ISI-CMI Entrance Program 2018-19

Lecture Hours

Group A - Sunday (9.30 PM - 11.05 PM)

Group B - Monday (9.30 PM - 11.05 PM)

Schedule

December

• Dec 30-31 [Winter Break]
• Dec 23-24 - Continuity.
• Dec 16-17 - Continuity.
• Dec 9-10 - Limit of a function.
• Dec 2-3 - Limit of a function.

November

• Dec 2/3 (Test XI) - MCQ
• Nov 25-26 - Limit of a sequence.
• Nov 18-19 (HW XI.2 due) - Limit of a sequence.
• The class was divided into two groups - A and B.
• Nov 11 - Limit of a sequence.
• Nov 4 (HW XI.1 due) Discussed Test X.

October

• Review: We covered some topics in Pre-calculus. The class average was 104/200, while the average score on Test X was 55/135.
• Oct 29/30 (Test X) - Slots: 7 PM, 9 PM (Mon), 9 PM (Tue)
• Oct 28 (HW X.1 due, Q X.1) - Graphs of Functions
• Oct 21 [Durga Pujo - Holiday]
• Oct 14 - Real Numbers and Functions.
• Oct 7 - We discussed the Art of Writing Mathematics.

September

• Review: The class average in the month was 147/200, while the average score on Test IX was 40/75.
• Oct 1 (Test IX) - Slots: 7.00 PM, 9.00 PM, 10.00 PM
• Sep 30 - Motivated Calculus
• Sep 23 [Guest Lecture - Sauvik] - Some problems on inequalities were discussed.
• Sep 16 (HW IX.2 due) - Discussed HW IX.2. Solved problem 44.
• Sep 9 (Q IX.1) - Discussed HW IX.1.
• Sep 2 (HW IX.1 due) - Discussed test taking strategies.

August

• Review: We covered the topics Inequalities from TOMATO. The class average in the month was 140/200, while the average score on Test VIII was 52/90.
• Aug 27 (Test VIII) - Slots: 7.00 PM, 9.30 PM
• Aug 26 - Discussed part of HW VIII.1. Solved problems 9, 83, 84, 182.
• Aug 19 (HW VIII.1 due, Q VIII.1) - Discussed HW VII.2, Solved another problem from PHP.
• Aug 12 - Discussed Test VII, Introduced Graph Theory and solved a problem on PHP.
• Aug 5 - Solved problems 77, 78, 79, 80, 82.

July

• Review: We covered the topics Sets and Relations and Combinatorics from TOMATO. The class average in the month was 114/200, while the average score on Test VII was 36/75.
• July 30 (Test VII) - Slots: 7.00 PM, 8.00 PM, 10.00 PM
• July 29 (HW VII.2 due) - Solved problems 47, 55.
• July 22 (Q VII.1 - Starts at 9 PM) - Solved problems 54, 58, 60.
• July 16 (HW VII.1 due) [Resch. 10-11.35 PM] - Discussed HW, solved problems 51 (a), 52, 53, 59.
• July 8 - Solved problems 186, 187, 188.
• July 1 - Orientation. Solved problems 46, 49, 50, 185.

Links

• Course Page
• Classroom
• Course Folder

Syllabus

Calculus

• Introduction - Real numbers, variables, functions, graphs of functions.
• Limits and continuity - Sequences, functions, continuity and discontinuity.
• Differentiation
• Applications of Differentiation
• Integration - Indefinite Integral
• Integration - Definite Integral
• Applications of Definite Integral

Problems from TOMATO

• Sets and Relations
• Combinatorics
• Inequalities
• Calculus

Italics: Topic completed

Approximate Grading Scheme (Monthly)

• Attendance: 5 points x 4 = 20 points
• Quiz: 20 points x 1 = 20 points
• Homework: 30 points x 2 = 60 points
• Test: 100 points x 1 = 100 points

TOTAL: 200 points

References

• Agarwal - Play With Graphs - Arihant
• Bartle, Sherbert - Introduction to Real Analysis - Wiley
• Maron - Problems in Calculus of One Variable - Mir
• Test of Mathematics at the 10+2 Level (TOMATO) - Indian Statistical Institute - It is mandatory to possess a copy as problems will be assigned from this regularly. The latest version is available here (Amazon).

Structure

• Attendance is mandatory.
• There are two HW's in a month, one due in the middle and one at the end.
• There will be a quiz in the middle of the month based on the first HW.
• There will be a test at the end of the month based on everything taught in the month.