Engineering Mathematics with Mathematica

Part 1 Linear algebra: 1 About Mathematica: goals; about Mathematica; basic algebra and calculus operations; plotting 2D graphics; plotting 3D graphics. 2 Lab I - Matrices: laboratory goals. 3 Systems of equations: laboratory goals; linear equations; non-linear equations; graphical and numerical solutions; exercises. Patr 2 Ordinary differential equations: 4 Second-order constant-co-efficient ODEs: laboratory goals; general solutions; using initial conditions; damped motion; forced motion; exercises. Part 3 Boundary value problems: 5 Fourier series: laboratory goals; Fourier sine series; Fourier cosine series; the Fourier transform package; Fourier series; exercises. 6 The heat equations: laboratory goals; uniform thin rod; asymmetric initial temperature; displaying heat flow dynamics; discussion; exercises. 7 The vibration annulus: laboratory goals; description of the annulus; separation of the variables solution; determination of the Eigenvalues; sketching the Eigenmodes; exercises. Part 4 Complex variables: 8 Complex variables: laboratory goals; manipulating complex numbers; complex numbers; exercises. Part 5 Vector calculus: 9 Vector functions of a single variable: laboratory goals; three-dimensional particle motion; the TNB co-ordinate system; curvature and torsion; exercises.