Introduction to Statistics
A course covering descriptive statistics, basic rules of probability, discrete probability distributions, normal distribution, sampling distributions, confidence intervals and test of hypotheses for means, difference of means and variance, t and chi-square distribution and proportion.

Introduction to Set Theory
A course covering the review of principles of logic, valid arguments and methods of proof; axioms on sets; algebra of sets; relations and functions; the number systems; mathematical induction; countable and uncountable sets; axiom of choice and the continuum hypothesis; ordering and ordinals.

Modern Algebra
A course in sets and mappings, partitions and equivalence and relations; properties of integers, groups and subgroups, normal subgroup and factor group, fundamental homomorphism theorem for groups, isomorphism theorems; and Cayley’s theorem.

Discrete Mathematics
Includes topics in deductive logic and its function in verifying the correctness of the programs, elementary set theory, induction, binary relations and diagraphs.

Linear Algebra
A study in systems of linear equations, vector space, linear dependence, bases, dimensions, linear transformations, matrices, determinants, eigenvalues and eigenvectors.

Differential Calculus
Review of limits and derivatives of elementary functions. Inverse trigonometric functions and their derivatives. L’Hospital’s rules. The definite integral. Fundamental theorem of Calculus. Simple substitution. Applications including areas of regions and volumes of solids of revolution.

Integral Calculus
Students who intend to pursue a degree in actuarial science, applied mathematics, astronomy, mathematics, physics, or statistics should take this course. Techniques of integration; The Mean Value Theorem and its consequences; series, Taylor series with applications; parametric and polar curves with applications; first order linear and separable differential equations with applications.