BITS HD Admission Test : Exam Date, Registration, Eligibility, Syllabus, Results

Units

Topics

Calculus

Functions and graphs, Limit and continuity, Applications of Derivatives, Applications of Definite Integrals, Convergence of Infinite Sequences and Series, Maclaurin and Taylor Series, Functions of several variables, Limits and Continuity in Higher Dimensions, Partial Derivatives, The Chain Rule, Directional Derivatives and Gradient Vectors, Tangent Planes and Normal Lines, Extreme Values and Saddle Points, Double Integrals, Triple Integrals, Line and Surface Integrals, Conservative Fields, Curl and Divergence, Theorems of Green, Gauss, and Stokes.

Linear Algebra

Matrix Algebra, Row Reduction Method, Rank and Inverse of a Matrix, System of Linear Equations, Vector Space, Basis and Dimension, Linear Transformation, Eigenvalues and Eigenvectors.

Complex Variables

Analytic Functions, Cauchy’s Theorems, Cauchy’s Integral Formula, Taylor Series and Laurent Series, Calculus of Residues and Applications.

Probability and Statistics

Sample Space and Events, Conditional Probability and Independence, Random Variables and Probability Distributions, Independent Random Variables, Mathematical Expectation, Mean and Variance, Geometric, Binomial, Poisson's, Exponential, Gamma and Normal Distributions, Sum of Independent Random Variables, Law of Large Numbers, Central Limit Theorem, Marginal and Conditional Distributions, Sampling Distribution, Point Estimation, Statistical Intervals Based on a Single Sample, Hypothesis Testing, Correlation, and Linear Regression.

Differential Equations

First-Order Differential Equations (Linear and Nonlinear), Higher-Order Linear Differential Equations with Constant Coefficients, Method of Variation of Parameters, Cauchy Euler's Equations, Fourier Series, Laplace Transform, Initial and Boundary Value Problems, Partial Differential Equations, Method of Separation of Variables.

Numerical Methods

Solution of Nonlinear Algebraic Equations, Newton’s Method, Secant Method, Fixed Point Iteration Method, Method of False Position, Solution of System of Linear Equations (Direct and Iterative Methods), LU Decomposition, Integration using Trapezoidal and Simpson's Rule.

Grammar

Agreement, Time and Tense, Parallel Construction, Relative Pronouns, Determiners, Prepositions, Modals, Adjectives, Voice, Transformation, Question Tags, Phrasal Verbs.

Vocabulary

Synonyms, Antonyms, Odd Words, One-Word Substitutions, Jumbled Letters, Homophones, Spelling, Contextual Meaning, Analogy.

Reading Comprehension

Content/Ideas, Vocabulary, Referents, Idioms and Phrases, Reconstruction (Rewording).

Composition

Rearrangement, Paragraph Unity, Linkers and Connectives.

Logical Reasoning

Verbal Reasoning: Analogy, Classification, Series Completion, Logical Deduction, Reading Passages, Chart Logic. Nonverbal Reasoning: Pattern Perception, Figure Formation and Analysis, Paper Cutting, Figure Matrix, Rule Detection.

Exam 

Link 

Test I

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Test II

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Special Test in environmental engineering and software system 

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