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Course Criteria
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3.00 Credits
Prerequisite(s): None The animation and computer software industries are founded upon the principle of intellectual property. This course introduces students to the social concepts and traditions that led to the idea of intellectual property. It surveys the various international legal systems governing intellectual property, giving special consideration to Title 17 and the local statutes that govern copyrights, trademarks, and patents in the United States. Students will grapple with fundamental issues surrounding this field such as fair use, international relations, and economics. The course will also introduce students to a basic overview of contracts including structure, traditions, and vocabulary.
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4.00 Credits
Prerequisite(s): None This course is intended for the student with a weak high school math background. It presents a review of college algebra and trigonometry. The most basic part covers a review of functions and their graphs. This course emphasizes polynomial, rational, trigonometric, exponential and logarithmic functions as well as their inverses. Topics in trigonometry include analytic trigonometry and identities, the unit circle, and trigonometric functions of a real variable. Other topics include systems of equations and conic sections. Students may only earn credit for one of MAT 100 or MAT 140.
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4.00 Credits
Prerequisite(s): None The two main themes throughout the course are vector geometry and linear transformations. Topics from vector geometry include vector arithmetic, dot product, cross product, and representations of lines and planes in three-space. Linear transformations covered include rotations, reflections, shears and projections. Students will study the matrix representations of linear transformations along with their derivations. The curriculum also presents Affine geometry and affine transformations along with connections to computer graphics. This course also includes a review of relevant algebra and trigonometry concepts. Students may only earn credit for one of MAT 100 or MAT 140.
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4.00 Credits
Prerequisite(s): MAT 100 or MAT 140 This course introduces the calculus of functions of a single real variable. The main topics include limits, differentiation, and integration. Limits include the graphical and intuitive computation of limits, algebraic properties of limits, and continuity of functions. Differentiation topics include techniques of differentiation, optimization, and applications to graphing. Integration includes Riemann sums, the definite integral, anti-derivatives, and the Fundamental Theorem of Calculus.
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4.00 Credits
Prerequisite(s): MAT 150 This course builds on the introduction to calculus in MAT 150. Topics in integration include applications of the integral in physics and geometry and techniques of integration. The course also covers sequences and series of real numbers, power series and Taylor series, and calculus of transcendental functions. Further topics may include a basic introduction to concepts in multivariable and vector calculus.
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3.00 Credits
Prerequisite(s): MAT 200 This course extends the basic ideas of calculus to the context of functions of several variables and vector- valued functions. Topics include partial derivatives, tangent planes, and Lagrange multipliers. The study of curves in two- and three-space will focus on curvature, torsion, and the TNB-frame. Topics in vector analysis include multiple integrals, vector fields, Green's Theorem, the Divergence Theorem and Stokes' Theorem. Additionally, the course may cover the basics of differential equations.
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3.00 Credits
Prerequisite(s): MAT 140 & MAT 150, or MAT 200 This course presents the mathematical foundations of linear algebra, which includes a review of basic matrix algebra and linear systems of equations as well as basics of linear transformations in Euclidean spaces, determinants, and the Gauss-Jordan Algorithm. The more substantial part of the course begins with abstract vector spaces and the study of linear independence and bases. Further topics may include orthogonality, change of basis, general theory of linear transformations, and eigenvalues and eigenvectors. Other topics may include applications to leastsquares approximations and Fourier transforms, differential equations, and computer graphics.
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3.00 Credits
Prerequisite(s): MAT 200 This course introduces the basic theory and applications of first and second-order linear differential equations. The class will emphasize specific techniques such as the solutions to exact and separable equations, power series solutions, special functions and the Laplace transform. Applications include RLC circuits and elementary dynamical systems, and the physics of the second order harmonic oscillator equation.
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3.00 Credits
Prerequisite(s): MAT 200 This course combines material from MAT 250 and MAT 300 into a single course. Topics from linear algebra include vector spaces, linear transformations, change of basis, function spaces, and piecewise polynomials. Topics from geometry include Bezier curves, splines, interpolation, and constructive curves and surfaces. Students may not earn credit for MAT 290 if they also earned credit for either MAT 250 or MAT 300.
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3.00 Credits
Prerequisite(s): MAT 250 & MAT 258 This course is an introduction to parametrized polynomial curves and surfaces with a view toward applications in computer graphics. It will discuss both the algebraic and constructive aspects of these topics. Algebraic aspects include vector spaces of functions, special polynomial and piecewise polynomial bases, polynomial interpolation, and polar forms. Constructive aspects include the de Casteljau algorithm and the de Boor algorithm. Other topics may include an introduction to parametric surfaces and multivariate splines.
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