| 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
- Factoring
- Using quadratic formula
- 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 |