IST - Mathematics for Data Science (2023)
Speakers and Syllabus
|
Name of the Instructor/ Tutor Affiliation |
Topic/ Number of Hours of Lectures |
Detailed Syllabus |
|
Instructor: Bhaskar Chaudhury (BC)
Tutor: Preetam Anand (PA) |
Probability Theory/ 9 |
Probability Space, Conditional Probability& Independence, Conditional Independence, Random Variables & Common Probability Distributions, Weak Law of Large Numbers, Central Limit Theorems, Markov Chains |
|
Instructor: Tathagata Bandyopadhyay (TB)
Tutor: Gaurav Singh (GS) |
Statistical Foundation of Data Science/ 9 |
Data Visualization, Descriptive Statistics, Sampling & Monte Carlo Methods, Statistical Inference (Both Likelihood based and Bayesian), Linear and Logistic Regression, Dimension Reduction Techniques |
|
Instructor: Gaurangadeb Chattopadhyay (GC)
Tutor: Arpit Rana (AR) |
Linear Algebra/ 9 |
Vector Spaces, Linear Independence, Basis and Ranks, Norms, Angles and Orthogonality, Orthogonal Projections, Determinants & Matrices, Eigen Values and Eigen Vectors, Spectral Decomposition, Singular Value Decomposition |
|
Instructor: Anirban Dasgupta (AD) Tutor: Rachit Chaya (RC) |
Optimization/ 9 |
Partial Differentiation and Gradients, Gradients Based Optimization, Constrained Optimization & Lagrange Multipliers, Convex Optimization |
Name of the tutors/Affiliation
- Anirban Dasgupta (AD)
N Rama Rao Chair Professor, Computer Science & Engineering
IIT Gandhinagar
Gandhinagar, Gujarat, India - Gaurangadeb Chattopadhyay (GC)
Professor, Department of Statistics
University of Calcutta
Kolkata, India - Bhaskar Chaudhury (BC)
Associate Dean (Academic Programmes), DA-IICT - Tathagata Bandyopadhyay (TB)
Distinguished Professor, DA-IICT - Gaurav Singh (GS)
Adjunct Professor, DA-IICT - Rachit Chaya (RC)
Asst Professor, DA-IICT - Preetam Anand (PA)
Asst Professor, DA-IICT - Arpit Rana (AR)
Asst Professor, DA-IICT
Time Table
Tentative Time-Table (January 2, 2023 – January 14, 2023, except January 8)
|
Day |
Date |
Lecture -1 (9:30 am-11:00 am) |
Lecture -2 (11:30 am-1:00 pm) |
Tutorial -1 (2:30 pm-3:30 pm) |
Tutorial-2 (4:00 pm-5:00 pm) |
|
Mon |
January 2 |
TB |
TB |
TB+GS |
TB+GS |
|
Tues |
January 3 |
TB |
TB |
TB+GS |
TB+GS |
|
Wed |
January 4 |
TB |
TB |
TB+GS |
TB+GS |
|
Thu |
January 5 |
BC |
BC |
BC+PA |
BC+PA |
|
Fri |
January 6 |
BC |
BC |
BC+PA |
BC+PA |
|
Sat |
January 7 |
BC |
BC |
BC+PA |
BC+PA |
|
Mon |
January 9 |
GC |
GC |
GC+AR |
GC+AR |
|
Tues |
January 10 |
GC |
GC |
GC+AR |
GC+AR |
|
Wed |
January 11 |
GC |
GC |
GC+AR |
GC+AR |
|
Thu |
January 12 |
AD |
AD |
AD+RC |
AD+RC |
|
Fri |
January 13 |
AD |
AD |
AD+RC |
AD+RC |
|
Sat |
January 14 |
AD |
AD |
AD+RC |
AD+RC |