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MATH 131: CALCULUS I
4.00 Credits
University of Mount Saint Vincent
Real functions of a single real variable: limits, continuity, derivatives, integrals,Fundamental Theorem of Calculus. Prerequisite: Pre-Calculus or approval of Department chairperson.
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MATH 131 - CALCULUS I
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MATH 132: CALCULUS II
4.00 Credits
University of Mount Saint Vincent
Techniques of Integration. Transcendental functions. Optimization. Convexity andConcavity. Improper integrals. Sequences and series, convergence criteria. Taylor series. Applications inphysics. Prerequisite: Calculus I.
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MATH 132 - CALCULUS II
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MATH 222: MATHEMATICS FOR ELEMENTARY EDUCATION
3.00 Credits
University of Mount Saint Vincent
Theory and application of arithmetic, algebra,geometry, and probability at the primary school level. This course is exclusively for students pursuing acertification in elementary school education; it is a co-requisite of EDUC 322.
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MATH 222 - MATHEMATICS FOR ELEMENTARY EDUCATION
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MATH 231: CALCULUS III
3.00 Credits
University of Mount Saint Vincent
Vectors, vector operations, dot product, cross product. Multivariate functions andvector valued functions, continuity, partial derivatives. Gradient, tangent plane, total derivative. Classification ofquadratic surfaces. Multiple integrals. Prerequisite: Calculus II.
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MATH 231 - CALCULUS III
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MATH 241: LINEAR ALGEBRA I
3.00 Credits
University of Mount Saint Vincent
The first part of a two semester sequence. Linear equations and matrices,vector spaces, subspaces, linear independence, bases, dimension, inner product, linear transformations,Eigenvalues and -Eigenvectors, orthogonal matrices, diagonalization. Prerequisite: Calculus II
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MATH 241 - LINEAR ALGEBRA I
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MATH 242: LINEAR ALGEBRA II
3.00 Credits
University of Mount Saint Vincent
The second part of a two semester sequence. A continuation of topics inLinear Algebra, with emphasis on orthogonality, inner product spaces, -Eigenvalues and -Eigenvectors, canonicalforms, quadratic forms. Numerical Methods. Prerequisites: Calculus III and Linear Algebra I
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MATH 242 - LINEAR ALGEBRA II
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MATH 255: ORDINARY DIFFERENTIAL EQUATIONS
3.00 Credits
University of Mount Saint Vincent
Ordinary differential equations of first and secondorder: exact solutions and numerical methods, use of mathematical software. Systems of differential equations.Laplace transforms. Applications in physics, chemistry, biology. Prerequisite: Calculus III.
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MATH 255 - ORDINARY DIFFERENTIAL EQUATIONS
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MATH 261: SYMBOLIC COMPUTING
3.00 Credits
University of Mount Saint Vincent
Concepts and practical use of a Computer Algebra System such asMaple: Data types and control structures. Two- and three dimensional plotting. Symbolic computing of solutionsto selected problems in algebra and analysis. Contrasting exact and numerical solutions.
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MATH 261 - SYMBOLIC COMPUTING
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MATH 262: NUMERICAL COMPUTING
3.00 Credits
University of Mount Saint Vincent
Programming constructs and data structures for a programminglanguage suitable for compute intensive applications, such as C++. Development, implementation, anddebugging of algorithms for selected computational problems on workstations and clusters. Prerequisite:Symbolic Computing or permission of the Department chairperson.
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MATH 262 - NUMERICAL COMPUTING
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MATH 321: INTRODUCTION TO HIGHER GEOMETRY
3.00 Credits
University of Mount Saint Vincent
Euclidean, Non-Euclidean, Axiomatic Geometry.Optionally, analytic geometry of conic sections. Projective Geometry. Prerequisite: Calculus III.
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MATH 321 - INTRODUCTION TO HIGHER GEOMETRY
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