Advanced Engineering Mathematics in plain view

Chapter 1. Vectors

• Vectors (1.A.pdf, 1.B.pdf)

Chapter 2. Vector Calculus

• Motions (1.A.pdf, 1.B.pdf)

• Derivatives (2.A.pdf, 2.B.pdf)

• Divergence and Curl (3.A.pdf, 3.B.pdf)

• Line Integral (4.A.pdf, 4.B.pdf)

• Double Integral (5.A.pdf, 5.B.pdf)

• Surface Integral (6.A.pdf, 6.B.pdf)

• Triple Integral (7.A.pdf, 7.B.pdf)

Chapter 3. Fourier Analysis

• Complex Numbers (1.A.pdf, 1.B.pdf)

• Fourier Series (2.A.pdf, 2.B.pdf)

• Fourier Transform (3.A.pdf, 3.B.pdf)

Chapter 4. Complex Analysis

• Complex Functions (1.A.pdf, 1.B.pdf, 1.C.pdf)
• Complex Integrals (2.A.pdf, 2.B.pdf, 2.C.pdf)
• Complex Series (3.A.pdf, 3.B.pdf, 3.C.pdf)
• Residue Integrals (4.A.pdf, 4.B.pdf, 4.C.pdf)

• Complex Exponential and Logarithm (5.A.pdf, 5.B.pdf)
• Conformal Mapping (6.A.pdf, 6.B.pdf)
• Complex Trigonometric and Hyperbolic (7.A.pdf, 7.B.pdf)

Chapter 5. Ordinary Differential Equations

• Introduction to Differential Equation (0.A.pdf, 0.B.pdf) (0.T.pdf)
• First-Order Differential Equation (1.A.pdf, 1.B.pdf), (1.P.pdf, 1.T.pdf)
• Second-Order Differential Equation (2.A.pdf, 2.B.pdf), (2.P.pdf)
• Higher-Order Differential Equation (3.A.pdf, 3.B.pdf)
• Series Solutions
• Numerical Solutions

• Systems of Linear Differential Equations
• Systerms of Non-linear Differential Equations

Chapter 7. Laplace Transform

• Definitions (1.A.pdf)
• Inverse Transform (2.A.pdf)
• Properties (3.A.pdf)
• Example Pairs (4.A.pdf)
• LTI Systems (5.A.pdf)
• Bi-lateral Transform

Chapter 8. z-Transform

• Definitions
• Inverse Transform
• Properties
• Example Pairs
• Bi-lateral Transform

Chapter 9. Partial Differential Equations

• Boundary Value Problem (BVP) in Rectangular Coordinates
• Boundary Value Problem (BVP) in Other Coordinates
• Integral Transform Method
• Numerical Solutions

External Links

• Paul's Online Math Notes
• Links to Visual Complex Analysis
• Complex Analysis Project by John H. Mathews