W2.24 평가문제(Week-2 Graded Quiz)

[커세라] 이과생을 위한 미분 방정식(Differential Equations for Engineers)

0주: 환영(Welcome)
    W0.1 강좌 예고(Course Trailer)
    W0.2~5 강좌 개요(Course Overview)
    W0.6~7/1강 미분 방정식 소개 및 연습문제
                     (Introduction to Differential Equations & Practice Quiz)

1주: 1차 미분 방정식(Frst-order Differential Equation)
    W1.1/2강 수치해석:오일러 방법(Euler Method)
    W1.2/3강 1차 미분 방정식 세우기(Separable First-order equations)
    W1.3/4강 1차 미분 방정식 세우기 예제(Separable First-order equations:Example)
    W1.4 연습문제(Practice Quiz:Separable First-order ODEs)
    W1.5/5강 선형 1차 미분 방정식(Linear First-order Equations)
    W1.6/6강 선형 1차 미분 방정식:예제(Linear First-order Equations:Example)
    W1.7 연습문제(Practice Quiz:Linear First-Order ODE)
    W1.8/7강 선형 1차 미방 응용:예금(Application: Compound interest)
    W1.9/8강 선형 1차 미방 응용:종말속도(Application: Terminal Velocity)
    W1.10/9강 선형 1차 미방 응용:RC회로(Application: RC Circuit)
    W1.11 연습문제(Practice Quiz: Applications)
    W1.12 평가문제(Week-1 Graded Quiz)

2주: 2차 미분 방정식(Second-order Differential equations)
    W2.1/10강 고차 미분 방정식에 대한 오일러 방법(Euler method for higher-order odes)
    W2.2/11강 중첩의 원리(Principle of Superposition)
    W2.3/12강 론스키 행렬식(The Wronskian)
    W2.4/보강1 복소수(complex numbers)
    W2.5/13강 일원 2차 상미분 방정식(Homogeneous 2nd-order ODEs)
    W2.6/14강 예제1: 2개의 실근(Case1: Distinct Real Roots)
    W2.7/15강 예제2A: 켤레 복소수 근 A(Case 2: Complex-Conjugate Roots (Part A))
    W2.8/16강 예제2B: 켤레 복소수 근 B(Case 2: Complex-Conjugate Roots (Part B))
    W2.9/17강 예제3A: 중근 A(Case 3: Repeated Roots (Part A))
    W2.10/18강 예제3B: 중근 B(Case 3: Repeated Roots (Part B))
    W2.11 연습문제(Practice quiz: Homogeneous 2nd-order ODEs)
    W2.12/19강 이원 2차 상미분 방정식(Inhomogeneous 2nd-order ODEs)
    W2.13/20강 지수함수꼴 이원항(Inhomogeneous term:Exponential func.)
    W2.14/21강 삼각함수꼴 이원항(A)(Inhomogeneous term:sine or cosine-Part A)
    W2.15/22강 삼각함수꼴 이원항(B)(Inhomogeneous term:sine or cosine-Part B)
    W2.16/23강 다항함수꼴 이원항(Inhomogeneous term:Polynomials)
    W2.17/24강 공진현상(Resonance)
    W2.18 연습문제(Practice quiz: Inhomogeneous 2nd-order ODEs)
    W2.19/보강2 차원해석(Dimensional Analysis: Nondimensionalization)
    W2.20/25강 응용: RLC회로(Application: RLC Circuit)
    W2.21/26강 응용: 스프링에 달린 질량(Application: mass on a spring)
    W2.22/27강 응용: 진자운동(Application: Pendulum)
    W2.23/28강 응용: 감쇄공진(Application: Damped Resonance)

W2.24 평가문제(Week-2 Graded Quiz)