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