Teacher(s)
Language
French
Learning outcomes
At the end of this learning unit, the student is able to : | |
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Content
The topics covered are:
1. Integrals
2. Elements of financial mathematics
3. Functions of several variables
4. Concepts and tools of comparative statics: derivation of composite functions, implicit function theorem, first-degree approximations, homogeneous and homothetic functions, manipulations of systems of equations.
5. Multivariable Optimization
6. Constrained optimization
Beyond the rigorous presentation of mathematical concepts, the course will also address and discuss numerous economic applications: among possible topics, area calculations (distribution of income, consumer surplus), cross and partial elasticities, comparative static exercises, profit maximization of the competitive firm, the constrained consumer choice problem, etc.
1. Integrals
2. Elements of financial mathematics
3. Functions of several variables
4. Concepts and tools of comparative statics: derivation of composite functions, implicit function theorem, first-degree approximations, homogeneous and homothetic functions, manipulations of systems of equations.
5. Multivariable Optimization
6. Constrained optimization
Beyond the rigorous presentation of mathematical concepts, the course will also address and discuss numerous economic applications: among possible topics, area calculations (distribution of income, consumer surplus), cross and partial elasticities, comparative static exercises, profit maximization of the competitive firm, the constrained consumer choice problem, etc.
Teaching methods
a) The lectures
The lectures consist of an exposition of concepts and explanatory mechanisms. They follow the general structure of the plan detailed above and therefore also quite closely that of the reference manual mentioned below. The different parts of the material may, however, succeed one another in a slightly different order than in the reference manual.
b) TA (Teaching Assistant) sessions
Students are divided into groups. The sessions require preparation of the students, who are responsible for preparing a selection of "core" exercices distributed on the course website at least one week before each work session. The TA session itself combines individual work (during which the assistant answers any questions) and interaction with the assistant on a series of more complex exercises.
c) Online tests
Online tests will be provided to students to help them prepare for the final examination. These tests may also be used as graded intermediate assessments.
The lectures consist of an exposition of concepts and explanatory mechanisms. They follow the general structure of the plan detailed above and therefore also quite closely that of the reference manual mentioned below. The different parts of the material may, however, succeed one another in a slightly different order than in the reference manual.
b) TA (Teaching Assistant) sessions
Students are divided into groups. The sessions require preparation of the students, who are responsible for preparing a selection of "core" exercices distributed on the course website at least one week before each work session. The TA session itself combines individual work (during which the assistant answers any questions) and interaction with the assistant on a series of more complex exercises.
c) Online tests
Online tests will be provided to students to help them prepare for the final examination. These tests may also be used as graded intermediate assessments.
Evaluation methods
The final assessment will be based on two grades: the grade obtained in the final examination and possibly, a grade based on intermediate assessment tests organized during the semester. The latter grade will only be taken into account in the first examination session, if such tests have been organized and if including this grade improves the student’s final grade. The respective weighting of the two grades will be announced to students at the beginning of the semester. The final examination will be a written examination and may include multiple-choice questions. It is intended to assess students’ acquisition of theoretical knowledge and their in-depth understanding of the concepts presented in class, as well as their ability to apply problem-solving techniques. In particular, students may be asked to apply these techniques to mathematical and/or economic problems.
Online resources
See moodle page of the course.
Bibliography
Ouvrage de référence: Sydsaeter, K., Hammond, P., Strom, A., Mathématiques pour l’économie, 6e édition (ou 4e/5e, les changements mineurs n'affectant pas l'apprentissage), Pearson, isbn : 978-1-292-35928-1
Faculty or entity
