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.
- The above schedule may change, depending on the progress of the course.
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 |
Lecture number | Instructor | 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 |
Lecture number | 담당조교 | 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 |