以下課程該如何選擇呢? - 經濟

想請教一下板上大大們

我目前是個即將升上大四 想要申請國內經研所的學生


大一到大三也只修了 微積分、統計學和計量經濟學

也已經確定在下學期選擇線性代數、數理統計兩門課


因為想要充實自己往後(如果有機會XD)的實力

再加上以下的課程有衝堂的問題 必須要從中選擇一門課

所以附上課程大綱供參考

希望能給我一些建議~ 謝謝!!

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(一)微分方程與複變函數，是電機系開的一學期課程

1. First-Order ODEs (Chap. 1)
2. Second-Order Linear ODEs (Chap. 2)
3. Higher Order Linear ODEs (Chap. 3)
4. Systems of ODEs. Phase Plane. Qualitative Methods (Chap. 4)
5. Series Solutions of ODEs. Special Functions (Chap. 5)
6. Laplace Transforms (Chap. 6)
7. Fourier Series, Integrals and Transform (Chap. 11)
8. Partial Differential Equations (Chap. 12)
9. Complex Numbers and Functions (Chap. 13)
10. Complex Integration (Chap. 14)
11. Power Series, Taylor Series (Chap. 15)
12. Laurent Series. Residue Integration (Chap. 16)

Textbook: E. Kreyszig, Advanced Engineering Mathematics,
9th Ed., John Wiley & Sons, Inc., 2006.

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(二)工程數學，是資工系開的一學期課程

1. First order and second order differential equations
2. Laplace transform
3. Series solutions for differential equations
4. Systems of linear differential equations
5. Systems of nonlinear differential equations
6. Fourier series

Textbook: Peter V. O'Neil, "Advanced Engineering Mathematics",
5th edition, Thomson Brooks/Cole.

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(三)工程數學一，是動機系開的一學年課程

1. First-Order ODEs
2. Second-Order linear ODEs
3. Higher Order linear ODEs
4. Serier Solution of Differential Equations, Special Function
5. Laplace Transforms
6. Vector Differential Calculus, Grad, Div, Curl
7. Vector Integral Calculus. Integral Theorems

Textbook:
Kreyszig, E., "Advanced Engineering Mathematics", 9th edition,
John Wiley & Sons, Inc. (2006)

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(四)數值分析一，是工科系開的一學期課程

1.IEEE Standard 754, error analysis

2.Root finding & fixed-point problems: bisection method, Newton's method,
secant method, method of false position, Mueller's method, Modified Newton's
method, order of convergence, Aitken's method, Steffensen's method

3.Lagrange interpolation, Neville's method, Newton's
divided-Difference(forward, backward), Hermit interpolation, natural and
clamped cubic spline interpolation

4.Gaussian elimination and backward substitution, pivoting strategies, matrix
inversion, determinant, LU factorization (Dolittle, Crout, Cholesky), LDLt
Factorization, LLt Factorization.

5.(n+1)-point formula to approximate first order derivative, Richardson's
extrapolation, Trapezoidal rule and Simposon's rule for integration,
composite method for integration, Romberg integration, adaptive quadrature
method, Gaussian quadrature, multiple integrals, improper integrals.

6.Euler's method, higher-order Taylor method, Runge-Kutta method, Multistep
methods (Adams-Bashforth, Adams-Moulton), Higher-order equations and systems
of differential equations

7.Shooting method (nonlinear, linear), finite-difference method for linear
problem.

Textbook：Burden and Faires, Numerical Analysis,
8th ed. (Thomson 2005)




請大家給予一些意見，謝謝囉~~




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