This course is designed for college students who need a review in preparation for further study of college-level mathematics, and it does not fulfill the B.A/B.S. core requirement in mathematics.

This course is designed for diverse students to acquire a solid foundation in non-calculus mathematics. It uses practical mathematics to develop problem solving and analytical skills. Topics include linear equations, linear inequalities, matrix and its application, linear programming, and the simplex method.

This is an introduction to the basic descriptive and inferential statistics for students from all disciplines. It emphasizes the development of statistical literacy and the use of computer for analyzing data. Topics include principles of experimental design; graphical and numerical methods for summarizing, describing, exploring and analyzing data; binomial and normal probability distributions; point and interval estimates for means and proportions; hypothesis testing; and correlation and regression.

This course is an overview of algebra, trigonometry and analytic geometry. It is designed to provide students with a comprehensive and mathematically sound treatment of topics needed for calculus. The topics include, functions and graphs; polynomial, rational, exponential, logarithmic, and trigonometric functions; matrices; vectors; and three-dimensional coordinate geometry.

This is women focused, empowering students to take ownership of their lives and learning by engaging them in transformative, purposeful leadership opportunities. Introducting women role models in Science, Technology, Engineering, and Mathematics (STEM). Providing women's role models in STEM, the challenges, struggles, and contributions.

This course is designed for students who plan to teach. It involves a study of Number & Operations with the depth required for successful mathematics instruction. Topics include, but are not limited to, mathematical processes; operations and properties of integers, whole numbers and rational numbers; computation algorithms; and basic number theory.

This course is designed for students who plan to teach. It involves a study of Number & Operations and Functions & Algebra with the depth required for successful mathematics instruction. Topics include, but are not limited to, proportional reasoning; number systems, signed numbers, and the real number line; variables, algebraic expressions and functions; solving equations; exploring graphs of equations; and connecting algebra and geometry.

This course is designed for students who plan to teach. It involves a study of Geometry & Measurement and Statistics & Probability with the depth required for successful mathematics instruction. Topics include, but are not limited to, basic geometry concepts; measurement and unit conversions; using descriptive statistics and graphs to summarize data; measures of central tendency (mean, median, and mode) and dispersion (range, standard deviation, etc.); permutations, combinations, and their applications in computing probability; sample space, simple /compound events, independent/dependent events, and conditional probability.

This course is part of a two-semester sequence (221-222), covering materials on limits, continuity, derivative of a function, techniquest of differentiation, and applications of derivatives. It prepares students for further study of MAT222, Calculus II. This is an applied calculus course with less emphasis on theoretical rigor. Instead, the emphasis is on basic concepts, methods, and applications.

This course is part of a two-semester sequence (221-222), covering materials on techniques of integration, differential equations, and their applications. This is an applied calculus course with less emphasis on theoretical rigor. Instead, the emphasis is on basic concepts, methods, and applications.

This course offers more techniques of calculus in two and three dimensions. Topics include partial differentiation, multiple integration, sequences and series, three-dimensional vector calculus, line and surface integrals, and their applications.

This course introduces students to concepts and techniques from discrete mathematics that are extensively used in the field of computer science. Students will learn strategies in how to think logically and mathematically and apply their knowledge in solving problems. Topics include logic, proofs, set theory, relations, trees, counting, discrete probability theory, and graphing.

This course offers basic concepts of linear algebra. Topics include matrices, determinants and eigenvalues, linear systems, vector spaces, linear transformations, and their applications.

This is an applied statistics course for students to understand and use statistical methods in research and applications. Topics include estimation and hypothesis testing, analysis of variance, simple and multiple linear regression, correlation, model building, analysis of categorical data, and nonparametric statistics. The course has a large data-analytic component using a statistical computing software package.

This course explores the relationship between the study of arithmetic and of algebra in grades K-8. Teachers explore selected mathematical concepts at an adult level and discuss how children develop an understanding of it. They explore ways to facilitate classroom learning, and effective activities and materials that enhance learning of algebraic concepts and skills. They learn how to use vertical acceleration to connect arithmetic to algebra.

Study of math curriculum content, methods, strategies and activities for teaching at the secondary level, according to Puerto Rico Department of Education current regulations. The course also includes the analysis of the new models based on the recent research in the teaching.

This course provides teachers with a strong foundation in effectively using technology in mathematics classrooms, K-12. They develop and implement comprehensive lessons for teaching mathematical concepts and skills using calculators, graphing calculators, computer graphing, algebra and geometry software, and internet resources. This course makes educational technology an integral component of the teaching, learning, and assessment of mathematics instruction and learning. Pre-practicum hours of directed field-based training required.

This course focuses on the major components of a college level course in algebra: real, rational, and irrational numbers; linear, radical, and quadratic equations and inequalities; functions and graphs; polynomial, rational, exponential, and logarithmic functions; conic sections; systems of equations and inequalities; and sequences and series. Pre-practicum hours of directed field-based training required.

This course emphasizes the fundamental ideas of Euclidean geometry with a focus on logic, observations, predictions, and conclusions. Significant geometric properties and concepts are explored through the systematic presentation of the axioms, definitions, constructions, and theorems of classical geometry. Major topics include: the foundations of geometry, direct proofing techniques, triangles, parallel lines, and polygons, right triangles and the Pythagorean theorem, circles, and solid geometry. Pre-practicum hours of directed field based training required.

This course promotes collaboration between mathematics and special educators to improve instruction and outcomes for all students, including students with disabilities. This course provides a structure for developing shared visions, common language, foundational knowledge of mathematics instruction, and the instructional needs of math students with disabilities. The Mathematics Curriculum Frameworks serve as a foundation for high quality core curriculum and instruction addressing conceptual understandings and practices that are an essential part of rigorous math expectations.

This course focuses on trigonometric and calculus concepts by providing numerical, graphical, and algebraic approaches for a clear understanding and mastering of the material. Course activities are placed in a context of real-world problems which enable students to create mathematical models that will help them understand the world in which they live. Major topics include: continuity, limits’ derivative of a function, anti-differentiation, definite integral, and the Fundamental Theorem of Calculus.

This course is designed to cover the major components of discrete mathematics by studying the connections among mathematics topics and real-life events and situations, emphasizing problem solving, mathematical reasoning and communications. Major topics include: counting and number systems; combinatorics; codes; recurrence relations; graphs and networks; and matrix operations. Pre-practicum hours of directed field-based training required.

This course will show how the historical perspective accentuates many different approaches to problem solving thus allowing mathematics to take on an international, multicultural flavor. It will illustrate how mathematics history creates a bridge from the past to the future and how students can learn to value mathematics more by being exposed to its historical and cultural contexts. Major trends in mathematical thought are introduced, as well as the interplay of mathematical and technological innovations, and the contributions of great mathematicians.

This course covers the teaching pedagogy of the basic foundation of the mathematics curriculum in terms of its numerical and geometric structures. Major topics include number sense, numeration, estimation, mental math, modeling operations using concrete objects, geometry, spatial sense, and measurement. Pre-practicum hours of directed field-based training required.

This course focuses on integers and their application in a technologyrich world. Major topics include: prime numbers, Diophantine equations, congruences, quadratic-residues, order of a number mod p, Fermat’s Little Theorem, Euler’s Theorem, and Gauss’s Lemma. Applications to check-digits and encryption covered as well.

This course focuses on why no formula solution to the quintic equation is possible by presenting all the concepts necessary for the construction of Galois Theory. This includes the study of finite groups, fields, and field extensions. Consideration is also given to various morphisms; as well a rings and integral domains. Some time is spent on classical algebra including exact solutions to the cubic and quartic polynomials.

This course reviews a variety of approaches to the axiomatic developments of Euclidean plane geometry; followed by a treatment of non-Euclidean geometries, and the geometric properties of transformations, particularly isometries. Pre-practicum hours of directed field-based training required.

This course begins with a thorough review of the Calculus I. It then proceeds to cover integration techniques in some depth. This will include integration-by-parts, u-substitution, and trigonometric substitution. Power series and their applications are covered as well.

This course focuses on how probability and statistics can reveal a more complete picture of the world, by emphasizing concepts and applications from a wide range of fields. Major topics include: concept of sample space; descriptive measures; probability and sampling distributions; estimation and hypothesis testing; analysis of variance; correlational analysis; regression analysis; experimental design; modeling; and decision criteria. Pre-practicum hours of directed field-based training required.

This course focuses on major areas of applied mathematics. This includes matrix theory, differential equations and Fourier analysis. Under matrix theory, linear transformations and diagonalization are covered in some depth, and the Cayley-Hamilton Theorem is proved. Under differential equations, linear versions are explored using an operator approach which motivates development and application of Laplace transforms. Finally we cover Fourier series after an advanced review of trigonometry.