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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