Chapter 1:Introduction Vector Analysis 1.教学目标 Grasp the vector algebra needed through the whole course 2.教学重难点 Operators:Gradient.Divergence and Curl:physical understanding 3.教学内容 2) 3)Principal Events in the story of the tromagnetic field.How optics.electricity. re co rody 4④ nating development in the field of 1 ve Revic hale conp n 2 Math 2) o Additio 一caneaorCfpeOoaleitofectors.bicfntotdctionofienotscalrtpitepotdhcts roduce del operator Divergence operation.Curl operation.Scalar-(Vector-)type operation.Physical 4) eanin g and gec eorem.Required.Mention its mathematical proof(no required) 7×=0(×A)=0V×(×A)=(.A)-A Position vector related derivation Delta function and important relations /-. .3 --4πd(f)is required 4) Other coordinate system Cylindrical coordinate: 88* 10 r0g%+ sin 4.教学方法 Lectures,discussions,etc Chapter 1: Introduction & Vector Analysis 1.教学目标 Grasp the vector algebra needed through the whole course 2.教学重难点 Operators: Gradient, Divergence and Curl; physical understanding 3.教学内容 Session 1 Introduction to Electrodynamics 1) What is electrodynamics. Being a major core, what is its relationship to general physics courses and major selective course. 2) Prerequisites, knowledge required before this course. Urge students to get prepared with basic knowledge of optics and electromagnetism and mathematical tools. 3) Principal Events in the story of the electromagnetic field. How optics, electricity, magnetism were combined to become electrodynamics. 4) Electrodynamics is still development. The most fascinating development in the field of electromagnetism. Session 2 Mathematics concepts needed 1) Scalar and Vector. Magnitude and unit vector. Review Basic concept and physical quantities 2) Vector Operations: Basic operations required and practice, including: Addition of vectors: commutative and Associative; Multiplication by a scalar; Dot product and its geometrical definition; Cross product of vectors, brief introduction of tensor; Scalar triple products and vector triple products Session 3 Field Operation 1) Concept of fields. Emphasize on physical examples. Introduce del operator 2) Gradient operation. Its physical interpretation and mathematical operation 3) Divergence operation. Curl operation. Scalar- (Vector-) type operation. Physical meaning and geometrical picture. 4) Gauss theorem and Stokes theorem. Required. Mention its mathematical proof (not required) Session 4 Derivation of Important Equations 1) Derive very important mathematical equations to be used in class   f 0      A 0     2      A AA   2) Position vector related derivations. 3) Delta function and important relations 2 3 1 4 () r r r r                is required. 4) Other coordinate systems Cylindrical coordinate: 1 ˆ ˆ ˆ r z e ee rr z          Spherical coordinate: 1 1 ˆ ˆ ˆ sin r ee e rr r             4.教学方法 Lectures, discussions, etc