__Department of Mathematics__

__Department of Mathematics__

##### Program Outcomes, Program Specific Outcomes & Course Outcomes (FYUG Programme: B.Sc.)

##### Program Outcomes (POs):

Students applying admission to the four year undergraduate B.Sc. programme are projected to get equipped with the followings:

**PO1:** Describing the fundamental concepts and procedures of science.

**PO2:** Encourage students to think critically and be aware of science.

**PO3:** Being able to solve a problem critically and handle an unexpected situation.

**PO4:** Recognizing the problems with nature, environmental contexts, and sustainable development.

##### Program Specific Outcomes (PSOs):

**Students applying admission to the four year undergraduate B.Sc. programme in Mathematics are expected to acquire the followings:**

**PSO1:** Students will be able to model and solve mathematical problems by applying their theoretical and analytical knowledge, as well as their understanding of the common body of knowledge in mathematics.

**PSO2:** Being able to write proofs that are both clear and concise requires an understanding of the nature of mathematical proofs.

**PSO3:** Possess the ability to create simple computer programs to carry out the mathematical competition.

**PSO4:** Develop mathematical modelling skills while learning about how mathematics is used in other fields.

**PSO5:** The student gains the ability to articulate ideas clearly and to independently assimilate new knowledge and concepts.

**PSO6:** Students are encouraged to grow intellectually and get involved in career organizations.

**PSO7:** Try to solve challenging math problems and communicate mathematical ideas both orally and in writing.

__GENERIC ELECTIVE COURSE:__

__GENERIC ELECTIVE COURSE:__

**Semester-I [GEC (Any one)]**

**Title of Course: Foundation in Mathematics-I**

**Course Code: GECMTH1A**

**Course Description:**

The course contains the basic concept of sets and mathematical logic in order to develop the critical and logical thinking in solving the problems and the idea of calculus along with their applications.

**Course Outcome (COs):**

The student will be capable of the following after completing this course:

**CO1:** List element of a finite set and illustration of set using Venn diagram.

**CO2:** Use the critical and rational approach for the solution of a problem.

**CO3:** Identify the Mathematical objects to describe social and physical systems.

**CO4:** Describe various algebraic structures onsets.

**CO5:** Apply Calculus in real life problems.

**Course Title: ****History of Mathematics**

**Course Code: ****GECMTH1B**

**Course Description: **This course introduces the historical perspective of mathematics such as numerical symbol, word numerals, place value notation. To explain the arithmetic algorithms, construction of sine tables and Diophantine equation in ancient and medieval India.

**Course Outcomes (COs):**

The student will be capable of the following after completing this course:

**CO1:** Able to explain how mathematics has evolved in India.

**CO2:** Able to analyze and critically reflect on ancient and modern mathematical issues.

**CO3:** Conduct historical research on ancient Indian mathematical ideas with the texts of classical mathematics and their historical interpretation.

**CO4:** Explain some of the mathematical concepts developed in ancient time and evaluate the relevance in modern mathematics and sciences.

**Semester-II [GEC (Any one)]**

**Course Title: ****Foundation in Mathematics-II**

**Course Code: ****GECMTH2A**

**Course Description:**

This course introduces the basic concept of difference operator with their relation and interpolation of function for the set of tabulated points. Also, it contains the study of the basic concepts of probability, random variables and the measure of central tendency.

**Course Outcomes (COs): **After the completion of this course, the learner will be able to:

**CO1:** Able to know the Counting principles and their applications in real problems.

**CO2:** Able to understand the theory of probability and apply in real situations.

**CO3:** Able to apply the concept of statistics in different branches of science.

**CO4:** Able to build up a strong foundation of the basic Mathematical tools.

**CO5:** Identify the Mathematical objects to describe social and physical systems.

**Course Title: ****Business Mathematics**

**Course Code: ****GECMTH2B**

**Course Description:**

This course introduces the basic concept of matrix and determinant with their applications in business and economic problems. Also, it explains the graphical solution of linear programming problem with two variables.

**Course Outcomes (COs):**

After the completion of this course, the learner will be able to:

**CO1:** Able to understand the concept of algebra of matrices and determinants and their applications in economic problems.

**CO2:** Able to apply the differentiation in supply and demand problems which is related to cost revenue and profits.

**CO3:** Evaluate the simple interest and compound interest in real life problems.

**CO4:** Formulating linear programming and solve in graphically.

**CO5:** Familiarize students with the applications of mathematics in business decision-making.

**Semester-III [GEC (Any one)]**

**Course Title: Mathematical Finance**

**Course Code: GECMTH3A**

**Course Description:**

This course introduces the concept of finance in mathematics. To apply mathematics in the financial world, which enables the student to understand some computational and quantitative techniques required for working in the financial markets.

**Course Outcomes (COs):**

After the completion of this course, the learner will be able to:

**CO1:** Apply models to financial mathematics/industries.

**CO2:** Able to understand the mechanism of the investment and market.

**CO3:** Ability to use mathematical tools to market economy.

**CO4: **Able to understand the basics of interest.

**Course Title: Combinatorial Mathematics**

**Course Code: GECMTH3B**

**Course Description:**

This course analyzes the Binomial theorem, Multinomial theorem, Necklace problem, Burnside’s lemma, Poly’s theorem and application. To study the principles of counting, principles of inclusion and exclusion, permutations and combinations, generating functions, recurrence relations, partition etc.

**Course Outcomes (COs):**

After the completion of this course, the learner will be able to:

**CO1:** Use combinatorial approach in solving algebraic problems

**CO2:** Explain counting principles.

__SKILL ENHANCEMENT COURSE:__

__SKILL ENHANCEMENT COURSE:__

**Semester-I (SEC)**

**Title of Course: **Computer Laboratory-I

**Course Code: SEC115**

**Course Description:**

The course covers the concept of different mathematical software namely MATLAB, MATHEMATICA or Open Source software that are very momentous in different physical fields.

**Course Outcome (COs):**

After the completion of this course, the learner will be able to:

**CO1:** Basic knowledge on MATLAB or MATHEMATICA through command window or creating programming files.

**CO2:** Solve different algebraic and trigonometric problems through the help of MATLAB or MATHEMATICA.

**CO3:** Sketching conics, polar equations of conics and polynomial of higher degree.

**Semester-II (SEC)**

**Course Title: Computer Laboratory-II**

**Course Code: SEC214**

**Course Description:**

This course offers the concept of the model in various real-life problems namely exponential decay model, lake pollution model etc. using MATHEMATICA /MATLAB/Open-source softwares etc. To plot the recursive sequences, sequence of partial sum using Mathematica /MATLAB.

**Course Outcomes (COs):**

After the completion of this course, the learner will be able to:

**CO1:** Able to use MATLAB or Mathematica software through command window or creating programing files for various mathematical modelling problem.

**CO2:** Plotting of second order solution family of differential equation.

**CO3:** Able to sketch different recursive sequences.

**Semester-III (SEC)**

**Course Title: Mathematical Logic**

**Course Code: SEC315**

**Course Description:**

This course introduces the basic concept of sets and mathematical logic. To develop the critical and logical thinking in solving the problems.

**Course Outcomes (COs):**

After the completion of this course, the learner will be able to:

**CO1:** Analyze the truth and falsity of a logical statement.

**CO2:** Differentiate between a logical statement and an ordinary statement.

**CO3:** Define and describe various properties of sets.

__ABILITY ENHANCEMENT COURSE__

__ABILITY ENHANCEMENT COURSE__

**Semester-III (AEC)**

**Course Title: Mathematical Ability**

**Course Code: AECMTH3**

**Course Description:**

This course offers the basic mathematics skills and logical reasoning which required in day-to-day life. To analyze and draw conclusions from the data, which may be presented in the form of tables or graphs.

**Course Outcomes (COs):**

After the completion of this course, the learner will be able to:

**CO1:** Able to solve the problem based on critical thinking with logic and reasoning.

**CO2:** Able to use basic mathematics as a tool to understand and solve the real-life problems.

**CO3:** Able to use basic mathematics for competitive examinations.