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Pt. A. Ordinary Differential Equations
Ch. 1. First-Order Differential Equations
Ch. 2. Linear Differential Equations of Second and Higher Order
Ch. 3. Systems of Differential Equations, Phase Plane, Qualitative Methods
Ch. 4. Series Solutions of Differential Equations, Special Functions
Ch. 5. Laplace Transforms
Pt. B. Linear Algebra, Vector Calculus
Ch. 6. Linear Algebra: Matrices, Vectors, Determinants. Linear Systems of Equations
Ch. 7. Linear Algebra: Matrix Eigenvalue Problems
Ch. 8. Vector Differential Calculus. Grad, Div, Curl
Ch. 9. Vector Integral Calculus. Integral Theorems
Pt. C. Fourier Analysis and Partial Differential Equations
Ch. 10. Fourier Series, Integrals, and Transforms
Ch. 11. Partial Differential Equations
Pt. D. Complex Analysis
Ch. 12. Complex Numbers and Functions. Conformal Mapping
Ch. 13. Complex Integration
Ch. 14. Power Series, Taylor Series
Ch. 15. Laurent Series, Residue Integration
Ch. 16. Complex Analysis Applied to Potential Theory
Pt. E. Numerical Methods
Ch. 17. Numerical Methods in General
Ch. 18. Numerical Methods in Linear Algebra
Ch. 19. Numerical Methods for Differential Equations
Pt. F. Optimization, Graphs
Ch. 20. Unconstrained Optimization, Linear Programming
Ch. 21. Graphs and Combinatorial Optimization
Pt. G. Probability and Statistics
Ch. 22. Data Analysis. Probability Theory
Ch. 23. Mathematical Statistics
App. 1: References
App. 2: Answers to Odd-Numbered Problems
App. 3: Auxiliary Material
App. 4: Additional Proofs
App. 5: Tables
Index

Introduces engineers, computer scientists, and physicists to advanced math topics as they relate to practical problems. The material is arranged into seven independent parts: ODE; Linear Algebra, Vector calculus; Fourier Analysis and Partial Differential Equations; Complex Analysis; Numerical methods; Optimization, graphs; Probability and Statistics.