# Math-Major

“YourCloudCampus” Mathematics offers Math’s 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:**

**Percent’s**

⦁ 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