Instructor:  Arvind Ayyer  
Office:  X15 (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 ISBN13  9788126515196 Supplementary Text: Linear Algebra and Its Applications (4th Edition) by Gilbert Strang ISBN13  9780030105678 

Tutorial timings:  Thursday  9:30–10:30am.  
Tutorial rooms:  UG tutorial complex  
Teaching Assistants: 

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 2.12.5  Review of basic set theory   
1  6/8  I 3.13.4  Real Line  Homework 1 posted. 
8/8  I 3.83.11  Upper bound, Supremum  Solutions to Homework 1  
9/8    Quiz 1  Moodle account set up
Solution to Quiz 1 posted 

10/8  10.210.3  Sequences  Homework 2 posted.  
2  13/8  10.510.8  Series  Solutions to Homework 2 
15/8    Holiday  Independence Day 
  
16/8    Quiz 2  Solution to Quiz 2 posted  
17/8  10.1110.14  Tests for convergence  Homework 3 posted.  
3  20/8  10.1510.17  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  10.1810.19  Absolute and conditional convergence  Solutions to Homework 4 
29/8  3.13.2  Limit of a function  
30/8    Quiz 4  Solution to Quiz 4 posted  
31/8  3.33.5  Continuity  Homework 5 posted.  
5  3/9  3.73.9  Bolzano's theorem  Solutions to Homework 5 
5/9  3.103.13  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  4.24.4  Derivatives  Solutions to Homework 6 
12/9  4.104.11  Chain rule  
13/9    Holiday 
  
14/9  4.134.14  Applications of derivatives    
7  17/9  4.164.18  Curve sketching  Homework 7 posted. 
19/9  7.17.3  Taylor's theorem  Solutions to Homework 7  
20/9    Quiz 6  Solution to Quiz 6 posted  
21/9    Holiday 
  
8  24/9  1.61.10  Areas of step functions   
26/9  1.121.16  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 

4/10    Midterm break  No class 
Solutions to Midterm 1  
5/10  1.171.20  Integrals of bounded functions  Homework 8 posted.  
10  8/10    Holiday 
Discussion of Midterm 1 
10/10  1.211.24  Integrals of monotonic functions  Solutions to Homework 8  
11/10    Quiz 7  Solution to Quiz 7 posted  
12/10  1.251.27  Properties of integrals  Homework 9 posted.  
11  15/10  2.22.4  Applications of integration  Solutions to Homework 9 
17/10  2.162.19  Applications of integration  
18/10    Quiz 8  Solution to Quiz 8 posted  
19/10    Holiday 
Homework 10 posted.  
12  22/10  3.173.20  Integration of continuous functions  Solutions to Homework 10 
24/10  5.15.4  Fundamental theorems of calculus  
25/10    Quiz 9  Solution to Quiz 9 posted  
26/10  5.65.10  Techniques of integration  Homework 11 posted.  
13  29/10  6.3, 6.126.15
6.23, 7.57.6 
Logarithmic and exponential functions
Partial fractions, Taylor series 
Solutions to Homework 11 
31/10  15.215.4  Vector spaces  
1/11    Second Midterm 
Solutions to Midterm 2  
2/11  15.615.8  Subspaces and bases  Homework 12 posted.  
14  5/11  15.1015.11  Euclidean spaces  Solutions to Homework 12 
7/11    Holiday 

8/11    Quiz 10  Solution to Quiz 10 posted  
9/11  16.116.2  Linear transformations  Homework 13 posted.  
10/11  16.316.5  Ranknullity theorem  Solutions to Homework 13  
15  12/11  16.6  Inverses of functions  
14/11  16.716.10  Matrix representations  
15/11    Quiz 11  Solution to Quiz 11 posted  
16/11  16.1316.14  Vector space of matrices  Homework 14 posted.  
16  19/11  16.1516.18  Solving systems of linear equations  Solutions to Homework 14 
21/11    Holiday 

22/11    Quiz 12  Solution to Quiz 12 posted  
23/11    Holiday 
  
3/12    Final Exam, 9:30am12:30pm 
 