|
 |
 |
|
Teaching
Honors Calculus (Math 1450)
Description
Here is a rough outline of the course syllabus, subject to change
depending on time constraints.
- Differentiation and applications.
- Linear approximation and the chain rule; related rates.
- Integration, fundamental theorem of calculus.
- Concept of work and force; applications in physics, economics
and biology.
- Area and volume by integration; techniques of integration.
- Polar coordinates and complex numbers. Conic sections.
- Newton's laws of motion.
- Mean value theorem and Taylor's theorem with remainder.
- Cylindrical shells, objects of revolution, centroids.
- Sequences and series.
- Introduction to differential equations and applications.
- Vectors; dot and cross products; equations of lines and planes.
- Supplementary advanced topics (if time permits).
Recommended Texts
``Calculus-early transcendentals'' by James Stewart 6th edition but lecture
notes will also cover other material.
Introduction to fixed income mathematics. (Math 3340)
Description
Topics covered include bonds and bank certificates of deposit, arbitrage, bond and annuity valuation, total return, market risk, risk management, term structure construction, liability management.
Recommended Texts
``An introduction to the mathematics of money'',
by Lovelock, Mendel and Wright, 2000, Springer.
|
|
Current Address: Department of Mathematics, PGH Building, University of Houston, Houston, Texas 77204-3008
Phone: (713) 743-3500 - Fax: (713) 743-3505
|
|
