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- Subject
- MATH
- Type
- course
- Edition
- 2025-2026
- Source
- www.framingham.edu
52 courses with the subject MATH, each shown exactly as we captured it from the college's catalog, with every element we hold. Where the wording looks broken, that is our reading of the catalog, not the college's text.
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An immersion in quantitative problem-solving, as it relates to real-world scenarios, in order to facilitate making informed decisions. Topics related to numbers in the news, financial mathematics, mathematical modeling, and probability and statistics enable students to sharpen arithmetic and algebra skills. An emphasis is placed on critical reading, sound reasoning, and precise oral and written communication in various applied situations. This course includes an additional a one-hour per week lecture recitation. Topics may vary by section at the discretion of the instructor with the goal of supporting students' readiness for, and success, in the lecture course. ~ Page 180 ~
Fall 2018: Yes; Spring 2019: No; Fall 2019: Yes; Spring 2020: No; Fall 2020: Yes
Domain I-A: ____ Any Course from Domain I-A Domain I-B: ____ Any Course from Domain I-B Domain I-C: ____ Any Elementary or Intermediate Language Course Domain II-A: MATH 120 Mathematics for Elementary Educators II Domain II-B (Two (2) courses required): BIOL 101 Biological Concepts
An exploration of numbers, their representations, relationships, and uses; arithmetic; elementary set theory; basic logic; geometry; measurement; probability; and statistics. This course offers a college- level treatment of content areas of interest to prospective early childhood and elementary teachers. Problem solving and the communication of mathematical ideas, both verbally and algebraically, are woven throughout the course. This course includes an additional a one-hour per week lecture recitation. Topics may vary by section at the discretion of the instructor with the goal of supporting students' readiness for, and success, in the lecture course. Note: Students may not receive credit for both this course and MATH 113 Introduction to College Mathematics.
Program Core Courses (7):
Domain II-B (Two (2) courses required):
Required Restricted Electives (Five (5) courses):
An exploration of numerical, graphical, and symbolic approaches to algebraic concepts with emphasis on real-world applications, modeling, and problem-solving skills. Topics include polynomials, rational expressions, equations and inequalities, systems of linear equations, matrices, and the connection between functions and their graphs. This course includes an additional a one- hour per week lecture recitation. Topics may vary by section at the discretion of the instructor with the goal of supporting students' readiness for, and success, in the lecture course.
Choose three (3) courses from the following, at least one (1) at the 300-level:
Fall 2018: No; Spring 2019: Yes; Fall 2019: No; Spring 2020: Yes; Fall 2020: No
NOTE: The prerequisite undergraduate courses in Human Anatomy and Physiology I & II, and Biochemistry, if taken elsewhere, must be equivalent to those offered at Framingham State University. Furthermore, these courses must have been successfully completed within the last five (5) years. Program Core Courses (4):
Social science perspectives, restricted electives: Choose one (1) from the following list (depending on branch of engineering interest)
GENERAL CHEMISTRY CONCENTRATION (UCHG) Concentration Requirements (7):
A study in problem solving involving challenging problems from a variety of areas of mathematics. Such areas may include geometry, algebra, combinatorics, and graph theory. Polya's stages of problem solving and other problem-solving techniques, such as the pigeonhole principle and extreme principle, may be considered. Additional time may be spent studying problems from math competitions. each with a minimum grade of C (2.00) or higher.
A survey of the foundations of calculus of a single complex variable. Topics include defining the complex plane, differential calculus of complex functions, elementary functions on the complex plane, the Cauchy-Riemann equations, contour integrals, the Cauchy Integral Formula, Liouville’s Theorem, and the Fundamental Theorem of Algebra.
An introduction to the basic techniques and reasoning of combinatorial problem-solving. Topics from graph theory studied include the types of graphs, planarity, coloring theorems, and an introduction to Ramsey theory. Topics from enumerative combinatorics studied include counting principles, inclusion/exclusion, the pigeonhole principle, combinations, permutations, binomial identities, and generating functions. and MATH 220 Calculus II or permission of instructor.
An in-depth examination of topics in mathematics at a level beyond that of introductory courses. Topics vary depending on the interests of the instructor and may be interdisciplinary. This course may be taken twice, provided a different special topic is offered. or higher and MATH 220 Calculus II, or permission of the instructor. Additional prerequisites may be required dependent upon topic.
Five (5) mathematics or statistics electives from the following:
A further study of the essential topics of abstract algebra including: normal subgroups, ideals, polynomial rings, and Galois Theory. Additional topics are addressed to establish connections to applications in modern mathematics.
Student research on a topic or topics in higher mathematics or computer science. Suggested areas include applied algebra, numerical analysis, and mathematical physics. The student should make arrangements with the faculty member who is to direct the work one semester in advance of the work.
The student is encouraged (and assisted to whatever extent possible) by the Mathematics Department to seek employment during summers or part time during the school year, involving non-trivial applications of mathematics. In this manner the student can earn up to three (3) course credits, the amount of credit being decided by the student’s advisor and the department chair.
Practical aspects of data analysis using statistical computer packages such as MINITAB, SPSSX, and BMDP. Multivariate statistical methods including multiple regression, analysis of covariance, factor analysis, multidimensional scaling, discriminant analysis and linear models for cross-classified categorical data are emphasized. Students do individual data analysis projects.
A study in problem solving with the development of banks of problems appropriate to various grade levels and selected from arithmetic, informal geometry, logic, measurement, number sequences, probability, and statistics, challenging enough to provoke interest, but realistic enough to be successful experiences. Heuristic problem-solving techniques, Polya’s stages of problem solving, specific strategies, and pedagogical issues are studied.
A precise, rigorous examination of the axioms and concepts of various geometries. Euclidean, non- Euclidean, and transformational geometries are investigated. ~ 75 ~
A study of the algebraic structures, groups, rings, integral domains, fields, and polynomials. Note: Students may not receive credit for both this course and 43.835 Algebraic Structures I (formerly Modern Algebra).
A study of sample spaces, events as subsets of a sample space, probability, axioms, combinatorics applied to probability problems, random variables and their distributions, special distributions, multivariate distributions, central limit theorem, and topics in statistical inference.
A study of estimation, decision theory and hypothesis testing, linear models, regression, analysis of variance, analysis of categorical data, nonparametric inference.
An exploration of an advanced topic in mathematics or computer science. The particular topic is announced at least one semester in advance.
Set theory, relations and functions, properties of the real number system, topology of the real line, introduction to metric spaces, limits of sequences and functions, continuous functions, differentiation, the Riemann-Stieltjes integral.
Designed for middle and high school teachers and includes such topics as a comparison between the metric and synthetic approach to geometry, polygons, polyhedra, tessellations, constructions, proof techniques, transformations, symmetry, and geometric modeling. These topics are also used to suggest methods and approaches to the teaching of geometry.
Designed for middle and high school teachers and investigates the fundamental concepts of algebra. The topics will include real and complex numbers, binary operations and their properties, set theory, functions, polynomials, equations, algebraic structures, graphing, and related topics.
A study of collective action, cooperation, and social choice theory through the lens of mathematical game theory, specifically the Prisoner's Dilemma game. Topics include the effect of group size and selective incentives on the likelihood of success in a one-off group action, strategies that individuals employ in repeated group interactions, and how cooperation can evolve if members of the group have repeated interactions. Special attention is paid to the above topics in the context of a math classroom.
A study of the summation and product notations, recursion, figurate numbers, divisibility, greatest common divisor, the Euclidean algorithm, lowest common multiple, and consequences. The course offers numerous opportunities for experimentation and exploration, and for conjecturing the myriad properties of Pascal’s triangle, Fibonacci and Lucas numbers, Catlan numbers, Fermat numbers and Pell numbers. Note: Students cannot receive credit for this course if they have already completed
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A continuation of MATH 908 Geometry for Middle and High School Teachers I in which students investigate finite, taxicab, spherical, and non-Euclidean geometrics with an emphasis on hyperbolic geometry. Applications of these geometries to real life problems and other areas of mathematics are surveyed. Students create modules adapting this material to their classrooms. for Middle and High School Teachers.
Designed for middle and high school teachers and emphasizes the study of a variety of types of problems and the strategies that might be used to solve them. One of the important objectives of the course is to immerse teachers in a problem-solving atmosphere that encourages them to make connections to previously learned concepts, to the different areas of mathematics and to the Grades 6-12 curriculum. Topics include problems from the fields of logic, set theory, geometry, number theory, algebra, analysis and probability.
An in-depth investigation of the development of Calculus, with a careful treatment of the limit concept with regard to differentiation and integration. The investigation includes various applications of these operations and connects them to familiar problem situations. The importance of algebra and trigonometry skills are illustrated and emphasized. School Teachers.
A continuation of MATH 933 Calculus I for Middle and High School Teachers. This course investigates the use of the limit concept in the development and application of the concept of integration. The investigation includes the topics of sequences, series, numerical integration and topics related to the Advanced Placement courses presently offered at most high schools.
Student research on a topic or topics in higher mathematics or computer science. Suggested areas include applied algebra, numerical analysis, and mathematical physics. The student should make arrangements with the faculty member who is to direct his/her work one semester in advance of the work.
Source: Framingham State University's catalog, linked per course · table learning_unit · CourseShelf publish 61