CS110 An Introduction to Computational Science

1. Introduction
   
   
2. Overview
   
   
3. Solving Computational Problems
   
   
4. Basic Operations in Mathematica ^®
   

1. Units of Measurement
   
   
2. Significant Figures
   
   
3. Motion in a Straight Line
   1. Linear Motion
      
   2. Free Falling Bodies
      
   
   
4. Motion in a Plane
   
   
5. Gravity and Weight
   
   

1. Fitting Curves to Data
   1. Line of Least-Squares Fit
      
   2. Linear Fitting of Curves
      
   3. Nonlinear Fitting of Curves
      
   
   
2. Difference Equations
   
   1. Generation of Values
      
   2. Solving Difference Equations
      
   3. Systems of Difference Equations
      
   
   
3. Combining Graphs
   
   
4. Local Extreme Values of a Function of One Variable
   
   
5. Linear Optimization
   
   
6. Local Extreme Values of a Function of Two Variables
   

1. The Chemical Elements
   
   
2. Balancing Chemical Equations
   
   
3. Balancing Oxidation-Reduction Equations
   
   
4. Radioactive Decay
   
   
5. Smoothing Graphs
   1. Linear Filters
      
   2. Exponential Smoothing
      
   
   
6. Series Expansions
   1. Fourier Series Expansions
      
   2. Power Series Expansions
      
   
   
7. Approximating Functions
   1. One Variable
      
   2. Multiple Variables
      
   
   

1. Reading data from a file
   
   
2. Writing data to a file
   
   
3. Describing Data
   
   
4. The Normal Probability Distribution
   
   
5. Visual Representations of Data
   
   1. Discrete distributions of data
      
   2. Continuous distributions of data
      
   
   
6. Correlation of Data
   1. Scatter Plots
      
   2. The Correlation Coefficient
      
   
   
7. Confidence Intervals
   1. The Mean
      
   2. The Variance