(Fall Semester) Weeks 1-8, Tue. and Fri. 7-8; E. Bld. 1 - E. 334 (Xingqing Campus).
Erwin Kreyszig. Advanced Engineering Mathematics, 10th ed.
Coursework, class participation, and a final assessment; detailed requirements follow the course arrangements.
For questions, contact the instructors or use the contact page to arrange a meeting.
A 32-hour, 2-credit major basic course for second-year electrical engineering undergraduates at Xi'an Jiaotong University (Fall 2026). The course connects complex analysis, Fourier and Laplace transforms, ODEs, systems, and control with engineering problems.
| Module | Chapter | EE connection | Links |
|---|---|---|---|
| L01 | Complex numbers and complex plane | Phasors and impedance | Source | PDF |
| L02 | Limits, continuity, derivatives, and analyticity | Harmonic potentials | Source | PDF |
| L03 | Elementary complex functions | Damped oscillations and phase | Source | PDF |
| L04 | Integrals and Cauchy theorems | Path integrals and potentials | Source | PDF |
| L05 | Power series and Taylor expansions | Local approximation | Source | PDF |
| L06 | Laurent series and residues | Modal amplitudes | Source | PDF |
| L07 | Conformal mappings | Electrostatics and potential flow | Source | PDF |
| L08 | Applications of complex analysis | Integrals and dynamic modes | Source | PDF |
| L09 | Integral transforms and Fourier transform | Waveforms, spectra, and filtering | Source | PDF |
| L10 | Foundations of Laplace transform | Causal signals and convergence | Source | PDF |
| L11 | Laplace transform properties | Switched inputs and convolution | Source | PDF |
| L12 | Inverse Laplace transform | Pole-to-mode inversion | Source | PDF |
| L13 | Solving ODEs with Laplace transform | RLC transients | Source | PDF |
| L14 | Systems, convolutions, and PDEs | Filters and transmission lines | Source | PDF |
| L15 | Control systems and engineering applications | Feedback and stability | Source | PDF |
| L16 | Advanced topics and review | Method selection | Source | PDF |
The PDF is a complete course volume. Chapter sources and updates are maintained in the course repository.