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Algebra – II
Quadratic Equations, Complex Numbers, Logarithmic and Exponential functions and Binomial Theorem are the main testing areas in Algebra II. It is an extension of Algebra I and Geometry. The program is designed to instill confidence in our students to identify and solve the ‘difficult’ problems involving its basic concepts. It covers new concepts and techniques required for more advanced courses in Mathematics and the general terms. The emphasis is on abstract thinking skills. Our subject-experts would be glad to help students master these techniques so that they can extend their mathematical reasoning to check algebraic arguments for validity. This not only helps build a strong foundation in the subject but also encourages him/her to become more inquisitive, which help enhance logical reasoning.

Tutoring: $17/ hour
Module-I Equations and Inequalities Involving Absolute Values
  • Properties of equations with absolute values
  • Sketching the graphs of the equations
  • Solving systems of linear equations and inequalities with the Matrices, Graphs or by substitution.
Suggestive Number Of Hours
 
6 hrs
Module-II Polynomials
  • Simplifying polynomials
  • Long Division
  • Multiplying the polynomials
  • Factoring
  • Synthetic Division
4 hrs
Module-III Complex Numbers
  • Knowing about the complex numbers
  • Arithmetical and Graphical relation between Real and Complex Numbers
  • Plotting of complex numbers as points in plane
  • Addition, Subtraction, Division and Multiplication of Complex Numbers
6 hrs
Module-IV Rational Expressions
  • Addition and Subtraction of Rational Expressions with monomial and polynomial denominators
  • Multiplication and Division of Rational Expressions with monomial and polynomial denominators
  • Reducing the Rational Expressions
  • Solving Rational Expressions with negative Exponents in the denominator.
3 hrs
Module-V Quadratic Equations
  • Solving quadratic equations by
    1. Factoring
    2. Using quadratic formula
    3. Completing the square
  • Solving word problems related to Quadratic Equations
  • Solving Quadratic Equations in complex number system
  • Plotting Quadratic Functions
  • Studying the effect of changeof variables on quadratic functions
  • Maxima and Minima
  • Zeros of Function
10 hrs
Module-VI Exponential and Logarithmic Functions
  • Properties of Logarithms
  • Simplifying Logarithmic Numeric Expressions
  • Inverse relation between Logarithms and Exponents
  • Fractional Exponents
  • Exponential Functions
  • Problems involving exponential growth and decay
6 hrs
Module-VII Conic Section
  • Asymptotes
  • Foci
  • Eccentricity
  • Identifying if the graph represented by a quadratic equation is a circle, ellipse, parabola or hyperbola.
6 hrs
Module-VIII Permutations & Combination and Probability
  • Fundamental principal of counting
  • Solving permutations and combinations
  • Computing probabilities using permutations and combinations
4 hrs
Module-IX Binomial Theorem and Progressions
  • Understanding Binomial Theorem
  • Expanding  binomial expressions with positive integer power
  • Mathematical Induction
  • Arithmetic & Geometric progressions
  • Finding general terms and sums of the series
  • Summation Formula
6 hrs
Module-X Functions
  • Functional concepts e.g composition etc.
  • Inverse functions
  • Arithmetic operations on functions
  • Combining and simplifying functions
6 hrs
 

Algebra -I  |  Algebra -II  |  Geometry  |  Trigonometry  |  Probability & Statistics  |  Pre-calculus
Calculus
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