图书简介

1 Functions for Modeling Data; 1.1 Functions; 1.2 Multivariable Functions; 1.3 Linear Functions; 1.4 Exponential Functions; 1.5 Inverse Functions; 1.6 Logarithmic Functions; 1.7 Trigonometric Functions; 2 Mathematical Modeling; 2.1 Modeling with Linear Functions; 2.2 Modeling with Exponential Functions; 2.3 Modeling with Power Functions; 2.4 Modeling with Sine Functions; 2.5 Modeling with Sigmoidal Functions; 2.6 Single Variable Modeling; 2.7 Dimensional Analysis; 3 The Method of Least Squares; 3.1 Vectors and Vector Operations; 3.2 Linear Combinations of Vectors; 3.3 Existence of Linear Combinations; 3.4 Vector Projection; 3.5 The Method of Least Squares; 4 Derivatives; 4.1 Rates of Change; 4.2 The Derivative as a Function; 4.3 Derivatives of Modeling Functions; 4.4 Product and Quotient Rules; 4.5 The Chain Rule; 4.6 Partial Derivatives; 4.7 Limits and the Derivative; 5 Optimization; 5.1 Global Extreme Values; 5.2 Local Extreme Values; 5.3 Concavity and Extreme Values; 5.4 Newton’s Method and Optimization; 5.5 Multivariable Optimization; 5.6 Constrained Optimization; 6 Accumulation and Integration; 6.1 Accumulation; 6.2 The Definite Integral; 6.3 First Fundamental Theorem; 6.4 Second Fundamental Theorem; 6.5 The Method of Substitution; 6.6 Integration by Parts

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