# Mathematics – Science Transfer A.S. Degree

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.

### Semester I

**Short Title :** Analytic Geometry and Calculus I

**Course Code :** MAT-131

**Department Description :** Mathematics

**Course Description :**

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.

**Prerequisites :**

MAT-129, MAT-129A/MAT-129B or equivalent, or appropriate score on the College placement test or satisfactory score on the diagnostic examination, or departmental approval

- Credit : 4

**Short Title :** English Composition I

**Course Code :** ENG-121

**Department Description :** English

**Course Description :**

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.

**Prerequisites :**

A passing score on the College Placement Test; or a grade of "C" or better in ENG-010 and RDG-011 (RDG-011 can be a co-requisite; or a grade of "C" or better in ESL-097 and ESL-098.

**Co requisites :**

RDG-011 may be taken as a co-requisite if not previously completed with a grade of "C" or better.

- Credit : 3

**Short Title :** Introduction to Computer Science Using Java

**Course Code :** CSC-161

**Department Description :** Computer Science and Information Technology

**Course Description :**

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.

**Prerequisites :**

MAT-014 or appropriate score on the College placement test

- Credit : 4

**Short Title :** GE Humanities Elective

**Course Code :** HUM-EL2

**Department Description :** Humanities

- Credit : 3

**3**

Choose one course designated in the course descriptions as General Education Humanities (GE HUM).

### Semester 2

**Short Title :** Analytic Geometry and Calculus II

**Course Code :** MAT-132

**Department Description :** Mathematics

**Course Description :**

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.

**Prerequisites :**

MAT-131 or equivalent

- Credit : 4

**Short Title :** English Composition II

**Course Code :** ENG-122

**Department Description :** English

**Course Description :**

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.

**Prerequisites :**

A grade of “C” or better in ENG-121

- Credit : 3

**Short Title :** Object-Oriented Programming Using Java

**Course Code :** CSC-162

**Department Description :** Computer Science and Information Technology

**Course Description :**

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.

**Prerequisites :**

CSC-161 with a grade of "C" or better and MAT-129 or MAT-129A

- Credit : 4

**Short Title :** GE Humanities Elective

**Course Code :** HUM-EL2

**Department Description :** Humanities

- Credit : 3

**3**

Choose one course designated in the course descriptions as General Education Humanities (GE HUM).

**Short Title :** GE Social Science Elective

**Course Code :** GE SS

**Department Description :** GE Social Science Elective

- Credit : 3

**3**

Choose one course designated in the course descriptions as General Education Social Science (GE SS).

### Semester 3

**Short Title :** Analytic Geometry and Calculus III

**Course Code :** MAT-233

**Department Description :** Mathematics

**Course Description :**

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.

**Prerequisites :**

MAT-132 or equivalent

- Credit : 4

**Short Title :** Linear Algebra

**Course Code :** MAT-210

**Department Description :** Mathematics

**Course Description :**

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.

**Prerequisites :**

- Credit : 4

**Short Title :** General Physics I - Lecture

**Course Code :** PHY-123

**Department Description :** Natural Sciences

**Course Description :**

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.

**Prerequisites :**

- Credit : 3

**Short Title :** General Physics I - Lab

**Course Code :** PHY-125

**Department Description :** Natural Sciences

**Course Description :**

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.

**Prerequisites :**

**Co requisites :**

- Credit : 1

**Short Title :** Technical Elective

**Course Code :** TEC-EL1

**Department Description :** Engineering Technologies

- Credit : 3

### Semester 4

**Short Title :** Differential Equations

**Course Code :** MAT-234

**Department Description :** Mathematics

**Course Description :**

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.

**Prerequisites :**

MAT-233 or written permission of the department chairperson

- Credit : 4

**Short Title :** General Physics II - Lecture

**Course Code :** PHY-124

**Department Description :** Natural Sciences

**Course Description :**

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.

**Prerequisites :**

- Credit : 3

**Short Title :** General Physics II - Lab

**Course Code :** PHY-126

**Department Description :** Natural Sciences

**Course Description :**

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.

**Prerequisites :**

**Co requisites :**

- Credit : 1

**Short Title :** Technical Elective

**Course Code :** TEC-EL1

**Department Description :** Engineering Technologies

- Credit : 3

**Short Title :** GE Social Science Elective

**Course Code :** GE SS

**Department Description :** GE Social Science Elective

- Credit : 3

**3**

Choose one course designated in the course descriptions as General Education Social Science (GE SS).

## OR

**Short Title :** GE Humanities Elective

**Course Code :** HUM-EL2

**Department Description :** Humanities

- Credit : 3

**3**

Choose one course designated in the course descriptions as General Education Humanities (GE HUM).

**Total Credits: 60**

## Program Outcomes

Graduates of the Program will be able to:

- Solve significant, data-based, and theoretical, mathematical problems.
- Reason mathematically and develop credible, mathematical arguments.
- Mathematically model real-world situations.
- View mathematics as a growing discipline, interrelated with human culture, and understand its connections to other disciplines.
- Read, write, listen to, and speak mathematics.
- Use appropriate technology to augment their mathematical thinking and understanding, to solve mathematical problems, and to judge the reasonableness of their results.
- Independently explore nontrivial, mathematical context with persistence and confidence.
- Select, use, and translate among mathematical representations–numerical, graphical, symbolic, and verbal–to organize information and solve problems using a variety of techniques.

## Contact Information

Contact Name: Dr. Don Groninger, department chair

Contact Phone: 732.906.2585

Contact Email: DGroninger@middlesexcc.edu

Department Web: https://www.middlesexcc.edu/mathematics/

## Frequently Asked Questions

### Are there any requirements that must be satisfied before taking courses in the major?

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).

### Can students transfer to a four-year college or university?

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.

### How long will it take to complete this degree?

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.

Transfer Information

Our students transfer to 4-year colleges and universities around the globe. We’ve had students transfer to every state, including Alaska and Hawaii.

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 lower division general education requirements. In addition, articulation agreements are being worked out with institutions granting baccalaureate degrees to facilitate the transfer process. Students should discuss the transfer process with an advisor.

Are you interested in transferring to a school in New Jersey? You can use the tools at NJTransfer.org to see which of your MCC courses will transfer to a specific college.