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Foundation Diploma in Mathematics - Science, Technology and Engineering

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• 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 – 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;
- 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