Mathematics and Statistics Program

Graph characterization and operations
graphs and algorithms
trees
connectivity
traversability
matching
factorization
planarity
colorability
digraphs and tournaments
binomial and multinomial coefficients
pigeonhole principle and Ramsey numbers
the principle of inclusion and exclusion
generating functions
recurrence relations

Basic concepts
problem formulation
graphical solution for two-variable problems
simplex algorithm and other algorithms for special LP problems
duality
sensitivity analysis

Binary operations, algebraic systems such as semigroups, rings, integral domains, fields, extensions

This course covers matrices, systems of linear equations, vector spaces, linear independence, linear transformations, determinants, eigenvalues and eigenvectors, diagonalization, and inner product spaces.

This course is one of the general education (GE) courses of the UP system. The course primarily allow students to appreciate the beauty and power of mathematics through the examination of its nature, development, utility, and relationship with culture and society.

Limits, continuity, derivatives, differentials, antiderivatives, definite integrals and their applications to management, business and economics. 

Math 54 (Elementary Analysis II) is the second course in the calculus series and is a continuation of Math 53 (Elementary Analysis I). This course enhances students’ knowledge and skills in calculus. The content of the course focuses on techniques of integration, improper integrals, sequences and series, power series, differential calculus of functions of two or more variables, and double integrals