
Free Course

Advance Learning

610 Hours

Assessment

Certification

Academic  Third Level  Level 1

250 Pts
Foundation Diploma in Mathematics  Science, Technology and Engineering

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 or Certificate.
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
Modules List( 11 )

FOUNDATION DIPLOMA IN MATHEMATICS  SCIENCE, TECH...

Module
1 Introduction to Mathematics
Introduction to Foundation Level maths in Science, Technology and Engineering.

Large Numbers in Standard Form
Start Topic

Changing Decimals to Standard Form
Start Topic

Changing Large Numbers from Standard Form
Start Topic

Changing Small Numbers from Standard Form
Start Topic

Working with Indices
Start Topic

Positive Fractional Indices  All Types
Start Topic

Negative Fractional Indices
Start Topic


Module
2 Algebra
Learn more about algebra.

Rearranging Simple Formulae
Start Topic

Rearranging Simple Formulae – 2 Steps
Start Topic

Solving Simultaneous Equations Graphically
Start Topic

Expanding any Two Brackets
Start Topic

Factorising Quadratics
Start Topic

Factorising – Difference of Two Squares
Start Topic

Equations With Linear Functions in the Denominator
Start Topic

Quadratic Equations Both Brackets the Same Sign
Start Topic

Quadratic Equations Brackets With Different Signs
Start Topic

Quadratic Equations Using the Formula
Start Topic

Use of the Discriminant
Start Topic

Equations with Indices
Start Topic

Logarithmic Equations
Start Topic


Module
3 Equations, Functions and Graphs
Learn more about equations, functions and graphs.

Plotting Quadratic Graphs From a Table of Values
Start Topic

Plotting Cubic Graphs From a Table of Values
Start Topic

Plotting Reciprocal Graphs From Table of Values
Start Topic


Module
4 Calculus
Learn more about calculus.

Basic differentiation of y = x^n
Start Topic

Differentiation of Polynomials
Start Topic

The Product Rule
Start Topic

The Quotient Rule
Start Topic

The Chain Rule
Start Topic

Second Derivative
Start Topic

Differentiation and Turning Points
Start Topic

Differentiation of Logarithms
Start Topic

Basic Integration
Start Topic

The Integral Sign
Start Topic

Harder Integration
Start Topic

Definite Integration
Start Topic

Area Between Lines
Start Topic


Module
5 Probability and Binomial Distribution
Learn more about probability and the Binomial distribution.

Arrangements
Start Topic

Arrangements and Selections
Start Topic

The Binomial Distribution
Start Topic


Module
6 Foundation Diploma in Mathematics  Science, Technology Engineering: First Assessment
You must score 80% or more to pass this assessment.

Foundation Diploma in Mathematics  Science, Technology and Engineering  First Assessment
Start Topic


Module
7 Matrices 
Module
8 Trigonometry
Learn more about trigonometry.

Finding Angles With the Sine Ratio
Start Topic

Finding Sides With the Sine Ratio
Start Topic

Finding Angles With the Cosine Ratio
Start Topic

Finding Sides With the Cosine Ratio
Start Topic

Finding Angles With the Tangent Ratio
Start Topic

Finding Sides With the Tangent Ratio
Start Topic

Introducing Radians
Start Topic

Using Radians to Find the Area of a Sector
Start Topic

Solving Trigonometric Equations
Start Topic

Finding a Missing Side With the Sine Rule
Start Topic

Finding a Missing Angle With the Sine Rule
Start Topic

Finding Areas with Trigonometry
Start Topic

Problem Solving With the Cosine Rule
Start Topic


Module
9 Complex Numbers
Learn more about complex numbers.

The Argand Diagram and Modulus
Start Topic

The meaning of i
Start Topic

Manipulating Complex Numbers
Start Topic

Writing Complex Numbers in Polar Form
Start Topic

Complex Numbers When solving Quadratic Equations
Start Topic

Multiplying and Dividing in Polar Form (Ex)
Start Topic

Proof of DeMoivre’s Theorem
Start Topic


Module
10 Foundation Diploma in Mathematics  Science, Technology Engineering: Second Assessment
You must score 80% or more to pass this assessment.

Foundation Diploma in Mathematics  Science, Technology and Engineering  Second Assessment
Start Topic


END OF COURSE ASSESSMENT

Module
11 Foundation Diploma in Mathematics  Science, Technology Engineering: Final Assessment
You must score 80% or more to pass this assessment.

Foundation Diploma in Mathematics  Science, Technology and Engineering  Final Assessment
Start Topic
