Courses Taught
CHE 321: Chemical Reaction Engineering (Spring 2019)
CHE 445: Mathematical Methods in Chemical Engineering (Fall 2016, 2017, 2018)
This is one the most comprehensive courses on applied mathematics focused on the formulation and analytical solutions of the chemical engineering problems. In this course, students will learn analytical techniques to solve linear and nonlinear equations, ordinary differential equations, partial differential equations, Integral equations, Integrodifferential equations and stochastic differential equations. Following topics are covered in this course

Linear Algebra  Determinants, Matrix theory, Dimensional Analysis, Eigenvalues and Eigenvectors, Solution of Linear Systems, Analysis of FirstOrder Reactions, and Distillation Columns

Optimization  Linear Programming, Simplex Method, KKT Conditions, Quadratic Programming, Steepest Descent, Conjugate Gradient, Newton's Method, Geometric Programming, Least Square Method, Sequential Quadratic Programming

Differential Equations  Method of Series, Method of Frobenius, Bessel's Equation, Hypergeometric Differential Equation, StrumLiouville Theory, Finite Fourier Transform, Method of Superimposition, Integrating Factors, Method of Variation of Parameters, Green's Function, Infinite Fourier Transform

Complex Analysis  CauchyRiemann Conditions, Cauchy's Theorem, Residues, Jordan's Lemma, Laplace Transform, Inversion Integral

Theory of FirstOrder Linear PDEs  Method of Characteristics

Theory of NonLinear PDEs

NonLinear Dynamics  Stability Analysis, Phase Portraits, Lyapunov Stability, Bifurcation