Syllabus

• Course: Honor Calculus Practice 2
• Course Number: L0442.000800 007, 008
• Allowed Audiences: Students taking Honor Calculus 2 (in English)
• Prerequisites: English + 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
• The role of instructors and TAs
  Classes for Honor Calculus Practice 2 are conducted by the teaching assistants under the supervision of the instructors in charge. The role of each is divided as follows:
  • Instructors:
    They supervise the class. They have rights to approve an absence. They can have meeting with audiences about things that TAs or tutors of building 26 cannot resolve or other things.
  • Teaching assistants:
    They conduct the actual class. They are in charge of the student presentation, including the order of the presentation and the assignment of exercises. They make comments on the student presentation and evaluate it; identify the degree of student participation; and determine the presentation & participation scores based on the criteria. In addition to this, they give problem-solving class; administer and grade quizzes; and give attendance scores.
• TA-led class
  Every class of Honor Calculus Practice 2 is a student-led class, in which the student presentation has a high proportion.
  • o In student-led classes, the student presentation is the main part. Each student will give a presentation about four times a semester on the subject of his or her assigned exercise. The goal of this course is to develop communication skills through these presentations.
• Grading
  • Quizzes (100 points) + Presentations & Participation (150 points) + Attendance (50 points) = Total (300 points)
  • The attendance score will be graded by the following chart:

    # of absences	0 times	1 time	2 times	3 times	4 times	More than 4 times
    Attendance score	50 points	48 points	45 points	35 points	20 points	0 points

    ※ In calculating the attendance score, 2 tardiness will be considered 1 absence.
• Caution
  • English is the only language allowed in the class!!
  • “F” grade for missing all of quizzes.
  • “F” grade for missing all of homeworks.
  • “F” grade for absence from the class more than 4 times.
• Presentations & Participation
  • The presentation score is determined by reflecting the presentation attitude, presentation content, and preparation.
  • The list of the representative exercises
  • Participation scores are determined by reflecting the degree of participation in the class.
• Quizzes
  • There are four quizzes, each of which weighs 25 points.
  • Schedule

    #	Date	Coverage	Points
    1	9/27(Fri)	Ch. 10	25
    2	10/4(Fri)	Ch. 11	25
    3	11/8(Fri)	Ch. 14 ~ Sec. 15.1	25
    4	11/29(Fri)	Sec. 15.2 ~ Ch. 16	25

• Tentative syllabus: The practice courses cover what the theory course(Honor Calculus 2 #004) covers based on the following schedule of the theory course.
  !!Attention: Please note the make-up class schedules in 3rd and 4th weeks!!

  Week	Sections	Note
  1st(9/2-9/6)	(No theory class on 9/2(Mon) and 9/4(Wed))	9/2(Mon) Beginning of the fall semester No class on 9/6(Fri)
  2nd(9/9-9/13)	10.1 Graph and level surface 10.2 Continuous function 10.3 Directional derivative 10.4 Differentiable function 10.5 Chain rule 10.6 Gradient vector and level surface 10.7.1 Continuously differentiable functions and Differentiability	9/12(Thu) ~ 14(Sat) Chuseok holidays
  3rd(9/16-9/20)	10.7.2 Open sets, Closed sets, Bounded sets 11.1 Leibniz’s rule 11.7.1 Proof of Leibniz's rule 11.2 Second order derivative 11.3 Taylor expansion and approximation 11.4 Critical point theorem 11.5 Hessian, second derivative test	9/21(Sat) 13:00~14:50 Make-up class(Place: 24-101)
  4th(9/23-9/27)	(No theory class on 9/23(Mon) and 9/25(Wed))	9/27(Fri) 1st quarter of the fall semester 9/28(Sat) 13:00~14:50 Make-up class(Place: 24-101)
  5th(9/30-10/4)	11.6 Lagrange multipliers 11.7.2 Calculus of variations 12.1 Jacobian matrix 12.2 Inverse function theorem, Implicit function theorem
  6th(10/7-10/11)	13.1 Vector field 13.2 Line integral
  7th(10/14-10/18)	13.3 Potential function 13.5.1 Proof of Poincaré’s lemma 13.4 Differential form 13.5.3 Dynamical systems
  8th(10/21-10/25)	14.1 Area and volume 14.2 Multiple integral 14.3 Fubini’s theorem 14.5.1 Proof of Fubini’s theorem	10/25(Mon) Last day to withdraw from courses, 2nd quarter of the fall semester
  9th(10/28-11/1)	14.4 Change of variables 15.1 Vector field and divergence 15.6 Divergence and Change of volume
  10th(11/4-11/8)	15.2 Divergence theorem 15.3 Plane vector field and rotation 15.4 Boundary and orientation 15.5 Green’s theorem
  11th(11/11-11/15)	16.1 Surface 16.2 Surface area
  12th(11/18-11/22)	16.3 Surface integral 16.4 Vector field and surface integral	11/20(Wed) 3rd quarter of the fall semester
  13th(11/25-11/29)	17.1 Divergence theorem 17.2 Gauss’ law
  14th(12/2-12/6)	18.1 Curl 18.2 Stokes’ theorem
  15th(12/9-12/13)		12/14(Fri) End of the fall semester

• The above schedule is tentative and may change depending on the progress of the course.