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MAT 326: Differential Equations
4.00 Credits
The College of New Jersey
Prerequisite: MAT 128 and Corequisite: MAT 205 or PHY 306 Differential equations are used to model the world around us. Understanding the properties of solutions to differential equations is fundamental to the field of applied mathematics. This course provides an introduction to the theory, solution techniques, and application of ordinary differential equations. Topics may include: solutions to first-order linear and nonlinear ordinary differential equations by analytical, qualitative and numerical methods; existence and uniqueness theorems; solutions to second-order linear differential equations; power series solutions of differential equations; Laplace transform methods; mathematical modeling with differential equations; systems of differential equations including the connection to linear algebra, stability theory and phase plane analysis.
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MAT 326 - Differential Equations
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MAT 330: Mathematical Biology
4.00 Credits
The College of New Jersey
Prerequisites: MAT 128 and an interest in biology In this course, we will focus on building and analyzing dynamic mathematical models (models that study how processes change in time) to understand the behavior of different biological systems. We will use mathematical tools like difference equations, differential equations, linear algebra and nonlinear analysis to study these biological processes.
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MAT 330 - Mathematical Biology
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MAT 331: Numerical Methods
4.00 Credits
The College of New Jersey
Prerequisites: MAT 128 and MAT 205 Numerical Methods is a course which focuses on methods of approximating solutions to problems for which the techniques of the earlier Calculus and Linear Algebra courses fail. A course covering methods of approximation, errors in approximation, and efficiency of algorithms.
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MAT 331 - Numerical Methods
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MAT 351: Geometry
4.00 Credits
The College of New Jersey
Prerequisites: MAT 200 and MAT 229 Both Euclidean and non-Euclidean geometries are studied. Each geometry will be understood from three different perspectives: first, as the collection of theorems following from a particular set of axioms; second, as the two-dimensional geometry arising from a particular metric; and third, as the geometry obtained from a set together with a specific group of rigid motions of the set. At least one of these viewpoints will be developed in detail.
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MAT 351 - Geometry
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MAT 370: Topics in Mathematics
4.00 Credits
The College of New Jersey
Special topics in mathematics that will vary by semester.
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MAT 370 - Topics in Mathematics
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MAT 391: Independent Study in Mathematics
1.00 - 8.00 Credits
The College of New Jersey
For individual pursuit of advanced topics within or beyond a student's major field of study which transcend the regularly available curriculum.
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MAT 391 - Independent Study in Mathematics
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MAT 392: Guided Study in Mathematics
1.00 - 8.00 Credits
The College of New Jersey
This course allows student to study mathematical topics under the supervision of a faculty member.
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MAT 392 - Guided Study in Mathematics
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MAT 393: Independent Research in Mathematics
1.00 - 8.00 Credits
The College of New Jersey
Prerequisite: By invitation only Student will study and/or do research independently in an appropriate area. A department member will be assigned to advise and direct the student.
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MAT 393 - Independent Research in Mathematics
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MAT 399: Internship in Mathematics
1.00 - 8.00 Credits
The College of New Jersey
Prerequisites: Junior standing and permission of the department. Applied experience in major field of study. Consult department for details.
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MAT 399 - Internship in Mathematics
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MAT 403: Advanced Calculus
4.00 Credits
The College of New Jersey
Prerequisite: MAT 229 The calculus of several variables is explored from the point of view of the geometry of surfaces in Euclidean space. The emphasis will be on examples rather than proofs. Topics will include the topology of Euclidean Space, the derivative as a linear map, the geometry of maps whose derivative have maximal rank, and Lie groups such as SL (2,R)
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MAT 403 - Advanced Calculus
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