Foundation Diploma in Mathematics  Science, Technology and Engineering  Revised
Learn the Math skills you need to apply for a STEM subject at third level and make your future career a success.
Description
This diploma course will give you the mathematical knowledge and skills you need to study a Science, Technology, or Engineering discipline at thirdlevel. The course consists of simple Maths tutorial videos in which qualified Math teachers resolve problems in realtime. You will also receive comprehensive assessment tests on all aspects of Mathematics which are related to Science, Technology and Engineering.
The course covers a wide range of essential Math topics in a clear stepbystep manner. You will start by learning about fractional indices, simple formulae, and simultaneous equations. Next, you will get a full runthrough of quadratic equations, quotients, and differentiation, which are key Math topics for any STEM career. This will pave the way for more advanced lessons covering radians, arrangements, and complex numbers. This will give you a solid grounding for any STEM discipline at third level.
By the end of this course, your Math skills will have greatly improved, and will encompass the core Math topics of Algebra, Equations and Functions, Calculus, Probability and Statistics, Calculus, Matrices, Trigonometry and Complex Numbers. This knowledge will open up a wide range of highly paid careers, making a real difference to your life. So get started today, and in less than 2 weeks you'll have given your career development a real boost.
Start Course NowModules
Introduction to Mathematics

Introduction to Mathematics  Learning Outcomes

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

Introduction to Mathematics  Lesson Summary
Algebra

Algebra  Learning Outcomes

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

Algebra  Lesson Summary
Equations, Functions and Graphs

Equations, Functions and Graphs  Learning Outcomes

Plotting Quadratic Graphs From a Table of Values

Plotting Cubic Graphs From a Table of Values

Plotting Reciprocal Graphs From Table of Values

Equations, Functions and Graphs  Lesson Summary
Calculus

Calculus  Learning Outcomes

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

Calculus  Lesson Summary
Probability and Binomial Distribution

Probability and Binomial Distribution  Learning Outcomes

Arrangements

Arrangements and Selections

The Binomial Distribution

Probability and Binomial Distribution  Lesson Summary
Foundation Diploma in Mathematics  Science, Technology and Engineering  First Assessment
Matrices

Matrices  Learning Outcomes

Basic Information About Matrices

How to Operate With Matrices

Determinants

Using Matrices When Solving System of Equations

Matrices  Lesson Summary
Trigonometry

Trigonometry  Learning Outcomes

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

Trigonometry  Lesson Summary
Complex Numbers

Complex Numbers  Learning Outcomes

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

Complex Numbers  Lesson Summary
Foundation Diploma in Mathematics  Science, Technology and Engineering  Second Assessment
Course assessment
Learning Outcomes
Having completed this course you will be able to:
 Calculate how to change Small and Large Numbers from Standard Form
 Demonstrate how to work with Indices
 Identify how to apply differentiation rules
 Identify how to apply integration rules
 Demonstrate how to factorise quadratic and cubic equations
 Recognise how to work with plotting quadratic and cubic graphs
 Identify how to working with matrices
 Recognise how to use and solve trigonometric ratios
 Identify how to work with trigonometric rules
 Demonstrate how to solve equations using complex numbers
Certification
All Alison courses are free to enrol, study and complete. To successfully complete this Diploma course and become an Alison Graduate, you need to achieve 80% or higher in each course assessment. Once you have completed this Diploma course, you have the option to acquire an official Diploma, which is a great way to share your achievement with the world. Your Alison Diploma is:
Ideal for sharing with potential employers  include it in your CV, professional social media profiles and job applications
An indication of your commitment to continuously learn, upskill and achieve high results
An incentive for you to continue empowering yourself through lifelong learning
Alison offers 3 types of Diplomas for completed Diploma courses:
Digital Diploma  a downloadable Diploma in PDF format, immediately available to you when you complete your purchase
Diploma  a physical version of your officially branded and securitymarked Diploma, posted to you with FREE shipping
Framed Diploma  a physical version of your officially branded and securitymarked Diploma in a stylish frame, posted to you with FREE shipping
All Diplomas are available to purchase through the Alison Shop. For more information on purchasing Alison Diplomas, please visit our FAQs. If you decide not to purchase your Alison Diploma, you can still demonstrate your achievement by sharing your Learner Record or Learner Achievement Verification, both of which are accessible from your Dashboard. For more details on our Diploma pricing, please visit our Pricing Page.