Spring 2024
Calculus 2
Differential Equations
Mathematics for Engineers
Fall 2024
Calculus 2
Differential Equations
Graduation project
Mathematics for Electrical Engineers
Courses
Calculus 2 ∫
Advanced course covering integration techniques, applications of integrals, sequences and series, and parametric equations. Key topics include:
- Integration methods (by parts, partial fractions, trigonometric substitution)
- Arc length and surface area calculations
- Convergence tests for infinite series
- Taylor and Fourier series expansions
Differential Equations Δ
Comprehensive study of ordinary and partial differential equations with engineering applications:
- First-order linear and nonlinear equations
- Laplace transforms and phase plane analysis
- Stability theory and bifurcations
- Numerical methods (Euler, Runge-Kutta)
- Applications in heat transfer and oscillations
Linear Algebra ⊗
Fundamental concepts in vector spaces and matrix theory:
- Vector spaces and linear transformations
- Eigenvalues and diagonalization
- QR decomposition and singular value decomposition
- Applications in computer graphics and machine learning
- Numerical linear algebra techniques
Graduation Project ⚙️
Supervision of final year projects combining mathematical theory with practical applications:
- Machine learning algorithms and optimization
- Control systems and robotics applications
- Computational fluid dynamics simulations
- Mathematical modeling of real-world systems
- Signal processing and time-series analysis
Projects typically involve Python/R/MATLAB programming and collaboration with industry partners.