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. Topics in this module: Basic functions Functions Rules of differentiation Rules for finding derivatives Linear combination of functions Product of two functions Quotient of two functions Function of a function

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. Topics in this module: Applications of Differentiation Stationary Points Maximum or Minimum Maximum/Minimum Problems Equations of Tangents and Normals Examples

Factors of polynomials

• Factors of polynomials This 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. Topics in this module: Factorising polynomials Polynomial notation and function manipulations Factorising polynomials Factorisation process for cubics Factorisation process for quartics Factor and remainder theorems Long division Synthetic division Factorising polynomials: example

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. Topics in this module: Activity Graphs of polynomial functions: the garden activity Introduction Graphs of polynomial functions Graphs derived from standard graphs Other standard graphs Certain special graphs Transformations Reflections Dilations Combinations of transformations Addition of ordinates Important graphs Important graphs: Type 1 Important graphs: type 2 Important graphs: type 3 Important graphs: type 4 Graphs of inverse functions Graphs of polynomial functions: examples

Graphs of circular functions

• Graphs of circular functions This 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. Topics in this module: Introduction Graphs of the form y=Asin(a(x+b))+B and y=Acos(a(x+b))+B Solution of trigonometric equations Graphs of the form y = tan(ax) Equations of the form sin(ax)=B and cos(ax)=B Equations of the form sin(ax)=kcos(ax)

Inverse functions

• Inverse functions This 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. Topics in this module: Inverse functions - many-to-one and one-to-many Inverse functions Further inverse functions Examples

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. Topics in this module: Indices and logarithms Solution of exponential and logarithmic equations Examples

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. Topics in this module: Binomial theorem – Pascal's triangle The binomial expansion The binomial expansion - examples

Assessment

• Assessment Topics in this module: Intermediate Mathematics 1 Assessment

Forum

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