Foundation Series Of Mathematics Class:10,

Description

BOOKS Cover Copyright Detailed Contents Preface to the Fifth Edition Preface About the IIT Foundation Series Structure of the IIT Foundation Series Series Content List Ch.1: Number System INTRODUCTION Euclid’s division lemma Fundamental theorem of arithmetic test your concepts CONCEPT APPLICATION KEY key points for selected questions Ch.2: Polynomialsand Rational Expressions INTRODUCTION Polynomial of nth degree Relation among the HCF, the LCM and the product of the polynomials Rational expressions in lowest terms test your concepts CONCEPT APPLICATION KEY key points for selected questions Ch.3: Linear Equations in Two Variables INTRODUCTION Algebraic expressions Transposition Word problems and application of simultaneous equations test your concepts CONCEPT APPLICATION KEY Ch..4: Quadratic Equations and Inequalities INTRODUCTION Roots of the equation Finding the roots by factorization Constructing a quadratic equation Equations of higher degree Quadratic Inequations test your concepts CONCEPT APPLICATION KEY key points for selected questions Ch.5: Statements INTRODUCTION Statement Truth value Negation of a statement Tautology Contradiction Contingency Logically equivalent statements Laws of algebra of statements Quantifiers Application to switching networks test your concepts CONCEPT APPLICATION KEY key points for selected questions Ch.6: Sets, Relations and Functions INTRODUCTION Set Elements of a set Dual of an identity Venn diagrams Ordered pair Relation Function Domain and co-domain Rang Arrow diagram Types of functions One-one function or injection Many to one function Onto function or surjection Into function Bijective function Inverse of a function Inverse function Identity function Constant function Equal function Composite function (or) product function Real function Even and odd functions Graphs of functions test your concepts CONCEPT APPLICATION KEY key points for selected questions Ch.7: Progressions INTRODUCTION Sequence Arithmetic progression (A.P.) Geometric progression (G.P.) Harmonic progression (H.P.) test your concepts CONCEPT APPLICATION KEY key points for selected questions Ch.8: Trigonometry INTRODUCTION Angle Systems of measurement of angle Relation between the units of the three systems Trigonometric ratios Standard position of the angle Coterminal angles Trigonometric tables Heights and distances test your concepts CONCEPT APPLICATION KEY key points for selected questions Ch.9: Limits INTRODUCTION Limit of a function Meaning of ‘x → a’ Indeterminate form Limits as x tends to infinity test your concepts CONCEPT APPLICATION KEY key points for selected questions Ch.10: Matrices INTRODUCTION Order of a matrix Various types of matrices Comparable matrices Operations on matrices Determinant test your concepts CONCEPT APPLICATION KEY key points for selected questions Ch.11: Remainder and Factor Theorems INTRODUCTION Remainder theorem Factor theorem test your concepts CONCEPT APPLICATION KEY key points for selected questions Ch.12: Statistics INTRODUCTION Data Types of data Tabulation or presentation of data Class interval Class boundaries Class size Bar graph Histograms Frequency polygon Frequency curve Arithmetic mean or mean (A.M Median Mode Observations Coefficient of variation (C.V.) Quartiles test your concepts CONCEPT APPLICATION KEY key points for selected questions Ch.13: Geometry INTRODUCTION Symmetry Image of a point about a line Image of a line segment about a line Image of an angle about a line Properties of size transformation Criteria for similarity of triangles Circles Chord Cyclic quadrilateral Equation of a locus test your concepts CONCEPT APPLICATION KEY key points for selected questions Ch.14: Mensuration INTRODUCTION Equilateral triangle Prisms Cubes and cuboids Pyramid Cone Right circular cone Hollow cone Sphere Hemisphere test your concepts CONCEPT APPLICATION KEY key points for selected questions Ch.15: Coordinate Geometry INTRODUCTION Coordinates of a point Convention of signs Points on the plane Distance between two points Straight lines The slope of a line passing through the points (x1, y1) and (x2, y2) Intercepts of a straight line Oblique line Area of triangle Section formulae Mid-point Centroid Equation of a line parallel or perpendicular to the given line test your concepts CONCEPT APPLICATION KEY key points for selected questions Ch.16: Mathematical Induction and Binomial Theorem INTRODUCTION The principle of mathematical induction Pascal triangle Factorial notation and nCr representation Binomial theorem Term independent of x test your concepts CONCEPT APPLICATION KEY key points for selected questions Ch.17: Modular Arithmetic INTRODUCTION Congruence Set of residues Construction of caley’s table Linear congruence test your concepts CONCEPT APPLICATION KEY key points for selected questions Ch.18: Linear Programming INTRODUCTION Convex set Objective function The fundamental theorem Optimum solution test your concepts CONCEPT APPLICATION KEY key points for selected questions Ch.19: Computing INTRODUCTION Historical development of computing Software Algorithm Flow chart Operators Basic Constants Variables Conditional statements Looping statements test your concepts CONCEPT APPLICATION KEY key points for selected questions Ch.20: Permutations and Combinations INTRODUCTION Sum rule of disjoint counting General form of sum rule Generalization of product rule Permutations Factorial notation Explanation Combinations General formula for combinations test your concepts CONCEPT APPLICATION KEY key points for selected questions Ch.21: Probability INTRODUCTION Sample space Event Probability of an event Probability of non-occurrence of an event E test your concepts CONCEPT APPLICATION KEY key points for selected questions Ch.22: Banking INTRODUCTION Deposit accounts Types of cheques Loans test your concepts CONCEPT APPLICATION KEY key points for selected questions Ch.23: Taxation INTRODUCTION Income tax Sales tax test your concepts CONCEPT APPLICATION KEY key points for selected questions Ch.24: Instalments INTRODUCTION Cash price Repayment of loan test your concepts CONCEPT APPLICATION KEY key points forselected questions Ch.25: Shares and Dividends INTRODUCTION Nominal value of a share (N.V.) Market value of a share (M.V.) Dividend test your concepts CONCEPT APPLICATION KEY key points for selected questions Ch.26: Partial Fractions INTRODUCTION Method 1 Method 2 Method 3 Method 4 test your concepts CONCEPT APPLICATION KEY key points for selected questions Ch.27: Logarithms INTRODUCTION Definition Variation of logax with x Anti-log test your concepts CONCEPT APPLICATION KEY key points for selected questions