1 History and persopective 1.1 Brief History of the science of electromagnetism 1.2 Electromagnetism in the Standard model 2 Vector calculus 2.1 Vector algebra 2.1.1 Definitions 2.1.2 Addition and multiplication of vectors 2.1.3 Vector product identities 2.1.4 Geometric meanings 2.2 Vector differential operators 2.2.1 Gradient of a scalar function 2.2.2 Divergence of a vector function 2.2.3 Curl of a vector function 2.2.4 Del identities 2.3 Integral theorems 2.3.1 General deriations 2.3.2 Stoke`s theorem 2.3.3 Vector calculus in fluid mechanics 2.4 Curvilinerar coordinates 2.4.1 General derivations 2.4.2 Cartesian,Cylindrical,and spherical coordinates 2.5 The Helmholtz Theorem 3 Basic principles of electrostatiple 3.1 Coulomb`s Law 3.1.1 The superposition principle 3.2 The electric field 3.1.1 Definition 3.1.2 Charge as the source of 3.1.3 Field of a Charge continuum 3.3 Curl and Divergence of E 3.3.1 Field Theory versus Action at a distance 3.3.2 Boundary conditions of the electrostatic field 3.4 The integral form of Gauss`s law 3.4.1 Flux and Charge 3.4.2 Proof of gauss`s law 3.4.3 Calculations Based on gauss`s law …… 4 Electrostatics and conductors 5 General methods for laplace`s equation 6 Electrostatics and dielectrics 7 Electric currents 8 Magnetostatics 9 Magnetic Fields and matter 10 Electromagnetic induction 11 The maxwell equations 12 Electromagnetism and relativity 13 Electromagnetism and optics 14 Wave Guides and transmission lines 15 Radiation of electromagnetic waves A Electric and magnetic units B The Helmholtz Theorem Index