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Course Criteria
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4.00 Credits
A basic course in the rudiments of analytic geometry and differential and integral calculus with emphasis on applications. Designed for students who do not plan further study in calculus.
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3.00 Credits
Review of algebra and trigonometry. Exponential functions; inverse functions and logarithms. Limits; differentiation of algebraic and transcendental functions; rules of differentiation; related rates. Three hours of lecture and one hour of recitation period per week.
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3.00 Credits
Maximum and minimum values; curve sketching. Antiderivatives; the Fundamental Theorem of Calculus; areas and volumes; techniques of integration. Three hours of lecture and one hour of recitation period per week. Prerequisite: 150a.
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4.00 Credits
Functions, limits, differentiation of algebraic functions, integration, applications including extrema problems, areas, volumes, centroids, and work.
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4.00 Credits
Differentiation and integration of transcendental functions, applications, methods of integration, coordinate geometry, polar coordinates, infinite series. Prerequisite: 155a.
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3.00 Credits
Analytic geometry, parametric equations, polar coordinates, infinite series, Taylor series. Prerequisite: 150b. Serves as repeat credit for students who completed 170a prior to fall 2008.
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3.00 Credits
Vectors, curves, and surfaces in space. Functions of several variables, partial derivatives, multiple integrals. Vector integral calculus, including line and surface integrals. Prerequisite: 155b or 170. No credit for students who have completed 205a-205b. Serves as repeat credit for students who completed 170b prior to fall 2008.
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3.00 Credits
Vectors and matrix operations. Linear transformations and fundamental properties of finite dimensional vector spaces. Numerical solutions of systems of linear equations. Eigenvalues and eigenvectors. Selected basic elements of linear programming. Pre- or Corequisite: 175. Credit is not given for both 194 and 196 or 204 or 205a-205b.
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4.00 Credits
Scalar differential equations, Laplace transforms, systems of differential equations. Gauss-elimination, algebra of matrices, determinants, vector spaces, linear operators, eigenvalues and eigenvectors. Intended for students in Biomedical Engineering, Electrical Engineering and Computer Engineering. Prerequisite: 175. Credit is not given for both 196 and 194 or 198 or 208.
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3.00 Credits
Linear firstorder differential equations, applications, higher order linear differential equations, complementary and particular solutions, applications, Laplace transform methods, series solutions, numerical techniques. Prerequisite: multivariable calculus. Credit is not given for both 198 and 196 or 208.
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