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Dec 03, 2024
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Catalog 2024-2025
Mathematics, Science Area of Concentration
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Short Description
This area of concentration is designed to help students transfer to colleges and universities that offer baccalaureate degrees in Mathematics. Students will work with one-variable functions and multivariable functions, apply theorems, and solve mathematical problems.
The required courses listed here assume that the student has a background that includes algebra, geometry, and trigonometry. Students who do not need meet these requirements can take the required prerequisite courses at CCBC after placement testing.
Type of Credential
Associate of Science (A.S.) in Science
Area of Concentration - Mathematics
Curriculum Maps
Curriculum Maps are a tool to provide students with a clear understanding of which courses to take and the order in which to complete them. Curriculum Maps help define a student’s individual path towards graduation, ensuring their time and efforts are not spent on credits that fall outside their program of study.
Each map identifies critical courses that must be completed in order to progress through the program and graduate. Curriculum Maps come complete with helpful hints for students - like recommended course electives and a reminder to apply to graduate.
Select the link(s) below to view the Curriculum Map(s) for this program:
Semester Sequence
This is a suggested full-time schedule for a student who has completed any developmental course work and has no transfer credits. Refer to the College catalog for specific requirements in selecting General Education Courses .
Courses Needed for this Area of Concentration*
General Education Requirements and Electives - 30 Credits
General Education Requirements:
General Education Electives:
Choose courses in each category from the list of approved General Education Courses . One course must be a Diversity course.
- Arts and Humanities (ARTD 104 , MUSC 109 , PHIL 240 or World Language course recommended to fulfill Diversity) 3 Credit(s).
- Social and Behavioral Sciences (ECON 201 and HIST 112 recommended) 6 Credit(s).
Program Requirements and Electives - 30 Credits
Program Electives:
Elective courses should be selected to meet transfer institution requirements. See program coordinator for assistance in selecting electives.
Total Credits Required for Degree: 60 min.*
Note
*Credit students who are new to college (no successfully completed transferable college credits from other institutions) are required to take ACDV 101 - Academic Development 101 . This 1-credit course is designed to be taken in the first semester at CCBC. Students must provide an official transcript(s) from an accredited institution to document successful completion of college coursework for the ACDV 101 requirement to be waived.
Area of Concentration Description
This Associate of Science area of concentration is designed to help students transfer to colleges and universities that offer a baccalaureate degree with a major in Mathematics. Beyond the General Education requirements and options, this concentration should be considered in light of the requirements of the selected transfer institution. Students should consult with a transfer coordinator or an advisor for information about specific requirements.
The required courses listed here assume that the student has a background that includes algebra, geometry, and trigonometry. Students who do not meet these requirements can take the required prerequisite courses at CCBC after placement testing.
Area of Concentration Outcomes
Upon successful completion of this degree, students will be able to:
- evaluate limits of one-variable functions and of multi-variable functions; definite, indefinite, and improper integrals; double integrals in rectangular and in polar coordinates; triple integrals in rectangular, cylindrical, and spherical coordinates; line and surface integrals; and solve first order differential equations;
- determine continuity and differentiability of one-variable functions and of multi-variable functions; the derivative of a one-variable function by the definition and by rules; partial derivatives of multi-variable functions by the definitions and by rules; optimal values (extrema) of one-variable functions and of multivariable functions; the convergence/divergence of a sequence and of a series;
- apply theorems (including: Mean Value Theorem, Intermediate Value Theorem, Rolle’s Theorem, Fundamental Theorem of Calculus, L’Hôpital’s Rule, Green’s Theorem, and Stokes’ Theorem) and mathematical processes to solve real-world application problems;
- compute eigenvalues, eigenvectors, and eigenspaces; verify that a structure is a vector space by checking the axioms; that a subset is a subspace; and that a set of vectors is a basis;
- graph and analyze polar coordinates, parametric equations, and vectors and vector fields; and
- analyze algebraic and geometric properties of the dot product and of the cross product.
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