
Gratuit

XSIQ

23 Heures

Evaluation

Certification

Academic  Secondary  Level 1

50 Pts
Differentiation and Functions in Mathematics

Description

Résultats

Certification

This intermediate math course continues our maths suite of courses. It covers rules and applications of differentiation, straight line graphs, graphing circular functions, logs and indices, the Binomial theorem, inverse functions, and factors of polynomials. This course is ideal for secondlevel students, anyone studying for an exam, and those interested in reigniting their knowledge of mathematics!

After completing this course you will be more familiar with the basic functions of differential calculus, the rules of differentiation, linear combinations of functions, quotient of two functions and much more. You will gain a good knowledge of the applications of differentiation such as maximum, minimum and equations of tangents. You will know what the polynomial function is used for and how to factorise polynomials successfully. This course will demonstrate how to use straight line and circular functions on a graph successfully.You will have a good understanding inverse functions, logarithms, index laws and the binomial theorem of Pascal's Triangle.

All Alison courses are free to study. To successfully complete a course you must score 80% or higher in each course assessments. Upon successful completion of a course, you can choose to make your achievement formal by purchasing an official Alison Diploma, Certificate or PDF.
Having an official Alison document is a great way to celebrate and share your success. It is: Ideal to include with CVs, job applications and portfolios
 A way to show your ability to learn and achieve high results
Liste des Modules( 9 )

Module
1 Rules of differentiation
Rules of differentiation This free online course covers topics related to differentiation such as the rules of differentiation and how to calculate derivatives. 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 functions
Démarrez Topic

Functions
Démarrez Topic

Rules of differentiation
Démarrez Topic

Rules for finding derivatives
Démarrez Topic

Linear combination of functions
Démarrez Topic

Product of two functions
Démarrez Topic

Quotient of two functions
Démarrez Topic

Function of a function
Démarrez Topic


Module
2 Applications of differentiation
Applications of differentiation This free online course covers applications of differentiation such as calculating the stationary points, and the maxima and minima points. 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.

Applications of Differentiation
Démarrez Topic

Stationary Points
Démarrez Topic

Maximum or Minimum
Démarrez Topic

Maximum/Minimum Problems
Démarrez Topic

Equations of Tangents and Normals
Démarrez Topic

Examples
Démarrez Topic


Module
3 Factors of polynomials
Factors of polynomialsThis free online course is an introduction to the techniques used to factorise cubic and quadratic polynomials.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.

Factorising polynomials
Démarrez Topic

Polynomial notation and function manipulations
Démarrez Topic

Factorising polynomials
Démarrez Topic

Factorisation process for cubics
Démarrez Topic

Factorisation process for quartics
Démarrez Topic

Factor and remainder theorems
Démarrez Topic

Long division
Démarrez Topic

Synthetic division
Démarrez Topic

Factorising polynomials: example
Démarrez Topic


Module
4 Straight line graphs
Straight line graphs This free online course covers topics related to straight line graphs including graphs for polynomial functions and transformations. 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
Démarrez Topic

Graphs of polynomial functions: the garden activity
Démarrez Topic

Introduction
Démarrez Topic

Graphs of polynomial functions
Démarrez Topic

Graphs derived from standard graphs
Démarrez Topic

Other standard graphs
Démarrez Topic

Certain special graphs
Démarrez Topic

Transformations
Démarrez Topic

Reflections
Démarrez Topic

Dilations
Démarrez Topic

Combinations of transformations
Démarrez Topic

Addition of ordinates
Démarrez Topic

Important graphs
Démarrez Topic

Important graphs: Type 1
Démarrez Topic

Important graphs: type 2
Démarrez Topic

Important graphs: type 3
Démarrez Topic

Important graphs: type 4
Démarrez Topic

Graphs of inverse functions
Démarrez Topic

Graphs of polynomial functions: examples
Démarrez Topic


Module
5 Graphs of circular functions
Graphs of circular functionsThis free online course is an introduction to the equations used for graphs of circular forms.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
Démarrez Topic

Graphs of the form y=Asin(a(x+b))+B and y=Acos(a(x+b))+B
Démarrez Topic

Solution of trigonometric equations
Démarrez Topic

Graphs of the form y = tan(ax)
Démarrez Topic

Equations of the form sin(ax)=B and cos(ax)=B
Démarrez Topic

Equations of the form sin(ax)=kcos(ax)
Démarrez Topic


Module
6 Inverse functions
Inverse functionsThis free online course is an introduction to inverse functions.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.

Inverse functions  manytoone and onetomany
Démarrez Topic

Inverse functions
Démarrez Topic

Further inverse functions
Démarrez Topic

Examples
Démarrez Topic


Module
7 Logarithms and index laws
Logarithms and index laws This free online course is an introduction to logarithms and index 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.

Indices and logarithms
Démarrez Topic

Solution of exponential and logarithmic equations
Démarrez Topic

Examples
Démarrez Topic


Module
8 The binomial theorem
The binomial theorem This free online course is an introduction to the binomial theorem. 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.

Binomial theorem – Pascal's triangle
Démarrez Topic

The binomial expansion
Démarrez Topic

The binomial expansion  examples
Démarrez Topic


Assessment