12
Modules
114
Topics
2-3
hours
Modules (12)
Resources ()
-
Module 1
Successfully completing mathematics exams
Resources availableSuccessfully completing mathematics exams This free online course covers how to answer questions in examinations. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.Introduction
Start TopicLook for key words
Start TopicCheck level of accuracy
Start TopicWhat form should the answer take?
Start TopicDon't waste time on work that is not assessed
Start TopicUse all the information provided in the question
Start TopicWork out the solution before you look at the answers
Start TopicRationalise or realise denominators
Start TopicEssential skills you need to brush up on before the exams
Start TopicDecide on the order you answer questions
Start TopicTiming of questions
Start TopicSetting out
Start TopicDon't panic
Start TopicIf you are stuck
Start TopicGuessing
Start TopicLearning pattern questions
Start TopicLearning pattern questions: graphs
Start TopicLearning pattern questions: complex numbers
Start TopicLearning pattern questions: differentiation
Start TopicLearning pattern questions: integration
Start TopicLearning pattern questions: vectors
Start Topic -
Module 2
Common exam mistakes
Resources availableCommon exam mistakes This free online course covers basic exam techniques such dividing by fractions and using negative signs. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.Basic algebra exam mistakes
Start TopicUsing correct notation in exams
Start TopicDividing by fractions
Start TopicNegative signs
Start TopicApplying half remembered rules incorrectly
Start Topic -
Module 3
Differential equations
Resources availableDifferential equations This free online course covers topics related to differential equations such as first order and second order differential equations and rates of change . The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.Introduction
Start TopicOrder and degree of differential equations
Start TopicVerifying solutions
Start TopicRates of change
Start TopicRates of change - chain rule
Start TopicThe rates of change example
Start TopicFirst order differential equations - type 1
Start TopicFirst order differential equations - type 2
Start TopicSecond order differential equations
Start Topic -
Module 4
Second derivatives
Resources availableSecond derivatives This free online course covers the use of the second derivative. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.Introduction
Start TopicUse of the second derivative
Start TopicExamples
Start TopicSecond derivatives
Start Topic -
Module 5
Kinematics
Resources availableKinematics This free online course covers topics related to kinematics such as velocity and acceleration. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.Introduction
Start TopicFinding displacement from velocity
Start TopicSolving differential equations (rectilinear motion) example
Start TopicFinding acceleration or velocity from displacement
Start TopicConstant acceleration - introduction
Start TopicConstant acceleration - example 1
Start TopicVelocity time graphs - introduction
Start TopicFinding the acceleration from the velocity time graph
Start TopicFinding the distance travelled from a velocity time graph
Start TopicVelocity time graphs - example
Start TopicConstant acceleration - example 2
Start Topic -
Module 6
Motion
Resources availableMotion This free online course covers topics related to motion such as motion under a constant force and motion under a variable force. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.Introduction
Start TopicNewton's laws of motions
Start TopicForces-weight
Start TopicDiagram of forces
Start TopicBasic equation of motion
Start TopicResolution of forces
Start TopicHorizontal and vertical
Start TopicEquations of motion
Start TopicParallel and perpendicular to a plane
Start TopicEquations of motion
Start TopicMoving down the slope
Start TopicConnected masses
Start TopicMotion under a constant force
Start TopicMotion under a constant force - example 1
Start TopicMotion under a constant force - example 2
Start TopicMotion under a variable force
Start TopicMotion under a variable force - example 1
Start TopicMotion under a variable force - example 2
Start TopicMotion under a variable force - example 3
Start TopicMomentum and impulse
Start TopicMomentum and impulse example
Start TopicMoving up the slope
Start TopicMotion under a constant force - example 1 continued
Start TopicForces-normal reaction
Start TopicForces-friction
Start TopicForces-tension
Start Topic -
Module 7
Advanced Mathematics: Problems
Resources availableAdvanced Mathematics: Problems This free online course covers topics such as chemical concentrations and chemical reactions. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.Activity
Start TopicUsing differential equations
Start TopicNewton's laws of cooling
Start TopicGrowth and decline
Start TopicChemical concentrations
Start TopicWater flow from a hole in a tank
Start TopicChemical reactions
Start TopicExample 1
Start TopicExample 2
Start TopicExample 3
Start TopicExample 4
Start TopicExample 5
Start TopicExample 6
Start TopicEuler's method for solution of differential equations
Start TopicEuler's example 1
Start TopicEuler's example 2
Start Topic -
Module 8
Resolution of forces
Resources availableResolution of forces This free online course covers topics related to resolution of forces such as static friction, and angle of friction. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.Introduction
Start TopicResolution of forces
Start TopicThree forces
Start TopicStatic friction
Start TopicAngle of friction
Start Topic -
Module 9
Vectors
Resources availableVectors This free online course covers topics related to vectors such as parametric equations The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.Position vectors as functions of time (Parametric Equations)
Start TopicFinding cartesian equations from parametric equations
Start TopicExample 1
Start TopicExample 2
Start TopicCollision
Start TopicExample 3
Start TopicUsing a graphic calculator with parametric equations
Start TopicUsing a graphic calculator with two parametric equations to show a collision
Start TopicThe closest distance to a path
Start TopicExample 4
Start Topic -
Module 10
Vectors 2
Resources availableVectors 2 This free online course covers the differentiation and antidifferentiation of vectors. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.The garden activity
Start TopicNotation used in vector calculus
Start TopicDifferentiation and anti differentiation of vectors
Start TopicExample 1
Start TopicExample 2
Start Topic -
Module 11
Glossary
Resources availableGlossary This free online course is a glossary of mathematical terms. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.Glossary
Start Topic -
Assessment
Resources available