Foundation Diploma in Mathematics - Online course | Alison

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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.

Core Maths Skills
Free Course
This free online Foundation in Mathematics course is designed to help people pursuing careers in Science, Technology Engineering and Mathematics (STEM). STEM careers are some of the most highly paid and respected in the world. No matter what level of math you currently have, you can always get a little better, and a free online course is a great place to do so. Start this free online course today and make your future STEM career a success.





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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.

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Introduction to Mathematics


Equations, Functions and Graphs


Probability and Binomial Distribution

Foundation Diploma in Mathematics - Science, Technology and Engineering - First Assessment



Complex Numbers

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


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:

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