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Course Criteria
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3.00 Credits
Integrals, techniques of integration, volumes, arc length, work, differential equations, sequences and series, Taylor polynomials. Prerequisite: 220. Students may not receive credit for both 224 and 213 or 214.
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3.00 Credits
Vector algebra, vector functions, partial derivatives, optimization, Lagrange multipliers. Prerequisite: 214 or 224. Students may not receive credit for both 230 and 281-1, 285-2, 290-2, or 291-2.
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3.00 Credits
Cylindrical and spherical coordinates, double and triple integrals, line and surface integrals. Change of variables in multiple integrals; gradient, divergence, and curl. Theorems of Green, Gauss, and Stokes. Prerequisite: 230. Students may not receive credit for both 234 and 281-1, 285-3, 290-3, or 291-3.
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3.00 Credits
Basic concepts of linear algebra. Solutions of systems of linear equations; vectors and matrices; subspaces, linear independence, and bases; determinants; eigenvalues and eigenvectors; other topics and applications as time permits. Prerequisite: 230 or 232. Students may not receive credit for both 240 and 281-3, 285-1, 290-1, or 291-1.
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3.00 Credits
Applications of calculus and linear algebra to the solution of ordinary differential equations. Prerequisites: 230 or 232; 240 or concurrent registration in 240 or equivalent. Students may not receive credit for both 250 and 281-2.
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1.00 Credits
Multivariable differential calculus, multiple integration and vector calculus. 2. Vector integral calculus, differential equations, infinite series. 3. Linear algebra, differential equations. Open only to students in ISP.
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3.00 Credits
See Mathematics.
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1.00 Credits
Linear algebra, similar to 240, but in greater depth. 2,3. Multivariable calculus. Similar to 230/234 but in greater depth. Prerequisites: 1 year of calculus (usually in high school) and consent of department. Students may not receive credit for both 240 and 290-1; both 230 and 290-2; or both 234 and 290-3.
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3.00 Credits
Emphasis on theory and proofs. Designed to prepare students to take 300-level mathematics courses such as 321 and 331 as sophomores. 1. Linear algebra, similar to 240, but in greater depth. Topics include vector spaces, linear functions, linear independence, dimension, determinants. 2,3. Multivariable calculus. Similar to 230 and 234 but in greater depth. Topics include vector calculus, multiple integration, Stokes's theorem. Prerequisites: 1 year of calculus (usually in high school) and consent of department. Students may not receive credit for both 240 and 291-1; both 230 and 291-2; or both 234 and 291-3.
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3.00 Credits
Intro-duction to fundamental mathematical ideas - such as sets, functions, equivalence relations, and cardinal numbers - and basic techniques of writing proofs. Prerequisite: 240. May not be taken for credit after 320-1, 321-1, 330-1, or 331-1 without prior departmental consent.
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