← Parminces
Kreyszig, 10th Edition (2011)

Advanced Engineering
Mathematics

The engineer's mathematical bible, rebuilt as interactive lessons. From first-order ODEs to complex analysis, with live simulations of every major concept.

7
Topics
40+
Simulations
70+
Quizzes
Part A: Ordinary Differential Equations
Chapters 1–2

First-Order ODEs

Direction fields, separable equations, exact ODEs, integrating factors, Euler's method.

Chapters 2–3

Second-Order & Systems of ODEs

Homogeneous, nonhomogeneous, undetermined coefficients, variation of parameters, phase portraits.

Chapter 6

Laplace Transforms

Transform pairs, shifting theorems, convolution, solving IVPs, transfer functions.

Part B: Linear Algebra & Vector Calculus
Chapters 7–8

Linear Algebra

Matrices, determinants, eigenvalues, diagonalization, SVD.

Chapters 9–10

Vector Calculus

Gradient, divergence, curl, line integrals, Green's, Stokes', divergence theorem.

Part C: Fourier Analysis & PDEs
Chapters 11–12

Fourier Series & PDEs

Fourier coefficients, convergence, heat equation, wave equation, separation of variables.

Part D: Complex Analysis
Chapters 13–16

Complex Analysis

Analytic functions, Cauchy-Riemann, contour integrals, residues, conformal mapping.