GATE ECE 2027 Syllabus: Every Subject and Topic

Linear Algebra Coming soon

Covers: Vector Spaces and Basis · Matrix Algebra and Rank · Systems of Linear Equations · Eigenvalues and Eigenvectors

Calculus Coming soon

Covers: Mean Value Theorems and Taylor Series · Definite and Improper Integrals · Partial Derivatives, Maxima and Minima · Multiple Integrals · Line, Surface and Volume Integrals · Numerical Methods

Differential Equations Coming soon

Covers: First Order Differential Equations · Higher Order Linear Differential Equations · Partial Differential Equations

Vector Analysis Coming soon

Covers: Gradient, Divergence and Curl · Gauss's, Green's and Stokes' Theorems

Complex Analysis Coming soon

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

Probability and Statistics Coming soon

Covers: Mean, Median, Mode and Standard Deviation · Combinatorial Probability · Joint and Conditional Probability · Uniform, Normal, Exponential, Poisson and Binomial Distributions · Correlation and Regression

Basics of Network Analysis Coming soon

Covers: KCL, KVL and Sources · Node and Mesh Analysis · Star-Delta Transformation

Graph Theory and State Equations Coming soon

Network Functions Coming soon

Network Theorems Coming soon

Sinusoidal Steady State Coming soon

Covers: Sinusoidal Steady State, Phasors and Complex Power · Resonance

Transient Analysis Coming soon

Covers: Transient Analysis of RL, RC and RLC Circuits · Laplace Transform in Circuit Analysis

Two Port Networks Coming soon

Basic Semiconductor Physics Coming soon

Covers: Energy Bands in Intrinsic and Extrinsic Semiconductors · Equilibrium Carrier Concentration · Direct and Indirect Band-Gap Semiconductors · Drift and Diffusion Current, Mobility and Resistivity · Generation and Recombination of Carriers · Poisson and Continuity Equations

PN-Junction Diodes and Special Diodes Coming soon

Covers: P-N Junction · Zener Diode · LED, Photodiode and Solar Cell

BJT and FET Basics Coming soon

Covers: BJT · MOS Capacitor · MOSFET · MOSFET Scaling

IC Fabrication Coming soon

Diodes Applications Coming soon

BJT Analysis Coming soon

Covers: BJT Amplifiers · Biasing and AC Coupling

FET and MOSFET Analysis Coming soon

Covers: MOSFET Amplifiers · Current Mirrors · Differential Amplifiers

Frequency Response of Amplifier Coming soon

Feedback Amplifiers Coming soon

Operational Amplifiers Coming soon

Covers: Op-Amp Amplifiers and Summers · Differentiators and Integrators · Active Filters · Dominant-Pole Compensation and Phase Margin

Oscillator Circuits Coming soon

Multivibrators and 555 Timer Coming soon

Covers: Schmitt Triggers · Multivibrators and 555 Timer

Number Systems Coming soon

Boolean Algebra Coming soon

Covers: Boolean Algebra · Karnaugh Map Minimization

Logic Gates Coming soon

Logic Families Coming soon

Combinational Circuits Coming soon

Covers: Arithmetic Circuits · Code Converters · Multiplexers · Decoders

Sequential Circuits Coming soon

Covers: Latches and Flip-Flops · Counters · Shift Registers · Propagation Delay, Setup and Hold Time

Memories Coming soon

ADC and DAC Coming soon

Covers: Sample and Hold Circuits · ADCs and DACs

Finite State Machine Coming soon

Computer Organization Coming soon

Covers: Machine Instructions and Addressing Modes · ALU, Data Path and Control Unit · Instruction Pipelining

Basics of Signals and Systems Coming soon

Covers: Introduction to Signals · LTI Systems: Causality and Stability

LTI Systems Continuous and Discrete Coming soon

Covers: Impulse Response and Convolution · Poles and Zeros

Fourier Series Coming soon

Fourier Transforms, Frequency Response and Correlation Coming soon

Covers: Fourier Transform · Frequency Response, Group Delay and Phase Delay

Sampling Coming soon

DTFS, DTFT and DFT Coming soon

Z-Transform Coming soon

Laplace Transform Coming soon

Digital Filters Coming soon

Covers: FIR and IIR Filter Design · Discrete-Time Processing of Continuous-Time Signals

Basics of Control Systems, Block Diagram and SFGs Coming soon

Covers: Control System Components and Feedback Principle · Transfer Function · Block Diagram Representation · Signal Flow Graph

Time Response Analysis Coming soon

Stability Analysis Coming soon

Covers: Routh-Hurwitz Stability Criterion · Nyquist Stability Criterion

Root Locus Coming soon

Frequency Response Analysis Coming soon

Covers: Frequency Response · Bode Plot

Compensators and Controllers Coming soon

Covers: Lag, Lead and Lag-Lead Compensation · PID Controller

State Space Analysis Coming soon

Analog Communication Systems Coming soon

Covers: Amplitude Modulation and Demodulation · Angle Modulation and Demodulation · Spectra of AM and FM · Superheterodyne Receivers

Digital Communication Systems Coming soon

Covers: PCM and DPCM · Digital Modulation Schemes (ASK, PSK, FSK, QAM) · Bandwidth and Inter-Symbol Interference · MAP and ML Detection · Matched Filter Receiver · SNR and BER

Random Signals and Noise Coming soon

Covers: Autocorrelation and Power Spectral Density · Properties of White Noise · Filtering of Random Signals Through LTI Systems

Information Theory and Coding Coming soon

Covers: Entropy, Source Coding and Mutual Information · Channel Capacity Theorem · Hamming Codes and CRC

Basics of Electromagnetics Coming soon

Covers: Maxwell's Equations · Boundary Conditions · Wave Equation and Poynting Vector

Uniform Plane Waves Coming soon

Covers: Plane Waves and Propagation Through Media · Reflection and Refraction · Polarization · Phase and Group Velocity · Skin Depth

Transmission Lines Coming soon

Covers: Transmission Line Equations and Characteristic Impedance · Impedance Matching and Transformation · S-Parameters · Smith Chart

Waveguides Coming soon

Optical Fibers and Antennas Coming soon

Covers: Light Propagation in Optical Fibers · Dipole and Monopole Antennas · Linear Antenna Arrays

Basics of 8085 Microprocessor Coming soon

Instructions of 8085 Microprocessor Coming soon

Microprocessor 8085 Programming Coming soon

Microprocessor 8085 Interrupts Coming soon

Interfacing and Peripheral Devices 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