Subject Name: Probability and Calculus of Variations Sem B.E... · 2021. 2. 2. · simple shear,...

SRI SIDDHARTHA INSTITUTE OF TECHNOLOGY- TUMAKURU

(A constituent College of Siddhartha Academy of Higher Education, Tumakuru)

Department: Civil Engineering

Syllabus for the Academic Year 2020 - 2021

COMMON TO ME, CV AND IEM

Department: MATHEMATICS Semester: IV

Subject Name: Probability and Calculus of Variations

Subject Code: 18MA401 L-T-P-C: 4 – 0 – 0 - 4

Course Objectives:

UNIT Description Hours

I

Probability Distributions: Review of basic probability theory. Random

variables ( Discrete and Continuous), Probability of mass/density functions.

Binomial distribution, Poisson‟s distribution, exponential distribution,

Uniform distribution and Normal distribution (without derivations) and

problems.

10

II

Joint probability distribution: Joint probability distribution for two discrete

random variables, Marginal distributions, Expectation, Co-variance,

Correlation coefficient.

Sampling Theory: Introduction to Sampling distributions, standard error,

Type-I and Type-II errors. Test of hypothesis for means, student‟s t-

distributions, Chi-square distribution as a test of goodness of fit.

10

Sl.No Course Objectives

1 Apply least square method to fit a curve for the given data and evaluate the

correlation coefficient and regression lines for the data.

2 To develop probability distribution and joint probability distribution of

discrete and continuous random variables.

3 Determine continuity/differentiability/analyticity of a function and

evaluate a contour integral using Cauchy‟s integral formula.

4 Compute extreme values of a variational problems like geodesics, least

time and shortest path.




III

Statistical Methods: Correlation and regression- Karl Pearson‟s coefficient

of Correlation, problems. Regression analysis- lines of regression (without

proof) problems.

Curve Fitting: Curve fitting by the method of least square- Fitting of the

curves of the form y=ax+b or y=a+bx, y=ax2

+bx+c or y=a+bx+cx2 and

baxy .

10

IV

Calculus of Complex functions: Review of function of a complex variables,

limits, continuity, differentiability. Analytic functions,Cauchy-Reimann

equations in Cartesian and polar forms (without proof). Construction of

analytic functions by Milne-Thompson Method-problems.

Conformal Transformations, Discussion of transformations: 2w z , zw e

and z

zw1

. Bilinear Transformations. Applications - Flow Problems.

11

V

Calculus of Variations: Functional, Euler‟s Equation, standard variation

problems, Minimal surface of revolution, Hanging chain problem,

Brachistochrone problem.

Special functions: Series solution of ODE by power series and Frobenius

method, Series solution of Bessel‟s differential equation leading to Bessel‟s

function of first kind, Series solution of Legendre‟s differential equation

leading to Legendre‟s function , Legendre‟s polynomial-problems.

11

Course Outcomes

Course

outcome

Descriptions

CO1

Use the concept of complex potential and conformal transformation to solve the

problems arising in electromagnetic field theory, fluid flow visualization, aerofoil theory,

image processing and other engineering field.

CO2 Apply discrete and continuous probability distributions in analysing the probability

models and demonstrate the validity of testing the hypothesis arising in engineering field.

CO3 Determine Extremal of the functional and solution of special functions arising in

dynamic of rigid bodies and vibrational analysis.

CO4 Make use of correlation and regression analysis to fit a suitable mathematical

model for the statistical data.




Text Books:

Sl No

Text Book title Author Volume and Year of Edition

1 Higher Engineering Mathematics B.S.Grewal 43rd

Ed.,2015

2 Advanced Engineering Mathematics E.Kreyszig 10th

Ed.,2015

Reference Book:

Sl No


1 A text book of Engineering Mathematics N.P.Bali and Manish

Goyal

7th

Ed.,2010.

2 Higher Engineering Mathematics B.V.Ramana 2006.

3 Higher Engineering Mathematics H.K.Das and

Er.RajnishVerma

1st

edition, 2011.

4 A First Course in Probability S. Ross 6th Ed., 2002.




Syllabus for the Academic Year – 2020 - 2021

Department: CIVIL ENGINEERING Semester: IV

Subject Name: BUILDING PLANNING AND DRAWING

Subject Code: 18CEI402 L-T-P-C:3-0-2-4

Description Hours

PART-A

To prepare working drawing of component of buildings

Doors- i) Fully paneled doors ii) Half paneled and half-glazed Door

Windows- i) Fully paneled window ii) Half paneled and half-glazed window

Use of Auto CAD- Doors- i) Fully paneled door ii) Half paneled and half-glazed

Door

Windows- i) Fully paneled window ii) Half paneled and half-glazed window

Functional design of building (Residential, public and industrial), positioning of

various components of buildings, orientation of buildings, building standards, bye

laws, set back distances and calculation of carpet area, plinth area and floor area

ratio.

20

For a given single line diagram, preparation of water supply, sanitary and electrical

layouts.

Use of Auto CAD- For a given single line diagram, preparation of water supply,

sanitary and electrical layouts.

16


1 To make the students to understand the concept of building bye-laws

2 To know the principles of planning including the incorporation of utility

services

3 To develop the plan, Elevation and section of various types of buildings




PART –B

Development of plan, elevation, section and schedule of openings from the given

line diagram of

1)Residential Buildings ii) Office Building iii) Health Centre iv) School Building

Use of Auto CAD-)Residential Building ii) School Building iii) Health Centre

iv) Office Building

16

Course outcomes:

Text Books:

Sl

No

Text Book title Author Volume and

Year of Edition

1 Building Drawing, Tata McGraw Hill Publishers ,

New Delhi

Shah M.H and Kale C.M, 4th Edition, 2017

2 Civil Engineering Drawing And Design, C B S

Publishers, New Delhi

D N Ghose 2nd

Edition, 2017

Sl. No Course outcomes

CO1

Students will have the knowledge of planning, designing of residential and

public buildings manually and using AutoCAD according to requirements,

design the various components involved these in by keeping all the principles of

planning following the extent by laws of the local authorities.

CO2

Students will be able to draw water supply, sanitary and electrical layout details

of residential and public buildings manually and using AutoCAD

CO3

Students will be able to draw plan, elevation and section of residential and

public buildings manually and using AutoCAD




Reference Books:

Sl

No

Text Book title Author Volume and Year

of Edition

1 Building Planning And Drawing, I K

International publishing house, New

Delhi

S SBhavikatti and

M V Chitawadgi

1st Edition, 2019

2 Civil Engineering Drawing And Design,

Charotar Publishers, New Delhi

B C Rangawala 3rd

Edition 2017

3 National Building Code (IS 1962:1989) BIS New Delhi






Subject Name: STRENGTH OF MATERIALS

Subject Code: 18CE403 L-T-P-C: 3-1-0-4


I

Simple Stresses and Strain: Introduction, Definition and concept and of stress and

strain. Hooke‟s law, Stress-Strain diagrams for ferrous and non-ferrous materials,

factor of safety, Elongation of tapering bars of circular and rectangular cross

sections, Elongation due to self-weight. Saint Venant‟s principle, Compound bars,

Temperature stresses, Compound section subjected to temperature stresses, state of

simple shear, Elastic constants and their relationship.

10

II

Compound Stresses: Introduction, state of stress at a point, General two

dimensional stress system, Principal stresses and principal planes. Mohr‟s circle of

stresses.

Analysis of Trusses: Introduction, assumptions, analysis of pin jointed plane

determinate trusses using method of joints and sections.

10

10


1

The course provides a exposure to understand the basic concepts of the

stresses and strains for different materials and strength of structural

elements.

2

The course provides a exposure to know the development of internal

forces and resistance mechanism for one dimensional and two

dimensional structural elements.

3

The course provides a exposure to analyse and understand different

internal forces and stresses induced due to representative loads on

structural elements.

4

The course provides a exposure to analyse and understand principal

stresses due to the combination of two dimensional stresses on an

element and failure mechanisms in materials.




III

Shear Force and Bending Moment in Beams: Introduction to types of

beams, supports and loadings. Definition of bending moment and shear force,

Sign conventions, relationship between load intensity, bending moment and

shear force. Shear force and bending moment diagrams for statically

determinate beams subjected to points load, uniformly distributed loads,

uniformly varying loads, couple and their combinations.

12

IV

Bending and Shear Stresses in Beams: Introduction, pure bending theory,

Assumptions, derivation of bending equation, modulus of rupture, section

modulus, flexural rigidity. Expression for transverse shear stress in beams,

Bending and shear stress distribution diagrams for circular, rectangular, „I‟,

and „T‟ sections.

10

10

V

Torsion in Circular Shaft: Introduction, pure torsion, Assumptions,

derivation of torsion equation for circular shafts, torsional rigidity and polar

modulus Power transmitted by a shaft, combined bending and torsion.

Columns and Struts: Introduction, short and long columns. Euler‟s theory;

Assumptions, Derivation for Euler‟s Buckling load for different end

conditions, Limitations of Euler‟s theory. Rankine-Gordon‟s formula for

columns.

10

Course

outcome

Students will be able to

CO1

To understand the strength of various structural elements, internal forces

such as compression, tension, shear, bending and torsion.

CO2 To understand the basic concept of analysis of various structural elements.

CO3 To apply the knowledge to select suitable material for the construction.

CO4 To analyze various structural elements subjected to various kinds of loads.




Text Books:

Sl No


1 Strength of Materials B.S. Basavarajaiah,

P.Mahadevappa

University Press

(India) Pvt. Ltd., 3rd

Edition, 2010

2 Mechanics of Materials Ferdinand P. Beer, E. Russell

Johnston and Jr.John T.

DeWolf

Tata McGraw-Hill,

Third Edition, SI

Units

Reference Book:

Sl No


1 Elements of Strength of

Materials

D.H. Young, S.P.

Timoshenko

East West Press Pvt. Ltd., 5th

Edition (Reprint 2014)

2 Strength of Materials R K Bansal 4th Edition, Laxmi

Publications, 2010

3 Strength of Materials S.S. Rattan McGraw Hill Education

(India) Pvt. Ltd., 2nd Edition

(Sixth reprint 2013)

4 Analysis of Structures Vazirani, V N,

Ratwani M M. and S

K Duggal

Vol. I, 17th Edition, Khanna

Publishers, New Delhi.






Subject Name: HYDRAULICS AND HYDRAULIC MACHINES



I

Flow In Open Channels: Definition Of Open Channels, Classification, Difference

Between Pipe Flow & Open Channel Flow, Types Of Flow, Geometric Properties

Of Open Channels, Uniform Flow In Open Channels, Chezy's And Manning's

Formulae, Problems On Uniform Flow.

Flow In Open Channels: Specific Energy, Definitions, Specific Energy Curve,

Conditions For Minimum Specific Energy And Maximum Discharge, Critical Flow

In Rectangular Channels, Problems, Hydraulic Jump In Rectangular Channels,

Froude Number Concept, Problems On Hydraulic Jump.

08


1

The Course Provides a Exposure to study The Design of Open Channels of Various

Cross Sections, Study of Specific Energy Concepts of Fluid in Open Channel and

Energy Dissipation. Water Surface Profiles At Different Conditions

2 The Course Provides a Exposure to Study Principles of Dimensional Analysis

3 The Course Provides a Exposure to Study Impact of Jet on Different types of

Vanes

4

The Course Provides a Exposure to Study the Working Principles of the Hydraulic

Machines and boundary layer concepts.




II

Water Hammer In Pipes:Definition, Equation For Pressure Rise Due To Gradual

Closure Of Valves, Equation For Pressure Due To Sudden Closure Of Valves In

Rigid & Elastic Pipes, Problems.

Dimensional Analysis & Model Similitude: Introduction To Dimensional

Analysis, Units & Dimensions, Table Of Dimensions, Dimensional Homogeneity,

Methods Of Analysis(Rayleigh's & Buckingham's Method), Problems On

Rayleigh's &Buckingham's Methods, Model Studies, Introduction, Comparison

With Dimensional Analysis, Similitude, Dimensionless Parameters.

08

III

Impact Of Jet On Flat And Curved Vanes: Introduction To Impulse Momentum

Equation And Its Applications, Force Exerted By A Jet On A Fixed vane,

Derivations, Force Exerted By A Jet On A Moving Target, Derivations. Force

Exerted By A Jet On A Curved Vane,Concept Of Velocity Triangles (no

problems).

07

IV

Turbines and Boundary layer: Hydropower generation, Turbines- classification,

description of pelton wheel turbine and francis turbine. Unit quantities, specific

speed, problems, characteristic curves of turbine. General layout of hydroelectric

plant.

Boundary layer Theory :Introduction, Laminar boundary layer, turbulent boundary

layer, laminar sub layer, displacement thickness, momentum thickness.

08

V

Centrifugal Pumps: Definition Of Pump, Classification, Description & General

Principle Of Working, Priming & Methods, Work Done & Efficiencies Of A

Centrifugal Pump, Minimum Starting Speed, Cavitation In Centrifugal Pumps,

Multistage Pumps, Problems On Centrifugal Pumps

08

Course

outcome

Descriptions : Students will be able to

CO1 Able to apply open channel flow concepts , apply energy concepts in open

channel flow

CO2 Apply Dimensional Analysis concepts

CO3

Apply the Principles of Impulse Momentum Equation To Study Impact of

Jet on Different types of Vanes

CO4

Choose turbine and pumps for various conditions to know their operating

characteristics and to know about boundary layer.




Text Books:

Sl No


1 Hydraulics and Fluid Mechanics

Including Hydraulic Machines

P.N. Modi and S.M.

Seth

20th Edition- 2015

2 A textbook of Fluid Mechanics and

Hydraulic Machines

R K Bansal 9th Edition -2017

Reference Book:

Sl No


1 Fluid Mechanics and Hydraulics J.B. Evett, and C.Liu 3rd Edition- 2009

2 Elementary Hydraulics

Cruise, J.F., Singh,

V.P. and Sherif,M.M.

1st Edition -2007

3 Fluid mechanics and Hydraulic Machines K A Subramanya 3rd Edition -2009






Subject Name: CONCRETE TECHNOLOGY


Course Objectives:


I

Lime and Cement: Types of lime, Chemical Composition of Portland Cement and

Hydration of Cement Manufacture of Portland Cement, Types of Cements and their

uses, Lime & cement mortar

7

II

Concrete ingredients: Testing of Cement-field testing, fineness by sieve test and

Blaine's air permeability test. Normal consistency, setting time, soundness.

Compression strength of cement and grades of cement, quality of mixing water.

Fine aggregate grading analysis. Specific gravity, bulking, moisture content,

deleterious materials. Coarse aggregate importance of size, shape and texture.

Grading of aggregates, sieve analysis, specific gravity, Flakiness and elongation

index, crushing impact and abrasion tests.

8


1 Recognize the importance of material characteristics and their

contributions to strength development in Concrete

2 Proportion ingredients of Concrete to arrive at most desirable mechanical

properties of Concrete.

3 Ascertain and measure engineering properties of concrete in fresh and

hardened state which meet the requirement of real time structures.




III

Fresh concrete: Workability, factors affecting workability, Measurement of

workability, slump Flow tests, Compaction factor and vee-bee consistometer

tests. Segregation and bleeding. Process of manufacture of concrete-Batching,

Mixing, Transporting, Placing, Compaction and Curing. Chemical

admixtures-plasticizers, accelerators, retarders and air entraining agents.

Mineral admixtures-Fly ash, Silica fumes and rice husk ash

8

IV

Hardened concrete: Factors affecting strength, w/c ratio, gel/space ratio, maturity

concept. Relation between compressive strength and tensile strength bond, strength,

modulus of rupture. Elasticity-Relation between modulus of elasticity, Poisson ratio.

Shrinkage-plastic shrinkage and drying shrinkage, factors affecting shrinkage.

Creep, factors affecting creep, effect of creep. Durability-definition, significance,

permeability, sulphate attack, chloride attack, carbonation, freezing and thawing.

8

V

Mix design: Introduction, variables in proportioning exposure conditions, Procedure

of mix design as per IS 10262-2009. Numerical examples of mix design.

Non Destructive testing of concrete: Penetration and pull out test, Principles,

applications and limitation, Rebound hammer test, Principles, applications and

limitation, Ultrasonic pulse velocity test, Principles, applications and limitation

8

Course Outcomes

Course

outcome

Descriptions

CO1 Understand the various ingredients of concrete and their properties, types of

cement and their uses. CO2

Able to understand the various tests on fresh concrete and Hardened concrete

CO3 Able to do the mix design as per IS code specification

CO4 Gain knowledge of non-destructive tests on concrete.




Text Books:

Sl

No


of Edition

1 Concrete Technology Neville A M Volume 1,2nd

Edition,2019

2 Concrete Technology, Gambhir M L Volume 1,5th Edition,2017

Reference Book:

Sl

No


of Edition

1 Concrete Technology M S Shetty Jan 2018

2 Concrete Mix Design N. Krishna Raju Volume 1,3rd

Edition 2010






Subject Name: BASIC ELECTRONICS


Course Objectives:


I

Semiconductor Diodes: Introduction, PN junction diode - characteristics,

Rectification, HWR, FWR - Center tapped & Bridge rectifier, C filters (qualitative

analysis), Zener diodes, Zener diode as Voltage Regulator.

BJT: Introduction, Transistor operation: NPN, C E Characteristics (Both input

and output) Single stage R C Coupled Amplifier (qualitative analysis).

8

8 II

OPAMP & Oscillators: Operational Amplifier Ideal Characteristics, Op-Amp

Applications: Inverting, Non Inverting Amplifiers Adder, problems.

Oscillators: Barkhausen Criteria, Hartley, Colpitts and Crystal Oscillators.

Note: Only Circuit description (No Mathematical Analysis), substitution problems

only.

8

III

Communication Systems: Modulation, AM, FM Modulation, Power in AM

wave, Satellite Communication principle (Block diagram), Cellular Telephone

Networks (Block diagram), RADAR: Introduction, Radar Range Equation (No

derivation), Basic Pulsed Radar set, Applications of Radar. substitution problems

only.

Note: Block Diagram Approach (No Mathematical Analysis).

8

IV

Digital Logic: Introduction to number systems-Binary, Octal and Hexadecimal,

1‟s and 2‟s complement, Logic gates, Boolean Algebra, Demorgan‟s Theorem,

Half adder, Full adder, Clocked RS, JK, D, and T flip flop (Logic diagram and

truth-table).

8

8

Sl.No Course Objectives : Students will be able to learn about

1 The working of electronics devices/circuits and their applications.

2 Concepts of communication and system

3 Digital electronics and Microcontroller.




V

The 8051 Microcontroller: Introduction, Difference between Microprocessors

and Microcontrollers, RISC & CISC CPU Architectures, Harvard & Von-

Neumann CPU architecture, Architecture of 8051, Pin diagram of 8051, Memory

organization, External Memory interfacing, Stacks, Addressing Modes.

7

Course Outcomes: At the end of the course the student will be able to:

Text Books:

Sl No Text Book title Author Volume and Year of Edition

1 "Electronic Devices and Circuits" David A Bell 5th Edition, Oxford University

Press 2008.

2 “Digital Logic and Computer Design” M. Morris Mano 4th Edition, Pearson India, 2011.

Reference Book:

Sl No Text Book title Author Volume and Year of

Edition 1 “OP-AMPS & Linear Integrated

circuits”

Ramakant .A. Gayakwad PHI, New Delhi, 3rd Edition,

2004.

2 The 8051 Microcontroller and

Embedded Systems – using

assembly and C”

Muhammad Ali Mazidi&

Janice Gillespie Mazidi and

Rollin D. McKinlay

PHI, 2006 / Pearson, 2006

CO Descriptions

CO1 Analyze basic electronic non-linear devices.

CO2 Analyze electronic circuits used for specific applications, such as oscillators

and amplifiers and op-amp applications

CO3 Understand the basic concepts of analog modulation techniques and glimpse

of other communication systems-satellite communications and RADAR.

CO4 Understand number systems and analyze basic digital (combinational and

sequential) circuits and architecture of a microcontroller.






Subject Name: SURVEYING PRACTICE – II

Subject Code: 18CEL407 L-T-P-C: 0-0-2-1

Course Objectives :


1 To facilitate the students to develop their intellectual and motor skills to

conduct the surveying works based on objectives.

2 To train the students of civil engineering in using various surveying

Instruments - care and adjustments.

3 To train the students to collect the field data, field notes and to apply

corrections required using suitable methods before plotting or setting-out.


1

a) Measurement of horizontal angles with method of repetition and reiteration using

theodolite.

b) Measurement of vertical angles using theodolite.

15

2 To determine the elevation of an object using single plane method when base is

accessible and inaccessible.

3 To determine the distance and difference in elevation between two inaccessible

points using double plane method.

4 To determine the tachometric constants using horizontal and inclined line of sight.

5 Distance between inaccessible points using tachometer.

6 To set out simple curves using linear methods-perpendicular offsets from long chord

and offsets from chords produced.

7 To set out simple curves using Rankine's deflection angles method.

8 To set out compound curve by angular methods with using theodolite only.




Course Outcomes:

Text Books:

Sl No Text Book title Author Volume and

Year of Edition 1

“Surveying”, Laxmi Publications, New

Delhi

B CPunmia, Ashok kumar

Jain and Arunkumar Jain

Volume 1, 17th

Edition, 2016

2 “Engineering Surveying”, Tata

McGraw-Hill publications, New Delhi

S K Duggal Volume 1, 3rd

Edition, 2009

Reference Books:

Sl No Text Book title Author Volume and

Year of Edition

1 “Surveying and levelling”, Standard Book

House, New Delhi

K R Arora Volume 1, 11th

Edition, 2015

2 “Plane Surveying”, New Age International

publishers, New Delhi

A M Chandra Volume 1, 2nd

Edition, 2016

9 To set out transition curve.

15

10 Demonstration for the Exposure to use of Total Station-Traversing, Longitudinal

sections, Block leveling, Usage of Relevant software for preparation of the contour

drawings.

09

Course outcome

Descriptions

CO1

Students will be able to perform trigonometric surveying to avail field data

CO2

Students will be able to set out required curve based on field condition

CO3 Students will be able to perform tacheometric survey to avail field data

CO4 Students will be able to use total station for various type of field survey






Subject Name: BASIC MATERIAL TESTING LABORATORY

Subject Code: 18CEL408 L-T-P-C: 0-0-2-1

Course Objectives:


1 Ability to apply knowledge of mathematics and engineering in calculating the

mechanical properties of structural materials.

2 Ability to function on multi-disciplinary teams in the area of materials testing

3 Ability to function on multi-disciplinary teams in the area of materials testing

4 Understanding of professional and ethical responsibility in the areas of material

testing.


1 Tension test on Mild steel and HYSD bars.

3

2 Compression test of Mild Steel, & Cast iron

3

3 Torsion test on Mild Steel circular sections 3

4 Shear Test on Mild steel.

3

5 Impact test on Mild Steel (Charpy&lzod) 3

6 Bending and Re bending test on steel(for demonstration) 3

7

Hardness tests on ferrous and non-ferrous metals

1. Brinell's,

2. Rockwell

3. Vicker's

6

8 Bending Test on RCC beam under two point loading 3

9

Tests on Coarse aggregates :

1. Water Absorption

2. Specific Gravity

3. Bulk Density

4. Sieve Analysis

12




Course Outcomes

Text Books:

Sl

No


of Edition

1 Testing of Engineering Materials Davis, H.E., Troxell,

G. and Hauck, G.

McGraw Hill

Publications, New

York. 1984 2 Concrete Manual M.L.Gambhir DhanpatRai& Sons

New Delhi

Reference Book:

Sl

No


of Edition

1 Mechanical Testing of Materials Fenner, George Newnes Ltd.

London 2 Experimental Strength of Materials Holes K A, English Universities

Press Ltd. London 3 Testing of Metallic Materials Suryanarayana A K

4 Material Testing Laboratory Manual Kukreja C B, Kishore

K. and Ravi Chawla

Standard Publishers

& Distributors 1996.

Course outcome

Descriptions

CO1 Students will be able to understand the behavior of engineering materials by

conducting tension and compression tests

CO2 Students will be able to understand the behavior of engineering materials by

conducting torsionand bending tests CO3 Students will be able to understand the behavior of engineering materials by

conducting hardness and impact tests CO4 Students will be able to find certain properties course aggregates, like water

absorption specific gravity, bulk density and fineness modulus




Subject Name: Skill Development II

Subject Code: 18SK401 L-T-P-C: 0-0-2-1

Course Objectives


I

Time and Work, Chain Rule, pipes and cisterns, work and wages, Number

series-perfect square series ,perfect cube series, geometricseries,two stage type

series, mixed series ,missing number series, order and ranking ,square roots

and cuberoots, Data interpretation- bar graph ,linegraph, tabularform, caselet form, radar/web,piechart, missing data.

4

II Simple Interest and Compound Interest , Puzzles, brain teasers, data

sufficiency, Mixtures and allegation, statement course and action, statement

course and effect ,clocks and calendars

4

III Permutation and Combination, Probability, Mathematical reasoning, logical

reasoning, visual sequence, set theory, Venn diagrams, seating arrangements ,cubes and dice, alphabet test, analogy classification

6

IV Change voice, Paragraph Formation, Reading Compression, Idioms and

phrases, Ordering sentence, Completing sentence, Selecting words, Change of

speech.

8

Sl.

No.

Course Objectives

1 Unique shortcut techniques for mental ability to improve speed and accuracy

2 Improve logical thinking to solve various questions and puzzles in reasoning.

3 Excellent communication, time management and problem solving

4 Approach oriented training and interactive methodology.

5 Create amicable relationships to meet professional objectives

6 To give better idea on different topics to increase the competency of the students in

the subject.




V

Extempore, Accent Training, Business Communication Skills, Articulation

Skills, Presentation Skills, Business Writing Skills, Resume building, Group

Discussion.

6

Course Outcomes

Text Books:

Sl No Text Book title Author

1 Quantitative aptitude for CAT Arun Sharma

2 Quantitative aptitude for competitive examinations R.S.Aggarwal

3 Fast Track objective Arithmetic Arihant publications

4 Quantitative Aptitude quantum cat SarveshK.Verma

Course

outcome

Descriptions

CO1

Understand the basic concepts of quantitative ability, logical reasoning,

verbal reasoning and also soft skills.

CO2 Inclusive and engaging environment for a dynamic campus community

CO3 Proficient use of qualitative and quantitative methods in problem solving

CO4 Critical and analytical thinking across a range of discipline.




Reference Book:

Sl No Text Book title Author Volume and Year

of Edition

1 Verbal and non verbal reasoning R.S.Aggarwal s chand publications

2 The power of soft skills Robert A. Johnson

Subject Name: Probability and Calculus of Variations Sem B.E... · 2021. 2. 2. · simple shear,...

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