# [2015-1학기] Honor Calculus and Practice 1 section #003(English) Syllabus

Syllabus

• Course : Honor Calculus and Practice 1 (고급수학 및 연습 1)
• Course number : 033.003 003
• This course is intended for students who got 「Honor calculus level」 in mathematics achievement test.
• Textbook : Hong Jong Kim, Calculus 1 (English translation), SNU Press
• This course is more intensive than calculus 1. The last section of each chapter will be taught in this course.
• Reference : Sungpyo Hong, Calculus, Postech, 2006
• Evaulation : Midterm(200 points) + Final(200 points) + Quiz(40 points) + Attendance(10 points) = Total 450 points
Most of attendees will get A or B grade in this course. But C or lower grade also might be given if one's performance is really poor.
• Caution!! You will automatically get "F" for the final course grade if you miss the midterm of the final without notice.
• The following is a tentative syllabus.
• Weeks Sections Note
1st(3/2-3/6) (March 2nd(Mon) : Entrance ceremony.
No lecture on March 2nd.)
1.1, 1.2, 1.3 Sequence and series, Geometric series, Comparison test
March 2nd(Mon): Entrance ceremony
2nd(3/9-3/13) 1.4, 1.5, 1.6, 1.7 Root test, Ratio test, Integral test, Alternation series and absolute convergence
3rd(3/16-3/20) 1.8, 2.1, 2.2, 2.3 Real numbers, , Power series, Radius of convergence, The exponential function Quiz 1
4th(3/23-3/27) 2.4, 2.5, 2.6, 2.7 Trigonometric functions, Hyperbolic functions, Inverse trigonometric functions, Differential equations and some proofs March 25th(Wed): 1st quarter of the semester
5th(3/30-4/3) 3.1, 3.2, 3.3 Cauchy’s mean value theorem, L’Hopital’s rule, Linear and polynomial approximations Quiz 2
6th(4/6-4/10) 3.4, 3.5, 3.6 Taylor’s theorem, Taylor series, Taylor expansion at an arbitrary point
7th(4/13-4/17) 4.1, 4.2, 4.3, 4.4 Cartesian spaces, Polar coordinates, Cylindrical and Spherical coordinates, Euclidean spaces Midterm exam on April 18th 1pm-3pm
8th(4/20-4/24) 5.1, 5.2, 5.3, 5.4 Parallel translation, Directed line segments and vectors, The inner product, Equations for lines and planes April 20th(Mon): 2nd quarter of the semester - Deadline of dropping the course
9th(4/27-5/1) 5.5, 5.6, 6.1, 6.2 Linear dependence and independence, Basis and dimensions of spaces, Matrices, Linear transformations Quiz 3
10th(5/4-5/8) 7.1, 7.2, 7.3 Inverse matrices, Permutations, Determinants May 5th(Tue): Children’s day
11th(5/11-5/15) 7.4, 8.1, 8.2, 8.3 Signs of permutations. Properties of determinants, The cross product, cross products and matrices, Torque
12th(5/18-5/22) 9.1, 9.2, 9.3 Parametrized curves, Acceleration vectors, Reparametrizations May 19th(Tue): 3rd quarter of the semester
Quiz 4
13th(5/25-5/29) 9.4, 9.5, 9.6 Length of cures, Polar coordinates and areas, Arc length and reparametrizations May 25th(Mon): Buddha’s birthday
14th(6/1-6/5) 9.7, 9.8 Line integrals, Curvature Final exam on June 6th 1pm-3pm
June 6th(Sat): Memorial day
15th(6/8-6/12) Make up classes June 12th(Fri): End of spring semester
• The above schedule may change, depending on the progress of the course.

Instructor
Lecture number Instructor e-mail Office
Phone number[880-]Class time
Lecture room
003 Atanas Iliev ailiev (at) snu.ac.kr 27-201 4445 Mon 14:00~14:50
Wed 14:00~14:50
24-113
TAs
Lecture number 담당조교 e-mail Office
Phone number[880-]
Class time
Lecture room
003 Hyo Seok Jang hyoseok.jang (at) snu.ac.kr 27-222 4075 Fri 13:00~14:50 500-L303

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