Mathematics for Engineers

Module 1: Matrix Algebra for Engineers

• Explore matrices and their properties
• Solve systems of linear equations
• Understand vector spaces, eigenvalues, and eigenvectors

Module 2: Differential Equations for Engineers

• Learn to solve first-order and second-order differential equations
• Discover the Laplace transform and series solution methods
• Study systems of differential equations and partial differential equations

Module 3: Vector Calculus for Engineers

• Understand vectors, dot product, cross product, and vector operations
• Explore multivariable integration and coordinate systems
• Learn about line integrals, surface integrals, and key theorems

Module 4: Numerical Methods for Engineers

• Gain proficiency in MATLAB and scientific computing
• Explore root finding, numerical matrix algebra, quadrature, and interpolation
• Learn about numerical solutions of ordinary and partial differential equations

Module 5: Mathematics for Engineers: The Capstone Course

This capstone course delves into computational fluid dynamics and scientific computing, offering practical insights into real-world engineering applications.