1. Event : crash course
Dear All,
Greetings from the IISc-SIAM student chapter! Hope you are keeping well.
The IISc - SIAM
student chapter aims to encourage academic activities--- such as
technical talks, lecture series, workshops etc.--- related to applied
mathematics or areas which cooperate between mathematics, science, and
technology.
We plan to start off our activities for the academic year 2021-2022
with a crash course targeted towards newly admitted students. The
details of the crash course are given below.
Date: 28 August 2021, Saturday
Schedule:
From Coffee Space to Vector Space: Foundations of Linear Algebra - Harikrishnan N. B.
10:30 am-12:00 pm
A Lesson on Chance: Probability- Theory and Applications - Sahasranand K. R.
02:00 pm - 03:30 pm
An ODE to Differential Equations - Prof. T. Srinivas
04:00 pm - 05:30 pm
More details:
Course 1
Title: From Coffee Space to Vector Space: Foundations of Linear Algebra
Instructor: Harikrishnan N. B., PhD student, Consciousness Studies Programme, NIAS.
Abstract: The key problem in Linear Algebra is to solve a linear system
of equations. Apart from solving, there is great beauty in visualizing
the row and column picture of the linear system of equations. To
uncover this beauty, we start with the interpretation of row and column
pictures of a linear system of equations. Following that, we introduce
the concepts of vector space, basis, dimension, independence,
eigenvalues, eigenvectors, and orthogonality. These concepts are
foundational for learning linear regression and other advanced topics in
Machine Learning. If time permits, we will also address spectral
decomposition and its applications.
Course 2
Title: A Lesson on Chance: Probability- Theory and Applications
Instructor: Sahasranand K. R., PhD student, Dept. of ECE, IISc.
Abstract: Theory of probability is about reasoning in uncertainty.
Engineering involves mathematical modelling of various phenomena, and
the uncertainty in these can be modelled by appropriate probabilistic
objects. The goal of this course is to introduce students to the basics
of probability theory, starting from axiomatic definitions, random
variables, expectation, law of large numbers, and an instance of a
concentration bound.
Course 3
Title: An ODE to Differential Equations
Instructor: Prof. T. Srinivas, Dept. of ECE, IISc
Abstract: In this course, we will cover a subset of topics from the
chapters of Part A from Kreyszig's book [1]. In particular, we will
touch upon first order equations, second order equations, linear
equations, systems of equations, series solutions and Laplace transform
techniques to solve differential equations.
[1] E. Kreyszig, Advanced Engg. Mathematics, 10th ed., Wiley India, 2015
All are welcome !!
Regards
IISc-SIAM student chapter
