UKSEE 2020 Syllabus - Syllabus for Paper-6 and Paper-8 for B.Tech Admissions

Published on : 14th October 2019    Author : Meenakshi
UKSEE Exam

Uttarakhand Technical University (UTU) prescribes the syllabus for the Uttarakhand State Entrance Examination (UKSEE). The examination is conducted for admission to various courses such as BHMCT, B.Pharm, MCA, MBA, M.Pharm and second year of B.Tech., B.Pharm, and MCA. Admission to the first year of B.Tech. course is done through the JEE Main score. UKSEE exam is conducted for nine papers and the syllabus for each paper will be different. Here we will be discussing the UKSEE 2020 syllabus of the B.Tech. course (lateral entry).

For admission to B.Tech. (second year), candidates are required to appear for different papers as per their qualifications. For diploma holders, Aptitude Test for Engineering Diploma Holders is conducted and for degree holders, Aptitude Test for B.Sc. Graduates is conducted. Thus, there are three ways for B.Tech admissions in colleges under UTU:

For Admission to B.Tech. Programmes (Lateral Entry)

Educational Qualification

UKSEE 2020 Paper

For Diploma holders

Paper-6 (Aptitude Test for Engineering Diploma Holders)

For B.Sc. Degree holders

Paper-8 (Aptitude Test for B.Sc. Graduates)

The exam pattern for both the papers is the same. Each paper comprises of 100 objective type questions of 1 mark each. The question paper will be in Hindi and English languages. There is no negative marking in the exam. Let’s move ahead to the syllabus of the UKSEE 2020 exam.

UKSEE 2020 Syllabus

As we are discussing the B.Tech. programme, here is the syllabus for the same.

Syllabus for Paper-6 (Aptitude Test for Diploma Holders in Engineering)

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

Syllabus for Paper-8 (Aptitude Test for B.Sc. Graduates)

Linear Algebra: Systems of linear equations, Matrix Algebra, Eigen values and eigen vectors.

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

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

Calculus: Theorems of integral calculus, Mean value theorems, Evaluation of definite and improper integrals, Maxima and minima, Partial Derivations, Multiple integrals, Fourier series. Vector identities, Line, Surface and Volume integrals, Directional derivatives, Stokes, Gauss and Green’s theorems.

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

Fourier Series: Trigonometric series, Periodic functions, Fourier series of period 2p, Euler’s formulae, Change of an interval, Functions having an arbitrary period, Even and odd functions, Half range sine, and cosine series.

Transform Theory: Laplace transform, Inverse Laplace transform, Laplace transform of derivatives and integrals, Laplace transform of periodic functions, Convolution theorem, Application to solve simple linear and simultaneous differential equations.

Fourier complex transform, Fourier integral, Fourier sine and cosine transforms and applications to simple heat transfer equations.

Z-transform and its application to solve difference equations

Candidates are advised to prepare for the exam only as per the prescribed syllabus. Make sure you cover the entire syllabus and also practice previous years’ question papers for identifying the important topics. The upcoming UKSEE exam will be conducted in the third week of May 2020.



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