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  • Type MOOC course
  • Period Always open
  • hr Study freely
  • Course approval method Automatic approval

Instructor Introduction

  • 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

강의
  1. CHAPTER 1: Graphs of z=f(x,y) and F(x,y,z)=0, limits and continuity
    1. Lecture Matarials 01
    1. Graph of w=f(x1,…,xn)
    1. Quiz 1-1
    1. Level set of w=f(x1,…,xn)
    1. Quiz 1-2
    1. Limits of w=f(x1,…,xn)
    1. Quiz 1-3
    1. Continuity of w=f(x,y)
    1. Quiz 1-4
  2. CHAPTER 2: Partial derivatives and the chain rule
    1. Lecture Matarials 02
    1. 편미분
    1. Quiz 2-1
    1. 고차편미분과 미분가능성
    1. Quiz 2-2
    1. Chain rule
    1. Quiz 2-3
    1. Implicit differentiation
    1. Quiz 2-4
  3. CHAPTER 3: Directional derivatives and gradient vectors
    1. Lecture Matarials 03
    1. Directional derivatives and gradient vectors
    1. Formula of the tangent line to a level curve using gradient vectors
    1. Quiz 3
  4. CHAPTER 4: Tangent planes and differentials
    1. Lecture Matarials 04
    1. Tangent planes and normal lines
    1. Quiz 4-1
    1. Estimation of change in f and linearization of a function of two variables
    1. Quiz 4-2
    1. Differentials and functions of more than two variables
    1. Quiz 4-3
  5. CHAPTER 5: Extreme values and saddle points, lagrange multipliers
    1. Lecture Matarials 05
    1. 제약함수가 없을때 다변수함수의 극값 구하기
    1. Quiz 5-1
    1. 제약함수가 있을때 다변수함수의 극값 구하기
    1. Quiz 5-2
  6. CHAPTER 6: Double integrals and triple integrals in rectangular coordinates
    1. Lecture Matarials 06
    1. Meaning of Double Integral
    1. Quiz 6-1
    1. Example
    1. Quiz 6-2
    1. Properties+
    1. Quiz 6-3
  7. CHAPTER 7: Double integrals and triple integrals in rectangular coordinates
    1. Lecture Matarials 07
    1. Polar coordinate, Jabocian and double integration
    1. Quiz 7-1
    1. Cylindrical cooridnate, Jabocian and double integration
    1. Quiz 7-2
    1. Spherical coordinate, Jabocian and double integration
    1. Quiz 7-3
  8. Final Exam
    1. problem 01-03
    1. problem 04-06
    1. problem 07-09
    1. problem 10-12
    1. problem 13-15
    1. problem 16-18
    1. 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