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SYLLABUS FOR MECHANICAL ENGINEERING …

TS ECET-2018. SYLLABUS FOR MECHANICAL ENGINEERING . MATHEMATICS (50 Marks). Unit-I: Matrices Matrices of 3rd order: Types of matrices-Algebra of matrices-Transpose of a matrix- Symmetric, 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: Properties of Modulus, amplitude and conjugate of complex numbers, arithmetic operations on complex number Modulus-Amplitude form (Polar form)-Euler form (exponential form)-Properties- De Movire s Theorem and its applications.

SYLLABUS FOR MECHANICAL ENGINEERING MATHEMATICS (50 Marks) Unit-I: Matrices Matrices of 3rd order: Types of matrices-Algebra of matrices-Transpose of a …

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