The department offers a number of courses in the fields of Physics, Chemistry and Mathematics. We also offer interdisciplinary and Emarging Area courses.
Core Courses Offered
Maths I (MATH F111)
Calculus is needed in every branch of science & engineering, as all dynamics is modeled through differential & integral equations. Functions of several variables appear more frequently in science than functions of single variable. Their derivatives are more interesting because of the different ways in which the variables can interact. Their integral occurs in several places in probability, fluid dynamics, electrical sciences, just to name a few. All lead in a natural way to functions of several variables. Mathematics of these functions is finest achievements.
Maths II (MATH C192)
This course provides an introduction to linear algebra, and an introduction to theory of Complex Variables, functions and its applications.
Maths III ( MATH C241)
This Course reviews and continues the study of differential equations with the objective of introducing classical methods for solving boundary value problems. This course serves as a basis for the applications for differential equations, Fourier series and Laplace transform in various branches of engineering and sciences. This course emphasizes the role of orthogonal polynomials in dealing with Sturm Liouville problems.
Probability and Statistics (AAOC C111)
Probability theory deals with chance phenomena and has clearly links with the real world. Interpretation of much of the research in the engineering and computing sciences increasingly depends on concept of probability and statistics that familiarize the student with the computational aspects of probability and the handling of data sets to one of a more theoretical nature.
Operations Research (AAOC C312)
Besides conventional topics of Operations Research the course deals with some of the statistical techniques of decision making, Test of hypotheses, both parametric and non parametric methods, comparison of two treatments and of several treatments using analysis of variance will be dealt with. Added to this control charts for quality control, Life models, system reliability statistical determination of life models, simple queuing models, Simulation for estimating solutions to problems which are not amenable to exact solutions will be used.
Optimization (AAOC C222)
An optimization problem in its simple form is one in which some entity with or without being subjected to certain constraints is minimized or maximized. The entity to be optimized may be profit, cost, time, product efficiency, consumer utility, etc. The constraints may involve manpower, availability of space, raw materials, funds, machine capabilities, governmental controls, etc. There are also optimization problems with more than one objective but such problems will not be normally considered in this course. The subject of optimization is multidisciplinary in nature. Optimization Problems are encountered in physical sciences, engineering, economics, industry, planning, and many other areas of human activity. Background needed for undertaking this course is acquaintance with Calculus, Set Theory and Linear Algebra. Objective of the Course is to familiarize the student with standard methods of solving optimization problems.
Discrete Structures For Computer Science (MATH C222)
To develop logical and mathematical concepts necessary to appreciate computational systems & study of concepts, techniques, and skills necessary to comprehend the structure of problems encountered in design and analysis of algorithms. To provide mathematical foundations for courses in computer science, that relies upon the comprehension of formal abstract concepts. For objectives course will train students in informal notation for prepositional and predicate logic. To construct formal proofs in prepositional and predicate logic and through such proofs help them to determine the validity of English language arguments. To prove theorems with the techniques of direct proof, proof by contraposition, proof by contradiction, and proof by induction, recursive definitions and to write recursive definitions for certain sequences and collections of objects. Graphs, directed graphs, planer graph & their relevance to circuit design & map coloring problems. To develop elementary algebra needed for courses in computer science.
Numerical Analysis (AAOC C341)
Enables one to devise algorithms for the numerical solutions of mathematical problems. Also discusses the error analysis of different algorithms.
General Chemistry (CHEM F111)
This course is composed of two parts. The first part provides a comprehensive survey of various topics in electronic structure of atoms and molecules, spectroscopy, chemical thermodynamics, kinetics. Applications of these in understanding the structure and properties of organic compounds and transition metal complexes will be studied in the second part.
Mechanics, Oscillations and Waves (PHY F111)
The objective of this course is to serve as a prelude to core level physics to be taught to all science and engineering students. It deals with topics on Mechanics, Oscillations and Waves paving a strong platform for the basic understanding of concepts and origins of Mechanics, Oscillations and waves and to relate to engineering subjects . It also aims to acquire a confidence building knowledge base of solved problems in various topics of Physics that acts as a springboard for more advanced work related to their specialization in Engineering courses.
Elective Courses offered
Introduction to Nano Science (EA C416)
This is a course for the science and engineering students to introduce the concept of Nanoscience at a basic level. It shows that nanomaterials are there in nature in abundance. Proper appreciation and unfolding them can lead to various fruitful application in Sciences, as well as in Engineering and Biomedical fields. The various techniques (conventional and ultra-modern) to synthesize and study nanomaterials are covered. The course ends with the direction towards which the field of Nanoscience is growing at the moment.
Number Theory (MATH C231)
Number theory is one of the oldest branches of mathematics .Those who are familiar with the work of Indian Mathematician Ramanujam would know his work was on Number Theory.With the advent of computers, however, number theory has been finding an increasing number of applications in practical settings .It has again gained importance as there are many surprising connections between the theory of numbers, computing and information theory. It is also being used in many branches of Engineering.