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Foundation Diploma in Mathematics - Science, Technology and Engineering

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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 third-level. The course consists of maths tutorial videos in which qualified maths teachers resolve problems in real-time. Furthermore, a comprehensive assessment tests students on all aspects of mathematics which are related to science, technology and engineering. This course will appeal to third-level students who are lacking confidence in their mathematical knowledge and skills. This course will also appeal to students who are re-entering 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 third-level 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 De-Moivre’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

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