Calculus Using Mathematica. Scientific Projects and Mathematical Background

Content: 
Front Matter, Page iii
Copyright, Page iv
Preface: What good is it?, Page xi
Chapter 1 - Introduction to the Scientific Projects, Pages 1,3-6
Chapter 2 - Epidemiological Applications, Pages 7-13,15-17,19-23
Chapter 3 - Applications of The Increment Approximation , Pages 25,27-29
Chapter 4 - The Role of Rules for Derivatives, Pages 31-39
Chapter 5 - Log and Exponential Functions in Science, Pages 41,43-54
Chapter 6 - Applications to Mechanics, Pages 55-59,61-68
Chapter 7 - Optics, Pages 69,71-76
Chapter 8 - Applications in Economics, Pages 77,79-92
Chapter 9 - Applications in Ecology, Pages 93,95-107,109-114
Chapter 10 - Applications of Linear Differential Equations, Pages 115-138
Chapter 11 - Forced Linear Equations, Pages 139-157
Chapter 12 - Differential Equations from Vector Geometry, Pages 159-167,169-177,179-182
Chapter 13 - Chemical Reactions, Pages 183,185-187,189-191
Chapter 14 - More Projects, Pages 193-194
CHAPTER 1 - Introduction to the Mathematical Background, Pages 201-202
CHAPTER 2 - High School Review with Mathematica, Pages 203-212
CHAPTER 3 - Functional Identities, Pages 213-223
CHAPTER 4 - Computation of Limits, Pages 225-228
CHAPTER 5 - Derivatives as Limits, Pages 229-231
CHAPTER 6 - Differentiation Drill and Implicit Differentiation, Pages 233-237
CHAPTER 7 - Exponentials and Logarithms, Pages 239-244
CHAPTER 8 - “Epsilon - Delta” Approximations, Pages 245-257
CHAPTER 9 - The Mean Value Theorem, Pages 259-267
CHAPTER 10 - Inverse Functions and Their Derivatives, Pages 269-280
CHAPTER 11 - Taylor's Formula, Pages 281-292
CHAPTER 12 - Drill and Skill Exams on Integration, Pages 293-294
CHAPTER 13 - Theory of Integration, Pages 295-305
CHAPTER 14 - Geometric Optimization Projects, Pages 307-310
CHAPTER 15 - Least Squares Fit and Max-Min, Pages 311-314
CHAPTER 16 - Differential Equations from Increment Geometry, Pages 315-326
CHAPTER 17 - Local Max-Min and Stability of Equilibria, Pages 327-331
CHAPTER 18 - Theory of Initial Value Problems, Pages 333-344
CHAPTER 19 - Theory of Series, Pages 345-353