
Instructor Introduction
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최윤성 교수
- POSTECH 수학과 (함수해석학 전공) 교수
- 미국 로체스터 대학교 수학 박사 (함수해석학 전공)
- 2015년도 대한수학회 학술상 -
손영환 교수
- POSTECH 수학과 (ergodic theory 전공) 조교수
- 전, KIAS, Postdoc, Weizmann Institute, Postdoc -
조성문 교수
- POSTECH 수학과 (정수론 전공) 조교수
- 전, 일본 교토 대학 JSPS 연구원
- 전, 캐나다 토론토 대학 박사후연구원
- 미국 퍼듀 대학 수학과 박사학위 (2012 -
김건우 교수
- POSTEH 수학과 (수학, 확률해석학 전공) 조교수
- 전 University of Utah Wyile assistant professor
- 확률편미분 방정식 해의 시공간 프랙탈 규명 및 분석 (Comm. Math. Phys, 2018)
- 확률편미분방정식의 간헐성과 프랙탈 관계 규명 (Ann. Probab. 2017)
- 확률열방정식 해 비교 분석 (AIHP-Probab. Stat., 2017) -
최민석 교수
- POSTECH 수학과 (수치해석 전공) 조교수
- 프린스턴 대학 박사 후 연구원 (2014-2017)
- 브라운 대학 박사 (2014) -
박지훈 교수
- POSTECH 수학과 (정수론과 산술기하 전공) 부교수
- 전, 캐나다 McGill 대학 박사후연구원
- 전, 미국 Clay liftoff fellow
- 미국 보스톤 대학 수학과 박사학위 (2007)
- The modular j-function and homotopy Lie theory (Proceedings of AMS, 2018)
- Abelian arithmetic Chern-Simons theory (International Mathematical Research Notices,2017)
- Enhanced homotopy theory of period integrals (Communications in Number theory and physics, 2016) -
이동현 교수
- 포항공대 수학과 (편미분 방정식 전공) 조교수
- 위스콘신 매디슨 대학교 초빙조교수 (2015-2018)
- 뉴욕대학교 박사 (2015)
- Non-convex 영역에서 볼츠만 방정식의 평형상태 수렴 (Arch. Rational Mech. Anal, 2018)
- Convex 도메인에서 볼츠만 방정식의 점근적 안정성 (Comm. Pure Appl. Math, 2018)
- 자유경계를 가진 Magnetohydrodynamics의 해의 존재성 (SIAM J. Math Anal, 2017)
Lecture plan
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CHAPTER 1: Graphs of z=f(x,y) and F(x,y,z)=0, limits and continuity
- Lecture Matarials 01
- Graph of w=f(x1,…,xn)
- Quiz 1-1
- Level set of w=f(x1,…,xn)
- Quiz 1-2
- Limits of w=f(x1,…,xn)
- Quiz 1-3
- Continuity of w=f(x,y)
- Quiz 1-4
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CHAPTER 2: Partial derivatives and the chain rule
- Lecture Matarials 02
- Partial derivatives I
- Quiz 2-1
- Partial derivatives II
- Quiz 2-2
- Chain rule
- Quiz 2-3
- Implicit differentiation
- Quiz 2-4
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CHAPTER 3: Directional derivatives and gradient vectors
- Lecture Matarials 03
- Directional derivatives and gradient vectors
- Formula of the tangent line to a level curve using gradient vectors
- Quiz 3
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CHAPTER 4: Tangent planes and differentials
- Lecture Matarials 04
- Tangent planes and normal lines
- Quiz 4-1
- Estimation of change in f and linearization of a function of two variables
- Quiz 4-2
- Differentials and functions of more than two variables
- Quiz 4-3
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CHAPTER 5: Extreme values and saddle points, lagrange multipliers
- Lecture Matarials 05
- Extreme values and Saddle points
- Quiz 5-1
- Lagrange Multipliers
- Quiz 5-2
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CHAPTER 6: Double integrals and triple integrals in rectangular coordinates
- Lecture Matarials 06
- Meaning of Double Integral
- Quiz 6-1
- Example
- Quiz 6-2
- Properties+
- Quiz 6-3
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CHAPTER 7: Double integrals and triple integrals in rectangular coordinates
- Lecture Matarials 07
- Polar coordinate, Jabocian and double integration
- Quiz 7-1
- Cylindrical cooridnate, Jabocian and double integration
- Quiz 7-2
- Spherical coordinate, Jabocian and double integration
- Quiz 7-3
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Final Exam
- problem 01-03
- problem 04-06
- problem 07-09
- problem 10-12
- problem 13-15
- problem 16-18
- problem 19-21
Additional Info
[참고 교재]
Thomas' Calculus-Early Transcendentals, 12th edition 
by George B. Thomas, Maurice D. Weir, Joel R. Hass
[자주 묻는 질문]
1. 과제와 시험의 답안은 어떻게 제출하나요 ?
     Ans :  스캔 혹은 사진을 찍어서 pdf 파일로 보내면 됩니다.
 
2. 과제와 시험의 답안을 제출시기보다 늦게 제출해도 되나요 ?
      Ans : 제출 기한 내에 반드시 제출하여야 합니다.
 
3. 강의 내용 및 과제에 대한 질문은 어떻게 하나요 ?
      Ans :  토론 게시판이나 조교 정민구(jmingoo@postech.ac.kr)로 질문하시면 됩니다