SKKU Engineering Math Labs

[Sage Reference]

Engineering Mathematics 2

(2nd semester)

11.1: Fourier Series

11.1 푸리에 급수란

11.2: Arbitrary Period

11.2 푸리에 급수와 경계조건

11.2: Even and Odd Functions. Half-Range Expansions

11.3 푸리에 급수의 기하학적 접근

11.7: Fourier Integral

11.8: Fourier Cosine and Sine Transforms

11.4 푸리에 급수의 수렴

*11.5 스투룹-리우빌 정리와 직교함수

11.9: Fourier Transform

11.6 푸리에 변환

12.1: Basic Concepts of PDEs

12.1 편미분방정식이란

12.2: Modeling: Wave Equation

12.3: Solution by Separating Variables. Use of Fourier Series

12.5: Modeling: Heat Equation

12.3 파동방정식

12.6: Heat Equation: Solution by Fourier Series.

12.4 확산방정식

12.6: Heat Equation: Steady Two-Dimensional Heat Problems. Dirichlet Problem

12.4 확산방정식

12.7: Heat Equation: Solution by Fourier Integrals and Transforms

13.1: Complex Numbers.

13.2: Polar Form of Complex Numbers. Powers and Roots

13.1 복소수

13.2 복소함수

Week 8

Review and Project proposal (presentation)

복습, 프로젝트(과제) 제안서 발표

Midterm Exam

13.3: Derivative. Analytic Function

13.1 복소수

13.2 복소함수

13.4: Cauchy–Riemann Equations. Laplace’s Equation

13.3 코시-리만방정식

13.5: Exponential Functions

13.4 복소 지수함수와 복소 로그함수

13.6.: Trigonometric and Hyperbolic Functions. Euler’s Formula

13.5 복소 삼각함수와 복소 쌍곡함수

13.7: Logarithm. General Power. Principal Value

14.1: Line Integral in the Complex Plane

14.1 복소평면에서의 선적분

14.2: Cauchy’s Integral Theorem

14.2 코시-구르사 정리

*14.3: Cauchy’s Integral Formula

14.3 코시 적분 공식

*14.4: Derivatives of Analytic Functions

*15.1: Sequences, Series, Convergence Tests

*15.2: Power Series

*15.3: Functions Given by Power Series

15.1 복소 수열과 복소 무한급수

15.4: Taylor and Maclaurin Series

15.2 테일러 급수와 로랑급수

24.2: Experiments, Outcomes, Events

24.3: Probability

24.4: Permutations and Combinations

(New) Conditional Probability and Independence, Bayes' theorem

24.5: Random Variables. Probability Distributions

24.6: Mean and Variance of a Distribution

24.7: Binomial, Poisson, and Hypergeometric Distributions

24.8: Normal Distribution

Week 16

Review and Project / Homework presentation

복습, 프로젝트(과제) 발표

Final Exam