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The intended learning
outcomes for students
pursuing a Bachelor of
Science degree in
mathematics
are indicated in the
following sections:
1)
Students will know and
be able to interrelate a
core of basic
mathematical concepts.
1. Students understand the function concept, and they
can apply it in a
variety of contexts.
2. Students understand the calculus concepts of limit,
derivative, and definite
integral, and
they can
explain how the three
are related.
3. Students are able to investigate and describe the
behavior of functions
defined by
infinite
series.
4. Students know properties of vectors and vector
operations in the plane
and in space.
5. Students know properties of matrix algebra, and they
are able to use matrices
in a variety
of contexts.
6. Students are familiar with some discrete
mathematical concepts
and related results.
7. Students know basic properties of probability and
probability
distributions and how
these
are applied
to problems involving
uncertainty.
8. Students know fundamental principles and procedures
of data analysis.
9. Students are familiar with the fundamental algebraic
structures of group,
ring, and field
as well as
related results.
2)
Students will be able to
use a variety of problem
solving strategies.
1. Students are able to use algebraic techniques to
solve problems involving
equations,
systems of
equations, and
inequalities.
2. Students are able to use functions as mathematical
models and to
investigate their
behavior
analytically,
numerically, and
graphically.
3. Students are able to solve problems using tools of
differential and
integral calculus.
4. Students are able to use vectors and matrix algebra
to solve problems
involving
geometric
concepts, physical
systems, and data
analysis.
5. Students are able to solve problems using tools of
discrete mathematics
including
modular
arithmetic, mathematical
induction, counting
principles, algorithms,
and
graph theory.
6. Students are able to use probabilistic reasoning and
procedures of
statistical analysis
to solve
problems involving data.
3)
Students will be able to
construct and
communicate valid
mathematical arguments.
1. Students are able to distinguish between inductive
and deductive reasoning.
2. Students are able to recognize and follow valid
mathematical arguments.
3. Students are able to use different methods of
proving conjectures,
including direct argument,
contradiction, contrapositive, and mathematical induction.
4. Students are able to verify falsity of conjectures
by supplying counter examples.
5. Students are able to effectively communicate
mathematical reasoning,
both orally and in
writing.
4)
Students will be able to
apply mathematical
skills to problems in
other disciplines.
1. Students are able to apply methods of calculus to
problems in the physical, social,
and life
sciences.
2. Students are able to use vectors and matrix algebra
to solve problems in the physical
and
social sciences.
3. Students are able to use discrete mathematical
concepts in the contexts of algorithm
development and computer
programming.
4. Students are able to apply procedures of statistical
analysis to problems in the
physical and
social sciences.
5)
Students will be able to
make use of technology
as a problem solving
tool.
1. Students are proficient in the use of a graphing
calculator.
2. Students are proficient in the use of a computer
algebra system.
3. Students are experienced in the use of an electronic
spreadsheet
and statistical software.
4. Students are able to program computers in a
high-level language.
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