Embedded Files
Instructor: Marcus Pivato (Centre d'Économie de la Sorbonne)
Textbook: Further Mathematics for Economic Analysis (2nd edition), by Knut Sydsaeter, Peter Hammond, Atle Seierstad, and Arne Strøm.
Click here for the course outline
Classes: Monday 11h00-12h30, Wednesday 15h00-16h30, MSE Room 117.
TD: Monday 12h30-14h30, Wednesday 16h30-18h30, MSE Room 117.
Marking scheme:
20% Attendance (participation in TDs)
80% Final Exam (Wednesday 15 October, 12h30-14h30)
The exam will be based on the lists of recommended problems which I will give you each week. It is strongly recommended that you try to solve all of these problems during the semester, as a way of studying for the exam.
Video Recordings
Video Recordings
Video recording of class from Monday 9 September
Video recording of Wednesay 11 September
Video recording of class from Monday 16 September
Class of Wednesday 18 September --CANCELLED
Video recording of Monday 23 September
Video recording of Wednesday 25 September
Video recording of Monday 30 September
Video recording of Wednesday 2 October
Video recording of Monday 7 October
Video recording of Wednesday 9 October
Video recording of Monday 14 October
Video recording of Tuesday 15 October
Lecture Notes
Lecture Notes
Class of Wednesday 18 September --CANCELLED
Past Exams
Past Exams
2023 intermediate test (with solutions)
2023 final exam (with solutions)
2024 intermediate test (with solutions)
2024 Final exam (with solutions)
Other books
Other books
Aside from the text by Sydsaeter et al, here are some other textbooks that you might find useful:
Mathematics for Economists, by Carl P. Simon, Lawrence Blume (Norton, 1994)
Mathematics for Economists: An introductory textbook (5th Edition), by Malcolm Pemberton, Nicholas Rau (Manchester University Press, 2023)
Mathematics for Economics (3rd edition) by Michael Hoy, John Livernois, Chris Mckenna, Ray Rees,and Thanasis Stengos (MIT Press, 2011)
Announcements
Announcements
The class and TD on Monday 29 September and Wednesday 1 October are cancelled.
They will be replaced by supplementary classes (date to be announced)
Lecture schedule for twelve classes (provisional)
Lecture schedule for twelve classes (provisional)
(§1.1-1.3,§1.7) Review of linear algebra and quadratic forms.
(§2.1-§2.2) Gradients & directional derivatives; convex sets
(§2.3) Concave and convex functions
(§2.4-2.5) (Quasi)concave and (quasi)convex functions
(§2.5-2.6) Quasiconcave and quasiconvex functions, Taylor’s theorem
(§2.7), The Implicit and Inverse Function Theorems
(§2.9) Differentiability, the chain rule.
(§4.1-4.2) One-dimensional integration; Leibniz formula
(§4.3-4.4) The Gamma function; multiple integrals on product domains
(§4.5-4.6) Double integrals on general domains; multiple integrals;
(§4.7) Change of variables
(§4.8) Generalized integrals
Advice: I will follow the textbook closely. Thus, it is strongly recommended that you obtain a copy of the textbook, and read the recommended sections of the book before each lecture. Come to class prepared to ask questions. Be an active learner. After each class, review the exercises solved in class, and solve the other assigned problems.
Recommended problems
Recommended problems
(This list is updated regularly, so please check frequently. All recommended problems are from the textbook by Sydsaeter et al.)
Section 1.2: #2, #3, #4, #6.
Section 1.3: #1.
Section 1.7: #1, #3, #5, #7.
Section 2.1: #1, #2, #3, #4, #7, #8.
Section 2.2: #2, #3, #4, #5, #6.
Section 2.3: #4, #5, #6, #7, #8, #9. Also: prove Theorem 2.3.4(b) and prove parts (b), (c) and (d) of Theorem 2.3.5.
Section 2.4: #1, #2, #3, #4, #5. Also: prove parts (b), (c), (d) and (f) of Theorem 2.4.2.
Section 2.5: #1, #2, #6 ,#10 and #11. Also: prove part (b) of Theorem 2.5.2.
Section 2.6: #1 and #2.
Section 2.7: #1, #2 and #4.
Section 2.9: #1.
Section 4.1: #1, #2, #3, #4, and #5.
Section 4.2: #1, #3, and #5.
Section 4.3: #1 and #2.
Section 4.4: #1.
Section 4.5: #1, #4, and #6.
Section 4.7: #1, #2, #3, and #5.
Page updated
Google Sites
Report abuse