3教学内容 Section 1:Eigen-nrobleas Class 2:The characteristic eio exercises Class 3:Diagonalization of a matrix I Class 4:Diagonalization of a matrix II,exercises Class:Wore on eigeroe and diagonalization,exercises 4教学方法 Nethod of lecture and questloas between classes and exereises after classes 5.教学评价 Through the teaching of this chapter,students can ter earing koledges about eigenalues and eigevectors. 第六章0 rthogonality(小四号黑体) 1.教学目标（五号体） Learning knowledges about orthogoality. 2.教学重难点 3 What is the schuldt nrocess? 4.What is the use of orthogonal projcction? 5.Think of the difference between vector space and inmer product space? 3教学内容 Class:The Gran-Schaidt process,exercises Class 4:Inmer product spaces 4.教学方法 5教学评价 Through the teaching of this chapter,students can master orthogonality. 第七章Symetric Matrices and Quadratio Forms(小四号黑体) 1.教学目标（五号宋体） 2.教学重难点 at are the different tyes of auratie for 5.hat is the use of the principal axes theoren for quadratic forms? 3.教学内容 Class m Class3:Definition of guadratie for Class 4:The principal axes theoren,exercises 3.教学内容 Section 1: Eigen-problems Class 1: Definition of eigenvalues and eigenvectors Class 2: The characteristic equation, exercises Class 3: Diagonalization of a matrix I Class 4: Diagonalization of a matrix II, exercises Class 5: More on eigen-problems and diagonalization, exercises 4.教学方法 Method of lecture and questions between classes and exercises after classes. 5.教学评价 Through the teaching of this chapter, students can master Learning knowledges about eigenvalues and eigenvectors. 第六章 Orthogonality（小四号黑体） 1.教学目标 （五号宋体）  Learning knowledges about orthogonality. 2.教学重难点 Problems: 1. What is inner product? 2. What is orthogonality? 3. What is the Schmidt process? 4. What is the use of orthogonal projection? 5. Think of the difference between vector space and inner product space? 3.教学内容 Section 1: Inner Product and Orthogonality Class 1: Definition of inner product, length, orthogonality Class 2: Orthogonal sets, orthogonal projection, exercises Class 3: The Gram-Schmidt process, exercises Class 4: Inner product spaces 4.教学方法 Method of lecture and questions between classes and exercises after classes. 5.教学评价 Through the teaching of this chapter, students can master orthogonality. 第七章 Symmetric Matrices and Quadratic Forms（小四号黑体） 1.教学目标 （五号宋体）  Learning knowledges about symmetric matrices and quadratic forms, etc. 2.教学重难点 Problems: 1. Think of the difference in the diagonalization between common matrix and symmetric matrix? 2. What is the procedure for the diagonalization of a symmetric matrix? 3. What are the different types of quadratic forms? 4. What is the procedure for solving a quadratic form? 5. What is the use of the principal axes theorem for quadratic forms? 3.教学内容 Section 1: Symmetric matrices and quadratic forms Class 1: Diagonalization of symmetric matrix, exercises Class 2: The spectral theorem, exercises Class 3: Definition of quadratic form Class 4: The principal axes theorem, exercises