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MA 102: Mathematics for Teachers
3.00 Credits
Saint Vincent College
A course designed specifically for prospective teachers in K -12 schools. The goal is to help students better comprehend and apply mathematical concepts and principles in the content strands of geometry, number systems, data analysis and statistics, and problem solving. Students will be introduced to a variety of materials, activities with physical manipulatives and computer models, and various types of software as tools for teaching and learning. The course focus will include emphasis from the national standards and Pennsylvania standards for mathematics as well as state standards for other certification areas that include application of mathematics in another subject area. This course is restricted to GCOL students or major/minor in Art Education, Business Education Information Technology, Early Childhood, Elementary, Secondary, Education K-12. Offered Spring semester. Three credits.
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MA 102 - Mathematics for Teachers
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MA 104: Elementary Functions
1.00 Credits
Saint Vincent College
This is a one-semester course whose main ideas are emphasized in the presentation of the polynomial, rational, trigonometric, exponential, and logarithmic functions. The core of the course is derived from materials best described as a compendium of college algebra, trigonometry, and analytic geometry, which would reinforce those skills essential to Calculus. Prerequisite: MA 100 or equivalent high school background. Three credits.
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MA 104 - Elementary Functions
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MA 109: Calculus I
4.00 Credits
Saint Vincent College
The elementary functions, limits, the derivative and its applications, the definite integral, techniques of integration. Applications are presented from the areas of biology and the social sciences. Graphing calculators and the computer algebra system of Mathematica are used to help study various concepts of calculus. Four credits.
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MA 109 - Calculus I
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MA 110: Calculus ll
3.00 Credits
Saint Vincent College
Probability, vectors, partial differentiation, multiple integration, sequences and series. Graphing calculators and the computer algebra system of Mathematica are used to help study various concepts of calculus. Prerequisite: MA 109. Four credits.
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MA 110 - Calculus ll
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MA 111: Calculus I
4.00 Credits
Saint Vincent College
The real number system. Limits and continuity. The concepts of differentiation and integration. Differentiation of algebraic and trigonometric functions and applications. Newton’s method. The Mean Value Theorem. The definite integral and the Fundamental Theorem of Calculus. Applications of the definite integral. Graphing calculators and the computer algebra system of Mathematica are used to help study various concepts of calculus. Four credits.
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MA 111 - Calculus I
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MA 112: Calculus II
3.00 Credits
Saint Vincent College
The trigonometric, logarithmic and exponential functions. Polar coordinates and parametric equations. The calculus of vectors. Techniques of integration and further applications of the integral. Approximate integration. Prerequisite: MA 111. Four credits.
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MA 112 - Calculus II
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MA 113: Calculus III
3.00 Credits
Saint Vincent College
Three-dimensional vectors and surfaces. Sequences and series. Multi-variable functions and partial differentiation. Double and triple integrals and applications. Prerequisite: MA 112. Four credits.
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MA 113 - Calculus III
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MA 114: Ordinary and Partial Differential Equations
3.00 Credits
Saint Vincent College
First order equations and applications, classical and numerical methods; second order linear equations and applications; solution in series; Bessel’s and Legendre’s equations; Laplace transformsolutions; higher order equations; introduction to partial differential equations, separation of variables and Fourier series. Prerequisite: MA 113. Four credits.
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MA 114 - Ordinary and Partial Differential Equations
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MA 115: Linear Algebra
3.00 Credits
Saint Vincent College
Matrices and systems of linear equations. Vector spaces and linear transformations. Determinants. Inner product spaces, eigenvalues and eigenvectors. Prerequisite: MA 112. Three credits.
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MA 115 - Linear Algebra
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MA 201: Abstract Algebra I
3.00 Credits
Saint Vincent College
Groups: normal subgroups and quotient groups, isomorphism theorems, Cayley’s theorem. Rings: ideals and quotient rings, isomorphism theorems. Prerequisite: MA 114. Offered every other year. Three credits.
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MA 201 - Abstract Algebra I
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