Mathematics and Statistics Program

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

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.

This course is for Biology students taking midyear class of Math 40. The course contains discussion on limits, continuity, derivatives, integrals, separable differential equations and their various applications to life sciences.

This introductory course in Statistics will provide you a background on conducting a statistical inquiry that is essential for performing research works. The basic concepts in Descriptive Statistics and Inferential Statistics are systematically and comprehensively presented in this course to guide you in designing a research study.

The course will discuss topics on Algebra of complex numbers, analytic functions, elementary complex functions, complex integration, and the residue theorem and its applications.

Probability and non-probability sampling; simple random, systematic, cluster, stratified, and multi-stage sampling designs; applications.

Descriptive and inferential statistics in biological sciences.

Computer-assisted regression and time series analyses to build predictive models for business decision making.

Use of statistical software, such as SPSS, TimeSeriesLab, KNIME Analytics, Python, and RStudio, for database management and statistical analysis.

This course covers the notions on graph characterization and operations; graphs and algorithms; trees, connectivity, traversability, matching and 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.

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 allows the students to enhance their 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.