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Syllabus

  • Course: Honor Calculus and Practice 2
  • Course Number: 033.004 004
  • Allowed audiences
    • Students who got C0 or better on ‘Honor Calculus and Practice 1’
    • Students who got A+ on ‘Calculus 1’ or on ‘Differential and Integral Calculus 1’
  • Textbook: Hongjong Kim, Calculus 2 (English translation), SNU Press
    In this course, the lecture will cover advanced topics including appendices of the textbook.
    Supplementary reference: Marsden and Tromba, Vector Calculus(6th ed.), W. H. Freeman, 2011
  • Grading: Midterm (150 points) + Final (200 points) + Quizzes (100 points) + Homework (50 points) + Participation (50 points) = Total (550 points)
  • Caution
    • “F” grade for missing any of the midterm or the final.
    • “F” grade for missing all quizzes.
    • “F” grade for missing all homework.
    • “F” grade for absence of over 1/3 of the theory classes.
    • “F” grade for absence of over 1/3 of the practice classes.
  • Exams
    • Midterm exam
      Date and Time 10/20(Sat) 13:00~15:00
      Coverage Ch. 10 ~ Ch. 12(including appendices)
    • Final exam
      Date and Time 12/8(Sat) 13:00~15:00
      Coverage Ch. 13 ~ Ch. 18(including some* of appendices)
      *13.5.1 Proof of Poincaré’s lemma, 13.5.3 Dynamical systems, 14.5.1 Proof of Fubini’s theorem, 15.6 Divergence and Change of volume
  • Quizzes
    • There are four quizzes, each of which weighs 25 points.
    • Schedule
      # Date Coverage Points
      1 9/14(Fri) Ch. 10 25
      2 10/12(Fri) Ch. 11 25
      3 11/9(Fri) Ch. 13 ~ Ch. 14 25
      4 11/30(Fri) Ch. 15 ~ Sec. 16.1 25
      * Quiz 4 rescheduled(updated 11/07).
  • Tentative syllabus
    !!Attention: Please note the make-up class schedule in the first week!!
    Week Sections Note
    1st(9/3-9/7) No class on 9/3(Mon) and 9/5(Wed)
    Make-up class: 9/6(Thu), 19:00-19:50 and 20:00-20:50 (place: TBA)

    10.1 Graph and level surface
    10.2 Continuous function
    10.3 Directional derivative
    9/3(Mon) Beginning of the fall semester
    2nd(9/10-9/14) 10.4 Differentiable function
    10.5 Chain rule
    10.6 Gradient vector and level surface
    10.7 Continuously differentiable functions, Open sets, Closed sets, Bounded sets
    9/14(Fri) Quiz 1(Ch. 10)
    3rd(9/17-9/21) 11.1 Leibniz’s rule
    11.2 Second order derivative
    11.3 Taylor expansion and approximation
    4th(9/24-9/28) 9/23(Sun)~9/26(Wed) Korean thanksgiving holidays
    9/28(Fri) 1st quarter of the fall semester
    5th(10/1-10/5) 11.4 Critical point theorem
    11.5 Hessian, second derivative test
    10/3(Wed) National foundation day of Korea
    6th(10/8-10/12) 11.6 Lagrange multipliers
    11.7 Proof of Leibniz’s rule and Calculus of variations
    10/12(Fri) Quiz 2(Ch. 11)
    10/9(Tue) Hangul day
    7th(10/15-10/19) 12.1 Jacobian matrix
    12.2 Inverse function theorem, Implicit function theorem
    10/20(Sat) 13:00~15:00 midterm exam
    10/15(Mon) SNU anniversary
    8th(10/22-10/26) 13.1 Vector field
    13.2 Line integral
    13.3 Potential function
    10/26(Fri) 2nd quarter of the fall semester, Withdrawal deadline
    9th(10/29-11/2) 13.4 Differential form
    13.5.1 Proof of Poincaré’s lemma
    13.5.3 Dynamical systems
    14.1 Area and volume
    14.2 Multiple integral
    10th(11/5-11/9) 14.3 Fubini’s theorem
    14.4 Change of variables
    14.5.1 Proof of Fubini’s theorem
    11/9(Fri) Quiz 3(Ch. 13 ~ Ch. 14)
    11th(11/12-11/16) 15.1 Vector field and divergence
    15.2 Divergence theorem
    15.6 Divergence and Change of volume
    12th(11/19-11/23) 15.3 Plane vector field and rotation
    15.4 Boundary and orientation
    15.5 Green’s theorem
    16.1 Surface
    11/20(Tue) 3rd quarter of the fall semester
    13th(11/26-11/30) 16.2 Surface area
    16.3 Surface integral
    16.4 Vector field and surface integral
    11/30(Fri) Quiz 4(Ch. 15 ~ Sec. 16.1)
    14th(12/3-12/7) 17.1 Divergence theorem
    17.2 Gauss’ law
    18.1 Curl
    18.2 Stokes’ theorem
    12/8(Sat) 13:00~15:00 Final exam
    15th(12/10-12/14) 12/14(Fri) End of the fall semester
  • The above schedule is tentative and may change depending on the progress of the course.

Instructor Information
Section No. Instructor E-mail Address Office Phone No.
[880-]
Lecture Time Lecture Room
004 Gerald Trutnau trutnau (at) snu.ac.kr 27-206 2629 Mon, Wed 16:00 ~ 16:50 025-101
TAs Information
Section No. TA E-mail Address Office Phone No.
[880-]
Recitation Time Recitation Room
001 김한얼 haneol.kijm (at) snu.ac.kr 27-429 2674 Fri 15:00~16:50 043-1-302

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