- Introduction to Differential Equations
- First-Order Differential Equations
- Higher-Order Differential Equations
- The Laplace Transform
- Series Solutions of Linear Differential Equations
- Vectors
- Matrices
- Systems of Linear Differential Equations
- Systems of Nonlinear Differential Equations
- Vector Calculus
- Orthogonal Functions and Fourier Series
- PDE - Parabolic-Type Problems
- PDE - Hyperbolic-Type Problems
- PDE - Elliptic-Type Problems
- D.G. Zill and W.S. Wright, Advanced Engineering Mathematics, 7th ed., 2020.
- S.J. Farlow, Partial Differential Equations for Scientists and Engineers, Reprint ed., 1993.
- H.F. Weinberger, A First Course in Partial Differential Equations with Complex Variables and Transform Methods, 1965.