1. PHY 301: MATH AND NUM TECH Ch 0: Introduction Chapter 0: Introduction 0.AOverview 0.BHome Page, Grading, Mathematica etc…

2. PHY 301: MATH AND NUM TECH Ch 0.A: Course Overview Course Overview Part A:Introduction to Numerical Techniques and Computer Algebra 1.Mathematica Basics 2.Programming : Basic structures 3.Applications of Programming: A.Logistic Map and Chaos B.Numerical Integration Part B:Linear Algebra: Vectors and Transformations 4.Vector Spaces: A.Definitions: Vectors, Bases, Components, Norms B.Application: Euclidian Spaces 5.Linear Transforms and Matrix Representation A.Vector Transforms B.Basis Transforms 6.Matrix Algebra 7.Inverse Matrices and Determinants A.n=2 case B.General Case 8.Applications of Inverse Matrices: Solutions of Linear Equations 9.The Eigenvalue Problem 10.Application of the Eigenvalue problem: Solution of Differential Equations

3. PHY 301: MATH AND NUM TECH Ch 0.A: Course Overview Course Overview Part D:The Mathematical Expression of Physical Laws 12.Differential Operators and their Integrations A.Del Operator B.Curvilinear Coordinates C.Gauss and Stokes Theorems Part E:Mathematical Solutions to the Laws of Physics (Optional) 13.Ordinary Differential Equation 14.Nonlinear Differential Equations 15.Transforms Part C: 11.Complex Numbers

4. PHY 301: MATH AND NUM TECH Ch 0.B: Homepage… Homepage, Grading, Mathematica…. Mathematica: http://www.ship.edu/microlabs/software/mathematica/http://www.ship.edu/microlabs/software/mathematica/ Course homepage: http://webspace.ship.edu/alcres/301/home.htmhttp://webspace.ship.edu/alcres/301/home.htm