課程資訊

ENGINEERING MATHEMATICS (2)

95-2

ME2002

502 20002

01

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/952fuling_eng_math

** Linear algebra:
Review, concepts & applications
Vector space (linear space), eigenvalue problem, diagonalization
Systems of linear differential equations
Nonlinear differential equations & qualitative methods

** Fourier analysis:
Fourier series and integrals
Fourier transformation (vs. Laplace transformation)
Sturm-Liouville theory (eigenfunction expansions)
Orthogonal expansions (special functions: Bessel, Legendre)
Other transformations (Hankel,

** Vector analysis:
Curves, surfaces, tangents, and normals
Vector differential / integral calculus
Line and surface integrals; gradient, divergence, and curl
Green’s thm, Gauss (divergence) thm, Stokes thm, and potential theory

**PDEs:
initial & boundary value problems
bounded vs. unbounded domain
separation of variables and integral transformation method
heat & wave eqn

** Complex variables:
complex functions
Cauchy integral thm, residue thm, and applications
Conformal mapping & special applications

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Office Hours

(僅供參考)

 No. 項目 百分比 說明 1. in-class exams 30% after each topic 2. final 30% open book 3. HWs 40% 4. assignment 0% additional 15% is possible based on how well you do on this optional HW.

 課程進度
 週次 日期 單元主題 第6週 4/02,4/04 Vector analysis 第7週 4/09,4/11 Vector field differentiation (non-inertial reference frame, gradient, divergent and curl of a vec. field) Exam #2 on Fourier analysis