Service from Sungkyunkwan University BK21 Math Modeling HRD Division, Copyright

 Engineering Math-1 Lecture notes 2011 spring semester

 Engineer_math_1week           1.2 Direction Fields 1.3 Separable ODEs 1.4 Exact ODEs 1.6 Orthogonal Trajectories 1.7 Existence and Uniqueness Theorems Engineer_math_9week           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 Engineer_math_2week           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 Engineer_math_3week           2.6 Existence and Uniqueness of Solutions 2.7 Nonhomogeneous ODEs 2.8 Modeling: Forced Oscillations Engineer_math_11week           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 Engineer_math_12week           9.8 Divergence of a Vector Field 9.9 Curl of a Vector Field Engineer_math_5week           3.1 Homogeneous Linear ODEs 3.2 Homogeneous Linear ODEs with Constant Coefficients 3.3 Nonhomogeneous Linear ODEs Engineer_math_13week           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 Engineer_math_6week           6.1 Laplace Transform. Inverse Transform.Linearity. 6.2 Transroms of Derivatives and Integrals. 6.3 Unit Step Function. Engineer_math_14week           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