Secondary Class 9 & 10 Higher Mathematics, 2023, NCTB, English
Today is our topic of discussion Secondary Class 9 & 10 Higher Mathematics, 2023, NCTB, English
Secondary Class 9 & 10 Higher Mathematics, 2023, NCTB, English
The aim of secondary education is to make the learners fits for entry into higher education by flourishing their latent talents and prospects with a view to building the nation with the spirit of the Language Movement and the Liberation War. To make the learners skilled and competent citizens of the country based on the economic, social, cultural and environmental settings is also an important issue of secondary education.
The textbooks of secondary level have been written and compiled according to the revised curriculum 2012 in accordance with the aims and objectives of National Education Policy-2010. Contents and presentations of the textbooks have been selected according to the moral and humanistic values of Bengali tradition and culture and the spirit of Liberation War 1971 ensuring equal dignity for all irrespective of caste and creed of different religions and sex.
Higher Mathematics contents
Chapter – 1: Set and Function
- Set and Function
- Set of Higher Mathematics
- Difference of Sets
- Disjoint Set
- Finite and Infinite Sets
- Set example
- Set exercises – 1.1
- Function of Higher Mathematics
- Inverse Function
- One-One Function
- Graphs of Relations and Functions
- Quadratic Function
- Function example
- Function exercises – 1.2
Chapter – 2 : Algebraic Expression
- Algebraic Expression
- Polynomial of One Variable
- Polynomial of two Variable
- Multiplication and Division of Polynomial
- Remainder and Factor Theorems
- Homogeneous, Symmetric and Cyclic Expressions
- Resolve into factors of cyclic polynomials
- Rational Fractions
- Algebraic Expression exercises – 2
- Algebraic Expression example
Chapter – 3: Geometry
- Geometry section
- Review of the Theorem of Pythagoras
- Some Important Theorems
- Theorems about Circles and Triangles
- The Circumcenter, Centroid and Orthocenter of a Triangle
- Geometry section exercises – 3.1
- Geometry section exercises – 3.2
- Geometry section example
Chapter – 4: Geometric Constructions
- Geometric Constructions
- Some Constructions Involving Circles
- Geometric Constructions exercises – 4
- Geometric Constructions example
Chapter – 5: Equation
- Concept of Equation
- Quadratic equations of one variable and their solutions
- Equations involving radicals
- Indicial Equation
- Applications equations of simultaneous quadratic
- Equation exercises – 5
- Equation example
Chapter – 6: Inequality
- Concept of Inequality
- Application of Inequalities
- Inequality exercises – 6.1
- Inequality exercises – 6.2
- Inequality example
Chapter – 7: Infinite Series
- Infinite Series
- Partial Sum of Infinite Series
- Infinite Series exercises – 7
- Infinite Series example
Chapter – 8: Trigonometry
- Concept of Trigonometry
- Angles in Geometry and in Trigonometry
- Positive and negative angle
- Measurement of Angles
- Circular measurement of angle
- Trigonometric Ratios
- Definition of ratios
- Trigonometric ratios of many angles
- Trigonometry exercises – 8.1
- Trigonometry exercises – 8.2
- Trigonometry exercises – 8.3
- Trigonometry example
Chapter – 9: Exponential and Logarithmic Function
- Exponential and Logarithmic Function
- Rational and Irrational Exponents
- Explanation of the Root
- Concept of Logarithm
- Logarithmic Function
- Graphs of Function
- Exponential and Logarithmic Function exercises – 9.1
- Exponential and Logarithmic Function exercises – 9.2
- Exponential and Logarithmic Function example
Chapter – 10: Binomial Expansion
- Binomial Expansion
- Binomial coefficient
- Binomial expansion
- Binomial Expansion exercises – 10.1
- Binomial Expansion exercises – 10.2
- Binomial Expansion example
Chapter – 11: Coordinate Geometry
- Coordinate Geometry
- Rectangular Cartesian Coordinates
- Distance between two points
- Area of triangles
- Gradient or slope of a straight line
- Equation of Straight Lines
- Coordinate Geometry exercises – 11.1
- Coordinate Geometry exercises – 11.2
- Coordinate Geometry exercises – 11.3
- Coordinate Geometry exercises – 11.4
- Coordinate Geometry example
Chapter – 12: Planar Vector
- Planar Vector
- Scalar and Vector Quantities
- Addition of Vectors
- Subtraction of vectors
- Laws of Vector Addition
- Position Vector
- Planar Vector exercises – 12
- Planar Vector example
Chapter – 13: Solid Geometry
- Solid Geometry
- Some Elementary Definition
- Relation between two straight lines
- Relation between two planes
- Solid Geometry exercises -13
- Solid Geometry example
Chapter – 14: Probability
- Concept of Probability
- Data Based Probability
- Probability exercises – 14
- Probability example
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