Announcements & Reminders

1. The final exam

   • Monday June 3, 2pm

   • 3h exam + 15min reading time

   • Melville Hall, building 12

2. This week (WEEK 12) tutorials:

   • Problems from previous exams

   • Consultations

   • Additional consultation hours scheduled, see Wattle announcements

3. My consultation hours:

   • Monday May 27, 9:30-11:00

   • Office 1021, HW Arndt Building

   • Come with specific questions

   • Today after the lecture for as long as it takes

4. Feedback

   • Very important

   • Don’t miss SELT feedback forms

   • Evaluate your convener, all lecturers and your tutor

5. Visitors’ talk today (second half of the lecture)

   • Internship Program at The Department of Treasury

   • Bronte Parbery, Graduate at Treasury

   • Ben Cook, Graduate Analyst, Treasury

   • Harvey Thompson, Economist at Treasury

🛟 Revision

⏱ | words

Final exam

• Monday June 3, 2pm

• 3h exam + 15min reading time

• Melville Hall, building 12

• centrally invigilated examination

Tip

• Do not be late ⏰

• Start with easier questions (for you)

• Manage time while writing the exam ⏱

• Examples of good and bad answers

Consultations

• All scheduled tutorials this week are in part Q&A over the whole course + practice questions

• See announcements on Wattle in the course discussion forum for additinal consultation hours

• My office hours on Monday morning, May 27 (but not June 3)

Review

Most importantly, make sure to fully understand and remember:

• definitions

• facts

• all named facts and definitions are absolutely essential

Tip

Each good proof starts with definitions

Go over the course plan on the index page

Previous exam questions

(with some solutions)

Please, use the following materials to practice for the exam:

1. Midterm exam (2015) by Prof. John Stachurski (except questions on probability: 9 to 15)
   pdf file

2. Tutorial questions and solutions (2022) by Associate Prof. Yijuan Chen
   questions solutions

3. Assignment three questions and solutions (2023) by Dr. Reza Hajargasht
   questions solutions

Most involved problem from the previous exam

Formulation

Find the maximizers of the function \(f \colon \mathbb{R}^2 \to \mathbb{R}\) given by

\[ f(x,y) = x^2 + y^2 \]

on the set

\[ D = \{(x,y) \colon (y+1)^3 \ge x^2 \text{ and } x^2+y \le 1\} \]

Use first and second order conditions to support your answer

Hint

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Solution