
Description

Outcome

Certification

This free diploma course provides students with the mathematical knowledge and skills needed to study a Science, Technology or Engineering discipline at thirdlevel. The course consists of maths tutorial videos in which qualified maths teachers resolve problems in realtime. Furthermore, a comprehensive assessment tests students on all aspects of mathematics which are related to science, technology and engineering. This course will appeal to thirdlevel students who are lacking confidence in their mathematical knowledge and skills. This course will also appeal to students who are reentering formal education after a significant absence. This diploma course will help to build students’ confidence in their mathematical ability and ensure that they are prepared for thirdlevel study. The topics covered in this course are, Introduction to Mathematics, Algebra, Equations and Functions, Calculus, Probability and Statistics, Calculus, Matrices, Trigonometry and Complex Numbers.

After completing this course students will understand and be skilled in the following mathematics topics:
 Large Numbers in Standard Form;
 Changing Decimals to Standard form;
 Changing Large Numbers from Standard Form;
 Changing Small Numbers from Standard Form;
 Working with Indices;
 Positive Fractional Indices  All Types;
 Negative Fractional Indices;
 Rearranging Simple Formulae;
 Rearranging Simple Formulae – 2 Steps;
 Solving Simultaneous Equations Graphically;
 Expanding any Two Brackets;
 Factorising Quadratics;
 Factorising – Difference of Two Squares;
 Equations With Linear Functions in the Denominator;
 Quadratic Equations Both Brackets the Same Sign;
 Quadratic Equations Brackets With Different Signs;
 Quadratic Equations Using the Formula;
 Use of the Discriminant;
 Equations with Indices;
 Logarithmic Equations;
 Plotting Quadratic Graphs from a Table of Values;
 Plotting Cubic Graphs from a Table of Values;
 Plotting Reciprocal Graphs from Table of Values;
 Basic Differentiation of Differentiation of Polynomials;
 The Product Rule;
 The Quotient Rule;
 The Chain Rule;
 Second Derivative;
 Differentiation and Turning Points;
 Differentiation of Logarithms;
 Basic Integration;
 The Integral Sign;
 Harder Integration;
 Definite Integration;
 Area between lines;
 Arrangements;
 Arrangements and Selections;
 The Binomial Distribution;
 Basic Information About Matrices;
 How to Operate With Matrices;
 Determinants;
 Using Matrices When Solving System of Equations;
 Finding Angles With the Sine Ratio;
 Finding Sides With the Sine Ratio;
 Finding Angles With the Cosine Ratio;
 Finding Sides With the Cosine Ratio;
 Finding Angles With the Tangent Ratio;
 Finding Sides With the Tangent Ratio;
 Introducing Radians;
 Using Radians to Find the Area of a Sector;
 Solving Trigonometric Equations;
 Finding a Missing Side With the Sine Rule;
 Finding a Missing Angle With the Sine Rule;
 Finding Areas with Trigonometry;
 Problem Solving With the Cosine Rule;
 The Argand Diagram and Modulus;
 The meaning of i;
 Manipulating Complex Numbers;
 Writing Complex Numbers in Polar Form;
 Complex Numbers when solving Quadratic Equations;
 Multiplying and Dividing in Polar Form (Ex);
 Proof of DeMoivre’s Theorem. 
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 share your success. Plus it’s: Ideal for including in CVs, job applications and portfolios
 An indication of your ability to learn and achieve high results
 An incentive to continue to empower yourself through learning
 A tangible way of supporting the Alison mission to empower people everywhere through education.