GATE EE 2027 Syllabus: Every Subject and Topic

Linear Algebra Coming soon

Covers: Matrix Algebra · Systems of Linear Equations · Eigenvalues and Eigenvectors

Calculus Coming soon

Covers: Mean Value Theorems · Definite and Improper Integrals · Partial Derivatives, Maxima and Minima · Multiple Integrals · Fourier Series · Vector Identities and Directional Derivatives · Line, Surface and Volume Integrals · Gauss, Stokes and Green's Theorems · Numerical Methods

Differential Equations Coming soon

Covers: First Order Differential Equations · Higher Order Linear Differential Equations · Cauchy's and Euler's Equations · Partial Differential Equations

Complex Variables Coming soon

Covers: Analytic Functions · Cauchy's Integral Theorem and Formula · Taylor and Laurent Series · Residue Theorem

Probability and Statistics Coming soon

Covers: Sampling Theorems and Conditional Probability · Mean, Median, Mode and Standard Deviation · Random Variables and Distributions · Correlation and Regression

Basics of Electric Circuit Coming soon

Covers: Network Elements and Sources · KCL, KVL, Node and Mesh Analysis

Magnetically Coupled Circuits, Network Topology and Filters Coming soon

Network Theorems Coming soon

Resonance and Locus Diagrams Coming soon

Covers: Resonance · Locus Diagrams

Steady State AC Analysis Coming soon

Covers: Sinusoidal Steady-State Analysis · Complex Power and Power Factor

Three-Phase Circuits Coming soon

Covers: Balanced Three-Phase Circuits · Star-Delta Transformation

Transients and Steady State Response Coming soon

Two Port Network and Network Functions Coming soon

Covers: Two-Port Networks · Network Functions

Coordinate Systems and Vector Calculus Coming soon

Electrostatic Fields Coming soon

Covers: Coulomb's Law and Electric Field Intensity · Electric Flux Density and Gauss's Law · Electric Field and Potential of Charge Distributions · Dielectrics and Capacitance

Magnetostatic Fields Coming soon

Covers: Biot-Savart's Law · Ampere's Law · Magnetic Circuits (MMF and Reluctance) · Self and Mutual Inductance

Time Varying Fields Coming soon

Covers: Faraday's Law and Lorentz Force · Maxwell's Equations and Displacement Current

Introduction of C.T. and D.T. Signals Coming soon

Covers: Continuous and Discrete-Time Signals · Shifting and Scaling

Linear Time Invariant Systems Coming soon

Fourier Series Coming soon

Covers: Fourier Series of Periodic Signals · RMS and Average Values

Fourier Transform Coming soon

Sampling Coming soon

Laplace Transform Coming soon

Z-Transform Coming soon

DC Machines Coming soon

Covers: DC Machines: Characteristics · Speed Control of DC Motors

Transformers Coming soon

Covers: Single-Phase Transformers · Three-Phase Transformers · Auto-Transformers · Losses and Efficiency

Three Phase Induction Machines Coming soon

Covers: Three-Phase Induction Machines: Performance and Torque-Speed · No-Load and Blocked-Rotor Tests and Equivalent Circuit · Starting and Speed Control of Induction Motors

Synchronous Machines Coming soon

Covers: Cylindrical and Salient Pole Synchronous Machines · Regulation and Parallel Operation of Generators · Starting of Synchronous Motors

Single Phase Induction Motors, Special Purpose Machines and Electromechanical Energy Conversion System Coming soon

Covers: Single-Phase Induction Motors · Special Purpose Machines · Electromechanical Energy Conversion

Generating Power Stations Coming soon

Per Unit System Coming soon

Performance of Transmission Lines, Line Parameters and Corona Coming soon

Covers: Transmission Lines and Cables · Corona

Distribution Systems, Cables and Insulators Coming soon

Covers: Distribution Systems · Insulators and Electric Field Distribution

High Voltage DC Transmission Coming soon

Compensation Techniques and Voltage Profile Control Coming soon

Covers: Series and Shunt Compensation · Voltage and Frequency Control · Power Factor Correction

Economic Power Generation and Load Dispatch Coming soon

Load Flow Studies Coming soon

Covers: Bus Admittance Matrix · Load Flow (Gauss-Seidel and Newton-Raphson)

Fault Analysis Coming soon

Covers: Symmetrical Components · Symmetrical Fault Analysis · Unsymmetrical Fault Analysis

Switch Gear and Protection Coming soon

Covers: Protection Schemes · Circuit Breakers

Power System Stability Coming soon

Power System Transients Coming soon

Mathematical Models of Physical Systems Coming soon

Covers: Transfer Function · Block Diagrams and Signal Flow Graphs

Feedback Characteristics of Control Systems Coming soon

Time Response Analysis Coming soon

Concepts of Stability Coming soon

Covers: Routh-Hurwitz Criterion · Nyquist Criterion

Root Locus Techniques Coming soon

Frequency Response Analysis Coming soon

Design of Control Systems Coming soon

Covers: Lag, Lead and Lead-Lag Compensators · P, PI and PID Controllers

State Variable Analysis Coming soon

Characteristics of Instruments and Measurement Systems Coming soon

Galvanometers, Voltmeters and Ammeters Coming soon

Measurement of Resistance and Potentiometers Coming soon

A.C. Bridges Coming soon

Instrument Transformers Coming soon

Measurement of Energy and Power Coming soon

CRO and Electronic Measurements Coming soon

Covers: Digital Voltmeters and Multimeters · Phase, Time and Frequency Measurement · Oscilloscopes

Diodes and their Applications Coming soon

BJT, FET and their Biasing Circuits Coming soon

Small Signal Analysis Coming soon

Oscillators and Feedback Amplifiers Coming soon

Covers: Oscillators · Feedback Amplifiers

Operational Amplifiers Coming soon

Covers: Op-Amp Characteristics and Applications · Active Filters (Sallen-Key, Butterworth)

Timers and VCOs Coming soon

Boolean Algebra and Minimization Coming soon

Covers: Number Systems · Boolean Algebra and Karnaugh Map Minimization

Logic Gates Coming soon

Combinational Logic Circuits Coming soon

Covers: Combinational Logic Circuits · Multiplexers and Demultiplexers

Sequential Logic Circuits Coming soon

Logic Families Coming soon

Covers: Logic Families · Schmitt Triggers

A-D and D-A Converters Coming soon

Covers: Sample and Hold Circuits · A/D and D/A Converters

Microprocessors Coming soon

Power Semiconductor Devices and Commutation Techniques Coming soon

Covers: Power Devices: Thyristor, MOSFET and IGBT · Firing and Gating Circuits

Phase Controlled Rectifiers Coming soon

Covers: Uncontrolled Rectifiers · Thyristor-Based Converters · Bidirectional AC-DC Voltage Source Converters · Line Current Harmonics, Power Factor and Distortion Factor

Choppers Coming soon

Inverters Coming soon

Covers: Voltage and Current Source Inverters · Sinusoidal Pulse Width Modulation

Electrical Drives Coming soon

Verbal Aptitude Coming soon

Covers: 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 and comprehension, Narrative sequencing

Quantitative Aptitude Coming soon

Covers: Data interpretation: data graphs (bar graphs, pie charts, and other graphs representing data), 2- and 3-dimensional plots, maps, and tables · Numerical computation and estimation: ratios, percentages, powers, exponents and logarithms, permutations and combinations, and series. Mensuration and geometry, Elementary statistics and probability

Analytical Aptitude Coming soon

Covers: Logic: deduction and induction, Analogy, Numerical relations and reasoning

Spatial Aptitude Coming soon

Covers: Transformation of shapes: translation, rotation, scaling, mirroring, assembling, and grouping; paper folding, cutting, and patterns in 2 and 3 dimensions