MATHEMATICA PROGRAMS

click here for Mathematica and LaTeX templates (as well as an introductory video)

Here is a Mathematica file of code for problems in the book (with comments), as well as some suggested problems you should try (click here for Mathematica notebook, and click here for a pdf).

• Calculus I/II programs:
  • Drowning Swimmer
  • L'Hopital's Rule
  • Mean Value Theorem and Taylor's Theorem
  • Plotting Functions, Derivatives and Tangent Lines
  • Related Rates (cone)
  • Squeeze Theorem
  • Zooming in and out of plots
  • Comparing fit of Taylor series
  • Mathematica program for Monte Carlo experiments

   

• Calculus III programs
  • Contour plots and level curves
  • Plotting tangent lines and planes
  • Parametric plots: circles on circles
  • Chain rule in art forgeries and sabermetrics
  • Military warfare
    • Battle of Trafalgar (differential equation program written for Math 209)
    • Deploying forces on the Earth (Lagrange Multipliers)

• Complex Analysis Programs
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