Syllabus
- Course: Honor Calculus 1
- Course Number: L0442.000500 003
- 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: Midterm (600 points) + Final (600 points) + Homeworks (600 points) + Attendance (200 points) = Total (2000 points)
- Caution
- “F” grade for missing any of midterm of final.
- “F” grade for absence from the class more than 10 times.
- Exams
- Midterm exam
Date and Time 4/20(Sat) 13:00~15:00 Coverage Ch. 1 ~ Ch. 4(including appendices) - Final exam
Date and Time 6/8(Sat) 13:00~15:00 Coverage Ch. 5 ~ Ch. 9(including appendices)
- Midterm exam
- Tentative syllabus
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 Spaces4/20(Sat) Midterm Exam 8th(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 MatricesNo class on 5/6(Mon): Substitute holiday 11th(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. Tautochrone6/8(Sat) Final Exam 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-] |
Lecture Time | Lecture Room |
---|---|---|---|---|---|---|
003 | Atanas Iliev | ailiev (at) snu.ac.kr | 27-201 | 4445 | Mon, Wed 12:00~12:50 | 025-104 |