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Chapter 1 Problem Solving, Functions And Models
Section 1.1: Mathematical ModelingSection 1.1: Problem Solving
Section 1.2: Function Notation
Section 1.2: What Are Domains And Ranges?
Section 1.2: Function Basics
Section 1.3: Linear Functions
Section 1.3: How Do You Graph Linear Functions?
Section 1.4: Exponential Growth
Section 1.4: Percentage Changes
Section 1.4: Recognizing A Quadratic Equation
Section 1.5: Linear, Quadratic, And Cubic Functions
Section 1.5: Graphing Cubic Polynimials
Chapter 2 Rates Of Change
Section 2.1: Average Rate Of ChangeSection 2.2: The Slope Of A Curve At A Point On The Curve
Section 2.3: The Derivative
Section 2.4: Differentiation Rules
Section 2.4: Methods Of Finding The Derivative Function
Section 2.4: Interpretation Of The Derivative
Section 2.5: General Laws Of Differentiation
Section 2.5: Composite Functions
Section 2.6: The Chain Rule
Section 2.6: Chain Rule Applications
Chapter 3 Single-Variable Optimization And Analysis
Section 3.1: Finding Local ExtremaSection 3.2: Maxima and Minima
Section 3.3: Second Derivative Test
Section 3.4: Applied Maximum And Minimum Problems
Section 3.4: Wiley Coyote, Max And Min Problem
Section 3.4: Maximizing Profit By Controlling Price
Chapter 4 Continuous Probability And Integration
Section 4.1: Continuous Random VariablesSection 4.1: Probability Density Functions
Section 4.2: Estimate The Area Under A Curve
Section 4.5: Definite Integral Of A Function
Section 4.5: The Fundamental Theorem Of Calculus
Section 4.6: Improper Integrals
Section 4.6: Practice Problems For The Area Between Curves
Section 4.7: Computing The Median
Section 4.7: The Mean
Section 4.7: Mean, Median, Variance And Standard Deviation
Chapter 5 Multivariable Models from Verbal Descriptions:
Interest, NPV, SSE
Section 5.2: Revenue Function
Section 5.3: Compounding
Section 5.3: Simple Interest Vs Compound Interest
Section 5.3: Calculating Simple Interest
Section 5.4: Use Of Present Value In Financial Statements
Section 5.4: Future Value Annuity Example
Section 5.4: Time Value Of Money
Chapter 6 Multivariate Models from Data: Regression and Statistics
Section 6.1: Simple Linear RegressionSection 6.2: Calculating The Expected Value And Standard Deviation
Section 6.2: Means
Section 6.3: Coefficient Of Determination
Section 6.4: Optimal Portfolio Control
Section 6.4: Risk Management
Chapter 7 Matrices and Solving Systems of Equations
Section 7.1: Matrices And Matrix OperationsSection 7.2: Addition And Multiplication Of Matrices
Section 7.2: The Transpose Of A Matrix
Section 7.2: Multiplication Of Matrices
Section 7.3: Systems Of Linear Equations
Section 7.3: Linear Equations Solver
Section 7.4: Inverse Matrix Calculator
Section 7.4: Matrix Inverses
Chapter 8 Unconstrained Optimization of Multivariable Functions
Section 8.1: Use Of Cobb-Douglas Production Function In Real LifeSection 8.1: Partial Derivatives
Section 8.1: Production Under Pure Competition : The Cobb-Douglas Function
Section 8.2: Finding Local Extrema
Section 8.4: The Second Derivative Test With Minnie & Max
Section 8.5: Least Squares Analysis
Chapter 9 Constrained Optimization and Linear Programming
Section 9.1: The LaGrange Multiplier Method ProblemsSection 9.2: The Simplex Method Algorithm
Section 9.2: Introduction To Linear Programming
Section 9.3: The Simplex Method Algorithm
Section 9.3: Simplex Method Outline
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©1998 Prentice-Hall, Inc. A Simon & Schuster Company Upper Saddle River, New Jersey 07458 Updated Mar 11, 1998 |