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Chapter 1 Introduction
1.1 GETTING STARTED
1.2 BUILT-IN OBJECTS
1.3 FUNCTIONS
1.4 SIMPLE PLOTTING
1.5 GOOD HABITS FOR WRITING NOTEBOOKS
1.6 PHYSICS EXAMPLE
1.7 GETTING HELP
1.8 CHAPTER SUMMARY

Chapter 2 Solving Algebraic Equations
2.1 SYNTAX FOR EQUATIONS AND SOLUTIONS
2.2 LIST MANIPULATIONS
2.3 SYSTEMS OF EQUATIONS
2.4 COMPLEX NUMBERS
2.5 PHYSICS EXAMPLES
2.6 CHAPTER SUMMARY

Chapter 3 Derivatives, Integrals, and Series
3.1 DERIVATIVES.
3.2 INDEFINITE INTEGRALS
3.3 DEFINITE INTEGRALS
3.4 NUMERICAL INTEGRATION
3.5 POWER SERIES
3.6 PHYSICS EXAMPLES
3.7 CHAPTER SUMMARY

Chapter 4 Differential Equations: Analytic Solutions
4.1 FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS
4.2 SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS
4.3 SIMULTANEOUS DIFFERENTIAL EQUATIONS
4.4 PARTIAL DIFFERENTIAL EQUATIONS
4.5 PHYSICS EXAMPLES
4.6 CHAPTER SUMMARY

Chapter 5 Differential Equations: Numerical Solutions
5.1 ORDINARY DIFFERENTIAL EQUATIONS
5.2 PARTIAL DIFFERENTIAL EQUATIONS
5.3 PLOTTING IN THREE DIMENSIONS
5.4 PHYSICS EXAMPLES.
5.5 CHAPTER SUMMARY

Chapter 6 Vectors and Matrices
6.1 VECTORS AND MATRICES AS LISTS
6.2 LOGICAL EXPRESSIONS AND OPERATIONS
6.3 VECTOR OPERATIONS
6.4 MATRIX OPERATIONS
6.5 EIGENVALUE PROBLEMS
6.6 PHYSICS EXAMPLES
6.7 CHAPTER SUMMARY

Chapter 7 Basic Data Analysis
7.1 NUMBERS IN LISTS
7.2 SELECTING DATA SEGMENTS
7.3 READING DATA FROM A FILE
7.4 MAKING HISTOGRAMS
7.5 PHYSICS EXAMPLE
7.6 CHAPTER SUMMARY

Chapter 8 Fitting Data to Models
8.1 LINEAR FITTING
8.2 NONLINEAR FITTING
8.3 HANDLING DATA WITH ERROR BARS
8.4 PHYSICS EXAMPLE
8.5 CHAPTER SUMMARY.

Chapter 9 Numerical Manipulations
9.1 SIGNIFICANT FIGURES
9.2 NUMERICAL SOLUTIONS TO ALGEBRAIC EQUATIONS
9.3 WORKING WITH UNITS
9.4 ACCESS TO DATABASES
9.5 PHYSICS EXAMPLES
9.6 CHAPTER SUMMARY

Chapter 10 Random Numbers
10.1 GENERATING RANDOM NUMBERS
10.2 MONTE CARLO TECHNIQUES
10.3 PROBABILITY DISTRIBUTIONS
10.4 PHYSICS EXAMPLE
10.5 CHAPTER SUMMARY

Chapter 11 Animation
11.1 SCOPING
11.2 PLOTS IN MOTION
11.3 DRAWING GEOMETRIC SHAPES
11.4 CARTOON ANIMATION
11.5 PHYSICS EXAMPLES
11.6 CHAPTER SUMMARY

Chapter 12 Advanced Plotting and Visualization.
12.1 OPTIONS FOR 2D PLOTS
12.2 OPTIONS FOR 3D PLOTS
12.3 CONTOUR AND DENSITY PLOTS
12.4 VECTOR DIFFERENTIAL CALCULUS
12.5 VISUALIZING VECTOR FIELDS
12.6 PHYSICS EXAMPLES
12.7 CHAPTER SUMMARY