Instructor: | Arvind Ayyer | |||||||||||||||||||||||||||||||||||
Office: | X-15 (new wing) | |||||||||||||||||||||||||||||||||||
Office hours: | Thursdays, 5:00–6:00pm. | |||||||||||||||||||||||||||||||||||
Phone number: | (2293) 3215 | |||||||||||||||||||||||||||||||||||
Email: | (First name) at iisc dot ac dot in | |||||||||||||||||||||||||||||||||||
Class Timings: | Monday, Wednesday and Friday -- 12:00–1:00pm. | |||||||||||||||||||||||||||||||||||
Classroom: | UG Lecture Hall | |||||||||||||||||||||||||||||||||||
Textbook: |
Calculus Vol. 1 (Second edition)
by Tom M. Apostol ISBN-13 - 9-788126-515196 Supplementary Text: Linear Algebra and Its Applications (4th Edition) by Gilbert Strang ISBN-13 - 9-780030-105678 |
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Tutorial timings: | Thursday -- 9:30–10:30am. | |||||||||||||||||||||||||||||||||||
Tutorial rooms: | UG tutorial complex | |||||||||||||||||||||||||||||||||||
Teaching Assistants: |
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The date for the midterm and final will be announced later.
Here are the weights for the homework and exams.
All marks will be posted online
on Moodle.
week | date | sections | material covered | homework and other notes |
0 | 3/8 | I 2.1-2.5 | Review of basic set theory | - |
1 | 6/8 | I 3.1-3.4 | Real Line | Homework 1 posted. |
8/8 | I 3.8-3.11 | Upper bound, Supremum | Solutions to Homework 1 | |
9/8 | - | Quiz 1 | Moodle account set up
Solution to Quiz 1 posted |
|
10/8 | 10.2-10.3 | Sequences | Homework 2 posted. | |
2 | 13/8 | 10.5-10.8 | Series | Solutions to Homework 2 |
15/8 | - | Holiday - Independence Day |
- | |
16/8 | - | Quiz 2 | Solution to Quiz 2 posted | |
17/8 | 10.11-10.14 | Tests for convergence | Homework 3 posted. | |
3 | 20/8 | 10.15-10.17 | Ratio and root tests, Leibniz rule | Solutions to Homework 3 |
22/8 | - | Holiday |
- | |
23/8 | - | Quiz 3 | Solution to Quiz 3 posted | |
24/8 | - | Holiday |
Homework 4 posted. | |
4 | 27/8 | 10.18-10.19 | Absolute and conditional convergence | Solutions to Homework 4 |
29/8 | 3.1-3.2 | Limit of a function | ||
30/8 | - | Quiz 4 | Solution to Quiz 4 posted | |
31/8 | 3.3-3.5 | Continuity | Homework 5 posted. | |
5 | 3/9 | 3.7-3.9 | Bolzano's theorem | Solutions to Homework 5 |
5/9 | 3.10-3.13 | Intermediate value theorem | ||
6/9 | - | Quiz 5 | Solution to Quiz 5 posted | |
9/9 | 3.16 | Extreme value theorem | Homework 6 posted. | |
6 | 10/9 | 4.2-4.4 | Derivatives | Solutions to Homework 6 |
12/9 | 4.10-4.11 | Chain rule | ||
13/9 | - | Holiday |
- | |
14/9 | 4.13-4.14 | Applications of derivatives | - | |
7 | 17/9 | 4.16-4.18 | Curve sketching | Homework 7 posted. |
19/9 | 7.1-7.3 | Taylor's theorem | Solutions to Homework 7 | |
20/9 | - | Quiz 6 | Solution to Quiz 6 posted | |
21/9 | - | Holiday |
- | |
8 | 24/9 | 1.6-1.10 | Areas of step functions | - |
26/9 | 1.12-1.16 | Integrals of step functions | - | |
27/9 | - | First Midterm |
UG Building II
(Old Physics Building) |
|
28/9 | - | Midterm break - No class |
- | |
9 | 1/10 | - | Midterm break - No class |
- |
3/10 | - | Midterm break - No class |
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4/10 | - | Midterm break - No class |
Solutions to Midterm 1 | |
5/10 | 1.17-1.20 | Integrals of bounded functions | Homework 8 posted. | |
10 | 8/10 | - | Holiday |
Discussion of Midterm 1 |
10/10 | 1.21-1.24 | Integrals of monotonic functions | Solutions to Homework 8 | |
11/10 | - | Quiz 7 | Solution to Quiz 7 posted | |
12/10 | 1.25-1.27 | Properties of integrals | Homework 9 posted. | |
11 | 15/10 | 2.2-2.4 | Applications of integration | Solutions to Homework 9 |
17/10 | 2.16-2.19 | Applications of integration | ||
18/10 | - | Quiz 8 | Solution to Quiz 8 posted | |
19/10 | - | Holiday |
Homework 10 posted. | |
12 | 22/10 | 3.17-3.20 | Integration of continuous functions | Solutions to Homework 10 |
24/10 | 5.1-5.4 | Fundamental theorems of calculus | ||
25/10 | - | Quiz 9 | Solution to Quiz 9 posted | |
26/10 | 5.6-5.10 | Techniques of integration | Homework 11 posted. | |
13 | 29/10 | 6.3, 6.12-6.15
6.23, 7.5-7.6 |
Logarithmic and exponential functions
Partial fractions, Taylor series |
Solutions to Homework 11 |
31/10 | 15.2-15.4 | Vector spaces | ||
1/11 | - | Second Midterm |
Solutions to Midterm 2 | |
2/11 | 15.6-15.8 | Subspaces and bases | Homework 12 posted. | |
14 | 5/11 | 15.10-15.11 | Euclidean spaces | Solutions to Homework 12 |
7/11 | - | Holiday |
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8/11 | - | Quiz 10 | Solution to Quiz 10 posted | |
9/11 | 16.1-16.2 | Linear transformations | Homework 13 posted. | |
10/11 | 16.3-16.5 | Rank-nullity theorem | Solutions to Homework 13 | |
15 | 12/11 | 16.6 | Inverses of functions | |
14/11 | 16.7-16.10 | Matrix representations | ||
15/11 | - | Quiz 11 | Solution to Quiz 11 posted | |
16/11 | 16.13-16.14 | Vector space of matrices | Homework 14 posted. | |
16 | 19/11 | 16.15-16.18 | Solving systems of linear equations | Solutions to Homework 14 |
21/11 | - | Holiday |
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22/11 | - | Quiz 12 | Solution to Quiz 12 posted | |
23/11 | - | Holiday |
- | |
3/12 | - | Final Exam, 9:30am-12:30pm |
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