Mathematics and Statistics Program

This is the last Calculus series. This course covers the notions on three-dimensional coordinate systems, vectors,  distance and spheres and surfaces, dot and cross product and direction angles and cosines.

This is the first of three courses in the calculus series. In this course, we will study the following: limits, continuity, derivatives and their applications, differentials, antiderivatives, and definite integrals and their applications. 

This is the first part of the Calculus series. Topics include review of functions, limits and continuity of functions, derivatives, antiderivatives, and integrals.

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

Group representation, equivalences, invariant subspaces, morphisms, decomposability, reducibility, Schur's lemma, character, orthogonality relations, character table, Frobenious divisibility

Principles of logic, methods of proof, mathematical induction, quantifiers, sets, Russell's paradox, relations, functions, cardinality of sets 

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.

Joint, marginal, and conditional distributions; independence of several variables; distributions and expectations of functions of random variables; characterization of F, t, χ2 distributions, limit theorem.

Linear regression model; model selection; regression diagnostics; use of dummy variables; remedial measures

This is the first part of Calculus series. The topics in this course involve functions, limits and continuity of functions derivatives, integrals, antiderivatives, rectilinear motions and volumes of solids of revolution. 

This is the last Calculus series. This course covers the notions on three-dimensional coordinate systems, vectors,  distance and spheres and surfaces, dot and cross product and direction angles and cosines.

Computer-assisted Statistical analysis on the following: tests for means; tests for proportions; tests for independence; simple linear regression; Analysis of variance; forecasting using classical techniques.