## 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
Thumb up 0 Learner 17 ### 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