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Full Revision — All Topics in One Shot

Watch these 4 videos to revise the entire Engineering Mathematics syllabus before the exam

Complete Mathematics Revision Watch Before Exam

These videos cover the entire Engineering Mathematics syllabus in a single session each. Perfect for quick revision in the last few days before BITS HD.

Full Revision Videos
Engineering Mathematics: Calculus Crash Course in 8 Hours+
Complete Calculus revision in one video
All Concepts & Formula Revision-GATE | Engineering Maths-1 | All Branches | Priyanka Sharma Ma'am
All Concepts & Formulas Revision Part 1
All Concepts & Formula Revision-GATE | Engineering Maths-2 | All Branches | Priyanka Sharma Ma'am
All Concepts & Formulas Revision Part 2
All Concepts & Formula Revision-GATE | Engineering Maths-3 | All Branches | Priyanka Sharma Ma'am
All Concepts & Formulas Revision Part 3

Preparation Strategy

Follow this order for maximum efficiency. Start with high-weightage topics that appear every year.

Golden Rule: Complex Variables and Probability appear EVERY year in BITS HD. Linear Algebra is the third most frequent. Master these three first before moving to Calculus, Differential Equations, and Numerical Methods.
Important Note: These Core Mathematics topics are from Engineering Mathematics, which is common across ALL GATE branches (CS, EC, EE, ME, CE, etc.). Please solve GATE PYQs from all branches, not just CS. The concepts and difficulty levels are similar — a Calculus or Linear Algebra question from GATE ME or EC is just as relevant for BITS HD preparation.
01

Phase 1: High Yield

Complex Variables + Probability & Statistics

These two topics alone account for 4–6 questions out of 15 every year. Start here for maximum ROI.

02

Phase 2: Core Foundation

Linear Algebra + Calculus

Matrix operations, eigenvalues, and multivariable calculus are heavily tested. Build strong fundamentals.

03

Phase 3: Applied Math

Differential Equations

Laplace transforms, Fourier series, and PDEs with separation of variables. Focus on solving techniques.

04

Phase 4: Numerical

Numerical Methods

Newton’s method, LU decomposition, Trapezoidal & Simpson’s rules. Practice hand calculations.

Time Allocation: Test I has 30 questions (15 Math + 15 English/LR) in 45 minutes — that’s 1.5 min/question. Core Mathematics questions are conceptual — focus on understanding, not speed. Practice PYQs from GATE and BITS HD to get familiar with question patterns.

01 Calculus

Single Variable, Multivariable & Vector Calculus — The most extensive topic in Core Mathematics

Calculus High Weightage

Covers everything from limits and continuity to vector calculus theorems. This is the broadest topic — break it into manageable parts.

Functions & Graphs Limits & Continuity Applications of Derivatives Applications of Definite Integrals Convergence of Series Infinite Series Maclaurin & Taylor Series Functions of Several Variables Limits & Continuity in Higher Dimensions Partial Derivatives Chain Rule Directional Derivatives Gradient Vectors Tangent Planes & Normal Lines Extreme Values & Saddle Points Double Integrals Triple Integrals Line & Surface Integrals Conservative Fields Curl & Divergence Green’s Theorem Gauss’s Theorem Stokes’ Theorem
Recommended Resources
GATE Exam Made easy with Calculus -Part1 #gate
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GATE Exam Made easy with Calculus PART-2 INTEGRAL CALCULUS #gate #engineeringmathematics
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GATE Exam Made easy with Calculus part-3 Vector Calculus #gate #engineering
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Engineering Mathematics | All Branches | GATE 2025 Series
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Complete Calculus - Mega Marathon | Engineering Maths GATE 2026 | All Branches | Priyanka Ma'am
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Complete Vector Calculus - Marathon | Engineering Maths GATE 2026 | All Branches | Priyanka Ma'am
YouTube

02 Linear Algebra

Matrix operations, vector spaces, eigenvalues & linear transformations

Linear Algebra High Weightage

Matrix operations and vector spaces form the backbone of engineering mathematics. Eigenvalue problems appear frequently in BITS HD.

Matrix Algebra Row Reduction Rank & Inverse Systems of Linear Equations Vector Spaces Basis & Dimension Linear Transformations Range & Kernel Eigenvalues & Eigenvectors
Recommended Resources
Complete Linear Algebra Revision-1 | Engineering Maths GATE 2026 | All Branches | Priyanka Ma'am
YouTube
Complete Linear Algebra Revision-2 | Engineering Maths GATE 2026 | All Branches | Priyanka Ma'am
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Complete Linear Algebra in one class | Engineering mathematics | #gate
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1a. Why Study Linear Algebra | The Importance of Linear Algebra in Machine Learning | Sachin Mittal
YouTube

03 Complex Variables

Appears EVERY year in BITS HD — High priority topic with guaranteed questions

Complex Variables Must Do — Every Year

Complex analysis is one of the most frequently tested topics. Cauchy’s theorems and residue calculus are BITS HD favorites.

Analytic Functions Cauchy’s Theorems Cauchy’s Integral Formula Taylor Series Laurent Series Calculus of Residues Applications of Residues
Recommended Resources
Complete Complex Variables-Marathon Engineering Maths GATE 2026 | All Branches | Priyanka Ma'am
YouTube
GATE 2025 :Complex Variables | One Shot Important Session | With GC Sir
YouTube

04 Probability & Statistics

Appears EVERY year — Poisson, Bayes, Distributions & Hypothesis Testing

Probability & Statistics Must Do — Every Year

Probability and statistics is the most consistently tested topic in BITS HD Core Mathematics. Distributions and Bayes’ theorem are perennial favorites.

Sample Space & Events Conditional Probability Independence Random Variables Probability Distributions Mathematical Expectation Mean & Variance Geometric Distribution Binomial Distribution Poisson Distribution Exponential Distribution Gamma Distribution Normal Distribution Central Limit Theorem Marginal & Conditional Sampling Distribution Point Estimation Hypothesis Testing t-Distribution Correlation & Regression
Recommended Resources
Complete Probability-Module 1 Marathon Engineering Maths GATE 2026 | All Branches | Priyanka Ma'am
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Complete Probability-Module 2 Marathon Engineering Maths GATE 2026 | All Branches | Priyanka Ma'am
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GATE R-PYQ Engineering Mathematics Probability & Statistics || ONE SHOT || PrepFusion
YouTube

05 Differential Equations

ODEs, PDEs, Laplace Transforms & Fourier Series

Differential Equations High Weightage

Differential equations cover both ordinary and partial DEs. Laplace transforms and Fourier series are the most scoring subtopics.

First Order ODEs Higher Order Linear ODEs Constant Coefficients Variation of Parameters Cauchy-Euler Equation Fourier Series Laplace Transform Initial & Boundary Value Problems Partial Differential Equations Separation of Variables
Recommended Resources
Engineering Mathematics 09 : Differential Equation | All Branches | ESE & GATE 2026 Crash Course
YouTube
Complete Differential Equation-Marathon Engineering Maths GATE 2026 | All Branches | Priyanka Ma'am
YouTube
Complete Differential equations in one class | Engineering mathematics |#gate
YouTube

06 Numerical Methods

Root finding, linear systems & numerical integration techniques

Numerical Methods Moderate Weightage

Numerical methods focus on computational techniques. Practice hand calculations for Newton’s method, LU decomposition, and integration rules.

Newton’s Method Secant Method Fixed Point Iteration False Position Direct Methods Iterative Methods LU Decomposition Trapezoidal Rule Simpson’s Rule
Recommended Resources
Engineering Mathematics 10 : Numerical Techniques | All Branches | ESE & GATE 2026 Crash Course
YouTube
Complete Numerical Methods Class (Learn Everything in One Video!)#gate#2025
YouTube
#05 | Numerical Methods | GATE 2023 | Engg. Mathematics | By Gurupal Sir
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Final Tips for Core Mathematics

Maximize your score in the 15 Core Mathematics questions of Test I.

Scoring Strategy:
• Complex Variables & Probability appear EVERY year — these are your guaranteed 4–6 marks.
• Linear Algebra is the third most frequent — eigenvalues and rank problems are common.
• Calculus is the broadest but questions are usually from multivariable or vector calculus.
• Differential Equations: focus on Laplace transforms and Fourier series.
• Numerical Methods: practice Newton’s method and Simpson’s rule by hand.