Math 113 Single Variable
Calculus
Calculus for Mathematicians and Physicists
2007 Fall Semester
Ali Sinan
Sertöz
Faculty of Science, Department of Mathematics, Room: SA-121
Office Hours: Monday 13:40-15:30
Assistant: Ali Adalı,
Office: SA-144, Phone 290 2131, email:
Text Book:
Calculus, Volume I, Second Edition, Tom M. Apostol, John Wiley and
Sons, 1967.
Schedule for Physics Students
(Section 001):
| MON | 8:40-10:30 | SAZ01 | |
| WED | 10:40-12:30 | SAZ01 | |
| WED | 15:40-17:30 | SBZ03 | Recitation. This hour is mostly for review and fun. |
Schedule for Mathematics Students
(Section 002):
| TUE | 08:40-10:30 | B206 | |
| THU | 08:40-10:30 | SBZ03 | |
| WED | 15:40-17:30 | SBZ03 | Recitation. This hour is mostly for review and fun. |
Recitation Hour:
| WED | 15:40-16:30 | SBZ03 | Activities for this hour will be announced separately |
| WED | 16:40-17:30 | SBZ03 | This is the weekly recitation hour |
Syllabus:
| Week |
Date |
Subjects to be covered | Chapter |
| 1 | 17-19 Sep | Introduction | 0 |
| 2 | 24-26 Sep | Functions, area, step functions | 1 |
| 3 | 1-4 Oct | Integration | 1 |
| 4 | 8-11 Oct | Continuity | 2 |
| 5 | 15-18 Oct | Uniform Continuity Midterm on Saturday | 3 |
| 6 | 22-25 Oct | Derivatives and Chain Rule | 3 |
| 7 | 30-31 Oct | Interpretation and applications | 4 |
| 8 | 5-8 Nov | Fundamental theorem of calculus | 5 |
| 9 | 12-15 Nov | Integration techniques | 5 |
| 10 | 19-22 Nov | Review problems Midterm on Saturday | 5 |
| 11 | 26-29 Nov | Trancendental functions | 6 |
| 12 | 3-6 Dec | More integration techniques | 6 |
| 13 | 10-13 Dec | Taylor's theorem | 7 |
| 14 | 17-19 Dec | Application to indeterminate forms | 7 |
| 15 | 24-27 Dec | L'Hopital's rule | 7 |
Grading and Exams:
Homework problems will be assigned regularly.
| Midterm 1 | 25% | 20 October 2007 Saturday | 14:00 |
| Midterm 2 | 25% | 24 November 2007 Saturday | 10:00 |
| Final | 30% | TBA | |
| Homeworks | 20% |
Solution of Midterm 1
Solution of Midterm 2
Homework 5 Due 10 December 2007 Monday
Homework 6
Solutions
(only problems 1 and 6)
Elvis the dog knows calculus
(The College Mathematics Journal, Vol 3, No 3, May 2003)
Solutions to some exercises of Apostol:
Page 45, section I 4.10, Exercise 12
Page 60, section 1.7, Exercise 4
Page 155, section 3.20 Exercise 5
Page 270, section 6.26 Exercise 28
All homeworks and solutions will be announced here in Acrobat format (pdf) for which you need to download Acrobat Reader if that is not already installed on your machine.
For old exams and homeworks see my all courses page.
For useful information about calculus, you may visit Okan Tekman's generic calculus page.
Please register with Moodle. Enrolment key can be obtained in class.
