Method of Applied Mathematics I

Catalog description

Introduction to computer algebra systems and scientific programming packages to solve real world problems: Maxima/Octave/Mathematica/Maple; data visualization, solving equations, differentiation, integration, matrices and vectors; Algorithms, sequences, selections, loops, functions, numeric and string types, arrays, vectors, simulations, visualization in 2D and 3D; Applications covered to be selected from this list depending upon student interest: least squares data fitting of Dow Jones index, projectile motion, Monte Carlo simulations, fractal patterns, electric field patterns, rigid body rotations, Black–Scholes financial equation; Vector and tensor analysis, special functions, Fourier and Laplace transforms, perturbation and variational methods, asymptotic expansions, and separation of variables.