# Course: Bangladesh • Higher Mathematics • Classes Nine-Ten

• Chapter 1 Set and Function
• Set
• Function
• Chapter 2 Algebraic Expression
• Variable, Constant and Polynomial
• Polynomial of One Variable
• Polynomials of Two Variables
• Polynomial of Three Variables
• Multiplication and Division of Polynomial
• Division Algorithm
• Equality Rule of Polynomials
• Remainder and Factor Theorems
• Converse of Factor Theorem
• Homogeneous, Symmetric and Cyclic Expressions
• Resolve into Factors of Cyclic Polynomials
• Rational Fractions
• Partial Fractions
• Chapter 3 Geometry
• Review of the Theorem of Pythagoras
• Theorems about Circles and Triangles
• Chapter 4 Geometric Constructions
• Some Constructions Involving Triangles
• Some Constructions Involving Circles
• Chapter 5 Equation
• Quadratic Equations of One Variable and Their Solutions
• Indicial Equation
• System of Quadratic Equations with Two Variables
• Applications of Simultaneous Quadratic Equations
• System of Indicial Equations with Two Variables
• Solving Quadratic Equation Using Graph
• Chapter 6 Inequality
• Concept of Inequality
• Application of Inequalities
• Linear Inequality with Two Variables
• Graph of Inequalities with Two Variables
• Chapter 7 Infinite Series
• Sequences
• Series
• Infinite Series
• Partial Sum of Infinite Series
• Sum of Infinite Geometric Series
• Transformation of Repeating (or Recurring) Decimals in Rational Fractions
• Chapter 8 Trigonometry
• Angles in Geometry and in Trigonometry
• Measurement of Angles
• Trigonometric Ratios (Trigonometric Ratios)
• Trigonometric Ratios of Many Angles
• Chapter 9 Exponential and Logarithmic Function
• Rational and Irrational Exponents
• Laws of Exponents
• Explanation of the Root
• Rational Fractional Exponents
• Logarithm
• Exponential, Logarithmic and Absolute Value Functions
• Graphs of Function
• Chapter 10 Binomial Expansion
• Binomial Expansion of (1 + 𝑦)^𝑛
• Binomial Expansion of (𝑥 + 𝑦)^𝑛
• Chapter 11 Coordinate Geometry
• Rectangular Cartesian Coordinates
• Distance between Two Points
• Area of Triangles
• Gradient or Slope of a Straight Line
• Equation of Straight Lines
• Chapter 12 Planar Vector
• Scalar and Vector Quantities
• Equivalence of Vectors and Opposite Vector
• Subtraction of Vectors
• Zero Vector
• Scalar Multiple of a Vector
• Distribution Laws Concerning Scalar Multiples of Vectors
• Position Vector
• Chapter 13 Solid Geometry
• Basic Concepts
• Some Elementary Definition
• Relation between Two Straight Lines
• Axioms
• Relation between a Straight Line and a Plane
• Relation between Two Planes
• Solid
• Volume and Area of Surface of Uniform Solids
• Chapter 14 Probability
• Basic Concepts Related to Probability

Use Nagwa in conjunction with your preferred textbook. The recommended lessons from Nagwa for each section of this textbook are provided below. This course is not affiliated with, sponsored by, or endorsed by the publisher of the referenced textbook. Nagwa is a registered trademark of Nagwa Limited. All other trademarks and registered trademarks are the property of their respective owners.