Department of Economics
August 2007
Nils Framstad, rom 1133, ES
Revised: 2007-08-30: changed deadline term paper 1

ECON3120/4120 Mathematics 2, fall term 2007
Note: With reservation for changes. Teaching-free week tentatively scheduled for week 40. Please keep an eye on the ECON4120 home page, http://www.uio.no/studier/emner/sv/oekonomi/ECON4120/h07/

Lectures:  
Monday		14.15–16.00, auditorium 2, ES
Wednesday	08.15–10.00, auditorium 2, ES

Seminarer (regneøvelser):
Seminar 1: 
Monday 	16.15–18.00, Seminarrom 101 Harriet Holters hus
Seminar 2 – reserved for first-semester Master students:
Mandag	10.15–12.00, Seminarrom 101 Harriet Holters hus
Seminar leader: Li Zhang

Seminars begin week 36 (Sep. 3). No seminars week 38 (Sep. 17). 

Curriculum – which includes the curriculum of the mathematics part of the course ECON2200 Mathematics I/Micro I:

EMEA:  K. Sydsæter and P. Hammond: Essential Mathematics for Economic Analysis, 2nd ed., FT Prentice Hall, 2006.  The entire book, except Sections 10.5—10.7 and 16.9 and Chapter 17.  (You can also use the first edition from 2002:  The entire book, except Sections 10.5—10.7 and 16.9.)

FMEA:  Knut Sydsæter, Peter Hammond, Atle Seierstad, and Arne Strøm:  Further Mathematics for Economic Analysis, FT Prentice Hall, 2005.  Sections 5.1—5.4.

The final exam is scheduled for December 7, 09.00—12.00.

Note!  In order to be allowed to sit for the exam, you must complete two compulsory term papers (problem sets) satisfactorily.

Mon 20. Aug	Exponential and logarithmic functions.  (Review.) (EMEA 4.9—4.10, 6.10—6.11)	
Wed 22. Aug	Compound interest and present values. Indefinite expressions. (EMEA 7.12, 10.1—10.3)	
Mon 27. Aug	Chain rules. Implicit differentiation. Slopes of level curves.  (Review.) Differentials. Differentiation in equation systems.  (EMEA 7.1—7.3, 12.1—12.4, 12.8—12.11)	
Wed 29. Aug	Differentiation in equation systems.  Limits and continuous functions.  The intermediate value theorem. (EMEA 7.8—7.11, 12.10—12.11)	
Mon 03. Sep	Integration.  (EMEA 9.1—9.4)	
Wed 05. Sep	Integration and methods of integration. (EMEA 9.1—9.6)	
Mon 10. Sep	Methods of integration.  (EMEA 9.5—9.6)
Term paper 1 is announced.	
Wed 12. Sep	Extensions of the integral concept.  (EMEA 9.7)	
Mon 17. Sep	First-order differential equations.  Separable differential equations.  (EMEA 9.8,  FMEA 5.1—5.3)	
Wed 19. Sep	Separable and linear differential equations.  (FMEA 5.3—5.4)	
Mon 24. Sep	Linear differential equations.  (FMEA 5.4)	
Tue 25. Sep	Deadline for term paper 1.	
Wed 26. Sep	Vectors. Scalar products.  Straight lines and planes. (EMEA 15.7—15.9)	
Week 40	“Reading week”.  No lectures or seminars in this course during the period 2.10—6.10.	
Mon 08. Oct	Matrices.  (EMEA 15.1—15.4)	
Wed 10. Oct	Matrices.  Gaussian elimination.  (EMEA 15.5—15.6)	
Mon 15. Oct 	Determinants.  (EMEA  16.1—16.3) 	
Wed 17. Oct	Determinants. Inverse matrices. (EMEA 16.4—16.6)	
Mon 21. Oct	Inverse matrices. Cramer’s rule. (EMEA 16.7—16.8)	
Wed 24. Oct	Homogeneous and homothetic functions.  (EMEA 12.6—12.7)
Term paper 2 is announced.	
Mon 29. Oct	Maxima and minima.  Review. (EMEA 8.1—8.7, 13.1—13.2)	
Wed 31. Oct	Maxima and minima.  Envelope theorem. (EMEA 13.3—13.7)	
Mon 05. Nov	Constrained maxima and minima.  Review. (EMEA 14.1—14.4) 	
Wed 07. Nov	Constrained maxima and minima.  Envelope theorem.  (EMEA 14.5—14.6)
Deadline for term paper 2.	
Mon 12. Nov   	Nonlinear programming.  (EMEA 14.7)	
Wed 14. Nov	Nonlinear programming.  (EMEA 14.8.)	
Mon 19. Nov 	Linear and quadratic approximation. Taylor’s formula.  (EMEA 7.4—7.6 and handouts.)	
Wed 21. Nov	Elasticities.  Elasticity of substitution. Finding elasticities of implicit functions.  (EMEA 7.7, 11.8, 12.5, and handouts) 	
Mon 26. Nov	Final review and summing up.