What topics does algebra literally consist of in bitsat maths syllabus..??
Answer (1)
6th May, 2018
hi Priya,
In algebra in mathametics in BITSAT syllabus these are the tolics which are undertaken-
| 1. Algebra | |
| 1.1 | Complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, roots of complex numbers, geometric interpretations; Fundamental theorem of algebra. |
| 1.2 | Theory of Quadratic equations, quadratic equations in real and complex number system and their solutions, relation between roots and coefficients, nature of roots, equations reducible to quadratic equations. |
| 1.3 | Arithmetic, geometric and harmonic progressions, arithmetic, geometric and harmonic means, arithmetico-geometric series, sums of finite arithmetic and geometric progressions, infinite geometric series, sums of squares and cubes of the first n natural numbers. |
| 1.4 | Logarithms and their properties. |
| 1.5 | Exponential series. |
| 1.6 | Permutations and combinations, Permutations as an arrangement and combination as selection, simple applications. |
| 1.7 | Binomial theorem for a positive integral index, properties of binomial coefficients, Pascal’s triangle |
| 1.8 | Matrices and determinants of order two or three, properties and evaluation of determinants, addition and multiplication of matrices, adjoint and inverse of matrices, Solutions of simultaneous linear equations in two or three variables, elementary row and column operations of matrices, Types of matrices, applications of determinants in finding the area of triangles. |
| 1.9 | Sets, Relations and Functions, algebra of sets applications, equivalence relations, mappings, one-one, into and onto mappings, composition of mappings, binary operation, inverse of function, functions of real variables like polynomial, modulus, signum and greatest integer. |
| 1.10 | Mathematical reasoning and methods of proofs , Mathematically acceptable statements. Connecting words/phrases – consolidating the understanding of “ if and only if (necessary and sufficient) condition”, “implies”, “and/or”, “implied” by”, “and”, “or”, “ there exists” and through variety of examples related to real life and Mathematics. Validating the statements involving the connecting words – difference between contradiction, converse and contrapositive., Mathematical induction |
| 1.11 | Linear Inequalities, solution of linear inequalities in one variable ( Algebraic) and two variables (Graphical). |
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