Information information
Course  Numerical Analysis for BStat (First Year, Second Semester) 
Instructor  Sourav Sen Gupta, R C Bose Centre, ISI Kolkata 
Lectures  Tuesday (14:00  16:00) and Friday (11:00  13:00) 
Office Hours  Tuesday (16:30  18:00)  following the lecture session 
Marks  Assignments : MidSem : EndSem = 25% : 25% : 50% 
Essential Resources
It is advised to follow these resources closely throughout the duration of this course.Category  Resource  Code 

Textbook  Elementary Numerical Analysis  An Algorithmic Approach
Samuel Conte and Carl de Boor (McGrawHill Education) 
(T1) 
Reference  Numerical Algorithms  by Justin Solomon
(available as a PDF document at this link) 
(R1) 
Coding  A (very) short introduction to R  by Paul Torfs and Claudia Brauer
(available as a PDF document at this link) 
(C1) 
Optional Resources
In case you want to stay a bit ahead of the lectures, you may follow these resources at your leisure.Category  Resource  Links 

Course  Mathematical Methods (Stanford)  by Justin Solomon
(lovely set of lecture videos and course material) 
Course 
Reference  Numerical Linear Algebra  by Lloyd N. Trefethen and David Bau
(really nice book, organized as a series of lectures) 
NA 
Lectures lectures
The course constitutes of approximately 48 contact hours (24 classes) of Instructional Sessions.28 hours (14 classes) will be conducted as Lectures at Classroom 524, 5th Floor, S N Bose Building.
20 hours (10 classes) will be conducted as Lab Sessions at CSSC Lab I, 4th Floor, S N Bose Building.
#  Date  Topic  Links  Reference  

1  05.01.16  Intro to Numerical Analysis  Video    
2  14.01.16  Numerics and Error Analysis
Scribe [PDF] 
Video  (T1) Chap. 1
(R1) Chap. 2 

3  18.01.16  Linear Algebra Review
Scribe [PDF] 
Video
Paper 
(T1) Sec 4.1
(R1) Chap. 1 

4  21.01.16  Basics of LaTeX (informal)  Wiki  Cheatsheet  
5  29.01.16  Matrix Norms and SVD  Paper  (R1) Chap. 7  
6  02.02.16  LU Factorization
Scribe [PDF] 
Video 1
Video 2 
(T1) Sec 4.2  4.4
(R1) Chap. 3 

7  03.02.16  Eigenvalues and Eigenvectors  Video  (T1) Sec 4.8
(R1) Chap. 6 

8  05.02.16  GramSchmidt method for QR
Scribe [PDF] 
Video  (R1) Chap. 5  
9  09.02.16  SVD and QR Iteration
R Code  Image 
Video  (T1) Sec 4.8
(R1) Chap. 6 

10  10.02.16  Householder method for QR  Video 1
Video 2 
(R1) Chap. 5  
11  15.02.16  Conditioning and Stability  Video 1
Video 2 
(T1) Sec 4.5
(R1) Sec 4.3 

12  19.02.16  Recap for MidSem Exam  Sample Question for MidSem  
Break : 22  26 Feb 2016  MidSem Exam (22.02.16)  MidSem Question Paper  
13  29.02.16  Solving NonLinear Equations
(bisection, fixed point) 
Video  (T1) Chap. 3
(R1) Chap. 8.1 

14  04.03.16  Solving NonLinear Equations
(NewtonRaphson, secant) 
Video  (T1) Chap. 3
(R1) Chap. 8.1 

15  09.03.16  Minimizing Functions
(gradient descent) 
Video 1
Video 2 Video 3 
(T1) Chap. 5.1
(R1) Chap. 9.4.1 

16  11.03.16  Minimizing Functions
(Newton, Goldensection) 
Video 1
Video 2 
(T1) Chap. 5.2
(R1) Chap. 9.3 

17  15.03.16  Polynomial Interpolation
(basis for interpolation) 
Video  (T1) Chap. 2.12
(R1) Chap. 13.1 

18  18.03.16  Polynomial Interpolation
(piecewise interpolation) 
Video  (T1) Chap. 2.3
(R1) Chap. 13.1 

19  21.03.16  Numerical Integration  Video  (T1) Chap. 7.2
(R1) Chap. 14.2 

20  29.03.16  Numerical Integration
and Differentiation 
Video  (T1) Chap. 7.2
(R1) Chap. 14.2 

21  31.03.16  Numerical Differentiation  Video  (T1) Chap. 7.1
(R1) Chap. 14.3 

22  05.04.16  Solution of ODEs
(basics and Euler methods) 
Video 1
Video 2 Video 3 
(T1) Chap. 8.14
(R1) Chap. 15.3 

23  12.04.16  Solution of ODEs
(Euler and RungeKutta) 
Video 1
Video 2 
(T1) Chap. 8.5
(R1) Chap. 15.3 

Break : 16  24 Apr 2016  EndSem Exam (04.05.16)  ClosedNotes/ClosedBook Test 
Assignments assignments
Assignments constitute 25% of the total marks, including group scribing for lecture notes.Assignment  Files  Posted on  Clarification  Submission  Points 

Assignment 1  PDF  TeX  25 Jan 2016  02 Feb 2016  05 Feb 2016  150 
Assignment 2  PDF  TeX  12 Feb 2016  16 Feb 2016  01 Mar 2016  50 
Resources for Scribes
It is preferred that the scribes are typeset in LaTeX  but it is NOT mandatory at all. In case you are not comfortable with LaTeX, or do not want to spend the time to learn it, no worry  submit the scribes as neatly handwritten documents. In case you want to scribe in LaTeX, use the following resources.LaTeX template for scribes : scribe_template.zip  Instructions : scribe_template.pdf
LaTeX resources and help : LaTeX Wikibooks  Basic LaTeX commands : LaTeX cheatsheet
Tests tests
The tests constitute 75% of the total marks. There will be two tests  MidSem and EndSem  over the duration of the course, and both the scores will be counted towards the computation of the final grade.Test  Weight  Date  Format 

MidSem  25%  22 Feb 2016  Sample Question for MidSem
MidSem Question Paper 
EndSem  50%  04 May 2016  EndSem Question Paper 
Reach Sourav
sg.[firstname]@gmail.com+91 94323 44852 (email preferred)
Room 404, 3rd Floor, Deshmukh Building
Updates
 EndSem Examination : 04 May 2016.
 Class cancelled : 15 April 2016.
 Class cancelled : 08 April 2016.
 Extra class : 31 March 2016.
 Class cancelled : 01 April 2016.
 No class (Holiday) : 25 March 2016.
 Extra class : 21 March 2016.
 Class cancelled : 22 March 2016.
 Extra class : 09 March 2016.
 Class cancelled : 08 March 2016.
 Class cancelled : 01 March 2016.
 Extra class : 29 February 2016.
 Assignment 2 posted : Due on 01 Mar.
 MidSem Examination : 22 Feb 2016.
 Class cancelled : 16 February 2016.
 Extra class : 15 February 2016.
 No class (Holiday) : 12 February 2016.
 Extra class : 10 February 2016.
 Assignment 1 posted : Due on 5 Feb
 Extra class : 3 February 2016.
 No class (Holiday) : 26 January 2016.
 No class (Integration) : 22 January 2016.
 Extra class : 21 January 2016.
 Class cancelled : 19 January 2016.
 Extra class : 18 January 2016.
 No class (Convocation) : 15 January 2016.
 Extra class : 14 January 2016.
 Class cancelled : 12 January 2016.
 Class cancelled : 8 January 2016.
 Course website is now online.
References
 (T1) Elementary Numerical Analysis
Samuel Conte and Carl de Boor
McGrawHill Education (India)  (R1) Numerical Algorithms
Justin Solomon
Available online at this link 
(C1) A (very) short introduction to R
Paul Torfs and Claudia Brauer
Available online at this link