Content:
Front Matter, Page iii
Copyright, Page iv
Contents of Mathematica NoteBooks for Calculus Using Mathematica, Pages xv-xxii
Preface, Pages xxiii-xxiv
Acknowledgments, Page xxv
CHAPTER 1 - Introduction, Pages 1-11
CHAPTER 2 - Using Calculus to Model Epidemics, Pages 15-29
CHAPTER 3 - Numerics, Symbolics and Graphics in Science, Pages 31-48
CHAPTER 4 - Linearity vs. Local Linearity, Pages 49-60
CHAPTER 5 - Direct Computation of Increments, Pages 61-84
CHAPTER 6 - Symbolic Differentiation, Pages 85-103
CHAPTER 7 - Basic Applications of Differentiation, Pages 105-122
CHAPTER 8 - The Natural Logarithm and Exponential, Pages 123-135
CHAPTER 9 - Graphs and the Derivative, Pages 137-159
CHAPTER 10 - Velocity, Acceleration and Calculus, Pages 161-168
CHAPTER 11 - Maxima and Minima in One Variable, Pages 169-199
CHAPTER 12 - Discrete Dynamical Systems, Pages 201-220
CHAPTER 13 - Basic Integration, Pages 223-248
CHAPTER 14 - Symbolic Integration, Pages 249-268
CHAPTER 15 - Applications of Integration, Pages 269-282
CHAPTER 16 - Basic Vector Geometry, Pages 285-319
CHAPTER 17 - Analytical Vector Geometry, Pages 321-341
CHAPTER 18 - Linear Functions and Graphs in Several Variables, Pages 343-358
CHAPTER 19 - Differentiation of Functions of Several Variables, Pages 361-387
CHAPTER 20 - Maxima and Minima in Several Variables, Pages 389-410
CHAPTER 21 - Continuous Dynamical Systems, Pages 413-446
CHAPTER 22 - Autonomous Linear Dynamical Systems, Pages 447-467
CHAPTER 23 - Equilibria of Continuous Dynamical Systems, Pages 469-489
CHAPTER 24 - Geometric Series, Pages 493-506
CHAPTER 25 - Power Series, Pages 507-522
CHAPTER 26 - The Edge of Convergence, Pages 523-530
Index, Pages 531-532
