Engineering TRB Chemistry Syllabus
Unit -1 Analytical Chemistry: Classification of analytical Methods – classical and instrumental. Errors and Evaluation: Definition of terms in mean and median – Types of errors, propagation of errors, accuracy and precision, least squares analysis, average standard deviation. Analytical Techniques: Principle and applications of adsorption, partition, ion exchange and solvent extraction chromatographic methods – TLC […]
Engineering TRB Physics Syllabus
Unit 1 : Mathematical Methods Vector fields: Orthogonal curvilinear co-ordinate systems – Expressions for gradient, divergence, curl and Laplacian- Linear vector spaces: Linear independence, basis, dimension, inner product – Schwartz inequality – Orthonormal basis –Gram – Schmidt orthogonalization process –Linear operators – Representation of vectors and operators in a basis – Matrix theory- Cayley-Hamilton theorem […]
Engineering TRB Mathematics Syllabus
Unit 1: Real Analysis Finite-countable and uncountable sets,-Bounded and unbounded sets-Archimedean Property-Ordered field-Completeness of R-Extended real number system Sequences and series-limsup and liminf of a sequence-convergence of sequences and series-uniform convergence-continuity of a function-types of discontinuities uniform continuity-differentiability-Roll’s theorem-mean value theorem –monotone functions, functions of bounded variations,-Riemann Integral and its properties Improper integrals and their […]
Engineering TRB English Syllabus
Unit 1: Chaucer to Shakespeare Geoffrey Chaucer : The Prologue to the Canterbury Tales Edmund Spenser : Prothalamion Shakespeare : Sonnets (12,18,29,30,33,53,54,60,65,73,90,94,107,116,144) John Donne : A Valediction : Forbidding Mourning Andrew Marvell : To His Coy Mistress Francis Bacon : Of Truth Of Death Of Revenge Of Marriage and Single Life Of Ambition Of Nobility […]
Engineering TRB Tamil Eligibility Test
உயர்நிலை – மொழிப்பாடத்திட்டம் – தமிழ் மொழி மானுடத்தின் அடையாளம்; கருத்துப் பரிமாற்றத்திற்கான ஆற்றல் வாய்ந்த ஊடகம். ஒரு சமுதாயத்தின் அறிவு, பண்பாடு, வரலாறு, தத்துவம் ஆகியவற்றோடு இரண்டறக் கலந்ததாகவும் அவற்றின் கருவூலமாகவும் மொழி விளங்குகிறது. தனி மனிதர் சிந்திக்கவும் படைப்பாக்கத் திறன் பெறவும் மொழியே அடிப்படையாக அமைகிறது. எல்லாக் குழந்தைகளும் இயல்பூக்கம் காரணமாகத் தாம் வாழும் சூழலில் இருந்தே மொழியறிவைப் பெற்றுக்கொள்கின்றனர். ஆயினும், அதனை முறையாகத் திறம்பட வளர்த்தெடுப்பதில் கல்விக்கூடங்கள் பெரும்பங்கு வகிக்கின்றன. இதன்படி, மாணவர் […]
Engineering TRB Metallurgical Engineering Syllabus
Unit 1: Engineering Mathematics Linear Algebra: Matrices and Determinants, Systems of linear equations, Eigen values and eigen vectors. Calculus: Limit, continuity and differentiability; Partial Derivatives; Maxima and Minima; Sequences and series; Test for convergence; Fourier series. Vector Calculus: Gradient; Divergence and Curl; Line; Surface and Volume integrals; Strokes, Gauss and Green’s theorems. Differential Equations:Linear and […]
Engineering TRB Electronics & Instrumentation Syllabus
Unit 1: Engineering Mathematics Linear algebra-Matrix algebra-eigen values and eigen vectors; Calculus-evaluation of definite integrals, partial derivatives, maxima and minima, multiple integrals; Differential equations- first order (linear and non-linear), higher order linear differential equations with constant coefficients, Cauchy’s and Euler’s equations, initial and boundary value problems; partial differential equations-variable separable method; Complex variables-analytic functions, Cauchy’s […]
Engineering TRB Computer Science and Engineering / Information Technology Syllabus
Unit 1: Engineering Mathematics Mathematical Logic: Propositional Logic; First Order Logic. Probability: Conditional Probability; Mean, Median, Mode and Standard Deviation; Random variables; Distributions; uniform, normal, exponential, Poisson, Binomial. Set Theory and Algebra: Sets; Relations; Functions; Groups; Partial Orders; Lattice; Boolean Algebra. Combinatorics: Permutations; Combinations; Counting; Summation; generating functions; recurrence relations; asymptotics. Graph Theory: Connectivity; spanning […]
Engineering TRB Electronics and Communication Engineering Syllabus
Unit 1: Engineering Mathematics Linear Algebra: Matrix Algebra, Systems of linear equations, Eigen values and eigen vectors. Calculus: Mean value theorems, Theorems of integral calculus, Evaluation of definite and improper integrals, Partial Derivatives, Maxima and minima, Multiple integrals, Fourier series. Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green’s theorems. Differential […]
Engineering TRB Electrical and Electronics Engineering Syllabus
Unit 1: Engineering Mathematics Linear Algebra: Matrix Algebra, Systems of Linear equations, Eigen Values and eigen vectors. Calculus: Mean Value Theorems, Theorems of integral Calculus Evaluation of definite and improper integrals, Partial Derivatives, Maxima and minima, Multiple integrals, Fourier series. Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green’s theorems. Differential […]
Engineering TRB Mechanical Engineering Syllabus
Unit 1: Engineering Mathematics Linear Algebra: Matrix algebra, Systems of linear equations, Eigen values and eigenvectors. Calculus: Functions of single variable, Limit, continuity and differentiability, Mean value theorems, Evaluation of definite and improper integrals, Partial derivatives, Total derivative, Maxima and minima, Gradient, Divergence and Curl, Vector Identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, […]
