Your roadmap · आपका रोडमैप
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Admission & first meetingप्रवेश और पहली मुलाकातEnquire at your nearest NDSS centre, meet the teacher, fix the batch time and get your study material.
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Phase 1 — basicsपहला चरण — बुनियादConcepts of every subject from the start.
Engineering Mathematics: Linear Algebra … Ordinary Differential EquationsGeneral Aptitude (GATE): English Grammar … Series, Permutations and CombinationsMechanical Engineering (Technical): Engineering Mechanics … Heat Transfer
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Phase 2 — advanced topicsदूसरा चरण — उन्नत विषयThe remaining topics at exam level.
Engineering Mathematics: Partial Differential Equations … Numerical MethodsGeneral Aptitude (GATE): Mensuration and Geometry … Spatial AptitudeMechanical Engineering (Technical): Fluid Mechanics & Hydraulic Machines … Industrial Engineering & Metrology
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Phase 3 — practice & previous papersतीसरा चरण — अभ्यासTopic tests, previous-year questions and speed practice.
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Phase 4 — mock testsचौथा चरण — मॉक टेस्टFull-length mock tests in the real exam pattern, with analysis.
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GATE Mechanical Engineering examपरीक्षाExam-day plan and document checklist.
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Online tests & resultऑनलाइन टेस्ट और रिज़ल्टTake the tests online; your marks and result show in your student login and at the centre.
सिलेबस · पाठ्यक्रम
3 subjects · 32 chapters · 135 topics
Engineering Mathematics10 chapters · 3 Months
Subject page →+
01Linear Algebra
5 टॉपिक+
- Matrix algebra and determinants
- Rank and systems of linear equations
- Eigenvalues and eigenvectors
- Cayley-Hamilton theorem
- Special matrices
02Single Variable Calculus
5 टॉपिक+
- Limits, continuity and differentiability
- Mean value theorems
- Maxima and minima
- Definite integrals and applications
- Taylor and Maclaurin series
03Multivariable Calculus
4 टॉपिक+
- Partial derivatives
- Euler's theorem for homogeneous functions
- Total derivative and maxima-minima
- Double and triple integrals
04Vector Calculus
4 टॉपिक+
- Gradient, divergence and curl
- Directional derivative
- Line, surface and volume integrals
- Gauss, Stokes and Green's theorems
05Ordinary Differential Equations
5 टॉपिक+
- Order, degree and formation
- First order: variable separable, linear, exact
- Higher order linear ODEs with constant coefficients
- Cauchy-Euler equation
- Initial and boundary value problems
06Partial Differential Equations
4 टॉपिक+
- Classification of second order PDEs
- Method of separation of variables
- One-dimensional heat and wave equations
- Laplace equation
07Complex Variables
4 टॉपिक+
- Analytic functions and Cauchy-Riemann equations
- Cauchy's integral theorem and formula
- Taylor and Laurent series
- Residue theorem
08Laplace and Fourier Transforms
4 टॉपिक+
- Laplace transforms of standard functions
- Properties and inverse Laplace transform
- Solving ODEs with Laplace transform
- Fourier series
09Probability and Statistics
5 टॉपिक+
- Probability axioms and conditional probability, Bayes' theorem
- Random variables, mean and variance
- Binomial, Poisson and normal distributions
- Mean, median, mode and standard deviation
- Correlation and regression
10Numerical Methods
4 टॉपिक+
- Roots of equations: bisection and Newton-Raphson
- Numerical integration: trapezoidal and Simpson's rules
- Numerical solution of ODEs: Euler and Runge-Kutta
- इंटरपोलेशन
General Aptitude (GATE)10 chapters · 2 Months
Subject page →+
01English Grammar
5 टॉपिक+
- Tenses and verb forms
- Articles and determiners
- Subject-verb agreement
- Prepositions and conjunctions
- Sentence correction
02Vocabulary: Words, Idioms and Phrases
4 टॉपिक+
- Synonyms and antonyms
- Words in context and sentence completion
- Idioms and phrases
- Commonly confused words
03Reading Comprehension and Narrative Sequencing
4 टॉपिक+
- Short passages and inference
- Main idea and tone
- Sentence ordering (para jumbles)
- Critical reasoning from passages
04Numerical Computation and Estimation
4 टॉपिक+
- Ratio and proportion
- Percentages
- Powers, exponents and logarithms
- Approximation and estimation
05Series, Permutations and Combinations
4 टॉपिक+
- Number series
- Counting principles
- Permutations including repeated items
- Combinations
06Mensuration and Geometry
4 टॉपिक+
- Area and perimeter of plane figures
- Surface area and volume of solids
- Triangles and circles
- Cube cutting problems
07Elementary Statistics and Probability
4 टॉपिक+
- Mean, median and mode
- Standard deviation and variance
- Basic probability and addition rule
- Conditional probability (simple)
08Data Interpretation
4 टॉपिक+
- Tables
- Bar graphs and line graphs
- Pie charts
- Percentage change and growth
09Analytical Aptitude
4 टॉपिक+
- Deduction and induction
- Analogy
- Numerical relations and reasoning
- Ordering and ranking
10Spatial Aptitude
4 टॉपिक+
- Translation, rotation and scaling of shapes
- Mirror images and clocks
- Paper folding and cutting
- Dice and patterns in 2-D and 3-D
Mechanical Engineering (Technical)12 chapters · 6 Months
Subject page →+
01Engineering Mechanics
4 टॉपिक+
- Force systems and moments
- Equilibrium and Lami's theorem
- Friction
- Kinematics and kinetics
02Strength of Materials
4 टॉपिक+
- Stress, strain and elastic constants
- Thin cylinders
- Bending and torsion
- Columns and Euler's theory
03Thermodynamics
4 टॉपिक+
- Laws of thermodynamics
- Thermodynamic processes
- Carnot cycle and heat engines
- Entropy
04IC Engines
4 टॉपिक+
- Otto, Diesel and dual cycles
- Two and four stroke engines
- Combustion and knocking
- Engine performance
05Refrigeration & Air Conditioning
4 टॉपिक+
- Vapour compression cycle
- COP and ton of refrigeration
- Refrigerants
- Psychrometry basics
06हीट ट्रांसफ़र
5 टॉपिक+
- Conduction - Fourier's law
- Thermal resistance
- Convection
- Radiation - Stefan-Boltzmann law
- Heat exchangers
07Fluid Mechanics & Hydraulic Machines
4 टॉपिक+
- Fluid properties and pressure
- Bernoulli's equation and flow measurement
- Turbines - Pelton, Francis, Kaplan
- Pumps
08Theory of Machines
4 टॉपिक+
- Kinematic pairs and mechanisms
- Instantaneous centres
- Gears and gear trains
- Flywheel and governors
09Machine Design
4 टॉपिक+
- Factor of safety
- Theories of failure
- Fatigue and endurance limit
- Design of shafts, keys and joints
10Engineering Materials
4 टॉपिक+
- Ferrous and non-ferrous materials
- Iron-carbon diagram
- Heat treatment
- Mechanical properties
11Manufacturing Processes
5 टॉपिक+
- Casting
- Welding
- Metal forming
- Machining and tool life
- Non-traditional machining
12Industrial Engineering & Metrology
4 टॉपिक+
- Inventory control and EOQ
- PERT and CPM
- Measuring instruments and least count
- Limits, fits and tolerances
About this course
आप यह कर पाएँगे
- Complete Engineering Mathematics syllabus with regular tests
- Complete General Aptitude (GATE) syllabus with regular tests
- Complete Mechanical Engineering (Technical) syllabus with regular tests
यह किसके लिए है
- GATE Civil, Mechanical and Electrical Engineering aspirants
- B.Tech / B.E. students (2nd year onwards)
- Aspirants of ESE and PSU recruitment through GATE
आपको क्या चाहिए
- B.Tech / B.E. (pursuing or completed)
- Class 12 mathematics
- A virtual-calculator style scientific calculator for practice
Online tests & result
Practice and unit tests online; marks and result show in your student login and at the centre.
Student login →
सवाल
How many marks does Engineering Mathematics carry in GATE?
About 13 of the 100 marks in most engineering papers, along with 15 marks of General Aptitude.
Is the syllabus the same for CE, ME and EE?
The core (linear algebra, calculus, ODE, probability, numerical methods) is common; complex variables and transforms are stressed more for EE and ME.
Do you practise NAT (numerical answer) questions?
Yes. Many problems are solved as numerical-answer type, the way GATE asks them.
Is the virtual calculator used?
Yes. Learners practise with the GATE-style on-screen virtual calculator.
How many marks does General Aptitude carry in GATE?
15 marks: 5 one-mark and 5 two-mark questions, common to all GATE papers.
Is spatial aptitude really asked?
Yes. The current GATE GA syllabus includes spatial aptitude (rotation, mirroring, folding), so it is practised here.
Is this useful for placements?
Yes. The same verbal and quantitative skills are tested in campus placements and PSU exams.
Is there negative marking?
For MCQs, yes: 1/3 mark for one-mark and 2/3 mark for two-mark questions; NAT and MSQ have no negative marks.
