Program Codes:
MAT.AS
Associate in Science Degree
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This program parallels the first two years of a baccalaureate degree program in mathematics. The mathematics major prepares students, upon graduation, to transfer to a four-year college or university to pursue professional careers requiring quantitative reasoning and analytical thinking. Traditional mathematics occupations consist of teaching positions in schools and colleges or research positions in universities or industry. Other related mathematics fields include statistics, survey and market research, operations research, computer systems design and programming, economics and finances, and robotics and aerodynamics. Careers in applied mathematics usually focus on developing mathematical models for technical and scientific data, whether in physics, chemistry, biology, engineering or medicine.
Below are required courses and recommended course groupings and sequences for program completion.
Courses may have prerequisite and corequisite requirements. Check course descriptions for details.
Presents fundamental ideas of calculus such as the derivative, integral and their applications. Topics include fundamentals of analytic geometry. The first course in a sequence of calculus courses intended for the student interested in mathematics, engineering and the natural, physical and social sciences. TI83/84 graphing calculator required.
Through a variety of writing projects requiring competence in clear, correct, and effective English, students use inferential and critical skills in the process of composing documented essays. Extensive reading materials serve as structural models and as the bases for discussion and for the writing of essays involving response, analysis, and synthesis.
RDG-011 may be taken as a co-requisite if not previously completed with a grade of "C" or better.
This course presents an introduction to programming and problem solving using Java. Algorithm development and basic procedural and object-oriented problem solving techniques are introduced. Fundamental topics of computer programming including sequence, selection, repetition, input/output, methods, parameter passing, scope, lifetime, and arrays are discussed in detail. Basic concepts of object-oriented programming such as objects, classes and class methods are introduced. This course is required of all Computer Science transfer students. The course is also recommended for students in other programs seeking a rigorous introduction to computer programming.
MAT-014 or appropriate score on the College placement test
Choose one course designated in the course descriptions as General Education Humanities (GE HUM).
Topics include trigonometric and hyperbolic functions, areas, centroids, techniques of integration, parametric curves and vectors, indeterminant forms, Taylor's formula, infinite series and topics in analytic geometry. Recommended for students majoring in engineering, mathematics, computer science, social sciences and the science related areas of chemistry and physics. TI83/84 graphing calculator is required.
MAT-131 or equivalent
Through a variety of writing projects requiring competence in clear, correct, and effective English, students use inferential and critical skills in the process of composing argument synthesis essays. Students engage in formal written argumentation based on extensive reading and analysis of complex texts. Through the research process, students will locate, analyze, and synthesize scholarly sources to advance their own informed positions on relevant issues in the composition of a formal research paper.
A grade of “C” or better in ENG-121
This course builds on the Java foundation developed in CSC 161 and is the second core course required for students in the Computer Science Transfer program. It investigates the software engineering principles of encapsulation, information hiding and code reuse, and discusses how these concepts are used to build abstract data types. The object oriented programming features of classes, inheritance, polymorphism and composition are studied, along with constructors and method overloading. Students implement Java programs incorporating features from the Java programming language.
Choose one course designated in the course descriptions as General Education Humanities (GE HUM).
Choose one course designated in the course descriptions as General Education Social Science (GE SS).
Emphasis is on the study of analytic geometry and calculus in three dimensions. Topics include solid analytic geometry, partial derivatives, multiple integrals and topics in vector analysis such as Green's theorem, the divergence theorem, surface integrals and Stokes theorem. Recommended for students majoring in engineering, mathematics, computer science, social sciences and the science related fields of chemistry and physics.
MAT-132 or equivalent
Covers geometric vectors, vector spaces, systems of linear equations, determinants, linear transformations, matrix algebra and the applications of matrices to the engineering, social and management sciences. Advanced topics include linear product spaces, eigenvalues and vectors, canonical forms and computations via the computer. Applications include linear differential equations, linear programming, and stochastic processes. Students utilize computer software to solve real-life problems and to facilitate computations involving the mathematical operations listed above.
Emphasizes theoretical models and basic physical principles. The course is precalculus based and uses some basic calculus in the development and applications of physical principles in a scientific environment. Students will use computers in the laboratory for developing programming skills for the analysis of experimental data. Topics include kinematics, dynamics, conservation of energy and momentum, waves, temperature and heat and thermodynamics. The first semester of a two-semester college-parallel sequence for liberal arts science and pre-professional students.
This course is to be taken in conjunction with General Physics I and is the first semester of a two semester laboratory university-parallel sequence for liberal arts science and pre-professional students. Students will make measurements and develop an understanding of the errors in those measurements and the final result. The importance of maintaining a laboratory notebook is emphasized as well as accurate and concise reporting of the data and results; data interpretation is also emphasized. The computer is used of data acquisition and analysis. Laboratory safety is also discussed.
An introduction to differential equations for students interested in mathematics, and the physical and social sciences. Covers first- and second-order differential equations and systems of first-order equations, both linear and non-linear. Quantitative and numerical analysis are emphasized along with analytic techniques, such as Laplace transform and matrix methods. Applications and modeling of real phenomena are discussed throughout the course.
MAT-233 or written permission of the department chairperson
Emphasizes theoretical models and basic physical principles. The course is precalculus-based and uses some basic calculus in the development and applications of physical principles in a scientific environment. Students will use computers in the laboratory for developing programming skills and for the analysis of experimental data. Topics include electro-statics, direct current circuits, electromagnetism, alternating currents, electromagnetic waves, geometrical and physical optics, quantum theory, atomic physics and nuclear physics. The second semester of two-semester college-parallel sequence for liberal arts science and pre-professional students.
This course is to be taken in conjunction with General Physics II and is the second semester of a two semester laboratory university-parallel sequence for liberal arts science and pre-professional students. Students will make measurements and develop an understanding of the errors in those measurements and the final result. The importance of maintaining a laboratory notebook is emphasized as well as accurate and concise reporting of the data and results; data interpretation is also emphasized. The computer is used of data acquisition and analysis. Laboratory safety is also discussed.
Choose one course designated in the course descriptions as General Education Social Science (GE SS).
Choose one course designated in the course descriptions as General Education Humanities (GE HUM).
Graduates of the Program will be able to:
Contact Name: Dr. Don Groninger, department chair
Contact Phone: 732.906.2585
Contact Email: DGroninger@middlesexcc.edu
Department Web: https://www.middlesexcc.edu/mathematics/
Students must demonstrate proficiency in elementary (MAT-013) and intermediate (MAT-014) algebra, as well as precalculus (MAT-129 or MAT-129A/MAT-129B). In addition, they must successfully complete all courses required by the College’s placement tests, and fulfill the science course prerequisites. The science courses of biology and chemistry require a high school laboratory course with a minimum grade of “C” or the equivalent developmental science courses (BIO-010, CHM-010).
The Statewide Transfer Agreement for New Jersey ensures that students who earn an A.A. or A.S. degree at a community college will have those credits fully transferable to a New Jersey public four-year institution, will have completed half of the credits required for a basic four-year degree and will have completed all of the lower division general education requirements. In addition, articulation agreements with private institutions may provide similar transfer provisions. Students should discuss the transfer process with an advisor.
Once students complete developmental coursework (if needed), the degree can be completed in two years of full-time study. They can shorten the amount of time by taking courses in the summer and winter sessions.