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강좌 개요

  • 타입 MOOC 강좌
  • 기간 상시 수강
  • 학습시간 자유롭게 학습
  • 수강 승인 방식 자동 승인
  • 수료증 온라인 발급
http://www.edwith.org/differential-equation-p1
둘러보기
좋아요 3 수강생 156

교수자 소개

  • 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

강의계획

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

추가정보

교재: 교재 없음 (강의노트 제공)