Karka

Course

GATE Engineering Maths + General Aptitude

The ~28 marks nearly every GATE paper shares — Engineering Maths and General Aptitude, mastered in one free course.

Professional electiveAdvancedMathematicsCertificate
6 modules 28 lessons 15 enrolled ~16h of material

First three lessons free. Full access with Karka Pass from ₹49 for 7 days (7 days ₹49 · 30 days ₹199 · 1 year ₹1,999).

GATE Engineering Maths + General Aptitude

By the end

What you'll build

  • Solve GATE-style linear algebra questions — determinants, rank, systems and eigenvalues — using trace/determinant shortcuts, and verify them with NumPy
  • Evaluate limits, maxima-minima, definite integrals and first/second-order ODEs at exam speed
  • Apply probability rules, Bayes' theorem and the standard distributions (binomial, Poisson, normal, uniform, exponential) to numerical-answer questions
  • Execute bisection, Newton-Raphson, trapezoidal, Simpson's and Euler iterations by hand, the exact skill GATE's NAT format rewards
  • Bank the 15 General Aptitude marks with quant, logic and verbal technique, and manage a full 65-question, 180-minute paper with negative-marking discipline

Curriculum

What's inside

6 modules · 28 lessons

  1. 01

    Linear Algebra

    6 lessons
    • Start Here: The 28 Marks Every GATE Paper Shares
    • Matrices, Determinants and Rank
    • Lab: Solving Ax = b with NumPypython lab
    • Eigenvalues and Eigenvectors
    • Lab: Eigenvalues with NumPypython lab
    • + 1 more lesson
  2. 02

    Calculus & Differential Equations

    4 lessons
    • Limits, Continuity and Maxima–Minima
    • Integration Essentials for GATE
    • Differential Equations Without Fear
    • Calculus & ODE NAT Drillfill blank
  3. 03

    Probability & Statistics

    5 lessons
    • Probability Foundations
    • Evidence Check: Probabilityquiz
    • Random Variables and Distributions
    • Lab: Describing a Distribution with NumPypython lab
    • Probability & Statistics NAT Drillfill blank
  4. 04

    Numerical Methods

    4 lessons
    • Root Finding: Bisection and Newton–Raphson
    • Numerical Integration and Euler's Method
    • Numerical Methods NAT Drillfill blank
    • Numerical Methods Quizquiz
  5. 05

    General Aptitude: Quant & Logic

    4 lessons
    • GA Quant: The 15 Guaranteed Marks
    • Logic, Sequences and Verbal Reasoning
    • Sectional Practice on Prashna
    • Evidence Check: GA Quantquiz
  6. 06

    NAT-Format Drill Camp

    5 lessons
    • NAT Strategy: The Format With No Negative Marking
    • Timed Mini-Mock: Maths + GA (30 minutes)quiz
    • NAT Mega Drill: Full Syllabus Mixfill blank
    • Capstone: Your Full GATE Mock
    • Evidence Check: Capstonequiz

The shape of it

How this course works

Short lessons

28 lessons across 6 modules, each small enough to finish in one sitting.

Practice as you go

Every lesson ends with a small space for what you noticed — the doing is the learning.

A certificate at the end

Finish the course and earn a certificate anyone can verify with a link.

Ready when you are.

Make an account and this course opens up — your progress is saved from the very first lesson.