The BMCC Department of Mathematics offers an Associate of Science (A.S.) degree in Mathematics. If you like solving problems and learning techniques to do more sophisticated ones, math may be a good field for you. Math majors find many interesting career paths such as becoming a data scientist, an actuary, an economist, a research or financial analyst or a teacher. Math is a solid foundation for careers in fields like medicine, software engineering, astronomy and insurance.
Our program will prepare you for work as well as continuing your studies at a 4 year college. Whatever direction you take in the future, a background in math will prove to be an asset.
As a math major, you will have a personal connection with Math Department faculty and support for your career plans. You will be assigned an advisor who will be there for you throughout your academic career at BMCC. This personal approach and guidance will help you in every step of the way up until your graduation from BMCC. You will also get information about transferring to a four-year college, applying for scholarships and internships,
Transfer Options
BMCC has articulation agreements with several four year colleges to allow you to seamlessly continue your education there without any loss of credits.
Explore Careers
BMCC is committed to students’ long-term success and will help you explore professional opportunities. Undecided? No problem. The college offers Career Coach for salary and employment information, job postings and a self-discovery assessment to help students find their academic and career paths. Visit Career Express to make an appointment with a career advisor, search for jobs or sign-up for professional development activities with the Center for Career Development. Students can also visit the Office of Internships and Experiential Learning to gain real world experience in preparation for a four-year degree and beyond. These opportunities are available to help BMCC students build a foundation for future success.
Requirements
Mathematics Academic Program Maps
Required Common Core
English Composition | 6 |
Mathematical and Quantitative Reasoning1 | 3 |
Life and Physical Sciences2 | 3 |
TOTAL REQUIRED COMMON CORE | 12 |
Flexible Core3
Creative Expression | 6 |
Individual and Society | 3 |
Scientific World4 | 3 |
U.S. Experience in Its Diversity | 3 |
World Cultures and Global Issues | 3 |
TOTAL FLEXIBLE COMMON CORE | 18 |
TOTAL COMMON CORE | 30 |
Curriculum Requirements
- This is an integrated course in analytic geometry and calculus, applied to functions of a single variable. It covers a study of rectangular coordinates in the plane, equations of conic sections, functions, limits, continuity, related rates, differentiation of algebraic and transcendental functions, Rolle's Theorem, the Mean Value Theorem, maxima and minima, and integration.
Prerequisite: MAT 206 or MAT 206.5
Course Syllabus - This course provides an introduction to the concepts of formal integration. It covers the differentiation and integration of algebraic, trigonometric, and transcendental functions. Topics include the definite integral, the antiderivative, areas, volumes, and the improper integral.
Prerequisite: MAT 301
Course Syllabus - This course is an extension of the concepts of differentiation and integration to functions of two or more variables. Topics include partial differentiation, multiple integration, Taylor series, polar coordinates and the calculus of vectors in one or two dimensions.
Prerequisite: MAT 302
Course Syllabus - This course covers matrices, determinants, systems of linear equations, vector spaces, eigenvalues and eigenvectors, Boolean algebra, switching circuits, Boolean functions, minimal forms, Karnaugh maps.
Prerequisite: MAT 302, or permission of the department
Course Syllabus
Program Electives (Choose 4 courses for a total of 12 credits:)
- This course is a continuation of CSC 110. Students are introduced to elementary data structures, string processing, and searching and sorting techniques. Students are expected to complete several complex programs.
Prerequisite: CSC 110, CSC 111 or departmental approval
Course Syllabus - This is a second course in programming which will further develop those skills gained in CSC 111 emphasizing reliability, maintainability, and reusability. Students will be introduced to applications of Pointers, Dynamic memory allocation, Arrays, Abstract data types, Objects, classes, and object-oriented design. Additional programming topics such as Inheritance, Polymorphism, Text Processing, Exception Handling, Recursion and Templates will also be covered. Prerequisite: CSC 111 or departmental approval
- This course covers fundamental mathematical topics associated with computer information systems, including: numeration systems; sets and logic; Boolean algebra, functions, and elementary switching theory; combinatorics; mathematical induction; permutations; combinations; binomial coefficients; and distributions.
Prerequisite: MAT 12 or MAT 51; and MAT 56 or MAT 56.5 or MAT 206.5.
Course Syllabus - This course covers statistical concepts and techniques with applications. Topics include probability, random variables, the binomial distribution, the hyper-geometric distribution, measures of central tendency, the normal distribution, precision and confidence intervals, sample design and computer projects.
Prerequisite: MAT 206 or MAT 206.5
Course Syllabus - An introduction to Euclidean geometry and some topics from Non-Euclidean Geometry. Topics to be covered in Euclidean geometry include foundations of geometry such as lines, angles, triangles, polygons, circles, solids as well as coordinate geometry and transformations. Non-Euclidean geometry will cover a brief introduction to axion systems, parallelism and hyperbolic geometry. Prerequisite: MAT206 or the equivalent with departmental approval
- This course is designed to prepare students for an advanced mathematics curriculum by providing a transition from Calculus to abstract mathematics. The course explores the logical and foundational structures of mathematics, with an emphasis on understanding and writing proofs. Topics include logic, methods of proof, mathematical induction, axiomatic approach to group theory, number theory, set theory, relations and functions, Cantora??s theory of countability, and the development of the real number system. Throughout the course, students will be actively engaged in understanding, verifying and writing proofs, and will be introduced to methods of mathematics research.
Corequisite: MAT 302
Course Syllabus - This course covers the standard material comprising an introduction to group and ring theory: set theory and mappings; groups, normal subgroups, and quotient groups; Sylow's Theorem; rings, ideals, and quotient rings, Euclidean rings, polynomial rings.
Corequisite: MAT 315
Course Syllabus - This is a first course in the theoretical and applied aspects of ordinary differential equations. Topics include: first-order equations, exact equations, linear equations, series solutions, Laplace transforms, Fourier series, and boundary value problems.
Prerequisite: MAT 302
Course Syllabus - The course follows the growth of mathematics from its empirical nature in Egypt and Babylonia to its deductive character in ancient Greece wherein the roots of the calculus will be identified. The concept of number and the development of algebra, with Hindu, Arabic, and medieval contributions are discussed. The rise of analytic geometry, the calculus, and the function concept are examined. Finally, the trend towards greater rigor and abstraction is considered including formal axiomatic systems and Godel's Incompleteness Theorem.
Prerequisite: MAT 302
Course Syllabus - The course presents the logical structure on which the foundations of the calculus have been based: construction of the real number system, mathematical induction, limits and continuity in precise formulation, functions of several variables, point sets in higher dimensions; uniform continuity, and elements of partial differentiation.
Prerequisite: MAT 303 or departmental approval
Course Syllabus
Note
Please note, these requirements are effective the 2021-2022 catalog year. Please check your DegreeWorks account for your specific degree requirements as when you began at BMCC will determine your program requirements.
Footnotes
- Students are required to take MAT 206.
- Students are required to take BIO 210, CHE 201, PHY 210, or PHY 215.
- No more than two courses in any discipline or interdisciplinary field can be used to satisfy Flexible Core requirements.
- Students are required to take BIO 220, CHE 202, CSC 110, CSC 111, PHY 220, or PHY 225.
- These credits can be satisfied by taking STEM variants in the Common Core. If student is planning to take CSC 210 or CSC 211, then CSC 101 may count towards General Elective.