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MATH 151: Calculus I
3.00 Credits
Knox College
An introduction to the theory and applications of the differential calculus. Limits, continuity, differentiation, approximation, and optimization. MNS; Prereq: MATH 131 or three years of college preparatory mathematics, including trigonometry; QL; STAFF
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MATH 151 - Calculus I
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MATH 152: Calculus II
3.00 Credits
Knox College
A continuation of MATH 151. An introduction to the theory and applications of the integral calculus as well as an introduction to infinite series and parametric equations. MNS; Prereq: MATH 141 or MATH 151; QL; STAFF
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MATH 152 - Calculus II
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MATH 175: Discrete Mathematics
3.00 Credits
Knox College
A study of discrete mathematical structures. Logic and proof, set theory, relations and functions, ideas of order and equivalence, and graphs. MNS; Prereq: MATH 151 or equivalent, or CS 141 together with MATH 131 or equivalent; QL; STAFF
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MATH 175 - Discrete Mathematics
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MATH 180: Combinatorics
3.00 Credits
Knox College
The study of problems for which the number of possible solutions is large but finite. Developing, proving, analyzing and applying algorithms to find optimal solutions. Algorithmic graph theory, counting techniques, discrete probability, difference equations. Prereq: MATH 151 or
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MATH 180 - Combinatorics
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MATH 205: Calculus III
3.00 Credits
Knox College
An introduction to the calculus of functions of several variables and vector-valued functions. Limits, continuity, differentiation, and multiple integration. MNS; Prereq: MATH 152 or permission of the instructor; QL; D. Schneider
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MATH 205 - Calculus III
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MATH 210: Linear Algebra I
3.00 Credits
Knox College
A study of the fundamental properties and applications of finite dimensional vector spaces, linear transformations, and matrices. Spanning, independence, bases, inner products, orthogonality, eigenvalues and eigenvectors, diagonalization. MNS; Prereq: MATH 152 or permission of the instructor; QL; D. Schneider
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MATH 210 - Linear Algebra I
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MATH 211: Linear Algebra II
3.00 Credits
Knox College
A continuation of MATH 210. A more abstract study of vector spaces and linear transformations. Spectral and Jordan decomposition theorems. Applications. Prereq: MATH 205 and MATH 210; QL; D. Schneider
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MATH 211 - Linear Algebra II
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MATH 214: Introduction to Numerical Mathematics
3.00 Credits
Knox College
An introduction to elementary numerical methods and their computer implementation. Topics include Newton's method for one and several equations, interpolating functions, approximating polynomials, numerical differentiation and integration, numerical solutions of linear systems of equations, and numerical solutions of differential equations. Prereq: MATH 151 or equivalent; QL; A. Leahy
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MATH 214 - Introduction to Numerical Mathematics
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MATH 215: Vector Calculus
3.00 Credits
Knox College
A study of vector fields and the calculus of vector differential operators (gradient, divergence, curl, Laplacian), potential functions and conservative fields, line and surface integrals, the theorems of Green, Gauss, and Stokes. Applications. Prereq: MATH 205; QL; STAFF
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MATH 215 - Vector Calculus
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MATH 216: Foundations of Geometry
3.00 Credits
Knox College
A study of the axiomatic structure and historical development of two-dimensional geometry, with an emphasis on proofs. Incidence geometry, geometry of flat and curved spaces, projective geometry, and Euclidean models for hyperbolic geometry. Historical implications of the existence of non-Euclidean geometries. Prereq: MATH 152; QL; STAFF
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MATH 216 - Foundations of Geometry
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