School Books of Afghanistan. Math Grade Eleven 11.

This Book include:

Chapter 1: Sections of Conic

• Ellipse
• Parabola
• Hyperbola

Chapter 2: Trigonometry

• Law of sine
• Law of cosine
• Law of tangent
• Trigonometry identities
• Trigonometric equation

Chapter 3: Plane Geometry

– Basic geometric concepts
– Angles and their measurement
– Triangles and their types
– Quadrilaterals and parallelograms
– Circles, chords, and tangents
– Similarity and congruence
– Areas of plane figures

Chapter 4: Synonyms

Chapter 5: Logarithms

– Exponential functions
– Logarithm functions
– Common logarithm
– Natural logarithm
– Laws of logarithms
– Logarithmic equations
– Linearization using logarithms

Chapter Six: Matrices

* Matrix
* Types of matrices
* Addition and subtraction of matrices
* Multiplication of a matrix by a scalar
* Multiplication of two matrices
* Transpose of a matrix
* Determinants
* Properties of determinants
* Multiplication of 2×2 matrices
* Using determinants to solve systems of linear equations
* Solving linear systems using the Cramer’s Rule method
* Solving equations using the Gaussian (Gouse) method
* Important exercises of chapter six
* Chapter six questions

Chapter Seven: Vectors

* Introduction to the concept of vectors
* Representation of vectors by magnitude and direction
* Vector in plane and space
* Properties of vectors in three-dimensional space
* Components of a vector along axes or coordinates
* Scalar product (dot product) of vectors
* Vector product (cross product) of vectors
* Important exercises of chapter seven
* Chapter seven questions

Chapter 8: Statistics

– Data and frequency tables
– Measures of central tendency
– Frequency distribution and class intervals
– Bar graphs
– Histograms
– Frequency polygons
– Line graphs
– Word problems
– Exercises

Chapter 9: Probability

– Permutations and combinations
– Combination formulas
– Transformation
– Probability of two events
– Word problems
– Exercises

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