SKKU Engineering Math Labs
[Sage Reference]
http://matrix.skku.ac.kr/2010-Album/Sage-QReference-SKKU.pdf
Engineering Mathematics 2
(2nd semester)
Week 1 http://matrix.skku.ac.kr/2019-EM/EM-2-W1/EM-2-W1-Lab.htm
11.1: Fourier Series
11.1 푸리에 급수란
11.2: Arbitrary Period
11.2 푸리에 급수와 경계조건
http://www.hanbit.co.kr/EM/sage/2_chap11.html
http://matrix.skku.ac.kr/2018-EM/EM-2-W1-lab.html
Week 2 http://matrix.skku.ac.kr/2019-EM/EM-2-W2/EM-2-W2-Lab.htm
11.2: Even and Odd Functions. Half-Range Expansions
11.3 푸리에 급수의 기하학적 접근
11.7: Fourier Integral
http://www.hanbit.co.kr/EM/sage/2_chap11.html
http://matrix.skku.ac.kr/2018-EM/EM-2-W2-lab.html
Week 3 http://matrix.skku.ac.kr/2019-EM/EM-2-W3/EM-2-W3-Lab.htm
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
http://www.hanbit.co.kr/EM/sage/2_chap11.html
http://matrix.skku.ac.kr/2018-EM/EM-2-W3-lab.html
Week 4 http://matrix.skku.ac.kr/2019-EM/EM-2-W4/EM-2-W4-Lab.htm
12.1: Basic Concepts of PDEs
12.1 편미분방정식이란
12.2: Modeling: Wave Equation
http://www.hanbit.co.kr/EM/sage/2_chap12.html
http://matrix.skku.ac.kr/2018-EM/EM-2-W4-lab.html
Week 5 http://matrix.skku.ac.kr/2019-EM/EM-2-W5/EM-2-W5-Lab.htm
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
http://www.hanbit.co.kr/EM/sage/2_chap12.html
http://matrix.skku.ac.kr/2018-EM/EM-2-W4-lab.html
Week 6 http://matrix.skku.ac.kr/2019-EM/EM-2-W6/EM-2-W6-Lab.htm
12.6: Heat Equation: Steady Two-Dimensional Heat Problems. Dirichlet Problem
12.4 확산방정식
12.7: Heat Equation: Solution by Fourier Integrals and Transforms
http://www.hanbit.co.kr/EM/sage/2_chap12.html
http://matrix.skku.ac.kr/2018-EM/EM-2-W4-lab.html
Week 7 http://matrix.skku.ac.kr/2019-EM/EM-2-W7/EM-2-W7-Lab.htm
13.1: Complex Numbers.
13.2: Polar Form of Complex Numbers. Powers and Roots
13.1 복소수
13.2 복소함수
http://www.hanbit.co.kr/EM/sage/2_chap13.html
http://matrix.skku.ac.kr/2018-EM/EM-2-W9-lab.html
Week 8
Review and Project proposal (presentation)
복습, 프로젝트(과제) 제안서 발표
Midterm Exam
Week 9 http://matrix.skku.ac.kr/2019-EM/EM-2-W9/EM-2-W9-Lab.htm
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
http://www.hanbit.co.kr/EM/sage/2_chap13.html
http://matrix.skku.ac.kr/2018-EM/EM-2-W9-lab.html
http://matrix.skku.ac.kr/2018-EM/EM-2-W10-lab.html
Week 10 http://matrix.skku.ac.kr/2019-EM/EM-2-W10/EM-2-W10-Lab.htm
13.6.: Trigonometric and Hyperbolic Functions. Euler’s Formula
13.5 복소 삼각함수와 복소 쌍곡함수
13.7: Logarithm. General Power. Principal Value
http://www.hanbit.co.kr/EM/sage/2_chap13.html
Week 11 http://matrix.skku.ac.kr/2019-EM/EM-2-W11/EM-2-W11-Lab.htm
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
http://www.hanbit.co.kr/EM/sage/2_chap14.html
Week 12 http://matrix.skku.ac.kr/2019-EM/EM-2-W12/EM-2-W12-Lab.htm
*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
http://www.hanbit.co.kr/EM/sage/2_chap14.html
Week 13 http://matrix.skku.ac.kr/2019-EM/EM-2-W13/EM-2-W13-Lab.htm
24.1: Data Representation. Average. Spread
24.2: Experiments, Outcomes, Events
24.3: Probability
http://matrix.skku.ac.kr/2018-album/R-Sage-Stat-Lab-1.html
Week 14 http://matrix.skku.ac.kr/2019-EM/EM-2-W14/EM-2-W14-Lab.htm
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
http://matrix.skku.ac.kr/2018-album/R-Sage-Stat-Lab-1.html
http://matrix.skku.ac.kr/2018-EM/EM-2-W11-lab.html
Week 15 http://matrix.skku.ac.kr/2019-EM/EM-2-W15/EM-2-W15-Lab.htm
24.7: Binomial, Poisson, and Hypergeometric Distributions
http://matrix.skku.ac.kr/2018-album/R-Sage-Stat-Lab-2.html
24.8: Normal Distribution
http://matrix.skku.ac.kr/2018-album/R-Sage-Stat-Lab-2.html
http://matrix.skku.ac.kr/2018-EM/EM-2-W12-lab.html
http://matrix.skku.ac.kr/2018-EM/EM-2-W13-lab.html
http://matrix.skku.ac.kr/2018-EM/EM-2-W14-lab.html
Week 16
Review and Project / Homework presentation
복습, 프로젝트(과제) 발표
Final Exam
Copyright @ 2019 SKKU Matrix Lab. All rights reserved.
Made by Manager: Prof. Sang-Gu Lee and Dr. Jae Hwa Lee
*This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2017R1D1A1B03035865).