GATE Civil Engineering Online Coaching

Linear Algebra

• Systems Of Linear Equations
• Matrix Algebra
• Eigenvalues And EigenVectors

Calculus:

• Evaluation Of Definite And Indefinite Integrals, Application Of Definite Integral To Obtain Area And Volume
• Limit, Continuity, And Differentiability
• Gradient, Divergence And Curl, Vector Identities
• Taylor Series
• Functions Of Single Variable
• Mean Value Theorems, Local Maxima And Minima
• Partial Derivatives
• Total Derivative
• Line, Surface And Volume Integrals
• Directional Derivatives

Ordinary Differential Equation (ODE): 

• Initial And Boundary Value Problems
• Euler-cauchy Equations
• Higher Order Linear Equations With Constant Coefficients

• First Order (Linear And Nonlinear) Equations

Partial Differential Equation (PDE): 

• First And Second Order One-dimensional Wave Equation And Two Dimensional Laplace Equation
• Fourier Series
• Separation Of Variables
• Solutions Of One-Dimensional Diffusion Equation

Probability and Statistics: 

• Linear Regression
• Sampling Theorems
• Descriptive statistics – Mean, median, mode, and standard deviation
• Random Variables – Discrete and Continuous, Poisson and Normal Distribution
• Conditional Probability

Numerical Methods: 

• Single And Multi-step Methods For First Order Differential Equations
• Newton’s And Lagrange Polynomials
• Numerical Solutions Of Linear And Non-linear Algebraic Equation
• Error Analysis
• Integration By Trapezoidal And Simpson’s Rule
• Numerical Differentiation

Engineering Mechanics:

• Free Vibrations Of Undamped SDOF System
• Internal Forces In Structures
• System of forces, free-body diagrams, equilibrium equations
• Centre Of Mass
• Frictions And Its Applications

Solid Mechanics:

• Simple Bending Theory, Flexural And Shear Stresses, Shear Centre
• Simple Stress And Strain Relationships
• Buckling Of Column, Combined And Direct Bending Stresses
• Uniform Torsion, Transformation Of Stress
• Bending Moment And Shear Force In Statically Determinate Beams

Structural Analysis:

• Method Of Superposition
• Statically Determinate And Indeterminate Structures By Force/ Energy Methods
• Analysis of trusses, arches, beams, cables and frames
• Influence Lines
• Displacement Methods: Slope Deflection and Moment Distribution Methods
• Stiffness And Flexibility Methods Of Structural Analysis

Construction Materials and Management: 

• Construction Materials: Structural Steel – Composition, Material Properties And Behaviour
• Construction Management: Types of construction projects
• Concrete – Constituents, Mix Design, Short-Term And Long-Term Properties

• Project Planning And Network Analysis – PERT and CPM
• Cost Estimation

Concrete Structures:

• Bond and Development Length
• Working Stress and Limit State Design Concepts
• Prestressed Concrete Beams
• Design Of Beams, Slabs, Columns

Steel Structures: 

• Connections – Simple And Eccentric, Beam-Column Connections, Plate Girders and Trusses
• Design Of Tension and Compression Members, Beams and Beam- Columns, Column Bases
• Working Stress And Limit State Design Concepts
• Concept Of Plastic Analysis -Beams And Frames

Soil Mechanics:

• Principle Of Effective Stress And Quicksand Condition
• Shear Strength, Mohr’s Circle, Effective And Total Shear Strength Parameters, Stress-Strain Characteristics Of Clays And Sand
• Unified and Indian Standard Soil Classification System
• Three-Phase System And Phase Relationships, Index Properties
• Compaction Of Soils
• One- Dimensional Consolidation, Time Rate Of Consolidation
• Permeability – One Dimensional Flow, Seepage Through Soils – Two – Dimensional Flow, Flow Nets, Uplift Pressure, Piping, Capillarity, Seepage Force
• Stress Paths

Foundation Engineering:

• Deep Foundations – Dynamic And Static Formulae, Axial Load Capacity Of Piles In Sands And Clays, Pile Load Test, Pile Under Lateral Loading, Pile Group Efficiency, Negative Skin Friction
• Sub-Surface Investigations – Drilling Bore Holes, Sampling, Plate Load Test, Standard Penetration And Cone Penetration Tests
• Combined Footing And Raft Foundation
• Contact Pressure
• Pressure Bulbs, Shallow Foundations – Terzaghi’s And Meyerhoff’s Bearing Capacity Theories, Effect Of Water Table
• Stress Distribution In Soils – Boussinesq’s Theory
• Earth Pressure Theories – Rankine And Coulomb; Stability Of Slopes – Finite And Infinite Slopes, Bishop’s Method
• Settlement Analysis In Sands And Clays

Fluid Mechanics: 

• Concept Of Boundary Layer and Its Growth
• Continuity, Momentum And Energy Equations And Their Applications
• Flow In Pipes, Pipe Networks
• Properties Of Fluids, Fluid Statics
• Potential Flow, Laminar And Turbulent Flow
• Concept Of Lift And Drag

Hydraulics:

• Dimensional analysis and hydraulic similitude
• Forces on immersed bodies
• Channel Hydraulics – Energy-depth relationships, specific energy, critical flow, hydraulic jump, uniform flow, gradually varied flow and water surface profiles
• Flow measurement in channels and pipes

Hydrology:

• Application of Darcy’s Law
• Hydrologic cycle, precipitation, evaporation, evapo-transpiration, watershed, infiltration, unit hydrographs, hydrograph analysis, reservoir capacity, flood estimation and routing, surface runoff models, ground water hydrology – steady state well hydraulics and aquifers

Irrigation:

• Cross Drainage Structures
• Gravity Dams and Spillways
• Types Of Irrigation Systems and Methods
• Lined And Unlined Canals, Design Of Weirs On Permeable Foundation
• Crop Water Requirements – Duty, Delta, Evapotranspiration

Water and Waste Water Quality & Treatment:

• Basics of water quality standards – Physical, chemical and biological parameters
• Water Quality Index
• Drinking Water Treatment
• Sewerage System Design, Quantity Of Domestic Wastewater, Primary Treatment and Secondary Treatment
• Unit Processes And Operations
• Water Requirement
• Effluent Discharge Standards
• Sludge Disposal
• Reuse Of Treated Sewage For Different Applications
• Water Distribution System

Air Pollution:

• Types Of Pollutants, Their Sources And Impacts
• Air Quality Index And Limits
• Air Quality Standards
• Air Pollution Control

Municipal Solid Wastes: 

• Engineered Systems For Solid Waste Management (Reuse/ Recycle, Energy Recovery, Treatment And Disposal)
• Characteristics, Generation, Collection and Transportation Of Solid Wastes

Transportation Infrastructure: 

• Geometric Design Of Railway Track – Speed and Cant
• Geometric Design Of Highways – Cross-Sectional Elements, Sight Distances, Horizontal And Vertical Alignments
• Taxiway and Exit Taxiway Design
• Concept Of Airport Runway Length, Calculations and Corrections

Highway Pavements:

• Design Factors For Flexible And Rigid Pavements
• Desirable Properties Of Bituminous Paving Mixes
• Highway Materials – Desirable Properties And Tests
• Design Of Flexible And Rigid Pavement Using IRC Codes

Traffic Engineering:

• Traffic Studies On Flow And Speed, Peak Hour Factor, Accident Study, Statistical Analysis Of Traffic Data
• Highway Capacity
• Traffic Signs
• Types Of Intersections
• Microscopic And Macroscopic Parameters Of Traffic Flow, Fundamental Relationships
• Signal Design By Webster’s Method

• Basics Of Remote Sensing And GIS
• Errors And Their Adjustment
• Principles Of Surveying
• Traversing And Triangulation Survey
• Total Station
• Photogrammetry And Remote Sensing – Scale, Flying Height
• Horizontal And Vertical Curves
• Distance And Angle Measurement – Leveling And Trigonometric Leveling
• Maps – Scale, Coordinate System