Welcome to M2 Mathematics for Economics
Instructors: Marius Ochea and Marcus Pivato
Lectures: Wednesday and Friday 10h30-12h00
Here is a course outline.
Textbooks (highly recommended):
First half: Mathematics for Economists, by Simon, C. P. and Blume, L. (1994) Norton, New York NY.
Second half: Further mathematics for economic analysis, second edition, by Knut Sydsæter, Peter Hammond, Atle Seierstad, and Arne Strøm (2008), Prentice Hall.
Lecture notes for first half of course:
Midterm exam Nov 2020 Midterm2020-elements of solution
Week 1. Simon&Blume: #7.2 (a), #7.3 (b), (c); #7.20 (c); #8.19 (d),(e)
Sydsæter et al: Section 1.5, #1 (b), (e), (f). Section 1.6, #1 (b), #3 (a)
Week 2. Sydsæter et al: Section 1.7, # 1 (a), (b); #5 (b), (d); #7 (a)
Section 2.3, #4; #5 (a), (c)
Section 2.5, #1 (a), (d); #2 (b), (d)
Section 2.7, # 1 (a); #2 (a)
Week 3. Sydsæter et al: Section 3.2, #1; #2(a); #3 (a)
Section 3.3, #1; #3 (a), (b); #6 (a), (b)
Section 3.5, #2 (a), (b); #3; #5
Section 3.8, #2 (a)
Week 5. Sydsæter et al: Section A.3, #4; #5 (a), (b);#6
Section 4.2, #1 (c), (d); #3 (a), (b); #6
Section 4.4, #1 (a) (c)
Section 4.5, #1 (a), (b)
(in the textbook by Sydsæter, et al.):
Section 11.1: #1, #2.
Section 11.3: #2, #3, #4.
Section 11.4: #1, #6, #7.
Section 11.5: #1, #2.
Section 11.6: #1, #2.
Section 12.1: #1, #3, #4.
Section 12.2: #1 and #2.
Section 12.3: #1, #2(a)
Section 13.1: #1, #3, #5, #8, #9, #10, #12
Section 13.2: #3, #5, #6.
Section 13.3: #3, #4, #8.
Section 13.4: #1 and #2
Section 13.5: #4 and #6.
Section 13.6: #1, #2, and #3.
Section 14.1: #1, #2, #3 and #4.
Section 14.2: #2.
Section 14.4: #1, #2, #3 and #4.
Notes: (a) These questions are drawn from the second edition (2008). If you have the first edition (2005), then the question numbers might be different.
(b) The answers to all problems are at the back of the book.
You may write the exam using a pencil or a pen, as you prefer.
You may use a formula sheet, on A4 paper, double sided. You may not consult your textbook or notes.
You may use a basic calculator. You may not use any other electronic devices.
The exam questions will be based on the recommended problems listed above.
A collection of old final exams (with solutions) is available below