Academic Year 2015/2016
Course outline
Period: 14-18 September 2015, 17:30-20:30
Timetable: 14:00 h - 17:00 h.
Venue: Amphitheatre BES (Quelhas building).
Contact hours: 15 hours.
Class size: 10-45.
Teaching language: English (*Portuguese if everybody in the class knows portuguese).
Pre-requisites: 12th grade Mathematics.
Academic staff
João Ferreira do Amaral (Course leader)
Aims
- To refresh undergraduate knowledge in Mathematics to the new students of the M.Sc. and Ph.D. programmes.
- To provide students lacking undergraduate courses in Mathematics all the instruments needed to attend a graduate programme in ISEG.
Syllabus
- Sequences and real functions in one variable. Continuity. Monotonicity, concavity, and convexity. Some important functions.
- Differential and integral calculus for functions in one variable. Elasticities. Growth rates.
- Real functions of multiple variables. Differential and integral calculus. Optimization.
- Differential and difference equations. Dynamic systems.
- Matrices. Matrix calculus. Determinants. Solving systems of linear equations.
Main readings
- Sydsaeter, Knut; Hammond, Peter (2008). Essential Mathematics for Economic Analysis, 3rd Ed. Prentice Hall.
- Chiang, Alpha; Wainwright, Kevin (2005). Fundamental Methods of Mathematical Economics, 4th Ed. McGraw Hill. International Edition.
Additional readings
- Amaral, João Ferreira do; Serra, António Almeida; Estêvão, João (2008). Economia do Crescimento. Almedina (particularly the Mathematical Appendix).
Assessment
TBA.
Links
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