Go to login Go to sub menu Go to text

Course summary

  • Type MOOC course
  • Period Always open
  • Learning Time Study freely
  • Course approval method Automatic approval
  • Certificate Issue Online
http://postech.edwith.org/differential-equation-p1
둘러보기
Thumb up 0 Learner 45

Instructor Introduction

  • 최윤성

    - POSTECH 수학과 (함수해석학 전공) 교수
    - 미국 로체스터 대학교 수학 박사 (함수해석학 전공)
    - 2015년도 대한수학회 학술상

  • 손영환

    - POSTECH 수학과 (ergodic theory 전공) 조교수
    - 전, KIAS, Postdoc, Weizmann Institute, Postdoc

Lecture plan

강의
  1. CHAPTER 1 First-Order Differential Equations
    1. Integrating Factor
    1. Separable Equations
    1. Existence and Uniqueness
  2. CHAPTER 2 Applications of First-Order Differential Equations
    1. Modelling
    1. Population Dynamics
    1. Euler’s Method
  3. CHAPTER 3 Second- Order Differential Equations
    1. Homogeneous Equations with Constant Coefficients
    1. Complex Roots and Repeated Roots
    1. Reduction of Order
  4. CHAPTER 4 Second- Order Differential Equations
    1. Nonhomogeneous Equations- Undetermined Coefficient Method
    1. Variation of Parameters
    1. Applications
  5. CHAPTER 5 Higher- Order Differential Equations
    1. General Theory of Higher- Order Differential Equations
    1. Undetermined Coefficient Method
    1. Variation of Parameters
  6. CHAPTER 6 Series Solutions of Second- Order Differential Equations
    1. Review of Power Series
    1. Series Solutions and Ordinary points I
    1. Series Solutions and Ordinary points II
  7. CHAPTER 7 Series Solutions of Second- Order Differential Equations
    1. Euler Equation and Regular Singular Points
    1. Series Solutions and Regular Singular points I
    1. Series Solutions and Regular Singular points II and Bessel’s Equations
  8. Final exam
    1. Final exam - 1
    1. Final exam - 2

Additional Info

교재: 교재 없음 (강의노트 제공)