Apply Now # Mathematics

### Program Outcomes

 PO1 an ability to apply knowledge of mathematics, science and engineering PO2 an ability to identify, formulate, and solve engineering problems PO3 an ability to design a system, component, or process to meet desired needs within realistic constraints such as economic, environmental, social, political, ethical, health and safety, manufacturability, and sustainability PO4 an ability to design and conduct experiments, as well as to analyze and interpret data PO5 an ability to use the techniques, skills, and modern engineering tools necessary for engineering practice. PO6 the broad education necessary to understand the impact of engineering solutions in a global, economic, environmental, and societal context PO7 a knowledge of contemporary issues PO8 an understanding of professional and ethical responsibility PO9 an ability to function on multidisciplinary teams PO10 an ability to communicate effectively (3g1 orally, 3g2 written) PO11 a recognition of the need for, and an ability to engage in life-long learning

### Mapping of Mission statements with program objectives

 Mission Statement PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10 PO12 To Impart Quality Education with social consciousness and make them Globally Competent. 3 3

### COURSE OUTCOMES (CO)

 Sno Course Code Course Title L-T-P Credits S NO CO NO Description of the Course Outcome 1 18SC1103 SINGLE VARIABLE CALCULUS AND MATRIX ALGEBRA 3-0-0 3 1 CO 1 Model the physical laws and relations mathematically as a first order differential equations, solve by analytical and numerical methods also interpret the solution. 2 CO 2 Model physical laws and relations mathematically as a second/higher order differential equations, solve by analytical method and interpret the solution. 3 CO 3 Obtain the Fourier series expansions of periodic functions and use the series to solve ordinary differential equations. 4 CO 4 Model physical problems mathematically as a system of linear equations and solve them by analytical and numerical methods. Also, determine the nature of Quadratic form using Eigen values. 2 18SC1104 Foundations of Computational Mathematics 2-0-0 1 5 CO 1 Identify the quantities of  Real world problems by using the concepts of arithmetic. 6 CO 2 Computing  the  areas of regular and irregular solids of real world problems. 7 CO 3 Identifying the numbers by successive division also finding the solution of equations. 8 CO 4 Estimating  the roots of an equations and find the unknown values from the data by numerical methods 3 18SC1105 LOGIC AND REASONING 0-0-2 1 9 CO 1 Understand how to use Venn diagrams to find the conclusion of statements, solve puzzles using binary logic. 10 CO 2 Understand  to solve problems on clocks, calendars  and  problems on Non verbal reasoning. 11 CO 3 Understand the available models for Venn diagrams with given data, solve problems relating to cubes and number and letter series. 12 CO 4 Understand the techniques used to solve problems  puzzles using analytical reasoning  on coding and decoding and blood relations 4 18MT1101 Basic Mathematics 2-1-0 3 13 CO 1 Apply knowledge Mathematics , fundamentals in biological science problems 14 CO 2 Identify the formulas, for solving complex engineering problems in sciences by using derivatives and integrals. 15 CO 3 Understand Vector products and their interpretations 16 CO 4 Understand different forms of line and circle equations 5 18MT1201 Multivariate Calculus 3-0-2 4 17 CO 1 Determine  extreme values for functions of several variables 18 CO 2 Determine area,  volume and moment of inertia through multiples integrals 19 CO 3 Apply the concepts of vector calculus  to calculate the gradient, directional derivative, arc length , areas of surfaces and volume of solids in practical problems 20 CO 4 Obtain analytical and numerical solutions of Heat and wave equations 21 CO5 Verify the solution of problems through MATLAB 6 18MT 2101 Probability and Statistics 2-1-0 3 22 CO 1 Identify the types of random variables and also apply discrete distributions to analyze various rela-world situations 23 CO 2 Construct the probability distribution of a  continuous random variable based on a real-world problems,  and also predict the linear and non-linear relationship between the two variables 24 CO 3 Apply statistical tests for large and small samples to test the hypothesis. 25 CO 4 Testing the hypothesis to analyze the variance by applying suitable design. 7 18MT 2102 Theory of Differential Equations in Engineering and Mechanics 2-0-2 3 26 CO 1 Obtain the response of a mechanical system having single degree-of-freedom for free and forced vibrations through linear differential equations. 27 CO 2 Model and solve free and forced vibrations of a two- degree-of-freedom system through system of linear differential equations. 28 CO 3 Obtain canonical forms of linear second order PDEs.  and Demonstrate the nature of the incompressible fluid flow using Euler and Bernoulli equations. 29 CO4 Identify the heat and wave equations in different forms, obtain their responses and develop empirical relations. 30 CO5 Determine the response of mechanical vibrating systems and heat equations which are modelled by ordinary or partial differential equations using MATLAB. 8 18MT2104 Probability and Numerical Methods 3-1-0 4 31 CO1 Identify the types of random variables and also obtain the mean and variance using  mathematical expectation 32 CO2 Apply discrete and Continuous distributions to analyze various real-world situations 33 CO3 Draw conclusion about the population based upon samples drawn from it 34 Obtain the solutions of  transcendental equations using numerical methods and also determine the future predictions using interpolation and different numerical techniques 9 18MT2103 Bio-Statistics 2-2-0 3 35 CO-1 Interpret numerical data through various graphs and determination of various constants of the data 36 CO-2 Measure and estimate the degree of linear relationship between two variables 37 CO-3 Identify the suitable probability distribution to the given experimental data and calculation of various characteristics of the respective probability distributions 38 CO-4 Draw the statistical inference of the given data through various tests of  statistical hypothesis, viz., tests for means (single and two), analysis of variance 10 18MT 1102 Fundamental of Mathematics 3-0-2 4 39 CO 1 Solve problems of matrices, limits and differential equations 40 CO 2 Formulate differential calculus, differentiation rules and identify a method for solving and interpreting the results. 41 CO 3 Formulate physical laws and relations mathematically in the form of second/higher order differential equations and identify a method for solving and interpreting the results. 42 CO 4 Verify the solution of problems through MATLAB.
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