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1.Algebra
Chapter 1
Permutations & Combinations.....................................
1.1 The Basic Principle of Counting...............................................
1.2 Permutations.............................................................................
1.3 Combinations of things All Different......................................
Chapter 2
Binomial Theorem.........................................................
2.1 Binominal Theorem for a Positive Integer...............................
2.2 General Term............................................................................
2.3 Binominal Coefficients..............................................................
Chapter 3
Complex Number.....................................................
3.1 Polar Form of a Complex Number....................................
3.2 Euler's formula..................................................................
Chapter 4
Sequence and Series...................................................
4.1 Sum of the finite natural numbers........................................
4.2 Sum of the square of the first n natural numbers.................
Chapter 5
Matrix based System of Linear Equations........................
5.1 System of Linear Equations.............................................................
5.2 Solutions of system of Linear Equations by Cramer's rule..............
5.3 By Row Equivalent Method.............................................................
5.4 Application pf Matrix and Determinants.........................................
2. Trigonometry
Chapter 6
Properties of Triangle........................................
6.1 The Sine law................................................................
Chapter 7
Solution of Triangle............................................
7.1 Solutions of Triangles..................................................
3. Analytic Geometry
Chapter 8
Conic Section...............................................................
8.1 Conic Section........................................................................
8.2 Circle....................................................................................
8.3 Condition of Tangency of a Straight Line to a Circle..........
8.4 Equation of the Tangent to the Circle..................................
8.5 Equation to the Normal to the Circle x^2+y^2= a^2..........
4. Vectors
Chapter 9
Product of Vectors.........................................
9.1 Products of Vectors................................................
9.2 Scalar product of two Vectors...............................
5. Statistics and Probability
Chapter 10
Correlation and Regression...................................
10.1 Correlation......................................................................
10.2 Nature of Correlation.....................................................
10.3 Karl Pearson's correlation coefficient............................
Chapter 11
Probability...............................................................
11.1 Introduction....................................................................
6. Calculus
Chapter 12
Derivatives................................................................
12.1 Derivatives......................................................................
Chapter 13
Application of Derivatives........................................
13.1 L-Hospital's Rule...............................................................
13.2 Differentials.......................................................................
13.3 Tangents and Normals......................................................
13.4 Derivative at the Rate Measure........................................
Chapter 15
Antiderivative..........................................................
14.1 Antiderivative of standard integrals...............................
14.2 Some Integrals Reducible to Standard Forms................
14.3 Integration of Rational Fractions...................................
Chapter 16
Differential Equations...........................................
15.1 Differential Equations...................................................
15.2 Differential Equation and its order and first Degree.....
15.3 Differential equation of the first order and first degree.
15.4 Differential equation with variables Separated form.....
15.5 Homogenous Equations.................................................
7. Computational Methods
Chapter 16
System of Linear Equations...............................................
16.1 System of linear equations............................................................
16.2 Gaussian Elimination Method......................................................
Chapter 17
Linear Programming..........................................................
17.1 Introduction...................................................................................