
Free Course

Advance Learning

610 Hours

Assessment

Certification

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

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


Module
2 Algebra
Learn more about algebra.

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


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

Plotting Quadratic Graphs From a Table of Values

Plotting Cubic Graphs From a Table of Values

Plotting Reciprocal Graphs From Table of Values


Module
4 Calculus
Learn more about calculus.

Basic differentiation of y = x^n

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


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

Arrangements

Arrangements and Selections

The Binomial Distribution


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


Module
7 Matrices
Learn more about matrices.

Basic Information About Matrices

How to Operate With Matrices

Determinants

Using Matrices When Solving System of Equations


Module
8 Trigonometry
Learn more about trigonometry.

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


Module
9 Complex Numbers 
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


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
