General Information Indian Institute of Technology Bombay


MA 103 : Mathematics I


Autumn 2001



Division I

Lectures: Monday, 9.30 - 10.25 A.M. and Wednesday, 8.30 - 9.25 A.M.

Tutorial Sessions:
Part A: Thursday, 10.35 A.M. - 11.30 P.M.
Part B: Thursday, 11.35 A.M. - 12.30 P.M.

The lectures as well as the Part A of tutorials will be held in Room IC1 (School of Management). The Part B of tutorials for sections T-1, T-2, T-3 and T-4 will be held in Rooms 4a, 4b, 5a and 5b (Main Building), respectively.

Instructor: Prof. S. R. Ghorpade     Office : Room 106B, Department of Mathematics.

Office Tel. 7470.     E-Mail: srg@math.iitb.ac.in


Division II

Lectures: Monday, 9.30 - 10.25 A.M. and Wednesday, 8.30 - 9.25 A.M.

Tutorial Sessions:
Part A: Thursday, 10.35 A.M. - 11.30 P.M.
Part B: Thursday, 11.35 A.M. - 12.30 P.M.

The lectures as well as the Part A of tutorials will be held in Room IC2 (School of Management). The Part B of tutorials for sections T-1, T-2, T-3 and T-4 will be held in Rooms 6a, 6b, 7a and 7b (Main Building), respectively.

Instructor: Prof. B. V. Limaye     Office : Room 204, Department of Mathematics.

Office Tel. 7465.     E-Mail:bvl@math.iitb.ac.in


Division III

Lectures: Monday, 4.00 - 4.55 P.M. and Friday, 3.00 - 3.55 P.M.

Tutorial Sessions:
Part A: Wednesday, 10.35 A.M. - 11.30 P.M.
Part B: Wednesday, 11.35 A.M. - 12.30 P.M.

The lectures as well as the Part A of tutorials will be held in Room IC3 (School of Management). The Part B of tutorials for sections T-1, T-2, T-3 and T-4 will be held in Rooms 4a, 4b, 5a and 5b (Main Building), respectively.

Instructor: Prof. R. P. Kulkarni     Office : Room 201B, Department of Mathematics.

Office Tel. 7459.     E-Mail: rpk@math.iitb.ac.in


Division IV

Lectures: Monday, 4.00 - 4.55 P.M. and Friday, 3.00 - 3.55 P.M.

Tutorial Sessions:
Part A: Wednesday, 10.35 A.M. - 11.30 P.M.
Part B: Wednesday, 11.35 A.M. - 12.30 P.M.

The lectures as well as the Part A of tutorials will be held in Room IC4 (School of Management). The Part B of tutorials for sections T-1, T-2, T-3 and T-4 will be held in Rooms 6a, 6b, 7a and 7b (Main Building), respectively.

Instructor: Prof. M. K. Srinivasan     Office : Room 101B, Department of Mathematics.

Office Tel. 7484.     E-Mail: mks@math.iitb.ac.in


Text/References

Several copies of these books have been kept in the Study Room Section of the Central Library on reserve. Apart from these, a preliminary version of the forthcoming text A First Course in Calculus and Analysis by S. R. Ghorpade and B. V. Limaye as well as the Instructional Material for MA 103 - Autumn 1997 by the same authors can form a convenient reference. Copies of relevant portions of these notes, will be made available to the students from time to time. These copies can be purchased at a nominal cost from Mr. Anthony in Room 102 A of the Department of Mathematics.


Tutorials

This brochure contains 8 tutorial sheets which roughly correspond to the 8 tutorials which will take place before the mid-semester examination. Each sheet is divided into two parts: Part A and Part B. Part A will be covered in the first tutorial hour. The problems in part B are expected to be done by the students and this work should be completed by the end of the second tutorial hour in the subsequent week. The course associates will supervise the work by the students and offer help wherever necessary. Also, the students may be asked to present some solutions in the class during Part B.

A similar brochure containing 7 more tutorial sheets will be distributed around the time of the mid-semester examination.


Evaluation Plan

  1. The Mid-Semester Examination, scheduled to held during 17-21 September, will be of 30 % weightage and the End-Semester Examination, scheduled to held during 19-28 November, will be of 50 % weightage. Please note that the Examination Slot assigned to this course is Slot No. 5.

  2. In addition, there will be five quizzes of 5% weightage each, common to all the four divisions. These will be held in the Convocation Hall as per the following schedule.

    Day & Date Time Based on
    Quiz 1 Monday, August 13 5.45 - 6.05 PM Tutorials 1 and 2
    Quiz 2 Wednesday, August 29 2.15 - 2.35 PM Tutorials 3 and 4
    Quiz 3 Wednesday, September 26 2.15 - 2.35 PM Tutorials 7 and 8
    Quiz 4 Wednesday, October 17 2.15 - 2.35 PM Tutorials 9 and 10
    Quiz 5 Wednesday, November 7 2.15 - 2.35 PM Tutorials 11, 12 and 13

    For the final grade, the best 4 of the 5 quiz scores will be considered. No Make-up quiz will be given under any circumstances.

Special Note

For Division I and II, there will be extra lectures on Friday, August 10 and Friday, August 17 during 11.35 AM to 12.30 PM.

For Division III and IV, there will be extra tutorials on Tuesday, August 14 and Tuesday, August 21 during 8.30 to 09.25 AM (Part A in IC3/IC4) and 09.30 to 10.25 AM (Part B in MB1/MB2).

This will compensate for the lectures or tutorials missed on August 15 and 22 on account of holidays and facilitate smooth running of the course.

For Division III and IV, the lecture scheduled for Friday, July 27 during 03.00 to 03.55 PM. will be shifted to Tuesday, July 24 during 08.30 to 09.25 AM.


Policy for Attendance

Attendance in lectures and tutorials is compulsory. Students who do not meet the 80 % attendance requirement may be given the XX grade.


Course Plan for the first half of the semester

The following table gives a rough plan of the course until the mid-semester examination. Here, the columns marked by [FCCA], [A] and [T-F] respectively indicate the relevant sections from A First Course in Calculus and Analysis by Ghorpade and Limaye, Calculus, Vol. I by Apostol and Calculus and Analytic Geometry (9th Ed.) by Thomas and Finney. The last column indicates an approximate number of lectures that will be devoted to the corresponding topic.


Topics [FCCA] [A] [T-F] No. of Lec.
Numbers and Functions 1.1-1.3 I3, I4, 1.3, 1.4 P.1-P.4, 3.1, 3.4 3
Sequences 2.1 10.2-10.48.1, 8.2 1
Continuity and Limits 3.1-3.3 3.1-3.17 1.1-1.5 2
Differentiation 4.1 - 4.4 4.1-4.14, 7.7-7.17 2.1-2.5, 3.2, 6,6, 6.7 2 & 1/2
Applications of Differentiation 5.1 - 5.4 4.16-4.18 3.3, 3.4, 3.7, 3.8 2 & 1/2
Riemann Integration 6.1 - 6.3 1.16-1.27, 6.1-6.164.5-4.8, 6.2-6.4 4

It will be seen that the course will proceed at a fast pace. Also, even though the students will have some acquaintance with the above topics, the style of presentation is likely to be significantly different from that at the higher secondary level. Thus the students are strongly advised not to miss any lectures and tutorials and put in ample effort so as to ensure that they understand the material presented in the class and are able to solve most of the problems assigned. In case of any difficulties, the students should not hesitate to meet their instructor and/or course associate, preferably during the office hours or by appointment.


Web Page

The above information and a link to the course contents is available on the Internet at:

http://www.math.iitb.ac.in/~srg/courses/ma103

An attempt will be made to keep the above page updated throughout the semester and also provide here some useful links.

File translated from TEX by TTH, version 2.34.
On 19 Jul 2001, 16:25.