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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, Certificate or PDF.

    Having an official Alison document is a great way to share your success. Plus it’s:

    • Ideal for including in CVs, job applications and portfolios
    • An indication of your ability to learn and achieve high results
    • An incentive to continue to empower yourself through learning
    • A tangible way of supporting the Alison mission to empower people everywhere through education.

Modules List( 11 )
  • FOUNDATION DIPLOMA IN MATHEMATICS - SCIENCE, TECH...
  • Module 1: Introduction to Mathematics
    • 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
  • Module 2: Algebra
    • 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
  • Module 3: Equations, Functions and Graphs
    • Plotting Quadratic Graphs From a Table of Values
    • Plotting Cubic Graphs From a Table of Values
    • Plotting Reciprocal Graphs From Table of Values
  • Module 4: Calculus
    • 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
  • Module 5: Probability and Binomial Distribution
    • Arrangements
    • Arrangements and Selections
    • The Binomial Distribution
  • Module 6: Foundation Diploma in Mathematics - Science, Technology Engineering: First Assessment
    • Foundation Diploma in Mathematics - Science, Technology and Engineering - First Assessment
  • Module 7: Matrices
    • Basic Information About Matrices
    • How to Operate With Matrices
    • Determinants
    • Using Matrices When Solving System of Equations
  • Module 8: Trigonometry
    • 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
  • Module 9: Complex Numbers
    • 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
  • Module 10: Foundation Diploma in Mathematics - Science, Technology Engineering: Second Assessment
    • Foundation Diploma in Mathematics - Science, Technology and Engineering - Second Assessment
  • END OF COURSE ASSESSMENT
  • Module 11: Foundation Diploma in Mathematics - Science, Technology Engineering: Final Assessment
    • Foundation Diploma in Mathematics - Science, Technology and Engineering - Final Assessment
Topics List ( 3 )
Module 3: Equations, Functions and Graphs
Learn more about equations, functions and graphs.
Topics List ( 3 )
Module 5: Probability and Binomial Distribution
Learn more about probability and the Binomial distribution.
Topics List ( 1 )
Module 6: Foundation Diploma in Mathematics - Science, Technology Engineering: First Assessment
You must score 80% or more to pass this assessment.
Topics List ( 1 )
Module 10: Foundation Diploma in Mathematics - Science, Technology Engineering: Second Assessment
You must score 80% or more to pass this assessment.
Topics List ( 1 )
Module 11: Foundation Diploma in Mathematics - Science, Technology Engineering: Final Assessment
You must score 80% or more to pass this assessment.
Course Features
  • Duration

    6-10 Hours

  • Publisher

    Advance Learning

  • Video

    Yes

  • Audio

    No

  • Assessment

    Yes

  • Certification

    Yes

  • Price

    Free

  • Reward

    250 Pts

  • Responsive

    No

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