Иногда присылаю методические материалы и прошу использовать их в работе - как правило исполнители идут на контакт, в большинстве это вежливые люди. Спасибо за поддержку в учебе. Напишем доверяю даже самые серьезные проекты - в итоге для меня исполнители делали отличные работы.
Обычно обсуждаю работу лично с исполнителем, через чат, что очень удобно. Ценю, что есть возможность получать скидки и экономить на заказах.
Sets and their representations. Finite and Infinite sets. Subsets of a set of real numbers especially intervals with notations. Union and Intersection of sets. Complement of a set. Properties of Complement Sets. Ordered pairs, Cartesian product of sets. Number of elements in the cartesian product of two finite sets. Cartesian product of the set of reals with itself upto R x R x R. Definition of relation, pictorial diagrams, domain, co-domain and range of a relation.
Function as a special type of relation. Pictorial representation of a function, domain, co-domain and range of a function. Real valued functions, domain and range of these functions, constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic and greatest integer functions, with their graphs. Sum, difference, product and quotient of functions. Positive and negative angles. Measuring angles in radians and in degrees and conversion from one measure to another.
Definition of trigonometric functions with the help of unit circle. Signs of trigonometric functions. Domain and range of trigonometric functions and their graphs.
Identities related to sin 2x, cos2x, tan 2x, sin3x, cos3x and tan3x. Process of the proof by induction, motivating the application of the method by looking at natural numbers as the least inductive subset of real numbers. The principle of mathematical induction and simple applications. Algebraic properties of complex numbers.
Argand plane and polar representation of complex numbers. Statement of Fundamental Theorem of Algebra, solution of quadratic equations with real coefficients in the complex number system. Square root of a complex number. Algebraic solutions of linear inequalities in one variable and their representation on the number line. Graphical representation of linear inequalities in two variables.
Graphical method of finding a solution of system of linear inequalities in two variables. Fundamental principle of counting. History, statement and proof of the binomial theorem for positive integral indices. Formulae for the following special sums.
Brief recall of two dimensional geometry from earlier classes. Slope of a line and angle between two lines. Various forms of equations of a line: General equation of a line. Equation of family of lines passing through the point of intersection of two lines.
Distance of a point from a line. Sections of a cone: Standard equations and simple properties of parabola, ellipse and hyperbola. Standard equation of a circle. Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance between two points and section formula.
Intutive idea of limit. Limits of polynomials and rational functions trigonometric, exponential and logarithmic functions.
Definition of derivative relate it to scope of tangent of the curve, Derivative of sum, difference, product and quotient of functions. Derivatives of polynomial and trigonometric functions. Validating the statements involving the connecting words, Difference between contradiction, converse and contrapositive.
Analysis of frequency distributions with equal means but different variances. Random experiments; outcomes, sample spaces set representation. The above template is only a sample. Suitable internal variations may be made for generating similar templates keeping the overall weightage to different form of questions and typology of questions same.
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Sets and Functions 1. Sets 20 Periods Sets and their representations. Principle of Mathematical Induction: Linear Inequalities 15 Periods Linear inequalities. Permutations and Combinations 10 Periods Fundamental principle of counting. Binomial Theorem 10 Periods History, statement and proof of the binomial theorem for positive integral indices. Sequence and Series 10 Periods Sequence and Series. Formulae for the following special sums Unit-III: Straight Lines 10 Periods Brief recall of two dimensional geometry from earlier classes.
Conic Sections 20 Periods Sections of a cone: Introduction to Three-dimensional Geometry 10 Periods Coordinate axes and coordinate planes in three dimensions.
Limits and Derivatives 30 Periods Derivative introduced as rate of change both as that of distance function and geometrically. Mathematical Reasoning 10 Periods Mathematically acceptable statements. Statistics and Probability 1. Statistics 15 Periods Measures of dispersion: Probability 15 Periods Random experiments; outcomes, sample spaces set representation.