Math 210: Mathematical Methods in Physical Sciences and Engineering (Part A) - Bo Li

Math 210: Mathematical Methods in Physical Sciences and Engineering
Fall 2017, Winter 2018, and Spring 2018
Instructor: Bo Li

Lecture Notes for Fall 2017

Chapter 1. Sequences and Series

  • Section 1.1. Sequences of Numbers (pages 1 - 6)
  • Section 1.2. Series of Numbers (pages 1 - 8, 9 - 16)
  • Section 1.3: Sequences of Functions (pages 1 - 7, 8 - 14, 15 - 21)
  • Section 1.4. Series of Functions. Power Series. (pages 1 - 7)

Chapter 2. Matrix Techniques

  • Section 2.1. Determinant and Rank (pages 1 - 10, 11 - 18)
  • Section 2.2. Eigenvalues and Eigenvectors (pages 1 - 8 )
  • Section 2.3. Symmetric Positive Definite and Orthogonal Matrices (pages 1 - 12, pages 13 - 23)
  • Section 2.4. Matrix Exponentials (pages 1 - 10 )

Chapter 3. Hilbert Spaces

  • Section 3.1. Definition, Properties and Exampls (pages 1 - 10 )
  • Section 3.2. Best Approximations and Orthogonal Projections. (pages 1 - 11 )
  • Section 3.3. Orthogonal Systems and Orthogonal Polynomials (pages 1 - 10 )
  • Section 3.4. Bounded Linear Operators

Last updated by Bo Li on September 29, 2017.