About the Department Mathematics

The Department of Chemistry is one of the oldest departments of Karanthai Tamil Sangam, established in the year 1987.In the same year itself Mathematics was introduced as an allied subject to provide students with a strong foundation in mathematical concepts and techniques , which are essential for understanding and applying chemical principles. Mathematics is very useful in calculating the energy in the reactions, quantities of reactants as well as in the compression of gases. Some of the mathematical features of chemistry include exponents, scientific notation, and orders of operation, algebra, unit conversion, and dimensional analysis Logic and abstraction underpins every facet of chemistry. Allied mathematics for chemistry is the use of mathematical concepts and techniques to understand and work with chemical concepts. It's a crucial part of physical and organic chemistry. Mathematics is a fundamental tool for chemists, and its importance cannot be overstated. It provides a framework for understanding and describing chemical phenomena, and is essential for making predictions, analyzing data, and solving problems in chemistry.

Vision

To be a leading department in integrating mathematical concepts and techniques into chemistry education and research, fostering a deep understanding of the underlying principles and mechanisms of chemical phenomena, and inspiring students to become innovative and critical thinkers in the field of chemistry.

Mission

The mission of mathematics in the Department of Chemistry is to:

• Provide a strong foundation: in mathematical concepts and techniques, enabling students to understand and apply chemical principles and theories.
• Develop problem-solving skills: by using mathematical models and techniques to analyze and interpret chemical data, and to design and optimize experiments.
• Foster critical thinking: by encouraging students to think critically and creatively, and to approach complex chemical problems from a mathematical perspective.
• Support research and innovation: by providing mathematical tools and techniques to faculty and students, enabling them to pursue cutting-edge research and develop innovative solutions to chemical problems.
• Collaborate with other disciplines: to promote interdisciplinary research and education, and to demonstrate the importance of mathematics in chemistry and other fields.
• Stay current with emerging trends: by incorporating new mathematical concepts and techniques into the curriculum, and by providing opportunities for students and faculty to engage with emerging areas of research, such as computational chemistry and data science.

By achieving this mission, the Department of Chemistry aims to produce graduates who are well-prepared to pursue careers in chemistry and related fields, and who are equipped with the mathematical skills and knowledge to make significant contributions to the field.

Course Outcomes:

After completing this course, the students will be able to

• Apply the skills to solve problems in operative algebra.
• Gain knowledge about the regular geometrical figures and their properties.
• Understand the definitions of the inverse trigonometric functions and compute the domain and range of the hyperbolic and inverse trigonometric functions, and find exact values of composite functions with inverse trigonometric functions.
• Explain the relationship between the derivative of a function as a function and the notion of the derivative as the slope of the tangent line to a function at a point.
• Derive reduction formula and thereby evaluate some standard integrals.
• Identify odd and even functions and use that to determine Fourier series expansion of the given functions.
• Apply the change of variable method to evaluate double integrals.
• Solve differential equations using appropriate methods and present mathematical solutions in a concise and informative manner.
• Develop a logical understanding of the subject with mathematical skills so that students are able to apply mathematical methods and principles in solving problems in engineering fields.
• Calculate Laplace transforms and their inverses.
• Apply Laplace transforms to the solution of differential and integral equations.
• Explain the physical significance of vector calculus, parameterize curves, and calculate line integrals.
• Use vector operators, calculate double and triple integrals and surface integrals, apply Green's, Stokes', and Divergence theorems, and calculate complex integrals.