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 
  
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  
11/10    Quiz 7    
12/10  1.251.27  Properties of integrals  Homework 9 posted.  
11  15/10  2.22.4  Applications of integration   
17/10  2.162.19  Applications of integration  
18/10    Quiz 8    
19/10    Holiday 
  
12  22/10  3.173.20  Integration of continuous functions   
24/10  5.15.4  Fundamental theorems of calculus  
25/10      
26/10  5.65.10  Techniques of integration    
13  29/10  6.3, 6.126.15
6.23, 7.57.6 
Logarithmic and exponential functions
Partial fractions, Taylor series 
 
31/10  15.215.4  Vector spaces  
1/11    Second Midterm 
  
2/11  15.615.8  Subspaces and bases    
14  5/11  15.1015.11  Euclidean spaces   
7/11    Holiday 

8/11      
9/11  16.116.2  Linear transformations    
15  12/11  16.316.5  Ranknullity theorem   
14/11  16.6  Inverses of functions  
15/11      
16/11  16.716.10  Matrix representations    
16  19/11  16.1316.14  Vector space of matrices   
21/11    Holiday 

22/11      
23/11    Holiday 
  
17  26/11  16.1516.17  Systems of equations   
28/11  16.18  Solving linear systems    
29/11    
18  ?/12    Final Exam 
 