Service from Sungkyunkwan University BK21 Math Modeling HRD Division, Copyright 

http://bkmath.skku.ac.kr/  .

 

Engineering Math-1

Lecture notes 2011 spring semester

 

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    1.2 Direction Fields

    1.3 Separable ODEs

    1.4 Exact ODEs

    1.6 Orthogonal Trajectories

    1.7 Existence and Uniqueness Theorems

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    6.7 Systems of ODEs

    6.8 Laplace Transform: General Formulas

    6.9 Table of Laplace Transforms

    9.1 Vectors in 2-Space and 3-Space

    9.2 Inner Product

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    2.1 Homogeneous Linear ODEs of Second Order

    2.2 Homogeneous Linear ODEs with Constant Coefficients

    2.3 Differential Operators

    2.4 Modeling: Free Oscillations

    2.5 Euler-Cauchy Equations

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    +Children's Day 

    +Buddha's Birthday

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    2.6 Existence and Uniqueness of Solutions

    2.7 Nonhomogeneous ODEs

    2.8 Modeling: Forced Oscillations

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    9.3 Vector Product

    9.4 Vector and Scalar Functions and Fields

    9.5 Curves. Arc Length. Curvature. Torsion

    9.7 Gradient of a Scalar Field

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    2.9 Modeling: Electric Circuits

    2.10 Solution by Variation of Parameters

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    9.8 Divergence of a Vector Field

    9.9 Curl of a Vector Field

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    3.1 Homogeneous Linear ODEs

    3.2 Homogeneous Linear ODEs with Constant Coefficients

    3.3 Nonhomogeneous Linear ODEs

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    10.1 Line Integrals

    10.2 Path Independence of Line Integrals

    10.4 Green's Theorem in the Plane

    10.5 Surfaces for Surface Intefrals

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    6.1 Laplace Transform. Inverse Transform.Linearity.

    6.2 Transroms of Derivatives and Integrals.

    6.3 Unit Step Function.

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    10.6 Surface Integrals

    10.7 Triple Integrals . Divergence Theorem of Gauss

    10.8 Further Alpplications of the Divergence Theorem

    10.9 Stokes's Theorem

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    6.4 Short Impulses. Dirac's Delta Function. Partial Fractions

    6.5 Convolution. Integral Equations

    6.6 Differentiation and Intefration of Transforms

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    +Review

+Mid-term Exam +Final Exam