Jeffrey T. Hoag
Office: Howley Hall 200
TEL: (401) 865-2464
Email: jhoag@providence.edu
Department Chairperson |
 |
Spring 2008 Class Schedule
| COURSE |
MTH 324 |
MTH 324 |
| DAYS |
M W F |
M W F |
| TIME |
8:30-9:20 |
2:30-3:20 |
| ROOM |
H 309 |
H 416 |
Office Hours: M W F 10:00-noon & by appt.
Last Modified: January 14, 2008
Research Interests:
Non-linear difference equations of order two or more
Functional differential equations
Conditions for Uniqueness of solutions to ODE initial value problems
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Teaching interests:
GEOMETRY (MTH 309)
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This course is required for students in the Mathematics/Secondary Education
major and is taken as an elective by many Mathematics majors. The course begins
with a brief look at the geometry that was known to the ancient Greeks and how
they used it not only in engineering problems, but to determine such quantities
as the size of the earth and the distance to the moon. We then study systems of
axioms in general and the Euclidean Axioms in particular. Other topics:
Classical results about triangles and circles, Construction (Can a line segment
be trisected using only straight edge and compass? Can an angle be trisected
using only these tools?), Transformations of the plane and Non-Euclidean
Geometries. Other topics as time permits. Prerequisite: MTH 132 (Calculus &
Analytic Geometry II)
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ADVANCED CALCULUS I & II (MTH 323-324)
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This two semester sequence is taught each year by me or other members of the
department. It is required for Mathematics and Mathematics/Secondary Education
majors. In this course we look at the theory of calculus. Many of the ideas
(limit, derivative, integral etc.) will be familiar to you from the introductory
calculus sequence, but there the focus was on problem solving and applications.
In this course the emphasis is on proving theorems and the logical foundation of
the subject.
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MODERN ALGEBRA (MTH 315)
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This is taught each Fall semester by me or another member of the department.
It is required for Mathematics and Mathematics/Teacher Prep. majors. Topics
include: Sets, Functions, Binary Operations, Mathematical Induction, Groups,
Homomorphisms, Rings, Fields. A major goal for students in the course is
to gain experience in reading and writing mathematical proofs.
