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DCET-Syllabus | 2022 Govt. of Karnataka Department of Collegiate and Technical Education DCET-2022 SYLLABUS (Common to all branches) . DURATION: 3Hours MAXIMUM MARKS:100 S1.No PAPER MARKS 1 APPLIED MATHEMATICS 50 2 APPLIED SCIENCE 50 TOTAL 100 1. APPLIED MATHEMATICS (COMMON TO ALL BRANCHES} Max Marks: 50 Marks , LINEAR ALGEBRA Unit-l: MATRICES & DETERMINANTS: 07 Mark Basic concepts of Matrices(Addition, Subtraction and Multiplication) ,Determinants: Problems on finding unknown quantity in a 2°4 and 3" order determinants using expansion. Solving simultaneous linear equations using determinant method (Cramer’s rule up to 3" order). Matrices: Minors, Cofactors, Adjoint and Inverse of matrices of 2™ order. Characteristic equation and roots of a square matrix. ALGEBRA Unit-2: VECTORS: 04 Marks Magnitude of a vector. Position vector. Expression of vector in terms of position vectors. Vector in plane and in space in terms of unit vectors i, j and k respectively. Product of vectors. Scalar and vector product. Applications of dot and cross products i.e., Projection of vector on another vector, Area of parallelogram and area of triangle. Work done by a force and moment of force. Unit-3: PROBABILITY: 01 Marks Random Experiments, Sample Space, Events, Types of Events, Algebra of Events, Complementary event, the events A or B, A and B,A but not B, Mutually Exclusive Events, Exhaustive events, Simple problems. TRIGONOMETRY Unit-4; ALLIED ANGLES AND COMPOUND ANGLES: 08 Marks Signs of Trigonometric ratios, Trigonometric ratios of Allied Angles in terms of 8. Formulae for Sin(A+B), Cos(AtB) & tan(A+B) and problems’ on them. Multiple and sub multiple angle Department of Collegiate and Technical Education Karnataka State Page 1 
