Syllabus
- Course: Honor Calculus 1
- Course Number: L0442.000500 005, 006
- Allowed audiences: Students who got Honor calculus level from the mathematics achievement test and wants to take this course
- Textbook: Hongjong Kim, Calculus 1 (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
- Quizzes (300 points) + Homeworks (600 points) + Attendance (100 points) = Total (1000 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 100 points 96 points 90 points 70 points 40 points 0 points
- Caution
- “F” grade for missing any of midterm of final.
- “F” grade for absence from the class more than 10 times.
- Quizzes
- There are four quizzes, each of which weighs 25 points.
- Schedule
# Date Coverage Points 1 3/21(Thu) Ch. 1 25 2 4/4(Thu) Ch. 2 25 3 5/9(Thu) Ch. 5 ~ Ch. 6 25 4 5/23(Thu) Ch. 7 ~ Ch. 8 25
- Tentative syllabus: The practice courses cover what the theory course(Honor Calculus 1 003) covers based on the following schedule of the theory course.
Week Sections Note 1st(3/4-3/8) 1.1 Sequence and Series
1.2 Geometric Series
1.3 Comparison Test
1.4 Root Test3/4(Mon) Beginning of the spring semester, Matriculation ceremony for undergraduates 2nd(3/11-3/15) 1.5 Ratio Test
1.6 Integral Test
1.7 Alternating Series and Absolute Convergence
1.8 Real Numbers3rd(3/18-3/22) 2.1 Power Series
2.2 Radius of Convergence
2.3 Power Series of The Exponential Function4th(3/25-3/29) 2.4 Power Series of Trigonometric Functions
2.5 Hyperbolic Functions
2.6 Inverse Trigonometric Functions
2.7 Differential Equations and Some Proofs3/27(Wed) 1st quarter of the spring semester 5th(4/1-4/5) 3.1 Cauchy’s Mean Value Theorem
3.2 L’Hôpital’s Rule
3.3 Linear and Polynomial Approximations6th(4/8-4/12) 3.4 Taylor’s Theorem
3.5 Taylor Series
3.6 Taylor Expansion at an Arbitrary Point7th(4/15-4/19) 4.1 Cartesian Spaces
4.2 Polar Coordinates
4.3 Cylindrical and Spherical Coordinates
4.4 Euclidean Spaces8th(4/22-4/26) 5.1 Parallel Translation
5.2 Directed Line Segments and Vectors
5.3 The Inner Product
5.4 Equations of Lines and Planes4/22(Mon) 2nd quarter of the spring semester, Last day to withdraw from courses 9th(4/29-5/3) 5.5 Linear Dependence and Independence
5.6 Basis and Dimensions of Spaces
6.1 Matrices
6.2 Linear Transformations10th(5/6-5/10) 6.3 Isometries and Limits of Matrices
7.1 Inverse Matrices11th(5/13-5/17) 7.2 Permutations
7.3 Determinants
7.4 Signs of Permutations. Properties of Determinants
8.1 The Cross Product5/17(Fri) 3rd quarter of the spring semester 12th(5/20-5/24) 8.2 Cross Products and Matrices
8.3 Torque
9.1 Parametrized Curves
9.2 Acceleration Vectors13th(5/27-5/31) 9.3 Reparametrizations
9.4 Lengths of Curves
9.5 Polar Coordinates and Areas
9.6 Arc Length and Reparametrization14th(6/3-6/7) 9.7 Line Integrals
9.8 Curvature
9.9 Catenary. Closed Curves. TautochroneNo class on 6/6(Thu): Memorial day 15th(6/10-6/14) Review classes 6/14(Fri) End of the spring semester 16th(6/17-6/21) Make-up classes - The above schedule is tentative and may change depending on the progress of the course.
Section No. | Instructor | E-mail Address | Office | Phone No. [880-] |
---|---|---|---|---|
005 | Atanas Iliev | ailiev (at) snu.ac.kr | 27-201 | 4445 |
006 | Atanas Iliev | ailiev (at) snu.ac.kr | 27-201 | 4445 |
Section No. | TA | E-mail Address | Office | Phone No. [880-] |
Recitation Time | Recitation Room |
---|---|---|---|---|---|---|
005 | 변준혁 | giugi2486 (at) snu.ac.kr | 27-334 | 6556 | Tue 15:30~17:20 | 025-109 |
006 | 고동영 | kodong57 (at) snu.ac.kr | 27-333 | 6269 | Thu 15:30~17:20 | 025-110 |