PREPARATION GUIDE
How To Prepare
Core Mathematics
Complete preparation strategy for Calculus, Linear Algebra, Complex Variables, Probability & Statistics, Differential Equations & Numerical Methods for BITS HD 2026.
▶ 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
Preparation Strategy
Follow this order for maximum efficiency. Start with high-weightage topics that appear every year.
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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.
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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.
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Phase 2: Core Foundation
Linear Algebra + Calculus
Matrix operations, eigenvalues, and multivariable calculus are heavily tested. Build strong fundamentals.
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Phase 3: Applied Math
Differential Equations
Laplace transforms, Fourier series, and PDEs with separation of variables. Focus on solving techniques.
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Phase 4: Numerical
Numerical Methods
Newton’s method, LU decomposition, Trapezoidal & Simpson’s rules. Practice hand calculations.
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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
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
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
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
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
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
Final Tips for Core Mathematics
Maximize your score in the 15 Core Mathematics questions of Test I.
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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.
- Start with Complex Variables & Probability — they have the highest question-to-effort ratio. 2–3 questions each, every year.
- Practice BITS PYQs — many questions repeat in spirit (same concept, different numbers). Do all PYQs at least twice.
- Don’t skip Numerical Methods — it’s the easiest scoring topic. Newton’s method and Simpson’s rule are formula-based.
- Use GATE PYQs for practice — GATE questions are harder than BITS HD, so they prepare you well. If you can solve GATE problems, BITS HD will feel easy.
- Time management: You have only 1.5 minutes per question (30 questions in 45 mins). If stuck, mark and move on. Come back if time permits.
- Marking scheme: +3 for correct, -1 for wrong. If unsure between 2 options, attempt. If no idea at all, SKIP.
- Revise formulas weekly — keep a formula sheet for each topic. Review it every Sunday until the exam.