Course 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.
Upcoming start dates
Training content
Introduction to Mathematics
Description: The Introduction to Mathematics topics will show learners how to change small and large numbers from standard form to decimals and how to work with both negative and positive indices.
- 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
- Lesson Summary
Algebra
Description: This first module looks at some basic expressions and formulas. It takes the learner through Inequalities and then moves onto complex numbers. Within each topic are a number of videos which will cover various sub-topics, such as Argand diagrams for complex numbers.
- 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
- Lesson Summary
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
- Lesson Summary
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
- Lesson Summary
Probability and Binomial Distribution
- Learning Outcomes
- Arrangements
- Arrangements and Selections
- The Binomial Distribution
- Lesson Summary
Foundation Diploma in Mathematics - Science, Technology and Engineering - First Assessment
- Assessment: Foundation Diploma in Mathematics - Science, Technology and Engineering: First Assessment
Matrices
Description: This module outlines how to operate matrices and how to use matrices when solving a system of equations.
- Learning Outcomes
- Basic Information About Matrices
- How to Operate With Matrices
- Determinants
- Using Matrices When Solving System of Equations
- Lesson Summary
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
- Lesson Summary
Complex Numbers
Description: In this module, learners will be shown how to work with complex numbers, as well as the Argand Diagram, review the proof of De Moivre's Theorem, write complex numbers in polar form, and find the cube roots of 8.
- 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 De-Moivre’s Theorem
- Lesson Summary
Foundation Diploma in Mathematics - Science, Technology and Engineering - Second Assessment
- Assessment: Foundation Diploma in Mathematics - Science, Technology and Engineering: Second Assessment
Course assessment
- Assessment: Foundation Diploma in Mathematics - Science, Technology and Engineering - Final Assessment
Certification / Credits
By the end of this course, you will be able to:
- Calculate how to change Small and Large Numbers from Standard Form
- State how to work with Indices
- Identify how to apply differentiation rules
- Identify how to apply integration rules
- Outline how to factorise quadratic and cubic equations
- Recognise how to work with plotting quadratic and cubic graphs
- Identify how to work with matrices
- Recognise how to use and solve trigonometric ratios
- Identify how to work with trigonometric rules
- Solve equations using complex numbers.
Quick stats about Alison?
Providing Free Online Learning since 2007
Over 45 Million Learners across 193 Countries have studied with us
Over 5 Million people use the Alison Learning App, where you can study anywhere and anytime
Contact this provider
Alison Free Learning
Alison is the world’s largest free online empowerment platform for education and skills training, offering thousands of CPD-accredited courses and a range of impactful career development tools. It is a for-profit social enterprise dedicated to making it possible for anyone,...