Equation, Formulae & Theorem of Mathematics Version 2.0 (Certificate
Level) First Edition
Content
| Content | 01 | 02 | 03 | 04 | 05 | 06 | 07 | 08 | 09 | 10 | 11 |
Page 01
1. Basic Concept [G] [A]
- 1.1
Laws of Rational Indices [G] [A]
- 1.2
Some Algebraic Identites [G] [A]
- 1.3
Definition & Properties of Logarithms [G] [A]
- 1.4
Definition & Properties of Absolute Values [A]
2. Quadratic Equation [G] [A]
- 2.1
Completing Square Method [G] [A]
- 2.2
Quadratic Formulae [G] [A]
- 2.3
Discriminant [G] [A]
- 2.4
Relation between Roots and Coefficients [G] [A]
- 2.5
Maximum and Minimum Values [G] [A]
3. Trigonometric [G] [A]
- 3.1
Radian Measure [G] [A]
- Page 02
- 3.2
The Six Trigonometric Functions [G] [A]
- 3.3
Trigonometric Relations
[G] [A]
3.4
Trigonometric Functions [G] [A]
3.5
Graphs of Trigonometric Functions [A]
3.6
Compound Angles Formulae [A]
3.7
T-Formulae [A]
Page 03
3.8
Formulae for General Solution [A]
4. Geometry
[G]
[A]
- 4.1
Basic Theorem
[G] [A]
4.2
Circles [G] [A]
Page 04
4.3
Arc Length and Area of Sector [G] [A]
4.4
Area of Triangles [G] [A]
4.5
Sine Formulae [G] [A]
4.6
Cosine Formulae [G] [A]
4.7
Different Forms of Equation of a Straight Lines [G] [A]
4.8
Distance Between Two Points [G] [A]
4.9
Coordinates of Mid-Point [G] [A]
Page 05
4.10
Point of Division [G] [A]
4.11
Angle between Two Straight Lines [G] [A]
4.12 Slopes of
Parallel and Perpendicular Lines [G] [A]
4.13
Normal Form [G] [A]
4.14
Distance Formal [G] [A]
4.15
Family of Straight Lines [G] [A]
4.16
Congruent, Similar, Isosceles and Equilateral Triangles [G]
[A]
4.17
Parallelograms [G] [A]
Page 06
4.18
Mensuration [G] [A]
5. Conics [G] [A]
- 5.1
Tangents and Normals to a Curve
[A]
5.2
Equation of a Circle [G] [A]
5.3
Tangents to a Circle at P(x1, y1) [G] [A]
5.4
Length of Tangent from an External Point P(x1, y1)
to the Circle C: x2+y2+Dx+Ey+F=0
[G] [A]
5.5
Intersection of Two Circles [G] [A]
5.6
Common Chord [G] [A]
5.7
Family of Chord [G] [A]
5.8
Family of Circles [G] [A]
5.9
Parabola [A]
5.10
Parametric Equation of Parabola [A]
Page 07
5.11
Ellipse [A]
5.12
Parametric Equation of Ellipse [A]
5.13
Hyperbola [A]
5.14
Asymptotes of the Hyperbola [A]
5.15
Parametric Equations of Hyperbola [A]
5.16
General Equation of Conics [A]
5.17
Equation of Tangents to Conics at P(x1, y1) [A]
6. Binomial Theorem
[A]
- 6.1
Binomial Theorem
[A]
6.2
Factorials [A]
6.3
Pascal Triangle [A]
7. Arithmetic and Geometric Sequences [G]
- 7.1
Arithmetic Sequences [G]
- 7.2
Geometric Sequences [G]
8. Differentiation & Integration
[A]
-
8.1 Properties of Limits [A]
-
8.2 Limit at Infinity [A]
- Page 08
- 8.3
The Derivative of Function [A]
- 8.4
Basic Theorems of Differentiation [A]
- 8.5
The Chain Rule [A]
- 8.6
Differentiation of Parametric Equations and Inverse Functions [A]
- 8.7
Higher Derivatives [A]
- 8.8
An Important Limit on Sine Function [A]
- 8.9
Derivatives of Trigonometric Function [A]
- 8.10
Rates of Change [A]
- 8.11
Approximation and Estimation of Errors [A]
-
8.12 Applications of Definite Integrals [A]
Page 09
9. Vectors [A]
- 9.1
Operations of Vectors at
ŁGABC
[A]
9.2
Scalar Multiplication [A]
9.3
Section Formula [A]
9.4
Representation of Vectors in a Rectangular Coordinate Plane [A]
Page 10
9.5
Scalar Product of Two Vectors [A]
9.6
Position Vectors in the Rectangular Coordinate Plane [A]
9.7
The Unit Vector [A]
10. Complex Number [A]
- 10.1 The
Complex Number [A]
- 10.2
Polar Form [A]
- 10.3
Properties of Conjugates [A]
- 10.4 De
Moivre
ˇ¦s Theorem [A]
11. Reminder Theorem [G] [A]
12. Statistics [G]
- 12.1
Measures of Dispersion [G]
- Page 11
- 12.2
Standard Score [G]
- 12.3
Normal Distribution [G]
13. Probability [G]
- [G] for General Mathematics
- [A] for Additional Mathematics
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- Equation, Formulae & Theorem of Mathematics Version 2.0 First Edition
April, 2000
Martin.T
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