This problem emphasizes the importance of the choice of finite-difference rules when discretizing differential equations. Consider an example of the classical convection-diffusion transport equation, which describes the transport of a fluid due to convection and diffusion: νu00 0 au0 + 1 = 0, x ∈ [0, 1], u(0) = 0, u(1) = 0 Depending on the so-called Peclet number P e = a∆x 2ν , where ∆x is the spacing between nodes in the finite difference approximation, we can get spurious behavior in the numerical solution if we use a central difference method for the convection (first-order derivative) term. In particular, if P e > 1 (convectiondominated), then a different scheme should be used.

• Time allowed: 10 minutes reading time + 3 hours • Total number of questions: 10+1 • Total number of marks: 100+5 • Only UNSW approved calculators are allowed in this exam. • Answer all questions. • You can answer the questions in any order. • Start each question on a new page. • Answers must be written in ink. • Answer these questions in the script book provided. • Do not write your answer in this exam paper. • If you use more than one script book, fill in your details on the front of each book. • You may not take this question paper out of the exam.

This is a open-book, open-notes exam. You are allowed to consult books, information online, etc. However, you are NOT ALLOWED to discuss the exam questions with your friends, classmates, etc. The TAs and I will pay close attention to your submitted answers. We will detect and penalize answers that are clearly copied from others or from the Internet according to the university policy.

Suppose you are required to retrieve the temperature from the Analog Devices AD5933 chip, which is a chip used to make very precise impedance measurements. The interface is I2C and the relevant portions of the datasheet for this chip are attached.

1. Time allowed: 2 hours. 2. The paper contains 5 questions. 3. The questions are worth 105 marks in total, your final mark will be capped at 100. 4. The questions are NOT of equal value. Part marks are as indicated. 5. This question booklet contains 3 pages apart from this instructions page.

In this project you are required to design a web-based medication and diet regime management system that would be suitable for use by a qualified health practitioner in an aged-care facility. You will not be given indepth details on how the tasks are to be achieved: that is up to your ingenuity, creativity and perseverance. The medication database, as well all web pages in your application should be your own design. However, essential user information must be entered and validated, and the referential integrity of the data maintained. In addition, patient confidentiality is to be maintained via a secure login feature.

Build an integer Vector class defined in namespace CS52 that has similar behavior to std::vector. The integer Vector will have a default constructor, an overloaded constructor, a copy constructor, and overloaded operators (e.g. bracket [], assignment = and stream insertion <<). Use C++’s object oriented programming constructs like classes and resource management that relies on constructors and destructors for memory management. Refer to the interface described on page 2 of this handout for the Vector class declaration.

This assignment is due on Sunday Nov 22, 23:59 and has a coding part and a written part. • Submit your written part (Problems 1 and 2) as a single pdf on Gradescope. • Submit your code (Problem 3) on Ed. • All work must be done individually without consulting anyone else’s solutions in accordance with the University’s “Academic Dishonesty and Plagiarism” policies. • For clarifications and more details on all aspects of this assignment (e.g., level of justification expected, late penalties, repeated submissions, what to do if you are stuck, etc.) you are expected to regularly monitor the Ed Forum post “Assignment Guidelines”.

In this project, you will exploit a poorly designed website. This project may be done individually or in groups of two.

You should submit your assignment using the Electronic Submission System (FASER) by the above deadline. You must complete your assignment independently. Please refer to the Postgraduate Students’ Handbook for details of the Departmental policy regarding submission and University regulations regarding plagiarism. The assignment mark and feedback sheet will be returned via the Electronic Submission System no later than three weeks after the assignment submission date.