Session: 2020-2021

Name of College: School of Applied and Life Sciences

Name of Department: Department of Mathematics

Program Name: B.Sc. (Hons.) Mathematics

Program Code: 26

Program Educational Objectives- PEO, Program Specific Outcomes- PSO, Program Outcomes-PO, Course Outcomes-CO

Program Educational Objectives (PEO)

PEO-1 To equip students with knowledge, abilities and insight in mathematics and related fields and enable them to work as a mathematical professional.

PEO-2To develop the ability to utilize the mathematical problem-solving methods such as analysis, modelling, and programming and mathematical software applications in addressing the practical and heuristic issues.

PEO-3Graduates will use their course as a training ground to develop their positive attitude, skills which will enable them to become a multi facet personality shining in any chosen field.

PEO-4Graduates will use their course as a training ground to develop their positive attitude, skills which will enable them to become a multi facet personality shining in any chosen field.

PEO-5The graduates will work and communicate effectively in inter-disciplinary environment, either independently or in a team, and demonstrate leadership qualities.

Program Outcomes-(PO)

PO-1Disciplinary knowledge: Communicate various concepts of mathematics effectively in the core subject of mathematics through various medium such as seminars, workshop, presentations.

PO-2 Critical thinking and analytical reasoning: Analyze the results and apply them in various problems appearing in different branches of mathematics.

PO-3 Problem solving: Provide new solutions using the domain knowledge of mathematics acquired during this programme.

PO-4 Research-related skills: Inquiring about appropriate questions and advances relating to the concepts in various fields of mathematics.

PO-5 Information/digital literacy: Create, select, and apply appropriate techniques, resources, and modern scientific and IT tools with their limitations.

PO-6 Self-directed learning: Work independently and do in-depth study of various notions to effectively enhance the communication skills.

PO-7 Moral and ethical awareness/reasoning: Educate the students about human values & professional ethics related to society and environment.

PO-8Lifelong learning: Prepare graduates according to broadest context of technological change and ability to work independently and in group with lifelong learning skills in society and Industry.

Program Specific Outcomes (PSO)

PSO-1

Acquire knowledge pertaining to concepts of mathematics and widespread specific disciplines including Calculus, Mathematical Analysis, Abstract Algebra, Number theory, Statics, LPP, Statistics, Numerical analysis, logic & sets etc. along with allied fields including environment science, computer fundamental and human ethics.

PSO-2Strong foundation of Differential Equation, Linear algebra Mathematical modeling, Dynamics, Graph theory and Operation Research which have strong link and application in engineering, technology and physical sciences.

PSO-3

Identify the potential and applicability of concepts of applied mathematics to design/ drive a solution to complex problems pertaining to industry, society and multidisciplinary environment and simultaneously enhancing their critical thinking, practical, presentation, communication and professional skills.

PSO-4Enhance eligibility and increase competence to appear in various competitive examinations for higher studies and pursue career in academia, industry, organizations etc.

Semester- ICourse Name: CalculusCourse Code (CC):TBHM – 101

TBHM – 101-CO-1

Acquire the sound knowledge of nth derivatives of the product of two function, reduction formula. Scientifically and graphically comprehend the nature of function.

TBHM – 101-CO-2

Develop key ideas of Leibnitz rule, learn applications of asymptotes, concavity & point of inflexion in curve tracing to examine the real-world situations.

TBHM – 101-CO-3

Elaborate the standards of essential to take care of an assortment of fundamental issues such as length of parametric curves, polar co-ordinates in sciences.

TBHM – 101-CO-4

Propose the solution of Dirichlet’s integrals and Liouville’s extension and its formulation.

Course Name: Calculus LabCourse Code (CC): PBHM - 101PBHM - 101-CO-1

Construction of the graph of function to demonstrate the outcome of different parameters to diagram.

PBHM - 101-CO-2

Sketch and trace the cartesian, parametric and polar curve with the method of POSTAR by using the imagination capabilities.

PBHM - 101-CO-3

Improve the capacity of utilizing geometrical understanding of mathematics in examining true issues of science and innovation.

Course Name: AlgebraCourse Code (CC): TBHM-102

TBHM-102-CO-1

Acquire the basic knowledge of arithmetic operations on complex number and evaluated the argument of Complex numbers by using appropriate techniques.

TBHM-102-CO-2

Apply the matrix principle to examine the quantitative & qualitative aspects of resolutions of mathematical models in scientific areas. &understand the concept of different algebraic systems of equations.

TBHM-102-CO-3

Develop the critical thinking skills by using Principles of mathematical induction and fundamental theorem of arithmetic.

TBHM-102-CO-4

Acquire knowledge of equivalence relations on sets and various types of functions with application in real word.

Course Name: Fundamental of ComputersCourse Code (CC): TBHG-103

TBHG-103-CO-1

Acquire the knowledge about basicconcepts of hardware and software components and the role of these components in professional life as well as in daily life.

TBHG-103-CO-2 Know the difference between DOS and windows operating system.

TBHG-103-CO-3

Solve numerical problems by using binary subtraction, binaryaddition and interconversion of binary number system.

TBHG-103-CO-4

Analyze the knowledge regarding computer networks, different components of networking and also get to know various internet related concepts.

TBHG-103-CO-5

Attain knowledge and applysoftware development models and techniquesto implement, design, maintain and test a software system.

Course Name: Fundamental of Computers (Lab)Course Code (CC): PBHG-103PBHG-103 -CO-1

Demonstrate and understand the fundamental of software installation, E-mail account and apply application software in an office environment.

PBHG-103 -CO-2 Apply various HTML/CSS tags for creating webpages.

PBHG-103 -CO-3

Identify the different types of operating system and their functions. Which will be used in skill development.

PBHG-103 -CO-4

Create documents that makes student efficient in the use of word documents, spreadsheets and presentation applications.

Course Name: Object Oriented Programming in C++Course Code (CC): TBHG-103TBHG-103-CO-1

Assess an object – oriented approach to the development of software based on modelling objects from the real world.

TBHG-103-CO-2

Categorize a set of OOPs concepts and a language-independent graphic notation, the Object Modelling method which can be used to analyse problem requirements, propose a solution to the problem and then implement the solution in a programming language.

TBHG-103-CO-3

Formulate an OO software development methodology from analysis, through design, to implementation and comparison of high-level, conceptual analytics and design processes.

TBHG-103-CO-4

Construct an abstract way of thinking about a problem using concepts of the real world, rather than computer concepts.

TBHG-103-CO-5

Illustrate the logic of overloading and overriding, functions, inheritance, polymorphism and file handling. Contrast the major OOPs strategies for implementation of programs using C++.

Course Name: Object Oriented Programming in C++ (Lab)Course Code (CC): PBHG-103PBHG-103 -CO-1 Create the C++ program for given algorithm and flowchart.

PBHG-103 -CO-2 Solve real time problems by using objects and classes.

PBHG-103 -CO-3

Create any application by applying logics and concepts of C++ language like constructor, function overloading and Inheritance.

Course Name: English CommunicationCourse Code (CC): TBEC -104TBEC-104-CO-1

Understand the meaning and the process of communication along with its types and barriers.

TBEC-104-CO-2

Develop proficiency in English Language through vocabulary building and correct use of grammar.

TBEC-104-CO-3

Acquire competency in reading and listening by understanding the skills involved and assessing &analyzing literary texts critically.

TBEC-104-CO-4

Form a clear concept of writing style in technical communication and develop technical writing skills.

TBEC-104-CO-5

Develop speaking skills by understanding the basic concepts and enhance proficiency in verbal and non- verbal communication.

Course Name: Educational VisitCourse Code (CC): ADP-105

ADP-105-CO-1 Analyze many ground real factors and a chance to associate and talk about with the business heads/academicians.

ADP-105-CO-2 Carries to all the students to a typical stage independent of their social, monetary and cultural foundation.

ADP-105-CO-3 Appraise to discover answers for genuine issues and makes them inventive.

ADP-105-CO-4 Opportunity to advance and be on their own which improves relational abilities and makes them all the more explorative.

Semester- IICourse Name: Real AnalysisCourse Code (CC): TBHM-201TBHM-201-CO-1

Enhance the knowledge regarding basic properties of the field of real numbers and improved and outline the logical thinking.

TBHM-201-CO-2

Define and recognized the series of real numbers and convergence and enhanced the critical thinking ability.

TBHM-201- Acquire the knowledge of convergence and divergence of series using

CO-3 interpretation of data and appropriate tools and techniques.TBHM-201-CO-4 Apply the application of real analysis in multidisciplinary environment.

Course Name: Differential EquationsCourse Code (CC): TBHM-202

TBHM-202-CO-1

Develop critical thinking by identifying, analyzing and afterward evaluate physical conditions whose comportment could defined by ODE’s.

TBHM-202-CO-2

Elaborate the use of appropriate techniques such as existence and uniqueness theorems.

TBHM-202-CO-3

Propose the solution of higher order differential equations and explain importance of technique’s as Wronskian.

TBHM-202-CO-4

Determine the solution and formulation of mathematical models using differential equations.

Course Name: Differential Equations LabCourse Code (CC): PBHM – 202PBHM-202-CO-1

Create, identify, analyze and solve the mathematical models to understand the real-world problems.

PBHM-202-CO-2

Elaborate appropriate techniques such as characteristics method, method of separation of variables to sketch the graph of integral surfaces of PDE.

PBHM-202-CO-3

Enhance advance knowledge and critical thinking ability by graphing the ratios of sequence and series.

Course Name: Concepts of ProgrammingCourse Code (CC): TBHG-203TBHG-203-CO-1

Create the flowchart and an algorithm to develop C program for any problem.

TBHG-203-CO-2 Solve real time problems by using user defined functions.

TBHG-203-CO-3

Construct any application by applying logics and concepts of C language like conditional statements and iterative statements.

TBHG-203-CO-4

Acquire knowledge about the use of pointers, strings, functions and arrays.

TBHG-203-CO-5

Compose C program and familiar with the concept of structures and unions.

Course Name: Concepts of Programming (Lab)Course Code (CC): PBHG-203PBHG-203-CO-1 Create the C program for given algorithm and flowchart.

PBHG-203-CO-2 Solve real time problems by using arrays, pointers and structures.

PBHG-203-CO-3

Create any application by applying logics and concepts of C language like derived data types, operators.

Course Name: DBMS and Networking ConceptsCourse Code (CC): TBHG-203TBHG-203-CO-1

Discover the challenges of Database and classify different DBMS services and deployment models.

TBHG-203-CO-2 Find importance of E-R model along with their notations in DBMS.

TBHG-203-CO-3

Create, select, and apply appropriate queries to analyze different type of information.

TBHG-203-CO-4 Survey of modern challenges in networking technologies.

Course Name: DBMS and Networking Concepts (Lab)Course Code (CC): PBHG-203PBHG-203-CO-1 Write the queries for Data Definition and Data Manipulation Language.

PBHG-203-CO-2

Write SQL queries using SQL operators as well as Logical Operators (=,>, <) etc.

PBHG-203-CO-3 Write SQL queries for relational algebra and referential Integrity.

PBHG-203-CO-4

Write SQL queries for extracting data from more than one table and execute network-oriented commands-Netstat, Ping, Route, Ipconfig, ARP.

Course Name: Environmental ScienceCourse Code (CC): TBES-204TBES-204-CO-1

Master foundational knowledge enabling them to have life –long learning related to one’s surroundings.

TBES-204-CO-2

Develop critical thinking skills in relation to environmental affairs and articulate multidisciplinary context of the subject.

TBES-204-CO-3

Acquire knowledge about natural resources and assess aesthetic and ethical importance of all the living flora and fauna.

TBES-204-CO-4

Interpret and propose solutions for effective management of different types of environmental pollution.

TBES-204- CO-5

Keep updated and communicate knowledge regarding social issues and laws related to environment.

Course Name: Human Ethics & Professional ValuesCourse Code (CC): TBHE -205TBHE-205- CO- 1

Recognize the role of ethics in human life and to apply creative thinking to fulfill the aspirations of every human being.

TBHE-205- CO-2

Understand the dimension of ethical human conduct and to determine how values can be converted to rules of behavior that can be derived as ethics. Understand the correct appraisal of physical needs.

TBHE-205- CO-3

Delineate the difference between respect and differentiation and analyze the concept of undivided society in real life.

TBHE-205- CO-4

Describe how different orders in nature have mutually fulfilling coexistence, develop the ability of identifying people-friendly and eco-friendly production systems, and understand the implication of holistic understanding of harmony on professional ethics.

Semester- IIICourse Name: Theory of Real FunctionsCourse Code (CC): TBHM-301TBHM – 301-CO-1

Acquire the knowledge about fundamental properties of the real numbers and that lead to the formal development of pure mathematics.

TBHM – 301-CO-2

Demonstrate deep understanding of limits, continuity and differentiability of real function in abstract ways and how they are applicable in engineering and scientific problems.

TBHM – 301-CO-3

Develop the logical thinking to proof the basic and standard results of mathematical analysis.

TBHM – 301-CO-4

Create and analyze theories, methods and interpretations that develop critical thinking skills and advance mathematical knowledge.

Course Name: Group Theory-ICourse Code (CC): TBHM-302TBHM-302- CO- 1 Identify and analyze the properties of algebraic structure called group.

TBHM-302- CO-2

Acquire the basic knowledge of Cyclic Groups, Normal Subgroup and Quotient group.

TBHM-302- CO-3 Analyze the notion of permutations graphically and analytically.

TBHM-302- CO-4

Develop the capability of critical thinking about isomorphism and homomorphism and analyzed its applications

Course Name: PDE and system of ODECourse Code (CC): TBHM-303TBHM-303- CO- 1

Develop critical thinking by identifying, analyzing& subsequently explaining physical circumstances by using PDE & ODE.

TBHM-303- CO-2

Elaborate the use of appropriate techniques such as analytical and numerical.

TBHM-303- CO-3

Evaluate practical problems of ODE & PDE and Learn to create mathematical models.

TBHM-303- CO-4

Propose the solutions and classifications of PDE through initial and boundary situations and its reduction to canonical forms.

Course Name: PDE and system of ODE (Lab)Course Code (CC): PBHM-303PBHM-303- CO- 1

Create, identify, analyze and solve the heat equation, wave equation & Laplace equation to understand the real-world problems.

PBHM-303- CO-2

Discuss appropriate techniques such as characteristics method, method of separation of variables to sketch the graph of integral surfaces of PDE.

PBHM-303- CO-3

Enhance critical thinking ability by solving Cauchy initial value and boundary value problems.

Course Name: Total Quality ManagementCourse Code (CC): TBHG-304TBHG-304- CO- 1 Understanding of concept of quality, ISO & various standards.

TBHG-304- CO-2 Learning of various management systems with SOPs, six sigma & 5S

TBHG-304- CO-3

Well verse with regulatory bodies and environmental standards for environment protection.

TBHG-304- CO-4

Knowledge about assessment and analysis of data by using modern computational & statistical methods for problem solution.

Course Name: Intellectual Property RightsCourse Code (CC): TBHG-304TBHG-304- CO- 1

Acquire knowledge about Intellectual property rights, copyrights, trademarks and patents.

TBHG-304- CO-2

Appraise about geographical indications, industrial designs, trade secrets and different international agreements including paris convention, Budapest treaty etc.

TBHG-304- CO-3

Analyse layout designs of integrated circuits, risks involved in trade secret protection, international design registration, rules for registration of geographical indications etc.

TBHG-304- CO-4

Assess introduction and historical perspectives of trade secrets, working of WTO, Madrid protocol, different type of IPs, trademarks, copyrights etc.

Course Name: StaticsCourse Code (CC): TBHG-304

TBHG-304- CO- 1

Acquire the basic knowledge of resultant, component of a force, coplanar forces, moment of a force and couple with examples, virtual work, virtual displacement for extensible and inextensible string and thrust and its applications in real life and engineering problems.

TBHG-304- CO-2

Develop critical thinking skills and apply the statics to precise advance problems in math’s, engineering, physics or in additional areas.

TBHG-304- CO-3

Acquire the basic knowledge of Centre of gravity for a system of particles lying in line, plane, and compound body, uniform plane curve, enclosed by two curves and applied in mechanical and civil engineering for real life problems.

TBHG-304- CO-4

Propose the ideas of equilibrium for two and three dimensions, stable and unstable, and its applications in society.

Course Name: Fourier series and Integral TransformsCourse Code (CC): TBHG-304

TBHG-304- CO- 1

Develop critical thinking by identifying, analyzing& subsequently explaining physical circumstances by using Laplace transform of some standard functions.

TBHG-304- CO-2

Elaborate the use of appropriate techniques such as Inverse Laplace transform, Heaviside unit step function and Dirac delta function

TBHG-304- CO-3

Evaluate practical problems of Fourier series of periodic function, Euler’s formula.

TBHG-304- CO-4

Propose the solutions and classifications of Hankel Transform and its application.

Course Name: Logic and SetsCourse Code (CC): TBHM-305

TBHM-305- CO- 1

Analyze and determine the truth value of quantified sentences, given its universal set by constructing truth value table or by applying the concept of solution sets.

TBHM-305- CO-2

Construct un-quantified or quantified arguments by reproducing valid examples in deducing a tautology or laws of deduction/inference.

TBHM-305- CO-3

Justify propositions related to the properties of integers, real or complex numbers, sets, relations, cardinalities and functions.

TBHM-305- CO-4

Synthesis symbolic laws of logic to natural science languages and develop tools and techniques for the application in engineering and

technology.Course Name: Computer GraphicsCourse Code (CC): TBHM-305TBHM-305- CO- 1

Implement of various scan, convert the basic geometrical primitives, transformations, Area filling, clipping algorithms.

TBHM-305- CO-2

Discuss the application of computer graphics concepts for the development of computer games, information visualization, and business applications.

TBHM-305- CO-3

Define the fundamentals of animation, virtual reality and its related technologies.

TBHM-305- CO-4

Describe the significance of viewing and projections in real world objects.

Course Name: ActivitiesCourse Code (CC): ADP-306ADP-306-CO- 1

Demonstrate technical skills for effective preparation of presentations, write-ups through participant in academic and extracurricular activities.

ADP-306- CO-2 Exhibit good communication and presentation skills.

ADP-306-CO-3 Acquire critical thinking ability to analyze and interpret observations, recent scientific developments, etc.

Semester- IVCourse Name: Numerical MethodsCourse Code (CC): TBHM-401TBHM – 401-CO-1

Analyze the concept of error inherent in different numerical methods for solution in real world problems.

TBHM – 401-CO-2

Propose ideas for finding numerical solution of algebraic and transcendental equation by numerical methods to solve and analyses complex engineering problems.

TBHM – 401-CO-3

Acquire the basic knowledge of method of interpolation for scientific problems with consideration for industry, environment and society.

TBHM – 401-CO-4

Ability to assess and prepare the numerical solution of differential equation, integral equation, linear and nonlinear polynomials.

Course Name: Numerical Methods (Lab)Course Code (CC): PBHM-401PBHM-401- CO- 1

Application of techniques of different numerical methods for solution in real world problems.

PBHM-401- CO-2

Finding numerical solution of algebraic and transcendental equation by numerical methods to solve engineering problems.

PBHM-401- Acquire the basic knowledge of method of interpolation and numerical

CO-3 solution of differential equations with the help of C/C++ languages.Course Name: Riemann Integration and Series of FunctionsCourse Code (CC): TBHM-402TBHM – 402-CO-1

Develop critical thinking by identifying, analyzing and subsequently solved Riemann Integration and their applications.

TBHM – 402-CO-2

Application of appropriate techniques to study uniform &point-wise convergence of sequence of function and its applications to real world situations.

TBHM – 402-CO-3

Obtain the idea of integral and its implementation’s, various theorems and their explanations through their applications in multidisciplinary situation.

TBHM – 402-CO-4

Enhance critical thinking ability by learning application of Beta-gamma functions, convergence theorem, piece-wise continuous and monotonic functions and its advanced knowledge.

Course Name: Ring Theory and Linear Algebra – ICourse Code (CC): TBHM-403TBHM – 403-CO-1 Analyze the fundamental concepts in ring theory and vector space.

TBHM – 403-CO-2

Application of ring homomorphism to enhance the capability of critical thinking.

TBHM – 403-CO-3

Application of appropriate techniques to formulate the proof of theorems in ring theory and vector space.

TBHM – 403-CO-4

Obtain in-depth understanding about range, rank and nullity of linear transform and its applications.

Course Name: Non-Conventional Energy ResourcesCourse Code (CC): TBHG-404TBHG-404-CO-1 Analyze the fundamental concepts in ring theory and vector space.

TBHG-404-CO-2

Application of ring homomorphism to enhance the capability of critical thinking.

TBHG-404-CO-3

Application of appropriate techniques to formulate the proof of theorems in ring theory and vector space.

TBHG-404-CO-4

Obtain in-depth understanding about range, rank and nullity of linear transform and its applications.

Course Name: Data Structure Course Code (CC): TBHG-404TBHG-404-CO-1

Demonstrate how linked list, stacks, arrays, queues and trees represented in memory by using algorithms

TBHG-404- Demonstrate the efficiency of algorithms for searching and sorting.

CO-2TBHG-404-CO-3 Evaluate the different methods of traversing trees.

TBHG-404-CO-4 Solve the real word problems involving graphs, trees and heaps

Course Name: DynamicsCourse Code (CC): TBHG-404

TBHG-404-CO-1

Understanding the principles and methods used in analyzing rectilinear motion of a particle and apply these to solve typical problems by integration to find position, velocity, acceleration or time.

TBHG-404-CO-2

Demonstrate the concept of simple harmonic motion, projectile motion and cycloid motion and apply these to find solution of problems related to real world.

TBHG-404-CO-3

Acquire the knowledge that how to solve modern dynamical problems with appropriate information, techniques and solution strategy.

TBHG-404-CO-4

Translating real world problem into mathematical statements and solution, interpretations of those problems.

Course Name: Graph TheoryCourse Code (CC): TBHM-405TBHM-405-CO-1

Knowledge of graphs and its properties and its application on different problems of graph theory.

TBHM-405-CO-2

Ability to assess the isomorphism of graph, path, circuits, Dijkstra’s and Floyd-Warshall algorithm for solution of real-life problems.

TBHM-405-CO-3

Enhance understanding of graphs such as Euler graph, Hamiltonian cycles, and travelling salesman problem for solution of engineering problems.

Course Name: Combinatorial MathematicsCourse Code (CC): TBHM-405TBHM-405-CO-1

Appraise the concept of Basic counting principles, Permutations and Combinations

TBHM-405-CO-2

Develop the logical thinking about concept of Generating functions and models

TBHM-405-CO-3

Enhance critical thinking ability about Polya theory of counting and Latin squares

TBHM-405-CO-4

Acquire the knowledge of Recurrence relations and Solution of recurrence relations.

Course Name: Applications of AlgebraCourse Code (CC): TBHM-405TBHM-405-CO-1

Appraise the concept Balanced incomplete block designs (BIBD), Balanced incomplete block designs and finite field

TBHM-405-CO-2

Develop the logical thinking about concept of Symmetry groups and permutation groups, groups of symmetry

TBHM-405-CO-3

Acquire the basic knowledge about color patterns and, generating functions for non-isomorphic graphs

TBHM-405-CO-4

Enhance critical thinking ability of Coding Theory, Hamming Codes, decoding and cyclic codes

Course Name: Personality Development ProgramCourse Code (CC): ADP-406ADP-406-CO-1 Understand the soft skills and effective professional communicationADP-406-CO-2 Interview SkillsADP-406-CO-3 Industrial EtiquetteADP-406-CO-4 Professional groomingADP-406-CO-5 Written English Skills including Presentation and Interview skills

ADP-406-CO-6 Oral Skills, pronunciation, accent, telephonic conversation and listening skills

Semester- VCourse Name: Multivariate CalculusCourse Code (CC): TBHM-501TBHM – 501-CO-1

Elaborate multi variable function by using double and triple integrals to solve the complex problems.

TBHM – 501-CO-2

Implement multi variable calculus in defining the minimum – maximum & double integrals.

TBHM – 501-CO-3

Outline functions of multi-variable’s, fractional derivatives and various properties.

TBHM – 501-CO-4

Enhance the critical thinking ability by demonstrating the usage of Multivariate calculus in real world situation

Course Name: Group Theory – IICourse Code (CC): TBHM-502TBHM – 502-CO-1

Enhance the advance knowledge of automorphism and learned its applications in field of research and higher studies.

TBHM – 502-CO-2 Build an idea about group action and direct product.

TBHM – 502-CO-3

Elaborate the idea of subgroup and order of group using Cauchy theorem and Sylow’s theorems analyzed its applications.

TBHM – 502-CO-4

Application of appropriate technique to formulate the proof of fundamental theorem of finite group, index theorem and Cayley’s theorem.

Course Name: Portfolio OptimizationCourse Code (CC): TBHM-503TBHM – 503-CO-1

Appraise the concept of Financial markets. Investment objectives and Measures of return and risk

TBHM – 503-CO-2

Acquire the knowledge about Index tracking optimization and Portfolio performance evaluation measures.

TBHM – 503-CO-3

Enhance critical thinking ability of Capital market theory and Capital assets pricing model

TBHM – 503-CO-4

Develop the logical thinking about concept of Mutual funds and Mean-variance portfolio optimization

Course Name: Number TheoryCourse Code (CC): TBHM-503TBHM – 503-CO-1

Acquire the basic knowledge of Number Theory and Theoretic Problems in practical situations in real life environment and society.

TBHM – 503-CO-2

Create the ideas of Fermat’s, Euler’s & Chinese remainder theorems and evaluated congruence equations ascend in numerous higher-level problems

TBHM – 503-CO-3

Acquire the knowledge of number theoretic functions, Dirichlet product, Mobius inverse formula, linear congruence and residue with some properties and learn its application to higher studies.

TBHM – 503-CO-4

Develop the appropriate techniques to find primitive roots, quadratic reciprocity, public key encryption, RSA encryption and their application in cryptography.

Course Name: Boolean Algebra and Automata TheoryCourse Code (CC): TBHM-503

TBHM – 503-CO-1

Understand Boolean algebra and basic properties of Boolean algebra; able to simplify simple Boolean functions by using the basic Boolean properties.

TBHM – 503-CO-2

Able to design simple combinational logics using baisc gates. Able to optimize simple logic using Karnaugh maps.

TBHM – 503-CO-3

Acquire a fundamental understanding of the core concepts in automata theory and formal languages

TBHM – 503-CO-4

An ability to prove and disprove theorems establishing key properties of formal languages and automata.

Course Name: MechanicsCourse Code (CC): TBHM-504

TBHM – 504-CO-1

Acquire the basic knowledge of Moment of a force about a point and an axis, couple and couple moment, Moment of a couple about a line, resultant of a force system, and its application in society.

TBHM – 504-CO-2

Develop the knowledge of laws of Coulomb friction, application to simple and complex surface contact friction problems, transmission of power through belts, screw jack.

TBHM – 504-CO-3

Create the ideas of second moments and the product of area of a plane area, transfer theorems, Conservative force field, conservation for mechanical energy and their applications

TBHM – 504-CO-4

Ability to assess and prepare the critical thinking skills of Chasles’ theorem, general relationship between time derivatives of a vector for different references, relationship between velocities of a particle for different references

Course Name: Analytical GeometryCourse Code (CC): TBHM-504TBHM – 504-CO-1

Appraise the fundamental properties of cylinder, cone and their properties

TBHM – 504-CO-2

Demonstrate the deep understanding of General equation of second degree

TBHM – 504-CO-3

Develop the logical thinking about concept of Asymptotes and tracing the curves.

TBHM – 504-CO-4

Acquire the knowledge of fundamental properties Plane, line and spheres

Course Name: Probability and StatisticsCourse Code (CC): TBHM-504

TBHM – 504-CO-1

Acquire the deep knowledge of various forms of discrete &continuous probability distribution functions and its application in real world problems.

TBHM – 504-CO-2

Application of different statistical technique such as correlation & regression to the actual life arithmetical data.

TBHM – 504-CO-3

Analysis of statistical data analytically and graphically for real world problems.

TBHM – 504-CO-4

Appraise the concept of probability, sampling theory and quality control methods and its application in field of research and higher studies.

Course Name: Reasoning SkillsCourse Code (CC): ADP-505ADP-505 -CO-1 Solve campus placements aptitude papers covering Logical Reasoning

ADP-505 -CO-2

Formulate the problem quantitatively and use appropriate arithmetical, and/or statistical methods to solve the problem

ADP-505 -CO-3

Interpret quantitative information (i.e., formulas, graphs, tables, models, and schematics) and draw implications from them.

ADP-505 -CO-4

Thinking critically and applying basic mathematics skills to interpret data, draw conclusions, and solve problems; Developing proficiency in numerical reasoning

Semester-VICourse Name: Metric Spaces and Complex AnalysisCourse Code (CC): TBHM-601TBHM – 601-CO-1

Develop the concept of compound variable function related to analytic functions.

TBHM – 601-CO-2

Learn appropriate techniques such as Cauchy’s Theorem, Liouville’s Theorem, Laurent’s and Taylor’s Theorem.

TBHM – 601-CO-3

Setup and verify the solution of a metric space and its application in real word situations.

TBHM – 601-CO-4

Enhance critical thinking ability by solving differentiation and integration of complex functions

Course Name: Ring Theory and Linear Algebra – IICourse Code (CC): TBHM-602TBHM – 602-CO-1

Develop advanced knowledge of rings & vector space and its application in higher studies.

TBHM – 602-CO-2

Appraise about ring polynomial prime and irreducible elements and its application.

TBHM – 602-CO-3

Establish the relationship between matrix and linear transform and evaluated Eigen value and Eigen vector.

TBHM – 602-CO-4

Develop the concept of inner product spaces and interpreted the orthogonality in inner product spaces.

Course Name: Industrial MathematicsCourse Code (CC): TBHM-603TBHM – 603-CO-1

Acquire the knowledge about fundamental properties Medical Imaging, X-ray and CT scan based on the knowledge of Mathematics

TBHM – 603-CO-2

Enhance critical thinking ability about concept of Inverse problems through problems taught in Mathematics.

TBHM – 603-CO-3

Develop the basic knowledge about Radon Transform and Back Projection.

TBHM – 603-CO-4

Appraise the concept of CT Scan using the properties of Fourier and inverse Fourier transforms and applications of their properties in image reconstruction

Course Name: Bio – MathematicsCourse Code (CC): TBHM-603TBHM – 603-CO-1 Acquire the knowledge of Mathematical Biology and modeling process

TBHM – 603-CO-2

Demonstrate understanding of Prey predator systems and Lotka Volterra equations

TBHM – 603-CO-3

Appraise the concept of Spatial Models (one and Two species) and Discrete Models

TBHM – 603-CO-4

Develop the appropriate techniques to Numerical solution of models, Qualitative analysis of continuous models and Routh-Hurwitz Criteria

Course Name: Linear Programming problemsCourse Code (CC): TBHM-603TBHM – 603-CO-1

Develop the fundamental concepts of Linear Programming problems and its real-life applications.

TBHM – 603-CO-2 Elaborate the understanding of simplex method and duality

TBHM – 603-CO-3

Explain various type of solution in LPP such that unbalanced, boundedness, degeneracy and optimal solution.

TBHM – 603-CO-4

Enhance and propose the idea about transportation, assignment problem and game theory and its application

Course Name: Mathematical ModelingCourse Code (CC): TBHM-604

TBHM – 604-CO-1

Acquire the basic knowledge of Power series solution of a ‘DE’ by usual point and singular point and applications in real life environment and society.

TBHM – 604-CO-2 Develop and apply the Simulation Modeling in real life situations

TBHM – 604-CO-3

Create the ideas to produce arbitrary numbers: Queuing Models: morning rush hour, harbor system, middle square method and their applications

TBHM – 604-CO-4

Ability to assess and prepare the critical thinking skills of LPP Model: graphical solution arithmetical solution, simplex method, sensitivity analysis & optimization modeling

Course Name: Theory of EquationsCourse Code (CC): TBHM-604TBHM – 604-CO-1

Appraise the concept of Derived function and Newton’s theorem on the sums of powers of roots.

TBHM – 604-CO-2

Demonstrate deep understanding about Polynomials, Equation and its properties

TBHM – 604-CO-3

Demonstrate deep understanding about Polynomials, Equation and its properties

TBHM – 604-CO-4

Develop the appropriate techniques to Descartes’s rule of signs and Transformation of equations

Course Name: Differential GeometryCourse Code (CC): TBHM-604TBHM – 604-CO-1

Develop the knowledge of differential geometry to other fields such as tensor and Cosmology

TBHM – 604-CO-2

Enhance critical thinking skills by solving problems related to differential geometry applicable to various circumstances in mathematical situations

TBHM – 604-CO-3

Analyze the complexity of considerate in mathematical topics in relative to curves and surfaces.

TBHM – 604-CO-4

Acquire the knowledge about possessions connected to curves in space, osculating plane, developable surface, circle curvature and torsion

Course Name: Viva/ DissertationCourse Code (CC): TBHM-604

TBHM – 604-CO-1

Acquire skills to operate various analytical techniques and instruments, identify their applicability in research and utilize modern tools, e-resources for literature survey and data compilation

TBHM – 604-CO-2

Demonstrate technical skills to conduct software-based experiments and ability to record observation and interpret data to derive a solution/conclusion to complex problem.

TBHM – 604-CO-3

Exhibit competent writing (with critical analysis), communication and presentation skills.

Course Name: PresentationCourse Code (CC): ADP-605ADP-605 -CO-1 Develop idea for preparing presentation applicable for future profession

ADP-605 -CO-2

Enhance the critical thinking skills, communication skills and team work for participation in conferences, symposia etc.

ADP-605 -CO-3

Demonstrate the knowledge of mathematical tools and techniques for presentations of research data.