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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 third-level. The course consists of simple Maths tutorial videos in which qualified Math teachers resolve problems in real-time. 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 step-by-step manner. You will start by learning about fractional indices, simple formulae, and simultaneous equations. Next, you will get a full run-through 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
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Introduction to Mathematics - Learning Outcomes
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Large Numbers in Standard Form
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Changing Decimals to Standard Form
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Changing Large Numbers from Standard Form
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Changing Small Numbers from Standard Form
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Working with Indices
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Positive Fractional Indices - All Types
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Negative Fractional Indices
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Introduction to Mathematics - Lesson Summary
Algebra
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Algebra - Learning Outcomes
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Rearranging Simple Formulae
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Rearranging Simple Formulae – 2 Steps
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Solving Simultaneous Equations Graphically
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Expanding any Two Brackets
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Factorising Quadratics
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Factorising – Difference of Two Squares
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Equations With Linear Functions in the Denominator
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Quadratic Equations Both Brackets the Same Sign
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Quadratic Equations Brackets With Different Signs
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Quadratic Equations Using the Formula
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Use of the Discriminant
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Equations with Indices
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Logarithmic Equations
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Algebra - Lesson Summary
Equations, Functions and Graphs
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Equations, Functions and Graphs - Learning Outcomes
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Plotting Quadratic Graphs From a Table of Values
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Plotting Cubic Graphs From a Table of Values
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Plotting Reciprocal Graphs From Table of Values
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Equations, Functions and Graphs - Lesson Summary
Calculus
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Calculus - Learning Outcomes
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Basic Differentiation of y = x^n
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Differentiation of Polynomials
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The Product Rule
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The Quotient Rule
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The Chain Rule
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Second Derivative
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Differentiation and Turning Points
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Differentiation of Logarithms
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Basic Integration
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The Integral Sign
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Harder Integration
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Definite Integration
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Area Between Lines
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Calculus - Lesson Summary
Probability and Binomial Distribution
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Probability and Binomial Distribution - Learning Outcomes
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Arrangements
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Arrangements and Selections
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The Binomial Distribution
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Probability and Binomial Distribution - Lesson Summary
Foundation Diploma in Mathematics - Science, Technology and Engineering - First Assessment
Matrices
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Matrices - Learning Outcomes
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Basic Information About Matrices
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How to Operate With Matrices
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Determinants
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Using Matrices When Solving System of Equations
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Matrices - Lesson Summary
Trigonometry
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Trigonometry - Learning Outcomes
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Finding Angles With the Sine Ratio
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Finding Sides With the Sine Ratio
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Finding Angles With the Cosine Ratio
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Finding Sides With the Cosine Ratio
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Finding Angles With the Tangent Ratio
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Finding Sides With the Tangent Ratio
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Introducing Radians
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Using Radians to Find the Area of a Sector
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Solving Trigonometric Equations
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Finding a Missing Side With the Sine Rule
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Finding a Missing Angle With the Sine Rule
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Finding Areas with Trigonometry
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Problem Solving With the Cosine Rule
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Trigonometry - Lesson Summary
Complex Numbers
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Complex Numbers - Learning Outcomes
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The Argand Diagram and Modulus
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The Meaning of i
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Manipulating Complex Numbers
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Writing Complex Numbers in Polar Form
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Complex Numbers when solving Quadratic Equations
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Multiplying and Dividing in Polar Form (Ex)
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Proof of De-Moivre’s Theorem
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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 security-marked Diploma, posted to you with FREE shipping
Framed Diploma - a physical version of your officially branded and security-marked 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.
