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HND Unit 5006 - Further Engineering Mathematics
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UNIT 5006 - FURTHER ENGINEERING MATHEMATICS SPECIFICATION
Unit 5006 Forum
Maxima
LO1: Number Theory
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1.1 Denary and Binary
1.1 Denary and Binary Questions
1.2 Octal Numbers
1.2 Octal Number Questions
1.3 Hexadecimal
1.3 Hexadecimal Questions
1.4 Adding and Subtracting
1.4 Addition and Subtraction Questions
1.5.1 Multiplying and Dividing in Octal
1.5.2 Multiplying and Dividing in Hexadecimal
1.5 Multiplying and Dividing Questions
1.5.3 A Note on Different Base Numbers
1.6 Types of Numbers
1.6 Number Type Questions
1.7 Basic Operations with Complex Numbers
1.7 Complex Number Operation Questions
1.8 De Moivre's Theorem
1.8 De Moivre's Questions
1.9 De Moivre's Theorem Pt. 2
Side Note: Pascal's Triangle
1.10 Exponential Form
1.10 Exponential Form Questions
Assessment Guidance
LO2: Matrix Methods
2.1 Introduction to Matrices
2.1 Matrix Operations Practice Questions
2.2 Determinants
2.2 Determinant Practice Questions
2.3 The Inverse of a Matrix
2.3 Inverse Practice Questions
2.4 Solving Systems of Equations
2.4 Solving Systems of Equations Practice Questions
2.5 Evaluating Matrices with Computer Software
2.5.1 Evaluating Matrices in Maxima (Recommended)
2.5.2 Evaluating Matrices with Octave
2.5.3 Evaluating Matrices in the Wolfram Language
2.5 Computational Practice Questions
LO3: Graphical and Numerical Methods
3.1.1 Straight Line Graphs
3.1.1 Straight Line Graph Questions
3.1.2 Quadratic Graphs
3.1.2 Quadratic Graph Questions
3.1.3 Cubic Graphs
3.1.3 Cubic Graph Questions
3.1.4 Exponential Graphs
3.1.5 Logarithmic Graphs
3.1.5 Exponential and Logarithmic Graph Questions
3.2 The Bisection Method
3.3 The Newton-Raphson Method
3.2-3 Numerical Analysis Questions
3.4 The Mid-Ordinate Rule
3.5 The Trapezium Rule
3.6 Simpson's Rule
LO4: Differential Equations
Link: integral-table.com
4.1 Solving First-Order Differential Equations
4.1 FODE Questions
4.2.1 Solving First-Order Differential Equations Pt. 2
4.2 FODE Pt. 2 Questions
4.2.2 Rearranging First Order Differential Equations
4.3.1 Example 1: Resistance and Temperature
4.3.2 Example 2: The Current in an RL Circuit
4.3.3 Example 3: Tension and Friction
4.3 Application Questions
4.4 Solving Second-Order Differential Equations
4.4.1 Plotting Second Order Differential Equations (Optional)
4.5 Applications of Second-Order Differential Equations
4.4-5 SODE Questions
4.6 Non-Homogenous Second-Order Differential Equations
4.6 Non-Homogenous Practice Questions
4.7 Laplace Transforms
4.7.1 The First Shifting Theorem
4.7 Laplace Transform Questions
4.8 The Inverse Laplace Transform
4.8 Inverse Laplace Transform Questions
4.9.1 Applications of Laplace Transforms - Example 1
4.9.2 Applications of Laplace Transforms - Example 2
4.9.3 Laplace Transforms - Further Examples
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HND Unit 5006 - Further Engineering Mathematics
Teacher:
Jon Forster
Skill Level
:
Level 5
