**Mathematical Modelling 2**

The subject outline can be found on UTS Online as well as in the handbook

**Often used mathematical techniques:**

### Linear Algebra (matrices):

- Matrix addition and multiplication
- Systems of equations
- Inverse and transpose matrices
- Gaussian Reduction
- Linear Transformations
- Eigenvalues and Eigenvectors

### Multivariable Calculus:

- Limits and discontinuity
- Partial derivatives
- Tangent plane and linear approximation
- Chain rule
- Directional derivatives and gradients
- Optimisation
- Double and triple intergrals

### Stats:

- Discrete and continuous random variables
- Statistical distribution – Binomial, Poisson, Exponential, Normal
- Systems of individual components
- Confidence intervals
- Statistical inference

**Pro tips:**

In the early weeks, you should become well practiced in:

- Basic matrix algebra
- Integration and differentiation skills and techniques
- Data description – qualitative and quantitative

### Maths:

The maths section of the subject is broken into **linear algebra** and **calculus of several variables**. Both of these build on from what you’ve learned in MM1, so it’s helpful to have a solid understanding of a few of those skills – particularly integration and differentiation.

The linear algebra topic goes through matrix manipulation and applications of matrices. This can be quite useful in subjects like E&C, Circuit Analysis, Signals & Systems and Advanced Mathematics & Physics, where you have 3 or more simultaneous equations.

Multivariable calculus extends skills you’ve previously learned into 3D which brings some interesting new techniques which don’t appear in 2D situations.

### Stats:

The statistics content builds on itself throughout the semester, understanding the content from the first few weeks will help later on when it gets more complicated.

### In General:

**Webassign and Mastery Tests: **When preparing for the mastery tests, start by doing the practice test on Webassign and use the homework questions to work on anything you’re not so sure about. Try to keep up with the homework for each week, the questions are often quite repetitive but they are good exercises to practice skills.

**Minitab** can be used during the mastery tests but try to practice using it outside the designated computer labs. The exam also uses minitab outputs for some questions so being familiar with how these look will save you a lot of time.