B.SC (Mathematics, Statistics, Computer Science)

I Year

 

Course: Statistical Methods

Course Outcomes (COs):

CO1: Learning the importance of statistical techniques and concepts in the different areas of applied statistics

CO2: To make aware of the use of statistical techniques.

CO3: Learning about regression and correlations.

CO4: Learning about operations research models.

Course: Probability and Probability Distribution

Course Outcomes (COs):

CO1: Be able to calculate probabilities by applying probability laws and theoretical results.

CO2: Identify an appropriate probability distribution for a given discrete or continuous random variable and use its properties to calculate probabilities.

CO3: Calculate statistics such as the mean and variance of common probability distributions.

CO4: Calculate probabilities for joint distributions including marginal and conditional Probabilities.

Course: Vector Analysis and Geometry

Course Outcomes (COs):

CO1: Skills to calculate the results of vector addition, subtraction, vector product of three and four vectors as well as distance between points, able to find length area and volumes of curve and objects with vector function.

CO2: Learn to apply and verify Green’s, Stoke’s and Gauss theorem.

CO3: Investigate and relate geometric ideas to object of three dimensional using various approaches and methods.

CO4: Analyze and evaluate rectangular, cylindrical and spherical co-ordinates by different means.

Course: Algebra and Trigonometry

Course Outcomes (COs):

CO1: Students will able to use matrices techniques for solving system of homogeneous and non- homogeneous simultaneous linear equations. Find Eigen values and Eigen vectors of the matrix.

CO2: Identify consistent, inconsistent, dependent and independent system of equations in three variables and learn to write the solutions for each type.

CO3: Demonstrate algebraic ability with algebraic topics including exponential, logarithmic, and trigonometric functions and can express hyperbolic and inverse hyperbolic functions by using De Moiver’s theorem.

CO4: Students will use Boolean algebra to design and simplify logical circuits. Apply truth tables and the rules of propositional and predicate about the statement.

Course: Calculus and Differential Equations

Course Outcomes (COs):

CO1: Develop the ability to use differentiation in expansions of function with the help of Maclaurins and Taylors theorem by using Leibnitz Theorem of successive Differentiation.

CO2: Develop the ability to find the multiple points for a curve and then trace the curve.

CO3: Develop the ability to use different methods of Integration for different types of functions. Use the method of Integration to find the area and length of the curves.

CO4: Develop the method of integration to solve various types of differential equations of first order and Higher degrees and also of second order.

Course: Fundamental of Computers

Course Outcomes (COs):

CO1: Understand the block diagram of computer and features of windows.

CO2: Able to work with word, excel and PowerPoint application software

CO3: Able to understand the number system and logic gates.

CO4: Able to understand the memory system

CO5: Able to understand the general architecture of CPU and different addressing schemes.

Course: Programming in C 

Course Outcomes (COs):

CO1: Will be able to understand the basics of C programming

CO2: Will be able to solve mathematical and real world problems.

CO3: Will be able to understand the various phases of software development.

CO4: Will be able to understand the use of C programming.

Course: Hindi Language and Moral Values

Course Outcomes (COs):

CO1. Hkkjrh; fparu ijaijk vkSj Hkko&laink ls lk{kkRdkj ds vfrfjDr Hkk”kk dh egRrk vkSj mlds fofo/k #i fgUnh dh “kCn laink] okD;&lajpuk] i=&ys[ku ,oa Hkko& iYyou dk fodkl gksxkA

CO2. Hkkjrh; laLd`frd vkSj fparu ijaijk ls ifjp; izkIr dj visf{kr Kku dks fodflr djsaxsaA

CO3. Tkhou&ewY;] lekt&O;oLFkk] jk”Vªh; miyfC/k;ksa vkSj fodkl dh fn”kkvksa ls ifjfpr gksxsA

CO4. laizs”k.k dkS”ky dh fodkl ds lkFk&lkFk fofHkUu fo”k;ksa dh vk/kkjHkwr vo/kkj.kkvksa dks n`< djsxsa rFkk mUgksaus Hkk”kkxr v/;;u dh vksj mUeq[k gksxsaA vkn’kZ ukxfjd o l{ke ekuo gksxkA

Course: English Language

Course Outcomes (COs):

CO1: The course of English allows student to develop new ideas and ethical view point. Studying English course enriches their LSWR skills and it’s an eye opening for students and society.

CO2: Vocabulary building is the foundation of language, collection of words makes right impact on spoken and written language. Vocabulary is a key for successful communication.

CO3: This will help students to understand the rules of English language. Grammar lays the basics and correctness of English language.

CO4: This course enhances the writing skills and develops students to comprehend their writing and reading skills.

Course: Entrepreneurship

Course Outcomes (COs):

CO1: Understanding basic concepts in the area of entrepreneurship, the role and importance of entrepreneurship for economic development, developing personal creativity.

CO2: Understanding the stages of the entrepreneurial process and the resources needed for the successful development of entrepreneurial ventures.

CO3: Understanding the basics of Entrepreneurship and real life issues therein

CO4: Understanding Application of Theoretical concepts into practice while facing business problems. Contributes in Developing Reasoning and Analytical ability to foster Decision Making.

B.SC (Mathematics, Statistics, Computer Science)

II Year

Course: Statistical Inference

Course Outcomes (COs):

CO1: Review the process of statistical thinking, which involves drawing inferences about a population of interest by analyzing sample data.

CO2: Use the normal probability distribution to make probability calculations for a population assuming known mean and standard deviation.

CO3: Use the normal probability distribution to make probability calculations for a sample assuming known standard deviation.

CO4: Use a probability distribution to make probability calculations for a sample using the sample standard deviation.

Course: Sampling Techniques

Course Outcomes (COs):

CO1: Learning the importance of Sampling techniques

CO2: To make aware of the concept of stratify sampling techniques.

CO3: Learning about systematic sampling

CO4: Learning about ratio and regression methods of estimation.

Course: Advanced Calculus

Course Outcomes (COs):

CO1: Able to understand different types of sequences by various tests. Understand the convergence sequences.

CO2: Able to understand the function, its continuity. Mean Value Theorem and their Geometrical Interpretation.

CO3: Able to understand Limits, Continuity of Function of Two variables. Use of Partial Differentiation in various real problems. Use of differentiation in finding Maxima and Minima of a Function.

CO4: Able to find the double and triple integrals, Beta and Gamma Function.

CO5: Able to apply Multiple Integration in finding the volume and surface of the solid.

Course: Abstract Algebra

Course Outcomes (COs):

CO1: Understand the concepts of Groups, Sub-Groups, Normal Subgroups, Quotient Groups.

CO2: Explain the fundamental concepts of advanced algebra and its role in modern mathematics and applications.

CO3: Develop capabilities with an axiomatic treatment of mathematics.

CO4: Demonstrate to understand to verify relationships between operations satisfying various properties of groups.

CO5: Rings, Sub- Rings, Ideals Including Integral Domain, Homomorphism and Isomorphism.

Course: Differential Equation

Course Outcomes (COs):

CO1: Learn to calculate Series Solution of Differential Equations by Power Series Method, Bessel’s function, Legendre’s function and their properties.

CO2: Solving skill in the Laplace transformations, Existence theorem, Laplace transforms of derivatives and integrals, Shifting theorem, Differentiation and integration of transforms.

CO3: Solve inverse Laplace transforms and apply to solve ODE

CO4: Interpret and solve a variety of differential equations analytically and numerically.

CO5: Able to learn about the applications of partial differential equation in higher courses and various fields.

Course: Object Orient Programming Concept using C++ 

Course Outcomes (COs):

CO1: Able to Understand OOPs Concept, C++ language features. Able to Understanding and Applying Various Data types, Operators, Conversions in program design.

CO2: Able to Understand and Apply the concepts of Classes & Objects, friend function constructors &destructors in program design.

CO3: Able to Design & implement various forms of inheritance, String class, calling base class constructors

CO4: Able to Apply & Analyze operator overloading, runtime polymorphism, Generic Programming.

CO5: Able to Analyze and explore various Stream classes, I/O operations and exception handling.

Course: Data Structures 

Course Outcomes (COs):

CO1: Learn the basic types for data structure, implementation and application.

CO2: Know the strength and weakness of different data structures.

CO3: Use the appropriate data structure in context of the solution of a given problem.

CO4: Develop programming skills which require solving a given problem.

Course: Hindi Language and Moral Values

Course Outcomes (COs):

CO1: ;qok ‘kfDr dks oSf’od ekudksa dh dlkSVh ij [kjk dapu ln`’k cukuk gksA Kku gh og lk/ku gS] tks ekuo lalk/kuksa dks mnkUu ewY;] izHkko’kkyh O;fDrRo vkSj lkFkZd vfLrRo iznku djus esa l{ke gS A

CO2: vkt dh izfrLi/kkZRed thou ‘kSyh esa ,d Nk= dks i;kZIr vkRefo’okl o laizs”k.kh;rk dks ‘kfDr iznku djus esa vk/kkj ikB~;dze dh lajpuk vR;ar vk/kkj Hkwr ladYiuk dh Hkwfedk vnk djssxhA

CO3: lkFkZd l{ke tkx:d ukxfjd cudj jk”Vª fuekZ.k dh vn~Hkqr vfuok;Z dM+h cusxsaA

CO4: laizs”k.kh;rk ds iz{ksikL= dk lVhd iz;ksx djds og thou ds gj {ks= esa oakfNr izHkko ,oa lQyrk izkIr djsxsaA

Course: English Language

Course Outcomes (COs):

CO1: The course of English allows student to develop new ideas and ethical view point. Studying English course enriches their LSWR skills and it will help students to update and increase their vocabulary and sentence formation pertaining to all walks of life.

CO2: Students will be able to form the sentence grammatically correct by following the rules and concepts of grammar pertaining to tenses, articles, nouns, pronoun, determiners and verbs.

CO3: Students will be able to comprehend and write an essay in a proper structure –Introduction, main body and the conclusion. They will be able to compose different types of formal and informal letters. While writing letter students adopt different strategies so that the letter serves the intended purpose and is not misunderstood.

CO4: Students will be able to achieve the goal of perfect translation by getting proficiency at both the source language and the target language.  They differentiate between sense translation and literal translation.

Course: Environmental Science

Course Outcomes (COs):

CO1: Understand the natural environment as a system and how human enterprise affects that system.

CO2: An environmental studies course advances a student’s knowledge in a variety of current issues such as energy, pollution and environmental awareness.

CO3: Course covers how to evaluate and address environmental problems and environmental studies Include forest ecology, energy efficiency in buildings. Sustainable practices, harnessing eco- friendly power sources and political ecology.

CO4: Object of course is to address the role of regulation on environment, how social & economic conditions affect ecological issues & major environmental challenges.

 B.SC (Mathematics, Statistics, Computer Science)

III Year

 

Course: Applied Statistics

Course Outcomes (COs):

CO1: Students will be able to understand basic theoretical and applied statistics.

CO2: Students will be able to understand about commonly used measures of Demography

          pertaining to its three basic aspects viz. the fertility, mortality and migration.

CO3: Real data implementation of various demographic concepts through numerical  examples.

CO4: Expose to computation of different types of Index numbers, consumer price index

          number.

Course: SQC and Design of Experiments 

Course Outcomes (COs):

CO1: Students will be able to understand the basic concept of statistics quality control and

           control charts.

CO2: Students will be able to understand the basic concept of product control and sampling inspection plan.

CO3: Students will be able to understand the basic concept of analysis of variance, CRD

          and  RBD.

CO4: Students will be able to understand the basic concept of LSD and factorial  experiment design.

Course: Linear Algebra and Numerical Analysis 

Course Outcomes (COs):

CO1: Understand the basic concept of vector spaces and its dimensional.

CO2: Understand the basic concept linear transformation and their representation as matrices.

CO3: Understand the basic concept of inner product.

CO4: Understand the basic concept of solutions of equations and ordinary differential equations.

Course: Real and Complex Analysis 

Course Outcomes (COs):

CO1: Understand the basic concept of Real functions and functions of two variables.

CO2: Understand the basic concept of Integral of a function.

CO3: Understand the basic concept of metric space and subspaces.

CO4: Understand the concept of complex variable function. and Power series representation of an analytical function.

Course: Discrete Mathematics 

Course Outcomes (COs):

CO1: Understand the basic concept of Boolean function and Applications.

CO2: Understand the basic concept of partial order relation and lattice.

CO3: Understand the basic concept of graph Theory.

CO4: Understand the concept of Trees and matrix representation of graph.

Course: Database Management Systems 

Course Outcomes (COs):

CO1: Able to understand the basics of database management

CO2: Able to understand the basics of database design

CO3: Able to understand the relational algebra and its operations

CO4: Able to understand the database normalization process.

Course: Operating System Concepts 

Course Outcomes (COs):

CO1: Understands the basic concepts of operating system.

CO2: Able to understand the CPU scheduling.

CO3: Able to understand the concept of deadlocks.

CO4: Able to understand the UNIX operating system.

 

Course: Hindi Language and Moral Values

Course Outcomes (COs):

CO1: मध्यप्रदेश की लोककला व नर्मदा के सौन्दर्य से विद्यार्थियों का परिचय होगा|

CO2: वर्तमान दौर अनुसंधान का है,अत: हिन्दी भाषा द्वारा नवीन शब्दावली से परिचित होंगे|

CO3: विद्यार्थी व्याकरण नियमावली से परिचित होकर भाषा की उपयोगिता को जान पायेंगे|

CO4: विश्व के प्रमुख धर्मों को जानकर राष्ट्र में एकता स्थापित करने को प्रेरित होंगे|

Course: English Language

Course Outcomes (COs):

CO1: The students would be able to understand basics of English grammar and its usage.

CO2: They will be able to understand prose and poetry and express their views in own

          words and simple language.

CO3: They will be able to write effectively report writing and paragraph writing, enhance

          overall writing skills.

CO4: They will be able to understand C.V drafting.

Course: Basics of Computer and IT

Course Outcomes (COs):

CO1: Understanding the basic concept and features of computer system, development of

          Information Technologies in Business Organization.

CO2: To gain knowledge about various software tools and their applications.

CO3: Understand the role of computer levels languages, operating system.

CO4: Understand to deal with peripheral devices between Hardware and Software, also to

         gain knowledge about data base management system in organized manner.