Service from Sungkyunkwan University BK21 Math Modeling HRD Division, Copyright

 Engineering Math-1 Lecture notes 2011 spring semester

 1.2 Direction Fields 1.3 Separable ODEs 1.4 Exact ODEs 1.6 Orthogonal Trajectories 1.7 Existence and Uniqueness Theorems 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 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 Engineer_math_10week +Children's Day  +Buddha's Birthday 2.6 Existence and Uniqueness of Solutions 2.7 Nonhomogeneous ODEs 2.8 Modeling: Forced Oscillations 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 Engineer_math_4week 2.9 Modeling: Electric Circuits 2.10 Solution by Variation of Parameters 9.8 Divergence of a Vector Field 9.9 Curl of a Vector Field 3.1 Homogeneous Linear ODEs 3.2 Homogeneous Linear ODEs with Constant Coefficients 3.3 Nonhomogeneous Linear ODEs 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 6.1 Laplace Transform. Inverse Transform.Linearity. 6.2 Transroms of Derivatives and Integrals. 6.3 Unit Step Function. 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 Engineer_math_7week 6.4 Short Impulses. Dirac's Delta Function. Partial Fractions 6.5 Convolution. Integral Equations 6.6 Differentiation and Intefration of Transforms Engineer_math_15week +Review +Mid-term Exam +Final Exam