Application: Elasticity of Demand
Section 4.1 - Antidifferentiation
Section 4.2 - Antiderivatives
Section 4.3 - Area and Definite Integrals
Section 4.4 - Properties of Definite Integrals
Section 4.5 - Integration Techniques: Substitution
Section 4.6 - Integration Techniques: Integration by Parts
Section 4.7 - Integration Techniques: Tables
Section 5.1 - An Economics Application: Consumer Surplus and
Producer Surplus
Section 5.2 - Applications of the Integration of Growth and Decay
Models
Section 5.3 - Improper Integrals
Section 5.4 - Probability
Section 5.5 - Probability: Expected Value; The Normal Distribution
Section 5.6 - Volume
Section 5.7 - Differential Equations
Section 6.1 - Functions of Several Variables
Section 6.2 - Partial Derivatives
Section 6.3 - Maximum-Minimum Problems
Section 6.4 - An Application: The Least-Squares Technique
Section 6.5 - Constrained Optimization
Section 6.6 - Double Integrals