EngMath

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Engineering Mathematics Lecture Notes

• 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

• Supplements

References

• 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.