개요
Navigational Mathematics
목차
Basic Arithmetic
Algebra
- Basic Algebra Terms
- Polynomials
- Proof: Difference of two squares
- Proof: Perfect Square Trinomials
- Sum And Difference of 2 Cubes
- Guided Example: Multiplying Binomials
- Example: Factorising Polynomials
- Summary Practice: Factorising Polynomials
- Guided Example: Solving Quadratic Equations using Factorization
- Quiz: Solving Quadratic Equations by factorising.
- Solving Quadratic Equations using Quadratic Formula
- Multiply and Division of Fractions
- Practice: Addition and Substraction of Algebraic Fractions Ex1
- Exercise: Simplify Complex Fractions
Law of Indices
- Indices
- Product of Powers Law
- Power of a power law
- Division of Powers Law
- Solving Equations Involving Indices
- Practice with steps: Indices Equation types Ex 1
- Practice with Steps: Indices Equation Types Ex2
- Practice with steps: Indices Equation Types Ex3
- Practice with steps: Solving Indices Equation types Ex4
- Practice with steps:Solving Indices Equation types Ex 5
Using of straight line graphs
- Graph Equations
- Variables
- Identifying variables
- Graph of a Straight Line
- Gradient of a Straight Line
- The Y Intercept
- Vertical Line Graph
- Drawing a Graph using known equations
- Drawing a Straight Line Graph using known points
- Reading from the graph
- Lets do some practice
- Let's Do Some Practice
- Let's Do Some Practice
Trigonometry
- Definitions used in Trigonometry
- Proof: Pythagora's Theorem
- The 3 Main Trigonometric Ratios
- Proof: Law of Sines
- Exercise: Using Sine Rule Ex 1
- Exercise: Using Sine Rule Ex 2
- Proof: Law of Cosines
- Introduction: Radians
- Convert Radians to Degrees
- Basic Trig Functions of the Unit Circle
- Values of points on the Unit Circle
- CAST Rule
- Explore the Sine Function
- Explore the Cosine Function
- The Sine, Cosine, Tangent and the Unit Circle
Angles
Vectors
- Intoduction: Vectors
- Explore:Vectors
- Unit Vectors
- Vectors: Addition and Subtraction (Graphically)
- Vectors: Algebraic Representation
- Exercise: Vectors, Algebraic Representation
- Exercise: Vector Exercise Including Scalar Product
- Dot And Cross Products
- Explore: Dot Product
- 3 Dimensional Vectors
- Explore: Cross Product
Geometry
Trigo Identities
- The Pythagorean Identities
- Trigonometric Identity Explorer
- Proving Trigonometric Identities
- Solving Trigonometric Equations
- Deducing the Relationship: A sin x + B sin x= R cos (x+a)
- Asin(wt)+Bcos(wt)=Rsin(wt+a)
- Solving Trigonometric Equations in Harmonic Form
- Practice: Solve Trig Eqn in form of Acosx-Bsinx=C
- Practice: Solve Trig Eqns in form of Asinx-Bcos=C