Hermitian Forms, Similar Matrices, Eigenvalue Basis, Diagonal Formsįunctions: Dimensions, Append, AppendTo, Do, Mean, Standard Deviation, ListPlot, Table, Graphics 'MultipleListPlot, Fit. Matrix Eigenvalues: Eigenvalue/Eigenvector Definitions, Invariants, Principal Directions and Values, Symmetric, Skew-symmetric, and Orthogonal Systems, Orthogonal Transformations Sections 6.5, 6.6, 6.7, and 6.8.įunctions: Inverse, Transpose, Eigensystem, Matrix Multiplication.Ĭomplex Numbers: Complex Plane, Addition and Multiplication, Complex Conjugates, Polar Form of Complex Numbers, Powers and Roots, Exponentiation, Hyperbolic and Trigonometric Forms
Linear Algebra: Solutions to Linear Systems of Equations, Determinants, Matrix Inverses, Linear Transformations and Vector Spaces Linear Algebra: Matrix Operations, Interpretations of Matrix Operations, Multiplication, Transposes, Index Notation Kreyszig and Norminton: sections 1.4.2, 1.7.1.įunctions: Integrate, Simplify, NIntegrate, Plot, Plot3D, ContourPlot. Mathematica®: Functional Programming, Packages, and File Input/Output Mathematica®: Symbolic and Numeric Calculations, Linear Algebra, Roots of Equations Mathematica® Graphics: Basic Plotting, Data, Two- and Three-dimensional Plotting, Graphics Primitives, Formatting Introduction to Mathematica®, Assignment and Evaluation, Rules and Replacement, Procedural and Functional Programming
Course Organization and Introduction to Mathematica®