REQUIRED BACKGROUND:
My experience is that there is a more broad range of student backgrounds in computational physics courses than in any of the department's other classes.
I will not assume you know *anything* about coding or computational methods. I will provide supplementary problems to those students who do have a deep background, so they can push forward as well.

NOTES:
SHO and Projectile
Kepler
Partial Differential Equations
Diffusion Equation
Laplace Equation
Analytic Solution to Laplace Equation

DETAILED SYLLABUS, PART ONE (Computational Physics in C):

Class/Lab One (Tuesday March 31):
Introduction to C++; Simple Practice Programs.
      For the "expert": The Collatz Conjecture; The Locker Problem
      Lab One write up

Class/Lab Two (Thursday April 2):
Introduction to C++ (continued); Geometric, Arithmetic, and Taylor Series.
      For the "expert": Intersecting lines, root finding by bisection.
      Lab Two write up

Class/Lab Three (Tuesday April 7):
Numerical Differentiation and Integration; Plotting using xmgrace.
      Lab Three write up

Class/Lab Four (Thursday April 9):
Molecular Dynamics: the harmonic oscillator.
      Lab Four write up

Class/Lab Five (Tuesday April 14):
Plotting; More molecular Dynamics: the damped oscillator and projectile motion.
      Lab Five write up

Class/Lab Six (Thursday April 16):
The Kepler problem.
      Lab Six write up

Class/Lab Seven (Tuesday April 21):
Kepler Part Two; Conservation of Energy and Angular Momentum; Condition for circular orbits.
Arrays. Diffusion equation in one dimension.
      Lab Seven write up

Class/Lab Eight (Thursday April 23):
Partial differential equations; Discretization of second derivative.
Laplace equation in one dimension.
      Lab Eight write up

Class/Lab Nine (Tuesday April 28):
Connection between diffusion and random walks.
Random number generator; Random number moments.
      Lab Nine write up
      Analytic Solution Data File

Class/Lab Ten (Thursday April 30):
Analytic solution of diffusion equation; Greens functions.
Exploring diffusion equation for different initial conditions.
Random walks.
      Lab Ten write up

Class/Lab Eleven (Tuesday May 5):
"Visual test" of random number generator. (Random numbers fall mainly in the plane.)
Using random numbers to compute a famous constant.
Laplace equation in two dimensions.
      Lab Eleven write up

Class/Lab Twelve (Thursday May 7):
Analytic solution of Laplace equation.
Iteration step is not the same as time!
A simpler example of iteration.
Analytic Solution data file
      Lab Twelve write up

Class/Lab Thirteen (Tuesday May 12):
Mathematics of eigenvalues and eigenvectors.
Eigenvalues in classical mechanics. Normal modes of diatomic molecule.
More eigenvalues in classical mechanics. Normal modes of N atom chain.
Eigenvalues in quantum mechanics.
Using Numerical Recipes function 'jacobi'.
      Lab Thirteen write up

Class/Lab Fourteen (Thursday May 14):
Participation ratio.
Matix multiplication.
      Lab Fourteen write up

DETAILED SYLLABUS, PART TWO (Computational Physics in Python):

Class/Lab Fifteen (Tuesday May 19):
Python in Interactive Mode.
      Lab Fifteen write up

Class/Lab Sixteen (Thursday May 21):
Python with scripts. More python syntax.
      Lab Sixteen write up

Class/Lab Seventeen (Tuesday May 26):
Plotting in Python; Arrays in Python; Molecular Dynamics in Python- the harmonic oscillator.
      Lab Seventeen write up

Class/Lab Eighteen (Thursday May 28):
Molecular Dynamics in Python- the anharmonic oscillator, the Kepler problem.
      Lab Eighteen write up

Class/Lab Nineteen (Tuesday-Thursday June 2-4):
More on Arrays, Diffusion Equation, Laplace Equation.
      Lab Nineteen write up