• Prof. Deepika

This is the first mathematics course you will be studying in the Bachelor’s Degree Programme. The aim of this course is to develop an understanding of basic mathematical concepts and techniques that you will require for studying other mathematics courses of the programme, as well as any further study and work you undertake in mathematics. Calculus is divided into two broad areas, differential calculus and integral calculus. Broadly speaking, differential calculus is the study of change and integral calculus is about adding up the parts. Differential calculus helps you to find, for example, the effect of changing conditions on a system being investigated, and hence to gain control over the system. The process of this mathematical investigation uses the powerful technique of modelling the phenomena concerned. The models usually involve differential equations. Differential calculus is useful in formulating models and integral calculus is used to solve the differential equations associated with the model. Apart from well known applications in physics, mathematical models based on calculus are used for the study of population ecology, cybernetics, management practices, economics and medicine.

• Prof. Sujatha Varma
• Dr. Suvankar Biswas

In this course on differential equations, we shall be dealing with both ordinary as well as partial differential equations. For a better understanding of the concepts in the course a good knowledge of calculus is essential. The knowledge of our calculus course BMTC-131 will more or less fulfill your this requirement. Since BMTC-131only deals with a function of one variable, to fill up the gaps, we have added contents on functions of two and more variables in this course. Accordingly, we have divided the material in this course into four blocks.

• Dr. S. Venkataraman

Linear algebra is a fundamental area in mathematics, focusing on the efficient solution of systems of linear equations. The course material introduces matrices, vector spaces, subspaces, basis and dimension, linear transformations, eigenvalues, and inner product spaces. Linear algebra deals with solving systems of linear equations, which is essential in various fields such as optimization and statistics. The concept of linearity is also crucial in differential equations, difference equations, and geometric transformations

• Prof. Deepika
• Dr. Suvankar Biswas

This course analyzed the basic techniques for the efficient numerical solution of problems in science and engineering. Topics spanned root finding, interpolation, approximation of functions, integration, differential equations, direct and iterative methods.