Semester |
Course |
Course Name |
Course Outcome |
Semester 1 |
AECC-I |
Environmental Studies and Disaster Management |
Students will know about the environment, pollution, environmental laws and population ecology. They get knowledge about epidemics and pandemics and health disasters and management. Got brief idea about climate change and sustainable development along with disaster management. |
CC-I |
Calculus |
Students are expected to be able to use Leibnitz’s rule to evaluate derivatives of higher order, able to study the geometry of various types of functions, evaluate the area, volume using the techniques of integration, able to identify the difference between scalar and vector, acquired knowledge on some the basic properties of vector functions. |
CC-II |
Discrete Mathematics |
The acquired knowledge will help students in simple mathematical modelling. They can study advance course in mathematical modelling, computer science statistics, physics, chemistry etc. |
GE-I |
Calculus and differential Equations |
After completing the course, students are expected to be able to apply knowledge of calculus and differential equations in the areas of their own interest. |
AECC |
Ethic & Value-I
(Issues Relating to women) |
Develop proper attitude towards women, allow women to realize their self worth and contribute their best for betterment of society, and to attain gender equity |
Semester 2 |
AECC-II |
Odia |
Communicative Odia course is designed to enhance student’s proficiency in the language with a focus on effective communication skills. Course outcomes like language proficiency, communication skills, Critical thinking, listening, speaking, reading, writing etc. |
CC-III |
Real Analysis |
On Successful completion of this course, students will be able to handle fundamental properties of the real numbers that lead to the formal development of real analysis and understand limits and their use in sequences, series, differentiation and integration. Students will appreciate how abstract ideas and rigorous methods in mathematical analysis can be applied to important practical problems. |
CC-IV |
Differential Equations |
A student completing the course is able to solve differential equations and is able to model problem in nature using Ordinary Differential Equations. This is also prerequisite for studying the course in partial differential equations and models dealing with Partial Differential Equations. |
GE-2 |
Algebra |
The acquired knowledge will help students to study further courses in mathematics like, group theory, ring theory and filed theory and linear algebra. It has applications not only in higher mathematics but also in other science subjects like computer science, statistics, physics, chemistry etc. |
AECC |
Ethics & Value-II
(Values and Good Citizenship) |
Understand basic value of Indian Constitution, inculcating sense of volunteerism, patriotism |
Semester 3 |
SEC-I |
Communicative English |
Communicative English course is designed to enhance student’s proficiency in the English language with a focus on effective communication skills. Course outcomes like language proficiency, communication skills, Critical thinking, listening ,speaking, reading , writing etc. |
CC-V |
Theory of Real Function |
On the completion of the course, students will have working knowledge on the concepts and theorems of the elementary calculus of functions of one real variable. They will work out problems involving derivatives of function and their applications. They can use derivatives to analyze and sketch the graph of a function of one variable; can also obtain absolute value and relative extrema of functions. This knowledge is basic and students can take all other analysis courses after learning this course. |
CC-VI |
Group Theory-I |
A students learning this course gets idea on concept and examples of groups and their properties. He understands cyclic groups, permutation groups, normal subgroups and related results. After this course he can opt for course in ring theory, field theory, commutative algebras, linear classical group etc. and can apply this knowledge to problems in physics, computer science, economics and engineering. |
CC-VII |
Partial Differential Equations And System Of ODES |
Student will be able to take more courses on wave equation, heat equation, diffusion equation, gas dynamics, non linear evolution equations etc. These entire courses are important in engineering and industrial applications for solving boundary value problem. |
GE-3 |
Real Analysis |
Students will handle fundamental properties of the real numbers that lead to the formal development of real analysis and understand limits and their use in sequence, series, differentials and integration. Students will know how abstract ideas and rigorous methods in mathematical analysis can be applied to improvement practical problems. |
|
AECC |
Ethic & Value-III
(Issue of drugs, tobacco and alcohol addiction) |
Creating awareness about health and societal hazards of drug, tobacco and alcohol addiction |
Semester 4 |
SEC-I |
QLT |
Student will enhance their Quantitative logical thinking level after reading this. |
CC-VIII |
Numerical Methods and scientific computing |
Students can handle physical problem to find an approximate solution. After getting trained a student can opt for advance course in numerical analysis in higher mathematics. Use of good mathematical software will help getting the accuracy one need from the computer and can assess the reliability of the numerical results, and determine the effect of round off error or loss of significance. |
CC-IX |
Topology of Metric Spaces |
Students will learn to work with abstract topological space. This is a foundation course for all analysis course in future. |
CC-X |
Ring Theory |
Students will continue more courses in advanced Ring theory modules, Galois groups. |
GE-IV |
Numerical Methods |
Students can handle physical problems to find an approximated solution. After getting trained a student can opt for advance course in Numerical analysis in higher mathematics. Use of good mathematical software will help in getting the accuracy one need from the computer and can assess the reliability of the numerical results, and determines the effect of round off error or loss of significance. |
AECC |
Ethics and value-IV
(Ethical value for student life) |
To Familiarise the students with core value of academics and goals of education and to create awareness about unethical practice in academics |
Semester 5 |
CC-XI |
Multivariate Calculus |
Student will be able to calculate double, triple and line integrals. They have idea of basis including greens theorem, divergence theorem and stocks theorem. He can take course in calculus on manifolds, Differential geometry and can help in numerical computations involving several variables. |
CC-XII |
Linear Algebra |
It has applications in computer science, finance mathematics, industrial mathematics, Biomathematics etc. |
DSE-I |
Linear Programming |
More knowledge on this topic in higher studies will help students to deal industrials models. This is also prerequisite for studying advanced course in nonlinear Programming problems, Inventory Control Problem and Queuing Theory etc. |
DSE-II |
Probability and Statistics |
The students shall learn probability and statistics for various random variables, multivariate distributions, correlations and relations. He shall learn law and large numbers and shall be able to do basic numerical calculations. |
AECC |
Ethics and value-V
(Vulnerable section of society :understanding their issues)
|
To create awareness amongst the students about the need for ensuring dignity and equality for the vulnerable section of the society such as children, elderly persons disable persons and third gender. |
Semester 6 |
CC-XIII |
Complex Analysis |
Students will be able to handle certain integrals not evaluated earlier and will know technique for counting the zeros of polynomials. This course is prerequisite to many other advance analysis courses. |
CC-XIV |
Group Theory-II |
Automorphism helps to study more on field theory. Students learn in direct products, group action, class equations and their applications with proof of all results. Thus course helps to opt for more advance course in algebra and liner classical groups. |
DSE-III |
Differential Geometry |
After completing this course a student will learn on serret-Frenet formula, relation between tangent, normal and binormal, first and second fundamental form and ideas on various curvatures. He has scope to take more advanced course in surface theory and geometry. |
DSE-IV |
Number Theory/ Project |
Upon successful completion of this course student will able to know the basic definitions and theorems in number theory, to identify order of an integer, primitive roots, Euler’s criterion the Legendre symbol, Jacobi symbol and their properties, to understand modular arithmetic number-theoretic functions and apply them to cryptography. |
AECC |
Ethics and value-VI
(Environment and techno ethics) |
To develop awareness about environment for a sustainable earth and to bring green technology into action with knowledge on ethics. |