24 monthsProgramme duration
JulStarting Month
Programme overview
Main Subject
Mathematics
Degree
MSc
Study Level
Masters
Study Mode
On Campus
In the core course of MATH615 of Semester II, the focus is Ordinary Differential Equations. Differential equations are a significant area of mathematics that hold a core position from which numerous branches of study as well as applications in the scientific and technical fields branch out in all directions. This course aims to give students a more straightforward and methodical approach to solving a variety of ordinary differential equations and boundary value issues. Functional Analysis is taught under the code of MATH625. The goal of this course is to acquaint students with the fundamental ideas, theories, and techniques of functional analysis as well as its various applications. In its broadest meaning, functional analysis offers a unifying framework for several fields, including approximation theory, complex function theory, Fourier analysis, differential equations, and integral equations. In MATH532, Lebesgue Measure is taught. This Real Analysis course is at an advanced level. This course aims to provide an introduction to measure theory and integration in relation to the concept of measure. This course provides a basis for courses in probability theory, harmonic analysis, and functional analysis. Mathematical Statistics, under the code of STAT653, is a highly crucial course of the second semester that consists of lecture as well as practical. The primary aim of the course is to impart comprehensive understanding of random variables and their applications to diverse probability distributions. Also, it intends to provide an example of how to analyse and interpret the provided data using fundamental statistical tools.
In Semester III, the core as well as specialization elective courses are there. MATH634: Partial Differential Equations and Boundary Value Problems aims to address the within the Pure Mathematics discipline. Another core course is Problems with Boundary Value and Partial Differential Equations (MATH634). Specialization electives consist of Theory of Wavelets (MATH605), Algebraic Number Theory (MATH703), Special Functions (MATH704), Queuing and Reliability Theory (MATH721), and Fuzzy Sets and Their Applications (MATH722) are the electives from the specialization. Students choose their suitable paper from this.
Semester IV consists of Major Project STMJ600 of 19 credit units, under the category of Supervised Independent Learning/ Non-Teaching Credit Courses. Students will have the chance to create and demonstrate the use of skills related to data collecting, critical analysis, and concept synthesis that are important for the formation of findings that can be defended in court in this course. It also offers a stage for showcasing the capacity to formulate well-reasoned conclusions based on the data offered and a venue for showcasing the abilities to organise and deliver a coherent, well-informed, succinct, and clear written argument.
Today, mathematics is a vital tool in many domains, including natural science, engineering, medicine, and the social sciences, used all around the world. The courses intend to deliver outcomes towards new mathematical discoveries that are inspired by and utilised by applied mathematics, the area of mathematics that deals with applying mathematical knowledge to other domains. The course outcomes are also intended to spark the creation of completely new sciences. Although practical applications for what started out as pure mathematics are frequently discovered later, the students also engage in pure mathematics, or mathematics for its own sake, with any application in mind.
Programme overview
Main Subject
Mathematics
Degree
MSc
Study Level
Masters
Study Mode
On Campus
In the core course of MATH615 of Semester II, the focus is Ordinary Differential Equations. Differential equations are a significant area of mathematics that hold a core position from which numerous branches of study as well as applications in the scientific and technical fields branch out in all directions. This course aims to give students a more straightforward and methodical approach to solving a variety of ordinary differential equations and boundary value issues. Functional Analysis is taught under the code of MATH625. The goal of this course is to acquaint students with the fundamental ideas, theories, and techniques of functional analysis as well as its various applications. In its broadest meaning, functional analysis offers a unifying framework for several fields, including approximation theory, complex function theory, Fourier analysis, differential equations, and integral equations. In MATH532, Lebesgue Measure is taught. This Real Analysis course is at an advanced level. This course aims to provide an introduction to measure theory and integration in relation to the concept of measure. This course provides a basis for courses in probability theory, harmonic analysis, and functional analysis. Mathematical Statistics, under the code of STAT653, is a highly crucial course of the second semester that consists of lecture as well as practical. The primary aim of the course is to impart comprehensive understanding of random variables and their applications to diverse probability distributions. Also, it intends to provide an example of how to analyse and interpret the provided data using fundamental statistical tools.
In Semester III, the core as well as specialization elective courses are there. MATH634: Partial Differential Equations and Boundary Value Problems aims to address the within the Pure Mathematics discipline. Another core course is Problems with Boundary Value and Partial Differential Equations (MATH634). Specialization electives consist of Theory of Wavelets (MATH605), Algebraic Number Theory (MATH703), Special Functions (MATH704), Queuing and Reliability Theory (MATH721), and Fuzzy Sets and Their Applications (MATH722) are the electives from the specialization. Students choose their suitable paper from this.
Semester IV consists of Major Project STMJ600 of 19 credit units, under the category of Supervised Independent Learning/ Non-Teaching Credit Courses. Students will have the chance to create and demonstrate the use of skills related to data collecting, critical analysis, and concept synthesis that are important for the formation of findings that can be defended in court in this course. It also offers a stage for showcasing the capacity to formulate well-reasoned conclusions based on the data offered and a venue for showcasing the abilities to organise and deliver a coherent, well-informed, succinct, and clear written argument.
Today, mathematics is a vital tool in many domains, including natural science, engineering, medicine, and the social sciences, used all around the world. The courses intend to deliver outcomes towards new mathematical discoveries that are inspired by and utilised by applied mathematics, the area of mathematics that deals with applying mathematical knowledge to other domains. The course outcomes are also intended to spark the creation of completely new sciences. Although practical applications for what started out as pure mathematics are frequently discovered later, the students also engage in pure mathematics, or mathematics for its own sake, with any application in mind.
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