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It’s a branch of math that deals with symbols and the rules for utilizing those symbols.

**Branches of Algebra:**

- Elementary Algebra or Algebra 1
- Advanced Algebra
- Abstract Algebra
- Linear Algebra
- Universal Algebra
- Commutative Algebra
- Inequalities
- Quadratic Equations
- Rational Expressions
- Polynomials
- Matrices

It’s a branch of math that deals with the study of numbers using basic & advanced operations.

**Arithmetic Basic Operations:**

- Natural Numbers
- Even & Odd Numbers
- Laws of exponents
- Multiplication and division
- Decimals
- Comparing Fractions
- Percentages
- Ratios and Proportion
- Like and Unlike Fractions
- Surds
- Sum of n terms
- Integers
- Geometric Sequence
- Fundamental Theorem
- Fraction to decimal
- Variable
- Number Line
- Whole Number
- Even and odd numbers
- Word problems on Decimals
- Integers on a number line
- Absolute Values
- Complex Numbers
- Radicals
- Fraction
- Number Patterns
- Basic Operations

**Arithmetic Advanced Operations:**

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- Computation of percentages
- Logarithmic functions
- Exponentiation
- Square roots

** **It’s a branch of math that involves the study of rates of change.

- Differential Calculus
- Integral Calculus
- Derivatives
- Limits and Continuity
- Vector Calculus
- Surface Integral
- Integration
- Mean Value Theorem
- Trapezoidal Rule
- Chain Rule
- Cauchy Riemann Equations
- L Hospital Rule
- Derivative of Inverse Trigonometric Function
- Integrating Factor
- Riemann Integral
- Simpson’s Rule
- Multivariable Calculus
- Definite Integrals
- Differentiating Exponential Functions
- Derivative Functions
- Differentiating Logarithmic Functions
- Fundamental Theorem Calculus
- Differentiation Polynomial and Exponential
- Linearization and Differentials
- Integral Equation
- Sequences
- Exponents
- Logarithm
- Sequences series
- Limit Laws
- Limits At Infinity
- Continuity of Functions
- Maximum and Minimum

It’s a branch of math that defines relation from a set of inputs to a set of possible outputs.

- Linear Function
- Power Function
- Quadratic Function
- Polynomial Function
- Rational function
- Exponential function
- Logarithmic Function
- Sinusoidal Function
- Piecewise Functions
- Graph Theory
- Bessel Function
- Hyperbolic functions

** **It’s a branch of math that studies the sizes, shapes, positions, angles and dimensions of things. Popular topics under Geometry are:

- Lines
- Area and Distance
- Angles
- Shapes
- Coordinate Geometry
- Area and Perimeter
- volume and Surface Area
- Pythagorean Theorem
- Transformations
- Congruence
- Similarity
- 3D Shapes

Measurement relates to measuring the size of something. Here are a few key topics and concepts related to measurement:

- Length
- Time
- Temperature
- Mass
- Luminous Intensity
- Electric Current

Number system is related to the writing system to express numbers using digits. Some key topics under number system are:

- Number Line
- Integers
- Fractions
- Decimals
- Natural & Whole Numbers
- Rational & Irrational numbers
- HCF
- LCM
- BODMAS
- Cubes and Squares of Numbers

It’s a branch of math that deals with collection, analysis, insights and presentations of large quantities of data.

- Mean
- Median
- Mode
- Range
- Scatter Plots & Correlation
- Histograms
- Table-Plots
- Regression-Correlation
- Estimation

Surface area is about the total area of the faces of a 3 – dimensional object. Examples of 3-d objects listed below:

- Surface area of a Cuboid
- Surface area of a Cube
- Surface area of a Cylinder
- Surface area of a Right Circular Cone
- Surface area of a Sphere

Trigonometry means measures of three sides and their relationship with angles. It is mostly used in right angled triangles.

- Trigonometric Ratios (Sin, Cos, Tan)
- Six Trigonometric Functions
- Trigonometric Angles
- Trigonometry Table
- Unit Circle
- Trigonometry Formulas
- Trigonometric identities
- Graphs of sin(x), cos(x), and tan(x)
- Differentiating Trigonometric Functions

Volume is the amount of space taken up by an object. Volume is measured in cubic units.

- Volume of a Cuboid
- Volume of a Cube
- Volume of a Cylinder
- Volume of a Right Circular Cone
- The volume of a Sphere
- Volume of Hemisphere
- Volume of Combined Solids

**Other Core Math Homework Topics**

- Mathematical Modelling
- Discrete-Math
- Logic
- Applied Math
- Radians To Degrees
- Complementary Angles
- Area of a Rectangle
- Degrees to Radians
- 30-60-90 Triangles
- Completing The Square
- Trapezoid
- Distance formula
- Law of Sines
- Area of a Triangle
- Coefficient
- How many feet in a meter
- Area of Trapezoid
- Perimeter
- Domain and Range
- Corresponding Angles
- Perpendicular Lines
- Equation of a Circle

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