INDEX Beta

INDEX

Mathematics start from Arithmetic. We need to find smarter methods to do our basic arithmetic. 

ARITHMETIC
Addition, Subtraction, Multiplication, Division, Squaring a number, 

Dealing with Fractions
                                                    
 ALGEBRA
we need to understand equations. and how formation of an equation lets us find unknowns. And equations are formed by using some mathematical truth which could be geometrical or algebraic or trigonometric

Simple Equations
Simple Equations and Fractions
Factorization
Simultaneous Equations & Cramer’s Rule
Quadratic Equations: nothing but two simple expressions multiplied.
Cubic & Higher Degree equations

GEOMETRY, TRIGONOMETRY & COORDINATE GEOMETRY
Angle, Triangle, Isosceles, Equilateral, Right Angled Triangles, Isosceles Right Angled Triangles, Trigonometrical Ratios emanating from these triangles viz. Ratios for 45, 30, 60
Finding half angles i.e. 22.5, 15 & 7.5
Finding rest of the ratios if one ratio is known

trigonometric ratios for 90-x, 90+x, 180-x.
One can convert 90+x to 180-y and solve.
And 360-x & -x angles

TRIGONOMETRIC RATIOS FOR A+B, A-B, 2A 
TRIGO RATIOS FOR Sin A +-Sin B, Cos A +- Cos B & Tan A +- Tan B

Coordinate Geometry & Right Angled Triangles
Distance Formula from Pythagoras’ Theorem
Parametric Form of a Point [rCosx, rSinx] again from Rt. Angled Triangle


NDEX

WHAT HAS BEEN DONE SO FAR. 

HOME PAGE
Introduction, Credentials & Index of Topics in Arithmetic, Algebra & Geometry
TO BE ADDED
Completion of the Index, Adding Quadratics & Straight Line sections in Index

PRELIMINARIES
this page can be dispensed with. For now, we have
Overview, and short write ups on Algebra, Arithmetic, Geometry …

ARITHMETIC [Change the name to A Story on Numbers]
A Story

ARITHMETIC 1 [Change the name to Arithmetic + – * /]
Methods for Adding, Multiplying, Squaring & Division
TO BE ADDED
Subtraction

ALGEBRA [Change the name to Essentials of Algebra]
TO BE ADDED
All the essential formulae in one place

ADDITIONAL PAGE:
1. Simple Equations + Algebraic Fractions
2. Factorization
3. x^n + – y^n

PASCAL’S TRIANGLE

LOGARITHMS
TO BE ADDED
All the essential formulae in one place

GEOMETRY [rename as Right Angled Triangle]
GEOMETRY Lesson 1: PARALLEL LINES
GEOMETRY Lesson 2: RAT & Semi Circle
GEOMETRY Lesson 3: RAT & Coord Geom 
GEOMETRY Lesson 4: RAT & Trigonometry
GEOMETRY Lesson 5: Eq Triangle & Axes
GEOMETRY Lesson 6: ST. LINE y = mx 
GEOMETRY Lesson 7: m<0, m fractional, m>0
GEOMETRY Lesson 8: y=mx+a, y=mx-a
GEOMETRY Lesson 9: y=mx+c
GEOMETRY Lesson 10: CIRCLE Theorems
GEOMETRY Lesson 11: Similar Triangles & Circle Theorems
GEOMETRY Lesson 12: CIRCLES: Geometrical Problems Solved
GEOMETRY Lesson 13: Trigonometry: Half Angles

ADVANCED: An Overview [to change to Index of Advanced Topics]
QUADRATICS OVERVIEW: 
QUADRATICS LESSON 1: Finding the Roots
QUADRATICS LESSON 2: The DISCRIMINANT, D
QUADRATICS LESSON 3: a>0, a<0, Alpha & Beta
QUADRATICS LESSON 4: Lowest point on Axis 
QUADRATICS LESSON 5: b,c>0, b,c<0; Axis & Sign of Roots
QUADRATICS LESSON 6: a,b,c>0, a,b,c<0; all combinations
QUADRATICS LESSON 7: Sum & Product of Roots
QUADRATICS LESSON 8: a,b,c,D>0 or <0; all combinations
QUADRATICS LESSON 9: Quadratic Inequality; f(x); f(p)
QUADRATICS LESSON 10: IIT level solved examples 1
QUADRATICS LESSON 11: IIT level solved examples 2
QUADRATICS LESSON 12: IIT level solved examples 3
QUADRATICS LESSON 13: IIT level solved examples 4

STRAIGHT LINES OVERVIEW: 
STRAIGHT LINES LESSON 1: x/a + y/b = 1
STRAIGHT LINES LESSON 2: Rotate a Square & an Equilateral Triangle
STRAIGHT LINES LESSON 3: Equilateral Triangles
STRAIGHT LINES LESSON 4: IIT level questions solved examples 1
STRAIGHT LINES LESSON 5: IIT level questions solved examples 2
STRAIGHT LINES LESSON 6: IIT level questions solved examples 3
STRAIGHT LINES LESSON 7: IIT level questions solved examples 4


This site will be continually updated. So keep an eye on additional pages as the days go by. 


ARITHMETIC

Lesson 1: A Story of Numbers

ALGEBRA

GEOMETRY,
TRIGONOMETRY &
COORDINATE GEOMETRY

Lesson 1: Right Angled Triangle
Lesson 2: Rt Angled Triangle in Circle
​Lesson 3: RAT & Coordinate Geometry
​Lesson 4: RAT & Equilateral Triangle
Lesson 5: EQT & Coordinate Geometry
Lesson 6: Straight Lines y=x  & y=mx
Lesson 7: Straight Lines y=2x & y=x/2
Lesson 8: Straight Lines y=x+1, y=x-1
Lesson 9: Straight Lines y=mx, 0<m<1,m>0
Lesson 10: Circles Theorems
Lesson 11: Similar Triangles & Circles 
Lesson 12: Solved Examples in Geometry



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