Teacher Education Pathway Program

Through a cooperative effort, Vaughn College and Metropolitan College of New York have established a teacher education pathway program that will allow students to complete a bachelor of science in engineering or engineering technology and a master of science in math education in as little as five years.
Vaughn College

Title V - Vaughn College

Through a cooperative effort, Metropolitan College of New York and Vaughn College of Aeronautics and Technology have established a teacher education pathway program that will allow students, after completing their bachelor of science degree in engineering or engineering technology at Vaughn College, to become certified secondary math school teachers through a one year master of science degree program in Mathematics Education for grades 7 - 12.

Below are the additional course requirements for Vaughn students entering the MS program at Metropolitan College of New York. The first cohort of Vaughn College BS students is scheduled to commence in September 2010.

Vaughn College Undergraduate Mathematics Pathway Course Listings:

Course Descriptions

Calculus 1
This first course in calculus is an introduction to differential calculus of algebraic, transcendental and rational functions. Topics include limits and differentiation with graphical applications. All topics will be covered from an algebraic, numerical and graphical point of view. Integration will be introduced at the end of the course. Applications to the physical and managerial sciences will be included.

Calculus 2
A continuation of MAT120, this course covers the study of differential and integral calculus of the elementary functions. The relationship between integral and differential calculus and numerical methods will also be discussed. Applications to the physical, biological and managerial sciences will be introduced. Multivariable calculus will also be introduced. If time permits, infinite series will also be covered.

Differential Equations
This course is a study of differential equations and the techniques used to solve them. Topics will include solution methods of first order differential equations as well as higher order equations. Emphasis will be placed on the many applications of differential equations that occur in both the physical and biological sciences.

Probability and Statistics
An introduction to probability and statistics. Topics include elementary probability, descriptive statistics, elementary distributions such as the binomial distribution, the hypergeometric distribution, the geometric distribution and the normal distribution. Sampling theory and statistical testing will also be covered.

Numerical Analysis
An introduction to the numerical techniques used to approximate the solutions to algebraic and differential equations. Numerical methods used to approximate solutions to definite integrals will also be covered. Students will be complete projects using the programming language Matlab.

Multivariable Calculus
A continuation of MAT 220, this course focuses on the study of curves and surfaces in three-dimensional space. Topics include spatial visualization, direction of space curves, orientation of surfaces. Tangent lines and planes, partial differentiation, multiple integrals the divergence theorem, and Green's theorem.

Discrete Mathematics
Basics concepts of discrete mathematics: logic and set theory, proof techniques, relations, functions, combinations, recurrence relations, introduction to analysis of algorithms and graph theory.

Linear Algebra
This course will serve as an introduction to linear algebra. Among the topics covered will be systems of equations, matrices, the rank and nullity of a matrix. Also covered will be vectors and vector spaces, linear dependence, orthogonality and the notion of a basis for a vector space. The second part of the course will introduce eigenvalues and eigenvectors and diagonalization problems. If time permits, the course will conclude with a discussion of the Jordan Canonical form.

Geometry
This course will provide a survey of the geometry necessary for college students. Included in this course will be a study of Euclidean geometry in both 2-D and 3-D as well as selected topics from transformation, coordinate, projective and non-Euclidean geometries. Use of the dynamic software packages such as Geometer's Sketchpad will be included.

Complex Variables
A first course in complex analysis, this course covers the complex number system as well as differentiation and integration of functions of a single complex variable. Topics include the Cauchy-Riemann conditions, analytic functions and their properties. Much attention will be given to the complex exponential and logarithmic functions as well as the complex trigonometric functions. Complex integration will also be introduced as well as Cauchy's theorem and some results related to Cauchy's theorem. Taylor and Laurent Series expansions; the calculus of residues and various applications.

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