# Math-Major

### Math-Major

"YourCloudCampus" Mathematics offers Maths Major subject in which students will take fundamental Coursework in Calculus, Linear algebra, Probability, Statistics, Quadratics, Angles, Circle Theorem, Graphs, Equations, Trignometry, Volume & Surface Area, Linear Sequences, Vectors, Matrices, Percentages, Inequalities, Surds & Indices and Related Words problems. This platform provides Experienced and Well Reputed Qualified Teachers covering the students of  all over the World Mainly GCSE, IGCSE, AS & A levels, Australian Standard Curriculum of Multiple States, Key Stages 3 4 & 5 Students, FBISE for overseas Saudians and much more...

### Key Contents Detailed Description:

Percents

• Convert between percents, fractions and decimals
• Solve percent equations
• Percent word problems
• Percent of change
• Percent of change: word problems
• Simple interest
• Compound interest
• Percent of a number: GST, discount and more
• Find the percent: discount and mark-up
• Multi-step problems with percents

Geometry

•   Perimeter
•   Area
•   Area of compound figures
•   Area between two shapes
•   Interior angles of polygons
•   Transversal of parallel lines
•   Volume of cylinders
•   Volume
•   Surface area
•   Congruent figures: side lengths and angle measures
•   Similar figures: side lengths and angle measures
•   Similar triangles and indirect measurement
•   Dilations and scale factors
•   Area and perimeter of similar figures
•   Similar solids
•   Volume and surface area of similar solids
•   Perimeter, area and volume: changes in scale
•   Pythagoras' theorem
•   Pythagoras' theorem: word problems
•   Converse of Pythagoras' theorem: is it a right triangle?
•   Special right triangles

Trigonometry

• Trigonometric ratios: sin, cos and tan
•  Trigonometric ratios: csc, sec and cot
•  Find trigonometric functions of special angles
•  Find trigonometric functions using a calculator
•  Inverses of trigonometric functions
•  Trigonometric ratios: find a side length
•  Trigonometric ratios: find an angle measure
•  Solve a right triangle
•  Trigonometric ratios in similar right triangles

Data and graphs

• Interpret bar graphs, line graphs and histograms
• Create bar graphs, line graphs and histograms
• Interpret circle graphs
• Interpret stem-and-leaf plots
• Interpret box-and-whisker plots
• Interpret a scatter plot
• Scatter plots: line of best fit

Matrices

• Matrix vocabulary
• Matrix operation rules
• Multiply a matrix by a scalar
• Linear combinations of matrices
• Multiply two matrices
• Simplify matrix expressions
• Properties of matrices
• Solve matrix equations
• Determinant of a matrix
• Is a matrix invertible?
• Inverse of a matrix
• Identify inverse matrices
• Solve matrix equations using inverses

• Complete a function table: quadratic functions
• Match quadratic functions and graphs
• Solve a quadratic equation using square roots
• Solve a quadratic equation using the zero product property
• Solve a quadratic equation by factorising
• Complete the square
• Using the discriminant

Introduction to derivatives

• Average rate of change I
• Average rate of change II
• Find instantaneous rates of change
• Velocity as a rate of change
• Find values of derivatives using limits
• Find the gradient of a tangent line using limits
• Find equations of tangent lines using limits
• Sum and difference rules
• Power rule I
• Power rule II
• Find derivatives of polynomials

Derivative rules

•  Sum and difference rules
•  Product rule
•  Quotient rule
•  Power rule I
•  Power rule II
•  Chain rule
•  Inverse function rule

Functions

• Domain and range
• Identify functions
• Find the gradient of a linear function
• Graph a linear function
• Write the equation of a linear function
• Linear functions over unit intervals
• Complete a function table: absolute value functions
• Graph an absolute value function
• Evaluate functions
• Find values using function graphs
• Complete a table for a function graph
• Add, subtract, multiply and divide functions
• Composition of functions
• Identify inverse functions
• Find values of inverse functions from tables
• Find values of inverse functions from graphs
• Find inverse functions and relations

Probability

•  Introduction to probability
•  Calculate probabilities of events
•  Combinations and permutations
•  Find probabilities using combinations and permutations
•  Find probabilities using two-way frequency tables
•  Identify independent events
•  Find conditional probabilities
•  Independence and conditional probability
•  Find conditional probabilities using two-way frequency tables
•  Find probabilities using the addition rule

Statistics

•  Identify biased samples
•  Variance and standard deviation
•  Identify an outlier
•  Identify an outlier and describe the effect of removing it
•  Outliers in scatter plots
•  Match correlation coefficients to scatter plots
•  Calculate correlation coefficients
•  Find the equation of a regression line
•  Interpret regression lines
•  Analyse a regression line of a data set
•  Analyse a regression line using statistics of a data set
•  Find confidence intervals for population means
•  Find confidence intervals for population proportions
•  Interpret confidence intervals for population means

Two-dimensional vectors

• Find the magnitude of a vector
• Find the direction angle of a vector
• Find the component form of a vector
• Find the component form of a vector from its magnitude and direction angle
• Find a unit vector
• Multiply a vector by a scalar
• Find the magnitude or direction of a vector scalar multiple
• Find the magnitude and direction of a vector sum
• Linear combinations of vectors
• Graph a resultant vector using the triangle method
• Graph a resultant vector using the parallelogram method

Three-dimensional vectors

• Find the magnitude of a three-dimensional vector
• Find the component form of a three-dimensional vector
• Find a three-dimensional unit vector
• Add and subtract three-dimensional vectors
• Scalar multiples of three-dimensional vectors
• Linear combinations of three-dimensional vectors

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