Math 114 Multi Variable
Calculus for Mathematicians and Physicists
2008 Spring Semester
Ali Sinan Sertöz
Faculty of Science, Department of Mathematics, Room: SA-121
Office Hours: Wednesday 13:40-15:30
Assistant: Ali Adalı, Office: SA-144, Phone 290 2131, email:
Thomas' Calculus, Eleventh Edition, Weir, Hass, Giordano, Pearson Education Inc., 2005.
Calculus, Volume I, Second Edition, Tom M. Apostol, John Wiley and Sons, 1967.
|Subjects to be covered||Chapter|
|1||11-13 Feb||Sequences and series||11|
|2||18-20 Feb||Improper integrals and the integral test||11|
|3||25-27 Feb||Comparison, ratio and root tests||11|
|4||3-5 Mar||Alternating series||11|
|5||10-12 Mar||Power series Midterm||11|
|6||17-19 Mar||Vectors in space, dot and cross products||12|
|7||24-26 Mar||Vector valued functions||13|
|8||31 Mar-2 Apr||Partial derivatives||14|
|9||7-9 Apr||Chain rule, directional derivatives, tangent planes||14|
|10||14-16 Apr||Min/Max problems Midterm||14|
|11||21 Apr||Multiple integrals and the Fubini Theorem||15|
|12||28-30 Apr||Substitution in multiple integrals||15|
|13||5-7 May||Line integrals, Green's theorem||16|
|14||12-14 May||Surface integrals||16|
|15||20 May||Stokes' theorem||16|
Grading and Exams:
Homework problems will be assigned regularly.
You are encouraged to discuss solutions with your friends but you must write your homework yourself.
It is not acceptable to borrow your friend's written homework or for that matter to lend your written version.
Writing should be private.
However until that stage you may and in fact you should discuss solutions with your friends, and even with me.
|Midterm 1||25%||12 March 2008||V02||Solutions|
|Midterm 2||25%||16 April 2008, 10:40-12:30||V02||Solutions|
|Final||30%||29 May 2008, 9:00||SAZ01, SAZ04,
Seating at the final exam:
Homework 1 Due date 27 February 2008. Solutions
Homework 2 Due date 7 May 2008. (solutions will be given on the recitation hour.)
Homework 3 Due date 14 May 2008. (solutions will be given on the recitation hour.)
All homeworks and solutions will be announced here (and on Moodle) 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 and check with Math 114 courses as well as with Math 102 courses.
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.