AP ECET 2020 is a Common Entrance Test for Diploma Holders and for B.Sc.(with Mathematics as one of the optional subjects) to get admission into B.Tech & Pharmacy. APECET 2020 will be conducted by JNTUA on behalf of the Andhra Pradesh State Council of Higher Education for the academic year 2020-2021
The submission of online applications for ECET Andhra Pradesh started on February 2020
AP ECET 2020 Syllabus for Diploma Holders in Engineering, Diploma Holders in Pharmacy and B.Sc.(Mathematics) Graduates.
AP ECET 2020 Exam will be on 30th April 2020 (Thursday)
AP ECET 2020 Syllabus For Mathematics Common Syllabus
AP ECET 2020 Syllabus in diploma holders in engineering, diploma holders in pharmacy, B.Sc.(Mathematics) graduates, Common Subjects given in detail.
Mathematics Common Syllabus is for Diploma Holders
Unit-I Matrices: Matrices of 3rd order: Types of matrices-Algebra of matrices-Transpose of a matrixSymmetric, skew symmetric matrices-Minor, cofactor of an element-Determinant of a square matrix-Properties-Laplace’s expansion-singular and non singular matrices-Adjoint and multiplicative inverse of a square matrix-System of linear equations in 3 variables-Solutions by Crammer’s rule, Matrix inversion method,-Gauss-Jordan methods. Partial Fractions: Resolving a given rational function into partial fractions.
Unit –II: Trigonometry: Properties of Trigonometric functions – Ratios of Compound angles, multiple angles, sub multiple angles – Transformations of Products into sum or difference and vice versa – Simple trigonometric equations – Properties of triangles – Inverse Trigonometric functions. Complex Numbers: Modulus and conjugate, arithmetic operations on complex number— Modulus-Amplitude form (Polar form)-Euler form (exponential form)-Properties- De Movire’s Theorem and its applications.
Unit – III : Analytical Geometry Circles-Equation given center and radius-given ends of diameter-General equation-finding center and radius. Standard forms of equations of Parabola, Ellipse and Hyperbola – simple properties.
Unit – IV : Differentiation and its Applications Functions and limits – Standard limits – Differentiation from the First Principles – Differentiation of sum, product, quotient of functions, function of function, trigonometric, inverse trigonometric, exponential, logarithmic, Hyperbolic functions, implicit, explicit and parametric functions – Derivative of a function with respect to another function-Second order derivatives –Geometrical applications of the derivative (angle between curves, tangent and normal) – Increasing and decreasing functions – Maxima and Minima (single variable functions) using second order derivative only – Derivative as rate measure -Errors and approximations – Partial Differentiation – Partial derivatives up to second order – Euler’s theorem.
Unit – V : Integration and Its Applications Indefinite Integral – Standard forms – Integration by decomposition of the integrand of trigonometric, algebraic, exponential, logarithmic and Hyperbolic functions – Integration by substitution – Integration of reducible and irreducible quadratic factors – Integration by parts – Definite Integrals and properties, Definite Integral as the limit of a sum – Application of Integration to find areas under plane curves and volumes of Solids of revolution – Mean and RMS value.
Unit – VI: Differential Equations Definition of a differential equation-order and degree of a differential equation- formation of differential equations-solution of differential equation of the type first order, first degree, variable-separable, homogeneous equations, exact, linear differential equation of the form dy/dx + Py = Q, Bernoulli’s equation, nth order linear differential equation with constant coefficients both homogeneous and non homogeneous and finding the Particular Integrals for the functions , , ,Sin ax, Cos ax.
Number of Questions to be Set Unit Wise (TOTAL 50)
| Unit no | Topics | Marks |
| I | Matrices | 5 |
| I | Partial Fractions | 2 |
| II | Trigonometry | 10 |
| II | Complex numbers | 2 |
| III | Analytical geometry | 6 |
| IV | Differentiation and its applications | 10 |
| V | Integration and its applications | 8 |
| VI | Differential equations | 7 |
| _ | TOTAL | 50 |
FOR DIPLOMA HOLDERS MODEL QUESTIONS FOR MATHEMATICS
The maximum value of 5+8Cos +6Sin is
1) 25
2) 19
3) 15
4) 5
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