Fundamental Mathematics/Arithmetic
Numbers[edit | edit source]
Natural number A non-negative integer. Also referred to as counting numbers. , Even number A number which can be divided by 2 without remainder. Odd number A number which cannot be divided by 2 without remainder. Prime number A number above 1 which can only be divided by 1 and itself without remainder. Integer A signed whole number. Fraction Complex Number A number made up of real and imaginary numbers. Imaginary Number
Operations[edit | edit source]
Mathematical Operations on arithmetic numbers
Mathematical Operation Symbol Example Addition Subtraction Multiplication Division Exponentiation Root Logarithm Natural Logarithm
Expressions[edit | edit source]
An expression is a mathematical construct which evaluates to something. , , and are all expressions.
Further reading[edit | edit source]
Order of operations[edit | edit source]
Order of performing mathematical operation on expressions are as follows
- Evaluate expressions within parenthesis {}, [] , ()
- Exponentiation.
- Multiply and divide, from left to right.
- Add and subtract, from left to right.
Example
- (parenthesis)
- (exponentiation)
- (addition)
- (exponentiation)
- (addition)
Further reading[edit | edit source]
Coordinate system[edit | edit source]
Cartesian coordinates[edit | edit source]
Polar coordinates[edit | edit source]
Real number coordination[edit | edit source]
A point in XY co ordinate can be presented as () and () in R θ co ordinate
- A , () , ()
Scalar maths Vector Maths
Complex number coordination[edit | edit source]
Functions[edit | edit source]
Definition[edit | edit source]
Functions are an arithmetical expression which relates 2 variables. Functions are usually denoted as
meaning for any value of there is a corresponding value where
- - independent variable.
- - dependent variable.
- - function of .
Graphs of functions[edit | edit source]
x -2 -1 0 1 2 f(x) -2 -1 0 1 2
- Straight line passing through origin point (0,0) with slope equals 1
x -2 -1 0 1 2 f(x) -4 -2 0 2 4
- Straight line passing through origin point (0,0) with slope equals 2
x -2 -1 0 1 2 f(x) -1 1 3 5 7
- Straight line with slope equals 2 has x intercept (-3/2,0) and y intercept (0,3)
Types of functions[edit | edit source]
- Polynomial Function
- Arithmetic Function/Trigonometric Functions
- Arithmetic Function/Exponential Functions
- Logarithmic Functions
Operations on function[edit | edit source]
- Arithmetic Operation/Limit
- Arithmetic Operation/Rate of change
- Arithmetic Operation/Differentiation
- Arithmetic Operation/Integration
Further reading[edit | edit source]
Equations[edit | edit source]
An equation is an expression of a function of a variable that has a value equal to zero
Equations can be solved to find the value of a variable that satisfies the equation. The process of finding this value is called root finding. All values of a variable that make its function equal to zero are called roots of the equation.
Examples[edit | edit source]
- Equation .
- Root .
- is the root of the equation since substitution the value of x in the equation we have
Types of equations[edit | edit source]
- Polynomial Equation
- Differential Equation
- Partial Differential Equation
- Linear equation
- System of linear equations
Further reading[edit | edit source]
Further reading[edit | edit source]
Go to the School of Mathematics |