University of Maine at Farmington 2008-2009 Catalog
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Mathematics
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Degree Earned
Bachelor of Arts: Mathematics
About The Program
The
program is designed to prepare students for graduate study or a career
in a mathematical field. As such, the program conforms to the
guidelines of the Mathematical Association of America, and in addition
gives students material and tools of theory, abstraction and inquiry
that would be useful in a graduate mathematics program.
Learning Goals and Outcomes
Goals for Students who Major in
Mathematics
General
G1. Students will become lifelong learners of mathematics.
G2. Students will explain how they know mathematical truths, and
prove some of the basic ones.
G3. Students will express mathematical ideas verbally and in writing.
G4. Students will identify major mathematicians and explain and
critique the major ideas of mathematics.
G5. Students will apply problem-solving techniques to problems they
have never seen before.
G6. Students will be familiar with the use of technology in the service
of mathematics.
Specific
S1.
Students will identify the properties and graphs of the elementary
functions: that is, polynomials, rational functions, exponential
functions, logarithms, trigonometric functions and their inverses, and
hyperbolic functions.
S2. Students will differentiate
combinations of elementary functions, including functions of several
variables. Students will be able to apply all of the basic integration
techniques.
S3. Students will perform what might be thought of
as the core skills of linear algebra: in particular, matrix and vector
calculations, for instance, determination of whether a set of vectors
is linearly independent, or mutually orthogonal.
S4. Students
will solve problems from probability involving set theory, combinations
and permutations, and probability distributions.
S5. Students will use the basic ideas of statistics, including
identifying methods for attacking various statistics problems.
S6.
Students will use logic and set theory in the service of other areas of
mathematics, in particular to understanding and proving abstract
statements in abstract algebra and elsewhere.
S7. Students will apply mathematical ideas to problems from other
disciplines.
Requirements (For course descriptions click on a
course number below)
MAJOR
REQUIREMENTS
MAT
141M Calculus I
4
MAT
142 Calculus II
4
MAT 151M Foundations of Mathematics 4
MAT
220M Data
Analysis
4
MAT
241 Calculus III
4
MAT
251 Linear Algebra
4
MAT
352 Abstract Algebra 4
MAT
371 Mathematical Probability
4
Subtotal: 32
Three electives numbered MAT
300 or higher, other than MAT
313; including two numbered MAT
400 or higher.
Subtotal: 12
Total credits for
the Major: 44
FOREIGN
LANGUAGE REQUIREMENT
One year of one foreign language at the college level or two years of
one foreign language at the high school level.
Total Credits 0-8
GENERAL
EDUCATION REQUIREMENTS
For specific information about general education requirements and
expectations, see the General
Education Requirements in the Academic Programs section of this catalog.
MINIMUM
TOTAL CREDITS FOR THE
DEGREE 128
MATHEMATICS MINOR
MAT
141M Calculus I
4
MAT
142 Calculus II
4
MAT
151M Foundations of Mathematics
4
Two courses in
Mathematics numbered above 200
but not MAT
313
8