Learn fundamental theorems such as Hahn Banach theorem, uniform boundedness principle, the open mapping theorem and the closed graph theorem
- Teacher: Prasad T FACULTY
On successful completion of the course students will be able to:
CO 1: Explore basic properties of vector spaces
CO 2: Find the relation between linear transformations and matrices
CO 3: Evaluate the concept of diagonalizable and triangulable operators and various fundamental results of these operators
CO 4: Describe Primary decomposition Theorem, cyclic decomposition and rational form and Jordan Foam
CO 5: Determine basic properties inner product spaces
- Teacher: Prasad T FACULTY
- For the Complementary paper MTS2 C02 Mathematics- 2 of Integrated BSc-MSc Physics and Chemistry
- Based on Advanced Engineering Mathematics by Dennis G. Zill
- For second semester students of 2021 admission
- Teacher: Preethi Kuttipulackal FACULTY
No. of Credits: 3
Course Outcome: Upon the successful completion of the course students will:
• Learn the existence of uniqueness of solutions for a system of first order ODEs.
• Learn many solution techniques such as separation of variables, variation of parameter
power series method, Frobeniious method etc.
• Learn method of solving system of first order differential calculus equations.
• Get an idea of how to analyze the behavior of solutions such as stability, asymptotic
stability etc.
• Get a basic knowledge of Calculus of variation.
TEXT: SIMMONS, G.F., DIFFERENTIAL EQUATIONS WITH APPLICATIONS AND
HISTORICAL NOTES, New Delhi, 1974.
- Teacher: Prasad T FACULTY
Course Outcome: Upon the successful completion of the course students will:
• Be able to apply Sylow’s theorem effectively in various contexts.
• Learn automorphisms of fields.
• Get a basic knowledge in Galois Theory.
• Learn how to apply Galois Theory in various contexts.
- Teacher: Dr Sini P. FACULTY
- Algorithms play the central role both in the science and practice of computing.
-Algorithmics is more than a branch of computer science. It is the core of computer science, and, in all fairness, can be said to be relevant to most of science, business, and technology.
- Teacher: Shahina k m FACULTY
1. To generalise the concept of integration
- Teacher: Raji Piakkat FACULTY
Stochastic processes is a 4 credit core course of the M.Sc. Statistics programme of the
University of Calicut.
The purpose of this course is to equip students with theoretical knowledge and practical skills, which are necessary for the analysis of stochastic dynamical systems in physical sciences, economics, engineering and other fields.
Specific objectives are
- study of the basic concepts of the theory of stochastic processes;
- introduction of the most important types of stochastic processes;
- study of various properties and characteristics of processes;
- study of the methods for describing and analyzing complex stochastic models.
Practical skills, acquired during the study process:
- understanding the most important types of stochastic processes (Poisson, Markov, Gaussian, Wiener processes and others) and ability of finding the most appropriate process for modelling in particular situations arising in economics, engineering and other fields;
- understanding the notions of ergodicity, stationarity, application of these terms in real life contexts;
Pre-requisites of this course:
It is assumed that the students are familiar with the basics of probability theory. Knowledge of the basics of mathematical statistics simplifies the understanding of this course.
The course provides a necessary theoretical basis for studying other courses in stochastics, such as financial mathematics, quantitative finance, stochastic modeling and the theory of queues/inventory/reliability.
- Teacher: Dr. M. Manoharan FACULTY
Objectives
- Introduces Galois theory
- Applications in solvability of polynomials
Intended students
- This course is meant for the II Semester MSc. Mathematics students of Calicut University Department of Mathematics
- Teacher: Preethi Kuttipulackal FACULTY