Courses in the second Semester

MMT 003 Algebra (4 Credits)

This course has an unusual design. This is because it is built around the knowledge of algebra required for appreciating the applications you will be studying later. The material is currently in the form of wrap around material with Algebra, Second Edition as the text book. Course material in the SLM form is available students who have joined the M.Sc(MACS) programme in January, 2020. The study guides are for students who joined on or before January, 2019.

You can access the study guides and the SLMs here.

MMT-006 Functional Analysis (4 Credits)

In this course we will study families of functions instead of the properties of individual functions. One familiar example of families of functions are the solutions of differential equations. These families have a natural structure of a vector space and have a norm defined on them. Using the norm, we can introduce a topology on such families of functions. There is a nice interplay between the topological aspects and the vector space aspects that leads us to insights regarding these families. This course is in the form of wraparound. Usually a study guide is sent to the students along with a prescribed book. The prescribed book for this course is `Functional Analysis' by B. V. Limaye. We are making available the study guide here.

MMT-008 Probability and Statistics (8 Credits)

This course “Probability and Statistics” is a 8-credit course on Stochastic Processes and Multivariate Analysis. IGNOU undergraduate course “Probability and Statistics” (MTE-11) is a prerequisite for this course. The course consists of eight blocks. The first four blocks of this course are presented to bridge the gap between the theory and applications of stochastic processes. The proofs of theorems which are either too involved or do not help in understanding concepts are omitted. The theorems are supported with applications. In the last four blocks, multivariate analysis has been presented which includes the practical component. This deals with the observation and analysis of two or more than two statistical variables at a time. The practical assignments session-wise are given at the end of corresponding units. The material is available here.