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Mathematics

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Monthly One-time
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$ 10

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Overview

Mathematics is a fundamental part of human thought and logic, and integral to attempts at understanding the world and ourselves. Mathematics provides an effective way of building mental discipline and encourages logical reasoning and mental rigor. In addition, mathematical knowledge

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Syllabus

This chapter guides the student to develop the knowledge about set-introduction, ways of representing set, types of set, Venn diagrams, operations on set. Also, the student will learn about ordered pairs, Cartesian product, relation and its types, equivalence relation and the problems involved in it. They will learn about functions, types of function, invertible function and the problems based on it. Students will be expertise in learning through these concepts.

This chapter guides the student to develop the knowledge about trigonometric angles, conversion of radians to degree measures, conversion of degree measures to radians measures, sum and difference of two angles, trigonometric equations-principal and general solutions, trigonometric ratios and functions. Students will be expertise in learning through these concepts.

This chapter guides the student to develop the  knowledge about the argand plane, introduction of complex numbers, polar representation of complex numbers,properties of complex numbers,modulus and conjugate of complex numbers,quadratic equations and usage of complex roots.Students will be expertise in learning through these concepts.

This Chapter guides the student to develop the  knowledge about  factorial,principles of counting,permutations-way of arranging the objects and combinations-way of selecting the objects. Students will be expertise in learning through these concepts.

 This Chapter guides the student to develop the  knowledge about the sequence and series Introduction,Arithmetic progression and its application,geometric progression and its application,special series summation.Students will be expertise in learning through these concepts.

This Chapter guides the student to develop the  knowledge about the slope of the line,various forms of equations,general equation of line,distance of the point from the line.Students will be expertise in learning through these concepts.

This Chapter guides the student to develop the  knowledge about conic section-Introduction and terms involving -eccentricity,focal length,vertices,directrix,latus rectum,knowing the general equations of parabola,circle,hyperbola,ellipse, and the problems based on it. Students will be expertise in learning through these concepts.

This Chapter guides the student to develop the  knowledge about the limit of function-left limit,right limit,limit point,Limit in different methods-direct substitution,limits of rational expression,Limits of algebraic function,derivative of sum or difference,finding derivative using product rule. Students will be expertise in learning through these concepts.

This Chapter guides the student to develop the  knowledge about random experiment and events,algebra of events,axiomatic approach to probability,Measures of dispersion and problems based on it. Students will be expertise in learning through these concepts.

This chapter guides the student to develop the knowledge about mathematical reasoning-open statement and truth statement, mathematically acceptable statement, types of reasoning, types of statement-simple, compound, if then statement, contradiction statement, counter statement, disjunction, implication statement, biconditional, logically equivalent statement, boolean algebra and its important results and problems based on it. Students will also learn about connecting words, validating statement. Students will be expertise in learning through these concepts.

Benefits

Included in this plan
  • e-books
  • Test Series & Analysis
  • Assignments & Notes
  • Hands on Activity
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