공업수학Ⅰ

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자연과학 >수학ㆍ물리ㆍ천문ㆍ지리 >수학
강의학기

2011년 1학기

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공학이나 물리학 등에서 나타나는 현상을 상미분 방정식(ordinary differential equations)으로 모델링하고 여러 가지 형태의 상미분 방정식의 해법에 대해 알아보며 주어진 모델에서의 상미분 방정식의 수학적인 해의 의미를 이해한다. 또한, 미분방정식의 급수해를 이해하라고 라플라스 변환 및 프리에 변환에 대해 공부한다.

차시별 강의

1.	Introduction to the Engineering Math 1	Introduction to the Engineering Math 2
2.	Introduction to D.E. & First order D.E.	Introduction to D.E. & First order D.E.
	Introduction to D.E. & First order D.E.	Introduction to D.E. & First order D.E.
3.	First order D.E.	First order D.E.
4.	First order D.E.	First order D.E.
	First order D.E.	First order D.E.
5.	Exact D.E., Substitution & Summary	Exact D.E., Substitution & Summary
	Exact D.E., Substitution & Summary	Exact D.E., Substitution & Summary
	Exact D.E., Substitution & Summary	Exact D.E., Substitution & Summary
6.	Higher order D.E.	Higher order D.E.
7.	Reduction of Orders / HLDE with constant Coefficients, Cauchy-Euler Equation / Undetermined Coefficients	Reduction of Orders / HLDE with constant Coefficients, Cauchy-Euler Equation / Undetermined Coefficients
	Reduction of Orders / HLDE with constant Coefficients, Cauchy-Euler Equation / Undetermined Coefficients	Reduction of Orders / HLDE with constant Coefficients, Cauchy-Euler Equation / Undetermined Coefficients
	Reduction of Orders / HLDE with constant Coefficients, Cauchy-Euler Equation / Undetermined Coefficients	Reduction of Orders / HLDE with constant Coefficients, Cauchy-Euler Equation / Undetermined Coefficients
8.	Variation of Parameters Mid Term	Variation of Parameters Mid Term
9.	Series Solutions	Series Solutions
10.	Introduction to Laplace Transformation	Introduction to Laplace Transformation
	Introduction to Laplace Transformation	Introduction to Laplace Transformation
	Introduction to Laplace Transformation	Introduction to Laplace Transformation
11.	Laplace transform for L(α*f(t))	Laplace transform for L(α*f(t))
12.	Examples & Additional Topics	Examples & Additional Topics
	Examples & Additional Topics	Examples & Additional Topics
13.	Introduction to Fourier Series Orthogonality & Fourier Series	Introduction to Fourier Series Orthogonality & Fourier Series
	Introduction to Fourier Series Orthogonality & Fourier Series	Introduction to Fourier Series Orthogonality & Fourier Series
14.	Fourier Series of cos / sin / complex & Freq. Spectrum	Fourier Series of cos / sin / complex & Freq. Spectrum
15.	Fourier Integral & Transform	Fourier Integral & Transform
	Fourier Integral & Transform	Fourier Integral & Transform
16.	Final Term	Final Term