I need to pick one of the 4 modules and I was just wondering which module is the easiest - I know that it is against the spirit of Maths and it isn't the correct attitude to have but I would really appreciate any help! Thanks in advance.
I need to pick one of the 4 modules and I was just wondering which module is the easiest - I know that it is against the spirit of Maths and it isn't the correct attitude to have but I would really appreciate any help! Thanks in advance.
Disclaimer: If you can take out the time to help me (as I understand reading all of this must be quite tedious) I would really appreciate it!
I know its not really in the spirit of Maths/not the right attitude to choose the easiest one (and take a shortcut) but I need to pick a module to study, from one of the following. To give more context, this is for the A-Level Further Maths exam where you need to do Core Pure, a Mechanics Minor module, a Statistics Minor module and one more module ... which is where the 4 following modules below come forth. Oh yeah and I have to self learn this module so whichever one is the easiest one to understand/self teach (and which one is the most basic and least intuitive so really easy)
Also, I know its subjective for different people but if in any way you can rank them, it would be really helpful.
Here are the contents of the 4 modules from which I have to pick one, so which one is the easiest one?
- Recurrence Relations (which has two topics: Homogeneous Recurrence Relations AND Non-Homogeneous Recurrence Relations)
- Groups (which has two topics: Introducing Groups AND Theory of Groups)
- Matrices (which has two topics: Eigenvalues and Eigenvectors AND Evaluating Powers of Square Matrices)
- Multivariable Calculus (which has two topics: Functions of Two Variables AND Partial Differentiation)
- Investigation of Curves (which has four topics:)
1.1 Equations and properties of curves
1.2 Derivatives of curves
1.3 Limiting behaviour
1.4 Envelopes and arc lengths
- Exploring Differential Equations (which has three topics:)
2.1 Tangent fields
2.2 Analytical solutions of differential equations
2.3 Numerical solutions of differential equations
- Number Theory (which has four topics:)
3.1 Programming
3.2 Prime numbers
3.3 Congruences and modular arithmetic
3.4 Diophantine equations
- Algorithms (which has 4 topics)
1.1 What is an algorithm?
1.2 Algorithmic complexity
1.3 Packing
1.4 Sorting
- Modelling with Graphs and Networks (which has 3 topics)
2.1 The language of graphs and networks
2.2 Modelling with graphs
2.3 Modelling with networks
- Network Algorithms (which has 3 topics)
3.1 Algorithms for minimum connector problems
3.2 Finding the shortest path
3.3 Calculating algorithmic complexities
- Further Network Problems (which has 2 topics)
4.1 Critical path analysis
4.2 Network flows
- Linear Programming (which has 2 topics)
5.1 Formulating linear programming problems
5.2 Graphical solutions
- Simplex Method (which has 3 topics)
6.1 Using a simplex tableau
6.2 Non-standard forms
6.3 Use of technology
- Reformulating Network Problems as Linear (which has 2 topics)
7.1 Modelling paths and flows
7.2 Modelling allocation problems
- Approximation
1.1 Absolute and relative error
1.2 Rounding and chopping
1.3 Arithmetic using approximate values
- The solution of equations
2.1 Roots of equations and graphs
2.2 Bisection method
2.3 False position (an application of linear interpolation)
2.4 Fixed point iteration
2.5 Newton-Raphson method
2.6 Secant method
- Numerical integration
3.1 Midpoint rule
3.2 Trapezium rule
3.3 Simpson’s rule
- Approximating functions
4.1 Newton’s forward difference interpolation formula
4.2 Lagrange’s form of the interpolating polynomial
- Numerical differentiation
5.1 Forward difference approximation
5.2 Central difference approximation
5.3 Errors in approximation
- Rates of convergence in numerical processes
6.1 Rates of convergence of sequences
6.2 Convergence in numerical integration and differentiation as h changes
Once again I really appreciate any help and thank you in advance.
I know its not really in the spirit of Maths/not the right attitude and everything but I need to pick a book to study from one of the following. To give more context, this is for the A-Level Further Maths exam where you need to do Core Pure, a Mechanics Minor module, a Statistics Minor module and one more module ... which is where the 4 following modules below come forth.
Also, I know its subjective for different people but if in any way you can rank them, it would be really helpful.
Here are the contents of the 4 modules from which I have to pick one, so which one is the easiest one?
Module Name: Further Pure with Technology
Module Name: Modelling with Algorithms
Module Name: Numerical Methods
Any help would be really appreciated. Thanks in advance. (this post isn't about completing my hwk or assignment)
I know its not really in the spirit of Maths/not the right attitude and everything but I need to pick a book to study from one of the following. To give more context, this is for the A-Level Further Maths exam where you need to do Core Pure, a Mechanics Minor module, a Statistics Minor module and one more module ... which is where the 4 following modules below come forth.
Also, I know its subjective for different people but if in any way you can rank them, it would be really helpful.
Here are the contents of the 4 modules from which I have to pick one, so which one is the easiest one?
Module Name: Further Pure with Technology
Module Name: Modelling with Algorithms
Module Name: Numerical Methods
Any help would be really appreciated. Thanks in advance. (this post isn't about completing my hwk or exam)
just curious lmao
