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Course / Course Details

upper sixth pure Mathematics with statistics

  • High School Mathematics image

    By - High School Mathematics

  • 5 students
  • 166 Hours 40 Min
  • (0)

Course Requirements

Upper-Sixth Mathematics with Statistics is a rigorous and comprehensive course designed to provide students with a deep understanding of advanced mathematical concepts and their applications in mechanics. This course is intended for students who have successfully completed Lower-Sixth Mathematics and are seeking to further develop their mathematical skills and knowledge. Throughout the course, students will explore various topics such as advanced calculus, differential equations, vectors, kinematics, dynamics, and statics. Emphasis will be placed on developing problem-solving skills and applying mathematical principles to real-world scenarios. To successfully complete Upper-Sixth Mathematics with Mechanics, students are required to attend all lectures, actively participate in class discussions, complete assigned readings, and engage in regular problem-solving exercises. 

Course Description

 UPPER-SIXTH MATHEMATICS WITH STATISTICS course is designed to provide students with an advanced understanding of mathematics and mechanics at the upper-sixth level. Through a comprehensive curriculum, students will delve into the intricate world of mathematical principles and their application in the field of mechanics. This course aims to equip students with the necessary skills and knowledge to excel in higher-level mathematics and mechanics, preparing them for further studies in engineering, physics, or related disciplines. 

Course Outcomes

Course Outline: UPPER-SIXTH MATHEMATICS WITH Statistics I. Introduction - Overview of the course - Importance of studying Upper-Sixth Mathematics with Mechanics - Goals and objectives II. Mechanics Fundamentals - Introduction to mechanics - Newton's laws of motion - Forces and motion - Equilibrium of particles - Work, energy, and power - Linear momentum and collisions III. Kinematics - One-dimensional motion - Projectile motion - Circular motion - Relative motion IV. Dynamics - Newton's second law - Frictional forces - Uniform circular motion - Centripetal force - Gravitational forces V. Statics - Equilibrium of rigid bodies - Moments and couples - Center of mass and centroid - Stability of equilibrium VI. Linear Motion - Linear motion with constant acceleration - Free fall and terminal velocity - Motion in a vertical circle VII. Circular Motion - Angular velocity and acceleration - Torque and rotational equilibrium - Rotational dynamics - Moment of inertia VIII. Oscillations and Waves - Simple harmonic motion - Damped and forced oscillations - Wave motion - Standing waves IX. Mathematical Methods - Vectors and vector algebra - Differentiation and integration techniques - Differential equations in mechanics X. Practical Applications - Application of mechanics principles in real-life scenarios - Engineering applications - Case studies and problem-solving exercises XI. Assessment and Evaluation - Grading criteria - Types of assessments (exams, quizzes, projects) - Weightage of each assessment - Evaluation methods XII. Resources and References - Recommended textbooks and study materials - Online resources and references - Additional reading materials and references Please note that this is a general course outline and may be subject to modifications based on specific curriculum requirements and teaching methodology.

Course Curriculum

  • 18 chapters
  • 472 lectures
  • 196 quizzes
  • 166 Hours 40 Min total length
Toggle all chapters
1 The Radian Measure
7 Min


2 The Radian Measure [Quiz]
N/A


3 The unit vector in the direction of a given vector
4 Min


4 The unit vector in the direction of a given vector [Quiz]
N/A


5 The Area of segment
7 Min


6 The Area of segment [Quiz]
N/A


7 The Area of sector
5 Min


8 The Area of sector [Quiz]
N/A


9 Multiplication of a vector by a matrixmp4
5 Min


10 Multiplication of a vector by a matrixmp4 [Quiz]
N/A


11 Introduction to circle theorems
5 Min


12 Introduction to circle theorems [Quiz]
N/A


13 Completing the Square Method
10 Min


14 Completing the Square Method [Quiz]
N/A


15 Introduction to Circles and Parts of Circles
3 Min


16 Introduction to Circles and Parts of Circles [Quiz]
N/A


17 Division of surds
5 Min


18 Division of surds [Quiz]
N/A


19 Complementary angles
6 Min


20 Complementary angles [Quiz]
N/A


21 special case on the normal form of complexe numbers
4 Min

special case on the normal form of complexe numbers


22 Special Cases on the Properties of -i-
4 Min

Special Cases on the Properties of -i-


23 The second quadrant
4 Min

The second quadrant


24 The second quadrant [Quiz]
N/A


25 the polar or trigonometric form of complex numbers
5 Min

the polar or trigonometric form of complex numbers


26 The polar or trigonometric form of complex numbers [Quiz]
N/A


27 The nth root of complex numbers
4 Min

The nth root of complex numbers


28 The nth root of complex numbers [Quiz]
N/A


29 The first quadrant
4 Min

The first quadrant


30 The first quadrant [Quiz]
N/A


31 The exponential form of complex numbers
4 Min

the exponential form of complex numbers


32 The exponential form of complex numbers [Quiz]
N/A


33 The argument of complex numbers
5 Min

The argument of complex numbers


34 The argument of complex numbers [Quiz]
N/A


35 Special types of calculations of arguements in the first quadrant
3 Min

Special types of calculations of arguements in the first quadrant


36 Special types of calculations of arguments in the first quadrant [Quiz]
N/A


37 special case on problems with regards to exponential form of writing complexe numbers
4 Min

special case on problems with regards to exponential form of writing complexe numbers


38 Special case on problems with regards to exponential form of writing complexe numbers [Quiz]
N/A


39 Special case on the properties of -i- [Quiz]
N/A


40 Special Case On the Newton Raphsons Method
4 Min

Special Case On the Newton Raphsons Method


41 Special case on the multiplication of Complex Numbers
4 Min

Special case on the multiplication of Complex Numbers


42 Special Case on the division of Complex Numbers
3 Min

Special Case on the division of Complex Numbers


43 Special Case on Equality of complex numbers
4 Min

Special Case on Equality of complex numbers


44 special case on the moivres theorem
4 Min

special case on the moivres theorem


45 Special Case on the Location of roots
4 Min

Special Case on the Location of roots


46 special case on roots of complexe numbers
4 Min

special case on roots of complexe numbers


47 special case on second property of argument
5 Min

special case on second property of argument


48 Special Case On the Modullus Of Complex Numbers
3 Min

Special Case On the Modullus Of Complex Numbers


49 special case on luci on an argan diagram
6 Min

special case on luci on an argan diagram


50 special case on interval bisection
3 Min

special case on interval bisection


51 Special Case on Complex Conjugates
4 Min

Special Case on Complex Conjugates


52 special case on argan diagram
4 Min

special case on argan diagram


53 special case on the normal form of complexe numbers [Quiz]
N/A


54 Special case of the third property of argument
3 Min

Special case of the third property of argument


55 special case on luci on an argan diagram
6 Min

special case on luci on an argan diagram


56 Other types Of Problems Involving Location of roots
3 Min

Other types Of Problems Involving Location of roots


57 Special case of acquiment in the second quadrant
4 Min

Special case of acquiment in the second quadrant


58 Roots of complex numbers
4 Min

Roots of complex numbers


59 Properties of Conjugates
5 Min

Properties of Conjugates


60 Properties of i
6 Min

Properties of i


61 Problems on the Properties of -i-
5 Min

Problems on the Properties of -i-


62 Problems involving the first quadrant
3 Min

Problems involving the first quadrant


63 Polynomial Equations
5 Min

Polynomial Equations


64 Other Types of Problems Involving Modulule of Complex Numbers
3 Min

Other Types of Problems Involving Modulule of Complex Numbers


65 other types of problems involving luci on an argan diagram
5 Min

other types of problems involving luci on an argan diagram


66 Other types of Problems involving Equality of Complex Numbers
4 Min

Other types of Problems involving Equality of Complex Numbers


67 other types of calculations on the exponential fom of complexe numbers
3 Min

other types of calculations on the exponential fom of complexe numbers


68 other types of calculations on the exponential form of complexe numbers
3 Min

other types of calculations on the exponential form of complexe numbers


69 Other Types of Calculations Involving Division of complex numbers
3 Min

Other Types of Calculations Involving Division of complex numbers


70 Other types of calculations involving Addition And Subtraction of Complex Numbers
3 Min

Other types of calculations involving Addition And Subtraction of Complex Numbers


71 Other types of Calculations involving the interval Bisection Method
3 Min

Other types of Calculations involving the interval Bisection Method


72 other type of calculations associated with on De moivres theorem
6 Min

other type of calculations associated with on De moivres theorem


73 Other type of calculations involving the Multiplication of Complex Numbers
3 Min

Other type of calculations involving the Multiplication of Complex Numbers


74 Other problems involving graphical method of coming out with approximate solutions
7 Min

Other problems involving graphical method of coming out with approximate solutions


75 Other Calculations Involving Neuteralson's Method
3 Min

Other Calculations Involving Neuteralson's Method


76 more calculations on the luci of an argand diagram
5 Min

more calculations on the luci of an argand diagram


77 other types of calculations involving roots of complex numbers
4 Min

other types of calculations involving roots of complex numbers


78 Numerical Methods (Ways And Methods
3 Min

Numerical Methods (Ways And Methods


79 normal form of complex numbers
3 Min

normal form of complex numbers


80 Newton Ralphson method
4 Min

Newton Ralphson method


81 Multiplication of Complex Numbers
6 Min

Multiplication of Complex Numbers


82 More Calculation on division of Complex Numbers
4 Min

More Calculation on division of Complex Numbers


83 more calculations on the Nth root of complex numbers
7 Min

more calculations on the Nth root of complex numbers


84 More Calculations (Quadratic)
3 Min

More Calculations (Quadratic)


85 More Calculations on the modullus of complex Numbers
3 Min

More Calculations on the modullus of complex Numbers


86 more calculations on the argand diagram
6 Min

more calculations on the argand diagram


87 More Calculations on Equality of complex Numbers
4 Min

More Calculations on Equality of complex Numbers


88 more calculations on De moivre's theorem
4 Min

more calculations on De moivre's theorem


89 More Calculations of Complex Conjugates
4 Min

More Calculations of Complex Conjugates


90 More Calculations involving the graprical method of coming up with approximate solutions
7 Min

More Calculations involving the graprical method of coming up with approximate solutions


91 more calculation on the exponential form of complexe numbers
4 Min

more calculation on the exponential form of complexe numbers


92 More Calculation on Multiplication of Complex Numbers
4 Min

More Calculation on Multiplication of Complex Numbers


93 More Calculation on Addition And Subtraction Of Complex Numbers
3 Min

More Calculation on Addition And Subtraction Of Complex Numbers


94 More Calculation Involving Location of roots
5 Min

More Calculation Involving Location of roots


95 Modullus of Complex Numbers
4 Min

Modullus of Complex Numbers


96 Location of roots
6 Min

Location of roots


97 luci on an argan diagram
4 Min

luci on an argan diagram


98 Introduction to the Interval Bisection Method of Finding Roots
3 Min

Introduction to the Interval Bisection Method of Finding Roots


99 Introduction to Complex Numbers
6 Min

Introduction to Complex Numbers


100 Existence of roots
6 Min

Existence of roots


101 Graphical Method Of Locating roots
3 Min

Graphical Method Of Locating roots


102 Equality of Complex Numbers
3 Min

Equality of Complex Numbers


103 Division Of Complex Numbers
6 Min

Division Of Complex Numbers


104 De moivre's theorem
3 Min

De moivre's theorem


105 Continuation of problems on the graphical method of Finding Approximate solutions
7 Min

Continuation of problems on the graphical method of Finding Approximate solutions


106 Complex Conjugates
4 Min

Complex Conjugates


107 calculations on argan diagrams
4 Min

calculations on argan diagrams


108 calculations which has to do with the polar form
4 Min

calculations which has to do with the polar form


109 Calculations on the Moivre's Theorem
8 Min

Calculations on the Moivre's Theorem


110 calculations on roots of a complexe number
5 Min

calculations on roots of a complexe number


111 Calculations on Multiplication Of Complex Numbers
3 Min

Calculations on Multiplication Of Complex Numbers


112 Calculations on Modullus of Complex Numbers
3 Min

Calculations on Modullus of Complex Numbers


113 Calculations on equality of complex Numbers
3 Min

Calculations on equality of complex Numbers


114 Calculations on equality of complex Numbers
3 Min

Calculations on equality of complex Numbers


115 calculations involving a Loci on an argan diagram
6 Min

calculations involving a Loci on an argan diagram


116 Calculations on Division Of Complex Numbers
4 Min

Calculations on Division Of Complex Numbers


117 Calculations on Division Of Complex Numbers
4 Min

Calculations on Division Of Complex Numbers


118 Calculation involving Complex Conjugates
4 Min

Calculation involving Complex Conjugates


119 Calculations involving the Graphical Method of Aprroximate Solutions
5 Min

Calculations involving the Graphical Method of Aprroximate Solutions


120 calculations involving the exponential form of writting complexe numbers
5 Min

calculations involving the exponential form of writting complexe numbers


121 Calculations Involving Location of Roots
3 Min

Calculations Involving Location of Roots


122 calculation on 3rd property of arqument
4 Min

calculation on 3rd property of arqument


123 Calculation Involving The Interval Bisection Method
4 Min

Calculation Involving The Interval Bisection Method


124 argand diagram
3 Min

argand diagram


125 Approximate Solutions
4 Min

Approximate Solutions


126 Addition and Subtraction of Complex Numbers
4 Min

Addition and Subtraction of Complex Numbers


127 A loci of a circle
7 Min

A loci of a circle


128 3rd quadrant
3 Min

3rd quadrant


129 3rd property of argument
3 Min

3rd property of argument


130 trigonometric form of complexe numbers
5 Min

trigonometric form of complexe numbers


131 Special case on Addition and Subtraction of Complex Numbers
3 Min

Special case on Addition and Subtraction of Complex Numbers


132 special case on problems with regards to exponential form of writting complexe numbers
4 Min

special case on problems with regards to exponential form of writting complexe numbers


133 The Circumference of a Circle_1 edited
6 Min


134 The Circumference of a Circle_1 edited [Quiz]
N/A


1 calculations which has to do with the polar form
4 Min


2 calculations which has to do with the polar form [Quiz]
N/A


3 Calculations involving Newton Raphson's Method
6 Min


4 Calculations involving Newton Raphson's Method [Quiz]
N/A


5 The second Quadrant
4 Min


6 The second Quadrant [Quiz]
N/A


7 The Radian Measure
7 Min


8 The Radian Measure [Quiz]
N/A


9 The polar or trigonometric form of complex numbers
5 Min


10 the polar or trigonometric form of complex numbers [Quiz]
N/A


11 The nth root of complex numbers
4 Min


12 The nth root of complex numbers [Quiz]
N/A


13 The first quadrant
4 Min


14 The first quadrant [Quiz]
N/A


15 The exponential form of complex numbers
4 Min


16 The exponential form of complex numbers [Quiz]
N/A


17 The argument of complex numbers
5 Min


18 The argument of complex numbers [Quiz]
N/A


19 Special types of calculations of arguements in the first quadrant
3 Min


20 Special types of calculations of arguements in the first quadrant [Quiz]
N/A


21 Special Cases on the Properties of -i-
4 Min


22 Special Cases on the Properties of -i- [Quiz]
N/A


23 special case on the normal form of complexe numbers
4 Min


24 special case on the normal form of complexe numbers [Quiz]
N/A


25 Special Case On the Newton Raphsons Method
5 Min


26 Special Case On the Newton Raphsons Method [Quiz]
N/A


27 Special case on the multiplication of Complex Numbers
4 Min


28 Special case on the multiplication of Complex Numbers [Quiz]
N/A


29 special case on the moivres theorem
4 Min


30 special case on the moivres theorem [Quiz]
N/A


31 Special Case On the Modullus Of Complex Numbers
3 Min


32 Special Case On the Modullus Of Complex Numbers [Quiz]
N/A


33 Special Case on the Location of roots
4 Min


34 Special Case on the Location of roots [Quiz]
N/A


35 Special Case on the division of Complex Numbers
3 Min


36 Special Case on the division of Complex Numbers [Quiz]
N/A


37 special case on second property ofargument
5 Min


38 special case on second property ofargument [Quiz]
N/A


39 special case on roots of complexe numbers
4 Min


40 special case on roots of complexe numbers [Quiz]
N/A


41 special case on problems with regards to exponential form of writting complexe numbers
4 Min


42 special case on problems with regards to exponential form of writting complexe numbers [Quiz]
N/A


43 special case on luci on an argan diagram
6 Min


44 special case on luci on an argan diagram [Quiz]
N/A


45 special case on interval bisection
3 Min


46 special case on interval bisection [Quiz]
N/A


47 Special Case on Equality of complex numbers
4 Min


48 Special Case on Equality of complex numbers [Quiz]
N/A


49 more calculations on the luci of an argand diagram
5 Min

more calculations on the luci of an argand diagram


1 Introduction to circle theorems.m4v
5 Min


N/A


3 Introduction to circle theorems.m4v [Quiz]
N/A


4 Introduction to Circles and Parts of Circles.m4v
5 Min


N/A


6 Introduction to Circles and Parts of Circles.m4v [Quiz]
N/A


7 The Circumference of a Circle
5 Min


N/A


9 The Circumference of a Circle_1 edited.m4v [Quiz]
N/A


10 Equations of the circle - Given centre and radius
5 Min


11 Given coordinates of the ends of a diameter
5 Min


N/A


13 Passing through three given points.
5 Min


14 Intersection of a straight line with a circle
5 Min


N/A


16 Equation of a tangent to a circle
5 Min


17 Length of a tangent from external point to a circle
5 Min


N/A


19 Intersecting circles
5 Min


N/A


21 Condition for two circles to touch
5 Min


22 Orthogonal circles
5 Min


N/A


24 Radical axis of two circles.
5 Min


25 The equation of a circle through the points of intersection of two given circles and a given point
5 Min


N/A


N/A


N/A


1 Types of data.
5 Min


N/A


3 Tabular and graphical representation of data
5 Min


N/A


5 Measure of central tendency
5 Min


N/A


7 Measure of dispersion
5 Min


N/A


9 Combined mean and combined variance for two or more samples
5 Min


N/A


11 Weighted means (e.g. index numbers)
5 Min


N/A


1 Determination of an interval
5 Min


N/A


3 Graphical method of solving equations
5 Min


N/A


5 The Newton - Raphson process
5 Min


N/A


7 Any other iterative process, including the interval bisection or midpoint method and the method of Linear interpolation or Chord method.
5 Min


N/A


1 Solution of simple first order differential equations (involving polynomial, trigonometric, exponential and logarithmic functions) with variables that can be separated
5 Min


N/A


1 Definite integral
5 Min


N/A


3 Simple applications of integration to calculate:  area of plane  volumes of solids of revolution,  centroidsand centres of mass
5 Min


N/A


5 Approximations to definite integrals using the trapezium rule
5 Min


N/A


1 Subtraction of Vectors.m4v
5 Min


N/A


3 Subtraction of Vectors [Quiz]
N/A


4 Multiplication of a vector by a matrix
5 Min


N/A


6 Multiplication of a vector by a matrix [Quiz]
N/A


7 The unit vector in the direction of a given vector.m4v
5 Min


N/A


9 The unit vector in the direction of a given vector.m4v [Quiz]
N/A


10 Equations of planes
5 Min


11 Different forms of the equation of a plane
5 Min


N/A


13 Lines and planes
5 Min


14 Intersection of a line and a plane
5 Min


N/A


16 Angle between two planes
5 Min


17 Intersection of two planes
5 Min


N/A


19 Perpendicular distance of a point from a plane
5 Min


N/A


1 Introduction to the Complex Number System
5 Min


N/A


3 The imaginary number i and its algebra
5 Min


N/A


5 Complex Numbers
5 Min


N/A


7 Complex conjugate
5 Min


N/A


9 The Argand Diagram
5 Min


N/A


11 Geometrical representation of a complex numbers
5 Min


N/A


13 Addition and subtraction of complex numbers
5 Min


N/A


15 Product and Quotient of Complex Numbers
5 Min


N/A


17 Multiplication and Division in Polar form
5 Min


N/A


19 simple equations and expansions
5 Min


N/A


21 Modulus-Argument (Polar) form of a complex Number
5 Min


N/A


23 Modulus and Argument of a Complex Number.
5 Min


N/A


25 Complex roots of a polynomial equation
5 Min


N/A


27 Square root of complex Numbers:
5 Min


N/A


29 Equality of Complex Numbers
5 Min


N/A


31 Geometrical representation of sums, products and quotients of complex numbers
5 Min


N/A


33 The nth roots of unity -Cube roots of a complex number
5 Min


N/A


1 Scatter diagram
5 Min


2 Scatter diagram [Quiz]
N/A


3 Regression function *Linear correlation and regression lines
5 Min


4 Regression functions *linear correlation and regression line [Quiz]
N/A


5 Least square regression lines
5 Min


6 Least square regression line [Quiz]
N/A


7 covariance
5 Min


8 Covariance [Quiz]
N/A


9 Regression coefficient
5 Min


10 Regression coefficient [Quiz]
N/A


11 calculating the equation of the least square regression lines
5 Min


12 Calculating the equation of the least square regression line [Quiz]
N/A


13 The product –moment correlation coefficient, r
5 Min


14 The product - moment correlation coefficient r [Quiz]
N/A


15 Relationship between regression coefficient and r
5 Min


16 Relationship between regression coefficient r [Quiz]
N/A


17 Minimum sum of squares of residuals
5 Min


18 Minimum sum of squares of residuals [Quiz]
N/A


19 Spearman’s coefficient of Rank correlation and its significance and limitations
5 Min


20 Spear man's rank correlation coefficient and its significance and limitations [Quiz]
N/A


21 Kendall’s Rank correlation coefficient, its use and limitations
5 Min


N/A


N/A


N/A


N/A


N/A


N/A


N/A


N/A


N/A


N/A


N/A


1 Definition of hypothesis and why test hypothesis
5 Min


2 Definition of hypothesis and why test hypothesis [Quiz]
N/A


3 The role of the null and alternative hypotheses in significance testing
5 Min


4 The role of Null and alternatives hypothesis in significant testing [Quiz]
N/A


5 Type I and Type II errors
5 Min


6 Type I and Type II errors [Quiz]
N/A


7 Significance level (critical values and critical regions)
5 Min


8 Significance level (critical values and critical regions) [Quiz]
N/A


9 Hypothesis of test procedure
5 Min


10 Hypothesis of test procedure [Quiz]
N/A


11 Significance testing of a hypothetical value for probability and for the mean of Poisson distribution
5 Min


12 Significance testing of a hypothetical value for probability and for the mean of poisson distribution [Quiz]
N/A


13 Significance testing for a population mean and the difference between two means using large scale(using central limit theorem)
5 Min


N/A


N/A


N/A


17 Significance testing for population mean and the difference between two mean using large scale(using central limit theorem) [Quiz]
N/A


1 Sampling with or without replacement from a finite population
5 Min


N/A


3 Sampling distribution of statistics
5 Min


N/A


5 Random sampling and random number tables
5 Min


N/A


7 Sampling of attributes
5 Min


N/A


9 Sampling from an infinite population
5 Min


N/A


11 The sample mean
5 Min


N/A


13 The distribution of the sample mean
5 Min


N/A


15 The central limit theorem
5 Min


N/A


17 Sampling methods
5 Min


N/A


19 Estimation of population parameters
5 Min


N/A


21 Point estimation-unbiased estimator
5 Min


N/A


23 Most efficient estimator for the population parameters( mean and variance)
5 Min


N/A


25 Pooled estimation of population mean and population variance
5 Min


N/A


27 Interval estimation (confidence intervals)
5 Min


N/A


29 Confidence interval for the population mean, population variance known
5 Min


N/A


31 Confidence interval for the population mean, population variance unknown
5 Min


N/A


33 Confidence interval for the difference between two populations.
5 Min


N/A


1 The exponential distribution including its mean an variance
5 Min


N/A


3 The uniform or rectangular distribution
5 Min


N/A


5 mean and variance.
5 Min


N/A


7 The normal distribution
5 Min


N/A


9 probability density function
5 Min


N/A


11 Expectation and variance
5 Min


N/A


13 The standard normal variable and the use of the standard normal table to find probabilities for normally distributed variable
5 Min


N/A


15 The use of the normal distribution as:  an approximation of the binomial with application of continuity correction  an approximation of the Poisson distribution with the application of cont
5 Min


N/A


1 The Probability density function of a continuous random variable
5 Min


N/A


3 Expectation, variance and mode of a continuous discrete random variable
5 Min


N/A


5 The cumulative distribution function
5 Min


N/A


7 The median and the other quartiles
5 Min


N/A


1 The binomial distribution -mean and variance
5 Min


2 cumulative binomial probability tables
5 Min


3 The recurrence formula and calculation of the mode
5 Min


4 The uniform distribution and derivation of its expectation and variance
5 Min


5 The geometric distribution
5 Min


6 mean and variance
5 Min


7 The Poisson distribution
5 Min


8 mean and variance
5 Min


9 Unit interval
5 Min


10 use of the poisson distribution as an approximation of the binomial distribution
5 Min


11 cumulative Poisson probability table
5 Min


12 Distribution of two independent Poisson variables
5 Min


13 Relationship between probability distributions and frequency distributions
5 Min


N/A


N/A


N/A


N/A


N/A


N/A


N/A


N/A


N/A


N/A


N/A


N/A


N/A


1 Elementary notions of discrete probability distributions.
5 Min


N/A


3 The probability mass function (p.m.f) or probability density function (p.d.f) and the probability distribution.
5 Min


N/A


5 The expectation of a random variable E(X)
5 Min


N/A


7 The expectation of any function of X, E[g(x)]
5 Min


N/A


9 The properties of the expectation.
5 Min


N/A


11 The variance Var(X) of X and its properties
5 Min


N/A


13 The cumulative distribution function of a discrete random variable
5 Min


N/A


15 The mode and median of a discrete random variable
5 Min


N/A


17 Moment generating functions
5 Min


N/A


1 Probability terminology
5 Min


N/A


3 Empirical or experimental method of obtaining probabilities (tossing coins and dice, drawing cards...).
5 Min


N/A


5 Possibility space and probability space for such experiments
5 Min


N/A


7 Classical definition of probability
5 Min


N/A


9 Probability of an event
5 Min


N/A


11 Probability laws - Limit law (probability scale)
5 Min


N/A


13 Complementary events
5 Min


N/A


15 The occurrence of only one of two events
5 Min


N/A


17 Mutually exclusive events
5 Min


N/A


19 Exhaustive events
5 Min


N/A


21 Conditional probability
5 Min


N/A


23 Independent events and their applications
5 Min


N/A


25 Probability Trees
5 Min


N/A


27 Use of permutations and combinations to calculate probability Bayes’ theorem
5 Min


N/A


Instructor

High School Mathematics

Our High school mathematics Tutors plays a crucial role in equipping students with essential mathematical knowledge, problem-solving skills, and critical thinking abilities. 

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upper sixth French
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Upper-Sixth French course! Designed for students in their final year of high school, this advanced-level program offers...

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