Math 113 Calculus I
Fall 2004
Purpose: This is Bilkent version of "Honour Calculus". The course aims to teach the fundamental concepts and the pioneering ideas behind the magnificent calculus machine while at the same time demonstrating the use of these ideas in efficient problem solving. You will emerge from this course with a fundamental understanding of calculus and with a smooth skill in applying these ideas.
Instructor: Ali Sinan Sertöz
Department of Mathematics
Faculty of Science
Room: SA-121, Phone: 1490
Office Hours: Tuesday 13:40-15:30
Homework Reader: Yasemin Şengül, email: sengul@ug.bilkent.edu.tr
Schedule:
| TUESDAY | 10:40-12:30 | EB-102 |
| FRIDAY | 8:40-110:30 | SAZ-04 |
Text
Required: Tom M. APOSTOL, Calculus, Volume I, Second Edition, John Wiley & Sons, 1967.Syllabus
|
Week |
Subject |
Exam |
||
| #1 | Sep 24 | Real numbers, infimum, supremum, induction | I.1-I-47 | |
| #2 | Sep 28-Oct 1 | Function, area, step functions | 1.1-1.15 | |
| #3 | Oct 5-8 | Integration of general functions | 1.16-1.27 | |
| #4 | Oct 12-15 | Applications of integration | 2.1-2.19 | #1 |
| #5 | Oct 19-22 | Continuity and limits | 3.1-3.8 | |
| #6 | Oct 26 | Properties of continuous functions | 3.9-3.19 | |
| #7 | Nov 2-5 | Derivative and geometric interpretation | 4.1-4.12 | |
| #8 | Nov 9-12 | Extreme values | 4.13-4.17 | |
| #9 | Nov 19 | Curve sketching | 4.18-4.21 | #2 |
| #10 | Nov 23-26 | Fundamental theorem of calculus | 5.1-5.6 | |
| #11 | Nov 30-Dec 3 | Methods of integration | 5.7-5.11 | |
| #12 | Dec 7-10 | Logarithm and exponential functions | 6.1-6.17 | |
| #13 | Dec 14-17 | Hyperbolic and inverse trigonometric functions | 6.18-6.26 | #3 |
| #14 | Dec 21-24 | Polynomial approximations to functions | 7.1-7.9 | |
| #15 | Dec 28-31 | Indeterminate forms and L'Hopital's rule | 7.10-7.17 | |
Grading:
| Midterm 1 | 16 October 2004 Saturday at 10:00 | 20% |
| Midterm 2 | 20 November 2004 Saturday at 10:00 | 20% |
| Midterm 3 | 18 December 2004 Saturday at 10:00 | 20% |
| Homework | 10% | |
| Final | 5 January 2005 Wednesday at 12:30 | 30% |
Detailed information about exam contents, exam places and
solutions will be posted here.
Important:
You need to download and install Adobe Reader to view the
following PDF files. This program is already installed on most Bilkent machines but you
may need to install it on your home computer too. The reader is free. Here is a
link to start downloading:
Homework-1 due in 8 October 2004 Friday
Solve the following exercises from the book: page 45,
Exercise 12 and page 60, Exercise 4.
Homework-2 due in 9 November 2004 Tuesday
Solutions
Homework-3 due in 12 November 2004 Friday
Solutions
Homework-4 due in 19 November 2004 Friday
Solutions
Homework-5 due in 10 December 2004 Friday
Solutions
Homework-6 due in 24 December 2004 Friday
Solutions
Homework-7 due in 31 December 2004 Friday
Solutions
Midterm-1, 19 October 2004 Saturday at 10:00 Solutions
Akıncı-Korkmaz at SAZ-04
Kurban-Yılmaz at SAZ-18
Midterm-2, 20 November 2004 Saturday at 10:00
Solutions
Akıncı-Korkmaz at SAZ-04
Kurban-Yılmaz at SAZ-18
Midterm-3, 18 December 2004 Saturday at 10:00 Solutions
Akıncı-Korkmaz at SAZ-04
Kurban-Yılmaz at SAZ-18
Final, 5 January 2005 Wednesday at 12:30 Solutions
Akıncı-Korkmaz at SAZ-04
Kurban-Yılmaz at SAZ-18
Make-up, 7 January 2005 Friday at 10:00 Solutions
SAZ-01
Last updated on 19.02.2005 (day.month.year).