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. |