## MMMUT Entrance Exam Pattern and Syllabus 2017

__Exam Pattern__

Pattern of Admission Test-2017 will be as follows :

► Admission Test will be of objective type.

► The candidates are required to opt suitable paper(s) for appearing in the entrance examination as mentioned below subject to their eligibility, and the course(s) in which admission is being sought.

Course | Paper | Subject | Duration | Questions | Marks |

B.Tech | Paper 1 | Physics, Chemistry and Mathematics | 3 hours | 150 objective type questions with equal weightage to Physics, Chemistry and Mathematics | 600 |

2nd year B.Tech | Paper 2 | Aptitude Test for Diploma holder in Engineering | 1 Hour 30 Minutes | 75 objective type questions | 300 |

2nd year B.Tech | Paper 3 | Aptitude Test for B.Sc Graduate | 1 Hour 30 Minutes | 75 objective type questions | 300 |

M.B.A | Paper 4 | Aptitude Test for MBA | 1 Hour 30 Minutes | 75 objective type questions | 300 |

M.C.A | Paper 5 | Aptitude test for MCA | 1 Hour 30 Minutes | 75 objective type questions | 300 |

M.Tech | Paper 6 | M.Tech Admission Test | 2 Hours | 100 objective type questions | 400 |

Ph.D | Paper 7 | Ph.D Admission Test | 2 Hours | 100 objective type questions | 400 |

► Every objective type question would carry four marks for correct answer.

► Each objective type question shall have one correct answer. The answer would be considered correct only if the appropriate choice is indicated in the answer.

► There will be negative marking of 1 mark for each wrong answer.

__Exam Syllabus__

Syllabus of MMMUT Admission Test will be as follows :

__P A P E R__ – __1__

(PHYSICS, CHEMISTRY & MATHEMATICS)

*Section –A, Physics*

• Measurement

• Motion in one dimension

• Laws of Motion

• Motion in two dimensions

• Work, Power and Energy

• Linear Momentum and collisions

• Rotation of a rigid body about a fixed axis

• Gravitation

• Oscillatory motion

• Mechanics of solids and fluids

• Heat and thermodynamics

• Wave

• Electrostatics

• Current Electricity

• Magnetic Effect of Current

• Magnetism in Matter

• Electromagnetic induction

• Ray Optics and optical instruments

• Wave Optics

• Modern Physics

*Section – B, Chemistry*

• Atomic Structure

• Chemical Bonding

• Redox Reactions

• Chemical Equilibrium and Kinetics

• Acid – Base Concepts

• Electrochemistry

• Catalysis

• Colloids

• Colligative Properties of Solution

• Periodic Table

• Preparation and Properties

• Thermo chemistry

• General Organic Chemistry

• Isomerism

• IUPAC

• Polymers

• Carbohydrates

• Solid State

• Petroleum

*Section – C, Mathematics*

• Algebra

• Probability

• Trigonometry

• Co-ordinate Geometry

• Calculus

• Vectors

• Dynamics

• Statics

__P A P E R__ – __2__

(APTITUDE TEST FOR DIPLOMA HOLDERS IN ENGINEERING)

Engineering Mechanics, Engineering Graphics, Basic Electrical Engg., Basic Electronics Engg., Elements of computer science, Elementary Biology, Basic Workshop Practice and Physics/Chemistry/Maths of Diploma standard.

__P A P E R__ – __3__

(APTITUDE TEST FOR B.SC. GRADUATE IN ENGINEERING)

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 equations: First order equation (linear and nonlinear), Higher order linear differential equations with constant coefficients, Method of variation of parameters, Cauchy’s and Euler’s equations, Initial and boundary value problems, Linear partial differential equations with constant coefficients of 2nd order and their classifications and variable separable method.

Complex variables: Analytic functions, Cauchy’s integral theorem and integral formula, Taylor’s and Laurent’ series, Residue theorem, solution integrals.

Probability and Statistics: Sampling theorems, Conditional probability, Mean, median, mode and standard deviation, Random variables, Discrete and continuous distributions, Poisson, Normal and Binomial distribution, Correlation and regression analysis.

Fourier Series: Periodic functions, Trigonometric series, Fourier series of period, Euler’s formulae, Functions having arbitrary period, Change of interval, Even and odd functions, Half range sine and cosine series.

Transform Theory: Laplace transform, Laplace transform of derivatives and integrals, Inverse Laplace transform, Laplace transform of periodic functions, Convolution theorem, Application to solve simple linear and simultaneous differential equations. Fourier integral, Fourier complex transform, Fourier sine and cosine transforms and applications to simple heat transfer equations.

Z – Transform and its application to solve difference equations.

__P A P E R__ – __4__

(APTITUDE TEST FOR MBA)

The test is aimed at evaluating the verbal ability, quantitative aptitude, logical and abstract reasoning and knowledge of current affairs. The following is a brief description of contents of the test paper.

Section-A (English Language): Grammar, vocabulary, uncommon words, sentence completion, synonyms, antonyms, relationship between words and phrases and comprehension of passages.

Section-B (Numerical Aptitude): Numerical calculation, arithmetic, simple algebra, geometry and trigonometry, Interpretation of graphs, charts and tables.

Section-C (Thinking and Decision Making): Creative thinking, unfamiliar relationships, verbal reasoning, finding patterns trends and Assessment of figures and diagrams.

Section-D (General Awareness): Knowledge of current affairs and other issues related to trade, industry, economy, sports, culture and science.

__P A P E R__ – __5__

(APTITUDE TEST FOR MCA)

__(i) MATHEMATICS__

Modern Algebra: Idempotent law, identities, complementary laws, Demorgan’s theorem, mapping, inverse relation, equivalence relation, Piano’s Axiom, definition of rational numbers and integers through equivalence relation.

Algebra: Surds, solution of simultaneous and quadratic equations, arithmetic, geometric and harmonic progression, Binomial theorem for any index, logarithms, exponential and logarithmic series, determinants.

Probability: Definition, dependent and independent events, numerical problems on addition and multiplication of probability, theorems of probability.

Trigonometry: Simple identities, trigonometric equations, properties of triangles, use of mathematical tables, solution of triangles, height and distance, inverse functions, DeMoiver’s theorem.

Co-Ordinate Geometry: Co-ordinate geometry of the straight lines, pair of straight lines, circle, parabola, ellipse and hyperbola and their properties.

Calculus: Differentiation of function of functions, tangents and normal, simple examples of maxima of minima, limits of function, integration of function (by parts, by substitution and by partial fraction), definite integral (application to volumes and surfaces of frustums of sphere, cone and cylinder).

Vectors: Position vector, addition and subtraction of vectors, scalar and vector products and their applications.

Dynamics: Velocity, composition of velocity, relative velocity, acceleration, composition of acceleration, motion under gravity, projectiles, laws of motions, principles of conservation of momentum and energy, direct impact of smooth bodies, pulleys.

Statics: Composition of co-planar, concurrent and parallel forces, moments and couples, resultant of set of coplanar forces and conditions of equilibrium, determination of Centroides in simple case, problems involving friction.

__(ii) STATISTICS__

Theory of probability, Mean, Median, Mode, Dispersion and Standard Deviation.

__(iii) LOGICAL ABILITY__

Questions shall be set to test analytical and reasoning capability of candidates.

__P A P E R – 6__

(M.Tech. Admission Test)

For admission to M.Tech. programmes, the admission test shall include objective type questions from general Engineering Aptitude consisting of Engineering Mechanics, Engineering Graphics, Basic Electrical Engineering, Basic Electronics Engineering, Basic Computer Science, Workshop practice, Basic Mechanical Engineering, Physics/ Chemistry/ Mathematics of Degree standard.

__P A P E R – 7__

(Ph.D. Admission Test)

For admission to PhD programme, the admission test shall include 25% objective type questions related to the quantitative aptitude and research methodology each and 50% questions from the core subject of the respective department.

*To be Considered :* For more detailed syllabus, download the prospectus (Information Bulletin) of MMMUT Admission Test-2017 from the link given hereunder :