## Math-Major

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#### Description

### 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
- Add and subtract matrices
- 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

**Quadratic functions**

- Characteristics of quadratic functions
- Complete a function table: quadratic functions
- Transformations of quadratic functions
- Find a quadratic function
- Graph a quadratic function
- 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
- Solve a quadratic equation using the quadratic formula
- 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
- Add and subtract vectors
- 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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