Unit-I
Euclid’s algorithm, synthetic division, roots and their multiplicity. Complex roots of real polynomials occur in conjugate pairs with same multiplicity. Relation between roots and co-efficients. Transformation of equations. Descartes’ Rule of Signs.
Unit-II
Newton’s method of divisors, Solution of cubic and bi-quadratic equations, Cardan’s method of solving a cubic, discriminant and nature of roots of real cubic, trigonometric solutions of a real cubic with real roots. Descarte’s and Ferrari’s method for a bi-quadratic.
University Rules
Paper III: THEORY OF EQUATIONS
Max. Marks : 30
Time : 3 Hours
Note:
1. The syllabus has been split into two Units: Unit-I and Unit-II. Four questions will be set from each Unit.
2. A student will be asked to attempt five questions selecting at least two questions from eachUnit. Each question will carry 6 marks.
3. The teaching time shall be five periods (45 minutes each) per paper per week including tutorial.
4. If internal assessment is to be conducted in the form of written examinations, then there will be only one written examination in a Semester
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Important Questions list.
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