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