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MA 180: Introductory College Mathematics
4.00 Credits
Clarkson University
Review of basic algebra and functions, differences, an introduction to discrete calculus, rates of growth, introduction to the derivative. This course is not available for students who already have credit for any one of MA131, MA132, or MA181.
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MA 180 - Introductory College Mathematics
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MA 181: Basic Calculus
3.00 Credits
Clarkson University
The fundamentals of differential calculus with applications to business, life and social sciences, optimization, the fundamental theorem of calculus, introduction to the concept of the integral.
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MA 181 - Basic Calculus
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MA 200: Introduction to Mathematical Modeling and Software
3.00 Credits
Clarkson University
Introduction to the use of mathematics in solving real-life problems. Basics of using mathematical software (such as MATLAB and Maple) to apply calculus and other methods. Group projects. Communication skills including ethical considerations, presentation and mathematical exposition. Introduction to mathematical professions.
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MA 200 - Introduction to Mathematical Modeling and Software
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MA 230: 3-D Space and Projective Geometry
3.00 Credits
Clarkson University
An introduction to the mathematics of 3 dimensional space, including vector functions, elementary vector calculus and partial derivatives, introductory projective geometry especially as applied to projections of 3-D images on two dimensional media, translations, rotations and an introduction to their matrix representations. A student may not receive credit for both MA230 and MA231. MA231 satisfies any requirement for MA230.
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MA 230 - 3-D Space and Projective Geometry
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MA 231: Calculus III
3.00 Credits
Clarkson University
Vectors and vector-valued functions; functions of several variables; partial differentiation, including the chain rule, gradients, and maxima and minima; multiple integration, including polar, cylindrical, and spherical coordinates; vector calculus, including Green's, Divergence, and Stokes's Theorems. A student may not receive credit for both MA230 and MA231. MA231 satisfies any requirement for MA230.
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MA 231 - Calculus III
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MA 232: Elementary Differential Equations
3.00 Credits
Clarkson University
Solutions and applications of first-order differential equations and linear differential equations with constant coefficients. Laplace transform methods. Introduction to matrix algebra, systems of algebraic equations, eigenvalues and eigenvectors, with application to systems of differential equations. Other topics may include modeling, engineering applications or numerical methods.
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MA 232 - Elementary Differential Equations
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MA 314: Number Theory and Its Applications
3.00 Credits
Clarkson University
Divisibility; the fundamental theorem of arithmetic; linear diophantine equations; fundamentals of congruences; prime numbers and factoring; the theorems of Fermat and Wilson; quadratic residues. Additional topics may include arithmetic functions, the Mobius inversion formula; geometric number theory; partitions; continued fractions; primality testing and factoring; applications to crystallography and cryptography.
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MA 314 - Number Theory and Its Applications
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MA 330: Advanced Engineering Mathematics
3.00 Credits
Clarkson University
Introduction to linear algebra. Review of ordinary differential equations and Laplace transforms; ordinary boundary value problems. Fourier analysis; overview of partial differential equations. Introduction to probability and statistics. Modeling and applications to engineering problems will be emphasized throughout. This course is intended principally for Mechanical and Aeronautical Engineering majors; not open to Mathematics majors.
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MA 330 - Advanced Engineering Mathematics
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MA 331: Fourier Series and Boundary Value Problems
3.00 Credits
Clarkson University
Review of ordinary boundary value problems. Fourier series and integral. Derivation of heat, wave and potential equations with boundary and initial conditions. Solution by separation of variables. Additional topics may include multidimensional problems, Bessel functions, Laplace transforms, numerical methods.
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MA 331 - Fourier Series and Boundary Value Problems
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MA 339: Applied Linear Algebra
3.00 Credits
Clarkson University
This course is an introduction to matrices and linear algebra with applications in engineering and science. Algebra of matrices and systems of linear algebraic equations. Rank, inverse, eigenvalues, eigenvectors, vector spaces, subspaces, basis, independence, orthogonal projection, determinant. Other topics may include: systems of differential equations, numerical methods, linear programming.
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MA 339 - Applied Linear Algebra
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