Mathematics for Doctoral Economics II, 7,5 högskolepoäng
Mathematics for Doctoral Economics II, 7.5 credits
Kursplan för studenter höst 2020
Kurskod: FJMD239
Fastställd av: Forskningsnämnden 2019-06-12
Gäller fr.o.m.: Våren 2019
Version: 1
Utbildningsnivå: Forskarnivå
Forskarutbildningsämne: Nationalekonomi


The Mathematics for Doctoral Economics II course is designed to help students be prepared for the
mathematical material on dynamic equations that is typically found in the economics (especially
macroeconomics) and statistics courses associated with doctoral programme in economics.


On completion of the course, the students will be able to:

Kunskap och förståelse

Färdighet och förmåga

Värderingsförmåga och förhållningssätt


(i) dynamic univariate equations (difference equations and differential equations), including higherorder linear dynamic equations and first-order nonlinear dynamic equations.
(ii) phase diagrams
(iii) stochastic processes.
(iv) chaos theory.
(v) linear dynamical systems, including those with spiraling behavior when not in equilibrium.
(vi) dynamic optimization: calculus of variations, optimal control theory, and dynamic programming


Lectures and homework assignments.

Undervisningen bedrivs på engelska.


Admitted to a doctoral programme in economics or a related subject of a recognized business school or university.

Examination och betyg

Kursen bedöms med betygen Underkänd eller Godkänd.

The examination consists of three written examinations, with their percentage contributions to the final
overall grade noted in parentheses below:
• Midterm examination (40%), which covers ILOs 1, 2, 3, 4, 6
• Final examination (60%), which covers ILOs 1, 3, 4, 5, 6
To pass the course the student needs to achieve at least 60% correct of the maximum possible points on
the final overall grade and at least 50% correct on the final examination.


A course evaluation will be conducted at the end of the course.


The course language is English.


The primary textbook is Chiang, Alpha C. and Wainwright, Kevin C. (2005) Fundamental Methods of
Mathematical Economics 4th edition, McGraw Hill [ISBN: 007-123823-9]
The course also uses material from Sydsaeter, K., Hammond, P., Seierstad, A. and A. Strom (2008) Further
Mathematics for Economic Analysis, 2nd ed, Pearson [ISBN: 978-0-273-71328-9], including chapters 8 and 12.
Supplementary material may also be assigned.