Mathematical methods for economics (AY 2012-2013) PROF. MARINA SCOVENNA COURSE AIMS – To develop the ability to use mathematical models and tools in a wide array of applications. – To provide the necessary mathematical tools to deal with economic problems. COURSE CONTENTS 1. Basic knowledge (pre-course classes): number sets, algebraic calculus, analytic geometry, goniometry, exponentials and logarithms. 2. Functions in R and R2. 3. Differential calculus in R and R2. 4. Overview of integral calculus. 5. Elements of linear algebra. 6. Basic concepts of financial mathematics. N.B. More detailed information on the aforementioned topics will be provided during lectures. TEXTBOOKS 1. M. BIANCHI - L. SCAGLIANTI, Precorso di matematica. Nozioni di base, Cedam, 2009. 2. A. TORRIERO - M. SCOVENNA - L. SCAGLIANTI, Manuale di matematica. Metodi e applicazioni, Cedam, 2009. 3. M. SCOVENNA - R. GRASSI, Esercizi di matematica. Esercitazioni e temi d’esame, Cedam, 2011. Online instructional material will be available on Blackboard. TEACHING METHOD Lectures (course and pre-course classes), assignments. ASSESSMENT METHOD Grading will based on: a. preliminary test (written), concerning basic knowledge, essential to pass to the written examination. Students who have correctly answered at least 8 questions in the mathematical section of the admission Faculty test are exempted. Preliminary test and exemption expire at the beginning of the new academic year; b. written examination (theory and exercises, both in the form of multiplechoice and/or open-ended questions); c. oral examination (only in some cases, which will be specified on Blackboard at the beginning of the course). For all students it is also possible to take partial tests: preliminary test (see a. above), first partial test during the class period and second partial test at the end. More detailed information on the examination and partial tests will be available on Blackboard at the beginning of the course. NOTES The topics mentioned under “Basic knowledge” are essential to pass the exam and thus attendance at the pre-course classes is highly recommended.