Civil Engineering (CE) Exam  >  Civil Engineering (CE) Notes  >  GATE Civil Engineering (CE) 2025 Mock Test Series  >  GATE Civil Engineering Syllabus 2023 with Weightage

GATE Civil Engineering Syllabus 2023 with Weightage | GATE Civil Engineering (CE) 2025 Mock Test Series PDF Download

Download, print and study this document offline
Please wait while the PDF view is loading
 Page 1


Subject-wise weightage for a subject gives an idea about the relative importance of topics
within the subject and helps in planning the preparation. GATE CE Syllabus 2023 has been
released along with the official notification. 72% of the GATE CE syllabus is from the Core
Discipline, 13% from Engineering Mathematics, and 15% from General Aptitude.
Here is the list of topics and sub-topics for each subject that needs to be covered for the
GATE 2023 Civil Engineering exam. Make sure the candidates get to know the following
sections:
? General Aptitude
? Engineering Mathematics
? Structural Engineering
? Geotechnical Engineering
? Water Resources Engineering
? Environmental Engineering
? Transportation Engineering
? Geomatics Engineering
GATE Civil Engineering Subject-Wise Weightage:
2019/2020/2021/2022
Page 2


Subject-wise weightage for a subject gives an idea about the relative importance of topics
within the subject and helps in planning the preparation. GATE CE Syllabus 2023 has been
released along with the official notification. 72% of the GATE CE syllabus is from the Core
Discipline, 13% from Engineering Mathematics, and 15% from General Aptitude.
Here is the list of topics and sub-topics for each subject that needs to be covered for the
GATE 2023 Civil Engineering exam. Make sure the candidates get to know the following
sections:
? General Aptitude
? Engineering Mathematics
? Structural Engineering
? Geotechnical Engineering
? Water Resources Engineering
? Environmental Engineering
? Transportation Engineering
? Geomatics Engineering
GATE Civil Engineering Subject-Wise Weightage:
2019/2020/2021/2022
A pie-chart is given below that represents subject-wise weightage for the GATE- Civil
engineering exam.
Syllabus for T echnical Subject: Civil Engineering
1. Engineering Mathematics
? Linear Algebra: Matrix algebra; Systems of linear equations; Eigen
values and Eigen vectors.
? Calculus: Functions of single variable; Limit, continuity and
differentiability; Mean value theorems, local maxima and minima;
T aylor series; Evaluation of de?nite and inde?nite integrals,
application of de?nite integral to obtain area and volume; Partial
derivatives; T otal derivative; Gradient, Divergence and Curl, Vector
identities; Directional derivatives; Line, Surface and Volume
integrals.
? Ordinary Differential Equation (ODE): First order (linear and
non-linear) equations; higher order linear equations with constant
coef?cients; Euler-Cauchy equations; initial and boundary value
problems.
? Partial Differential Equation (PDE): Fourier series; separation of
variables; solutions of one- dimensional diffusion equation; ?rst and
second order one-dimensional wave equation and two-dimensional
Laplace equation.
? Probability and Statistics: Sampling theorems; Conditional probability;
Descriptive statistics - Mean, median, mode and standard deviation;
Random Variables – Discrete and Continuous, Poisson and Normal
Distribution; Linear regression.
Page 3


Subject-wise weightage for a subject gives an idea about the relative importance of topics
within the subject and helps in planning the preparation. GATE CE Syllabus 2023 has been
released along with the official notification. 72% of the GATE CE syllabus is from the Core
Discipline, 13% from Engineering Mathematics, and 15% from General Aptitude.
Here is the list of topics and sub-topics for each subject that needs to be covered for the
GATE 2023 Civil Engineering exam. Make sure the candidates get to know the following
sections:
? General Aptitude
? Engineering Mathematics
? Structural Engineering
? Geotechnical Engineering
? Water Resources Engineering
? Environmental Engineering
? Transportation Engineering
? Geomatics Engineering
GATE Civil Engineering Subject-Wise Weightage:
2019/2020/2021/2022
A pie-chart is given below that represents subject-wise weightage for the GATE- Civil
engineering exam.
Syllabus for T echnical Subject: Civil Engineering
1. Engineering Mathematics
? Linear Algebra: Matrix algebra; Systems of linear equations; Eigen
values and Eigen vectors.
? Calculus: Functions of single variable; Limit, continuity and
differentiability; Mean value theorems, local maxima and minima;
T aylor series; Evaluation of de?nite and inde?nite integrals,
application of de?nite integral to obtain area and volume; Partial
derivatives; T otal derivative; Gradient, Divergence and Curl, Vector
identities; Directional derivatives; Line, Surface and Volume
integrals.
? Ordinary Differential Equation (ODE): First order (linear and
non-linear) equations; higher order linear equations with constant
coef?cients; Euler-Cauchy equations; initial and boundary value
problems.
? Partial Differential Equation (PDE): Fourier series; separation of
variables; solutions of one- dimensional diffusion equation; ?rst and
second order one-dimensional wave equation and two-dimensional
Laplace equation.
? Probability and Statistics: Sampling theorems; Conditional probability;
Descriptive statistics - Mean, median, mode and standard deviation;
Random Variables – Discrete and Continuous, Poisson and Normal
Distribution; Linear regression.
? Numerical Methods: Error analysis. Numerical solutions of linear and
non-linear algebraic equations; Newton’s and Lagrange polynomials;
numerical differentiation; Integration by trapezoidal and Simpson’s
rule; Single and multi-step methods for ?rst order differential
equations.
2. Structural Engineering
? Engineering Mechanics: System of forces, free-body diagrams,
equilibrium equations; Internal forces in structures; Frictions and its
applications; Centre of mass; Free Vibrations of undamped SDOF
system.
? Solid Mechanics: Bending moment and shear force in statically
determinate beams; Simple stress and strain relationships; Simple
bending theory, ?exural and shear stresses, shear centre; Uniform
torsion, Transformation of stress; buckling of column, combined and
direct bending stresses.
? Structural Analysis: Statically determinate and indeterminate
structures by force/ energy methods; Method of superposition;
Analysis of trusses, arches, beams, cables and frames; Displacement
methods: Slope de?ection and moment distribution methods;
In?uence lines; Stiffness and ?exibility methods of structural
analysis.
? Construction Materials & Management: Construction Materials:
Structural Steel - Composition, material properties and behaviour;
Concrete - Constituents, mix design, short-term and long-term
properties. Construction Management: Types of construction
projects; Project planning and network analysis - PERT and CPM;
Cost estimation.
? Concrete Structures: Working stress and Limit state design
concepts; Design of beams, slabs, columns; Bond and development
length; Prestressed concrete beams.
? Steel Structures: Working stress and Limit state design concepts;
Design of tension and compression members, beams and beam-
columns, column bases; Connections - simple and eccentric,
beam-column connections, plate girders and trusses; Concept of
plastic analysis - beams and frames.
3. Geotechnical Engineering
? Soil Mechanics: Three-phase system and phase relationships, index
properties; Uni?ed and Indian standard soil classi?cation system;
Permeability - one dimensional ?ow, Seepage through soils – two -
dimensional ?ow, ?ow nets, uplift pressure, piping, capillarity,
seepage force; Principle of effective stress and quicksand condition;
Compaction of soils; One- dimensional consolidation, time rate of
Page 4


Subject-wise weightage for a subject gives an idea about the relative importance of topics
within the subject and helps in planning the preparation. GATE CE Syllabus 2023 has been
released along with the official notification. 72% of the GATE CE syllabus is from the Core
Discipline, 13% from Engineering Mathematics, and 15% from General Aptitude.
Here is the list of topics and sub-topics for each subject that needs to be covered for the
GATE 2023 Civil Engineering exam. Make sure the candidates get to know the following
sections:
? General Aptitude
? Engineering Mathematics
? Structural Engineering
? Geotechnical Engineering
? Water Resources Engineering
? Environmental Engineering
? Transportation Engineering
? Geomatics Engineering
GATE Civil Engineering Subject-Wise Weightage:
2019/2020/2021/2022
A pie-chart is given below that represents subject-wise weightage for the GATE- Civil
engineering exam.
Syllabus for T echnical Subject: Civil Engineering
1. Engineering Mathematics
? Linear Algebra: Matrix algebra; Systems of linear equations; Eigen
values and Eigen vectors.
? Calculus: Functions of single variable; Limit, continuity and
differentiability; Mean value theorems, local maxima and minima;
T aylor series; Evaluation of de?nite and inde?nite integrals,
application of de?nite integral to obtain area and volume; Partial
derivatives; T otal derivative; Gradient, Divergence and Curl, Vector
identities; Directional derivatives; Line, Surface and Volume
integrals.
? Ordinary Differential Equation (ODE): First order (linear and
non-linear) equations; higher order linear equations with constant
coef?cients; Euler-Cauchy equations; initial and boundary value
problems.
? Partial Differential Equation (PDE): Fourier series; separation of
variables; solutions of one- dimensional diffusion equation; ?rst and
second order one-dimensional wave equation and two-dimensional
Laplace equation.
? Probability and Statistics: Sampling theorems; Conditional probability;
Descriptive statistics - Mean, median, mode and standard deviation;
Random Variables – Discrete and Continuous, Poisson and Normal
Distribution; Linear regression.
? Numerical Methods: Error analysis. Numerical solutions of linear and
non-linear algebraic equations; Newton’s and Lagrange polynomials;
numerical differentiation; Integration by trapezoidal and Simpson’s
rule; Single and multi-step methods for ?rst order differential
equations.
2. Structural Engineering
? Engineering Mechanics: System of forces, free-body diagrams,
equilibrium equations; Internal forces in structures; Frictions and its
applications; Centre of mass; Free Vibrations of undamped SDOF
system.
? Solid Mechanics: Bending moment and shear force in statically
determinate beams; Simple stress and strain relationships; Simple
bending theory, ?exural and shear stresses, shear centre; Uniform
torsion, Transformation of stress; buckling of column, combined and
direct bending stresses.
? Structural Analysis: Statically determinate and indeterminate
structures by force/ energy methods; Method of superposition;
Analysis of trusses, arches, beams, cables and frames; Displacement
methods: Slope de?ection and moment distribution methods;
In?uence lines; Stiffness and ?exibility methods of structural
analysis.
? Construction Materials & Management: Construction Materials:
Structural Steel - Composition, material properties and behaviour;
Concrete - Constituents, mix design, short-term and long-term
properties. Construction Management: Types of construction
projects; Project planning and network analysis - PERT and CPM;
Cost estimation.
? Concrete Structures: Working stress and Limit state design
concepts; Design of beams, slabs, columns; Bond and development
length; Prestressed concrete beams.
? Steel Structures: Working stress and Limit state design concepts;
Design of tension and compression members, beams and beam-
columns, column bases; Connections - simple and eccentric,
beam-column connections, plate girders and trusses; Concept of
plastic analysis - beams and frames.
3. Geotechnical Engineering
? Soil Mechanics: Three-phase system and phase relationships, index
properties; Uni?ed and Indian standard soil classi?cation system;
Permeability - one dimensional ?ow, Seepage through soils – two -
dimensional ?ow, ?ow nets, uplift pressure, piping, capillarity,
seepage force; Principle of effective stress and quicksand condition;
Compaction of soils; One- dimensional consolidation, time rate of
consolidation; Shear Strength, Mohr’s circle, effective and total shear
strength parameters, Stress-Strain characteristics of clays and sand;
Stress paths.
? Foundation Engineering: Sub-surface investigations - Drilling bore
holes, sampling, plate load test, standard penetration and cone
penetration tests; Earth pressure theories - Rankine and Coulomb;
Stability of slopes –Finite and in?nite slopes, Bishop’s method; Stress
distribution in soils – Boussinesq’s theory; Pressure bulbs, Shallow
foundations – T erzaghi’s and Meyerhoff’s bearing capacity theories,
effect of water table; Combined footing and raft foundation; Contact
pressure; Settlement analysis in sands and clays; Deep foundations
-dynamic and static formulae, Axial load capacity of piles in sands
and clays, pile loadtest, pile under lateral loading, pile group
ef?ciency, negative skin friction.
4. Water Resources Engineering
? Fluid Mechanics: Properties of ?uids, ?uid statics; Continuity,
momentum and energy equations and their applications; Potential
?ow, Laminar and turbulent ?ow; Flow in pipes, pipe networks;
Concept of boundary layer and its growth; Concept of lift and drag.
? Hydraulics: Forces on immersed bodies; Flow measurement in
channels and pipes; Dimensional analysis and hydraulic similitude;
Channel Hydraulics - Energy-depth relationships, speci?c energy,
critical ?ow, hydraulic jump, uniform ?ow, gradually varied ?ow and
water surface pro?les.
? Hydrology: Hydrologic cycle, precipitation, evaporation,
evapo-transpiration, watershed, in?ltration, unit hydrographs,
hydrograph analysis, reservoir capacity, ?ood estimation and routing,
surface run-off models, ground water hydrology - steady state well
hydraulics and aquifers; Application of Darcy’s Law.
? Irrigation: Types of irrigation systems and methods; Crop water
requirements - Duty, delta, evapo-transpiration; Gravity Dams and
Spillways; Lined and unlined canals, Design of weirs on permeable
foundation; cross drainage structures.
5. Environmental Engineering
? Water and Waste Water Quality and Treatment: Basics of water
quality standards – Physical, chemical and biological parameters;
Water quality index; Unit processes and operations; Water
requirement; Water distribution system; Drinking water treatment.
Sewerage system design, quantity of domestic wastewater, primary
and secondary treatment. Ef?uent discharge standards; Sludge
disposal; Reuse of treated sewage for different applications.
Page 5


Subject-wise weightage for a subject gives an idea about the relative importance of topics
within the subject and helps in planning the preparation. GATE CE Syllabus 2023 has been
released along with the official notification. 72% of the GATE CE syllabus is from the Core
Discipline, 13% from Engineering Mathematics, and 15% from General Aptitude.
Here is the list of topics and sub-topics for each subject that needs to be covered for the
GATE 2023 Civil Engineering exam. Make sure the candidates get to know the following
sections:
? General Aptitude
? Engineering Mathematics
? Structural Engineering
? Geotechnical Engineering
? Water Resources Engineering
? Environmental Engineering
? Transportation Engineering
? Geomatics Engineering
GATE Civil Engineering Subject-Wise Weightage:
2019/2020/2021/2022
A pie-chart is given below that represents subject-wise weightage for the GATE- Civil
engineering exam.
Syllabus for T echnical Subject: Civil Engineering
1. Engineering Mathematics
? Linear Algebra: Matrix algebra; Systems of linear equations; Eigen
values and Eigen vectors.
? Calculus: Functions of single variable; Limit, continuity and
differentiability; Mean value theorems, local maxima and minima;
T aylor series; Evaluation of de?nite and inde?nite integrals,
application of de?nite integral to obtain area and volume; Partial
derivatives; T otal derivative; Gradient, Divergence and Curl, Vector
identities; Directional derivatives; Line, Surface and Volume
integrals.
? Ordinary Differential Equation (ODE): First order (linear and
non-linear) equations; higher order linear equations with constant
coef?cients; Euler-Cauchy equations; initial and boundary value
problems.
? Partial Differential Equation (PDE): Fourier series; separation of
variables; solutions of one- dimensional diffusion equation; ?rst and
second order one-dimensional wave equation and two-dimensional
Laplace equation.
? Probability and Statistics: Sampling theorems; Conditional probability;
Descriptive statistics - Mean, median, mode and standard deviation;
Random Variables – Discrete and Continuous, Poisson and Normal
Distribution; Linear regression.
? Numerical Methods: Error analysis. Numerical solutions of linear and
non-linear algebraic equations; Newton’s and Lagrange polynomials;
numerical differentiation; Integration by trapezoidal and Simpson’s
rule; Single and multi-step methods for ?rst order differential
equations.
2. Structural Engineering
? Engineering Mechanics: System of forces, free-body diagrams,
equilibrium equations; Internal forces in structures; Frictions and its
applications; Centre of mass; Free Vibrations of undamped SDOF
system.
? Solid Mechanics: Bending moment and shear force in statically
determinate beams; Simple stress and strain relationships; Simple
bending theory, ?exural and shear stresses, shear centre; Uniform
torsion, Transformation of stress; buckling of column, combined and
direct bending stresses.
? Structural Analysis: Statically determinate and indeterminate
structures by force/ energy methods; Method of superposition;
Analysis of trusses, arches, beams, cables and frames; Displacement
methods: Slope de?ection and moment distribution methods;
In?uence lines; Stiffness and ?exibility methods of structural
analysis.
? Construction Materials & Management: Construction Materials:
Structural Steel - Composition, material properties and behaviour;
Concrete - Constituents, mix design, short-term and long-term
properties. Construction Management: Types of construction
projects; Project planning and network analysis - PERT and CPM;
Cost estimation.
? Concrete Structures: Working stress and Limit state design
concepts; Design of beams, slabs, columns; Bond and development
length; Prestressed concrete beams.
? Steel Structures: Working stress and Limit state design concepts;
Design of tension and compression members, beams and beam-
columns, column bases; Connections - simple and eccentric,
beam-column connections, plate girders and trusses; Concept of
plastic analysis - beams and frames.
3. Geotechnical Engineering
? Soil Mechanics: Three-phase system and phase relationships, index
properties; Uni?ed and Indian standard soil classi?cation system;
Permeability - one dimensional ?ow, Seepage through soils – two -
dimensional ?ow, ?ow nets, uplift pressure, piping, capillarity,
seepage force; Principle of effective stress and quicksand condition;
Compaction of soils; One- dimensional consolidation, time rate of
consolidation; Shear Strength, Mohr’s circle, effective and total shear
strength parameters, Stress-Strain characteristics of clays and sand;
Stress paths.
? Foundation Engineering: Sub-surface investigations - Drilling bore
holes, sampling, plate load test, standard penetration and cone
penetration tests; Earth pressure theories - Rankine and Coulomb;
Stability of slopes –Finite and in?nite slopes, Bishop’s method; Stress
distribution in soils – Boussinesq’s theory; Pressure bulbs, Shallow
foundations – T erzaghi’s and Meyerhoff’s bearing capacity theories,
effect of water table; Combined footing and raft foundation; Contact
pressure; Settlement analysis in sands and clays; Deep foundations
-dynamic and static formulae, Axial load capacity of piles in sands
and clays, pile loadtest, pile under lateral loading, pile group
ef?ciency, negative skin friction.
4. Water Resources Engineering
? Fluid Mechanics: Properties of ?uids, ?uid statics; Continuity,
momentum and energy equations and their applications; Potential
?ow, Laminar and turbulent ?ow; Flow in pipes, pipe networks;
Concept of boundary layer and its growth; Concept of lift and drag.
? Hydraulics: Forces on immersed bodies; Flow measurement in
channels and pipes; Dimensional analysis and hydraulic similitude;
Channel Hydraulics - Energy-depth relationships, speci?c energy,
critical ?ow, hydraulic jump, uniform ?ow, gradually varied ?ow and
water surface pro?les.
? Hydrology: Hydrologic cycle, precipitation, evaporation,
evapo-transpiration, watershed, in?ltration, unit hydrographs,
hydrograph analysis, reservoir capacity, ?ood estimation and routing,
surface run-off models, ground water hydrology - steady state well
hydraulics and aquifers; Application of Darcy’s Law.
? Irrigation: Types of irrigation systems and methods; Crop water
requirements - Duty, delta, evapo-transpiration; Gravity Dams and
Spillways; Lined and unlined canals, Design of weirs on permeable
foundation; cross drainage structures.
5. Environmental Engineering
? Water and Waste Water Quality and Treatment: Basics of water
quality standards – Physical, chemical and biological parameters;
Water quality index; Unit processes and operations; Water
requirement; Water distribution system; Drinking water treatment.
Sewerage system design, quantity of domestic wastewater, primary
and secondary treatment. Ef?uent discharge standards; Sludge
disposal; Reuse of treated sewage for different applications.
? Air Pollution: Types of pollutants, their sources and impacts, air
pollution control, air quality standards, Air quality Index and limits.
? Municipal Solid Wastes: Characteristics, generation, collection and
transportation of solid wastes, engineered systems for solid waste
management (reuse/ recycle, energy recovery, treatment and
disposal).
6. Transportation Engineering
? Transportation Infrastructure: Geometric design of highways -
cross-sectional elements, sight distances, horizontal and vertical
alignments. Geometric design of railway Track – Speed and Cant.
Concept of airport runway length, calculations and corrections;
taxiway and exit taxiway design.
? Highway Pavements: Highway materials - desirable properties and
tests; Desirable properties of bituminous paving mixes; Design
factors for ?exible and rigid pavements; Design of ?exible and rigid
pavement using IRC codes.
? Traf?c Engineering: Traf?c studies on ?ow and speed, peak hour
factor, accident study, statistical analysis of traf?c data; Microscopic
and macroscopic parameters of traf?c ?ow, fundamental
relationships; Traf?c signs; Signal design by Webster’s method; Types
of intersections; Highway capacity.
7. Geomatics Engineering
? Principles of surveying; Errors and their adjustment.
? Maps - scale, coordinate system; Distance and angle measurement -
Levelling and trigonometric levelling; Traversing and triangulation
survey; T otal station; Horizontal and vertical curves.
? Photogrammetry and Remote Sensing - Scale, ?ying height; Basics of
remote sensing and GIS.
Syllabus for General Aptitude (GA) (Common to all Papers)
1. Verbal Aptitude
? Basic English grammar: tenses, articles, adjectives, prepositions,
conjunctions, verb-noun agreement, and other parts of speech.
? Basic vocabulary: words, idioms, and phrases in context.
? Reading Comprehension
? Narrative Sequencing
2. Quantitative Aptitude
? Data interpretation: data graphs (bar graphs, pie charts, and other
graphs representing data), 2- and 3-dimensional plots, maps, and
tables.
Read More
31 docs|280 tests

Top Courses for Civil Engineering (CE)

FAQs on GATE Civil Engineering Syllabus 2023 with Weightage - GATE Civil Engineering (CE) 2025 Mock Test Series

1. What is the syllabus for GATE Civil Engineering in 2023?
Ans. The syllabus for GATE Civil Engineering in 2023 includes topics such as Engineering Mathematics, Structural Engineering, Geotechnical Engineering, Water Resources Engineering, Environmental Engineering, Transportation Engineering, and Geomatics Engineering. It is advisable to refer to the official GATE website for the detailed syllabus.
2. What is the weightage of the GATE Civil Engineering exam?
Ans. The weightage of the GATE Civil Engineering exam is not officially disclosed. However, the exam follows a pattern where a certain weightage is given to each topic based on its importance. It is recommended to focus on all the topics mentioned in the syllabus and give equal importance to each of them during the exam preparation.
3. How can I prepare for the GATE Civil Engineering exam effectively?
Ans. To prepare effectively for the GATE Civil Engineering exam, it is important to have a thorough understanding of the syllabus and exam pattern. Start by creating a study schedule and allocate sufficient time for each topic. Practice solving previous year question papers and take mock tests to assess your preparation level. Additionally, refer to standard textbooks and study materials to strengthen your conceptual knowledge.
4. Are there any specific books or study materials recommended for GATE Civil Engineering preparation?
Ans. There are several books and study materials available for GATE Civil Engineering preparation. Some popular ones include "GATE Civil Engineering (2023) - Solved Papers" by Made Easy Publications, "GATE Civil Engineering Masterpiece 2023 with 10 Practice Sets" by Arihant Publications, and "Civil Engineering: Through Objective Type Questions" by S.P. Gupta and S.S. Gupta. It is advisable to choose books that cover the entire syllabus and have practice questions for better preparation.
5. What is the importance of solving previous year question papers for the GATE Civil Engineering exam?
Ans. Solving previous year question papers is crucial for GATE Civil Engineering exam preparation. It helps in understanding the exam pattern, time management, and the type of questions asked. By solving these papers, candidates can identify their strengths and weaknesses, and focus on improving areas where they face difficulties. Additionally, it provides a real-time exam experience, which boosts confidence and reduces anxiety during the actual exam.
31 docs|280 tests
Download as PDF
Explore Courses for Civil Engineering (CE) exam

Top Courses for Civil Engineering (CE)

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

practice quizzes

,

mock tests for examination

,

GATE Civil Engineering Syllabus 2023 with Weightage | GATE Civil Engineering (CE) 2025 Mock Test Series

,

study material

,

past year papers

,

GATE Civil Engineering Syllabus 2023 with Weightage | GATE Civil Engineering (CE) 2025 Mock Test Series

,

GATE Civil Engineering Syllabus 2023 with Weightage | GATE Civil Engineering (CE) 2025 Mock Test Series

,

Extra Questions

,

video lectures

,

MCQs

,

Sample Paper

,

Free

,

Exam

,

pdf

,

Important questions

,

shortcuts and tricks

,

Previous Year Questions with Solutions

,

ppt

,

Viva Questions

,

Summary

,

Objective type Questions

,

Semester Notes

;