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B.S. in Mathematical Sciences
Student Learning Outcomes for the program. List the Student Learning
Outcomes for the program.
Upon completion of the bachelor’s degree in mathematical sciences, students would be able to
demonstrate knowledge of mathematical sciences, analyze mathematics concepts, do problemsolving in mathematics, and do applied problems including the following areas:
MATH 181 & 182
MATH 283
and applications.
a. Limits, Differentiation and integration, sequences and series.
Vectors, multivariable calculus, partial derivatives, multiple integrals
MATH 251
probability.
b. Set theory, graphs and digraphs, mathematical induction, combinatorics,
MATH 330
MATH 365
applications.
c. Linear algebra including matrices and applications.
Matrices, systems of equations, linear programming, determinants,
MATH 427
d. Techniques for solving ordinary differential equations, Laplace
transform, Fourier Series, and
applications.
MATH 451
e. Introductory logic, set algebra, Boolean algebra, and applications.
MATH 453
f. Groups, rings, fields, and vector spaces.
MATH 455
g. Elementary theory of numbers including divisibility, congruences,
primitive roots, Diophantine
equations, continued fractions,
algebraic numbers, and partitions.
MATH 457
h. Finite & infinite sets, sequences of functions, continuous functions,
differentiation of functions of one
variable.
MATH 459
and applications.
i. Complex numbers, analytic functions, integration, conformal mapping,
MATH 461
j. Probability theory, Random variables, binomial, and other distributions.
Central limit theorem and other concepts in field of statistics.
MATH 483
quotient spaces.
k. Topological spaces, compactness, continuous functions, product and
MATH 488
l. Partial differential equations and applications.
STAT 411
m. Statistical methods, elements of probability, statistical sampling, testing
hypothesis, and applications.