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MATH 115: Calculus I
1.00 Credits
University of Michigan-Ann Arbor
Four years of high school mathematics. (4). (MSA). (BS). (QR/1). May not be repeated for credit. Credit is granted for only one course from among MATH 115, and 185.
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MATH 116: Calculus II
1.00 Credits
University of Michigan-Ann Arbor
MATH 115. (4). (MSA). (BS). (QR/1). May not be repeated for credit. Credit is granted for only one course among MATH 116, 119, 156, 176, and 186.
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MATH 131: Conceptual Mathematics
4.00 Credits
University of Michigan-Ann Arbor
In this course, the student is exposed to both the practical and the abstract nature of mathematics. The usefulness of mathematics is seen by considering such topics as problem solving, graph theory, inductive and deductive reasoning, and statistics. The abstract nature of mathematics and its methodology is seen by a study of an algebraic structure such as a group. Another important aspect of this course is the historical development of mathematics. Finally, the student is exposed to specific areas of mathematics in order to develop his/her appreciation of and skill level with mathematical concepts, facts, and processes. Students intending to elect this course should have taken the equivalent of one year of high school algebra and one year of high school geometry. This course is not open to mathematics concentrators. (F,W,S). 4.000 Credit hours 4.000 Other hours Levels: Undergraduate Schedule Types: Internet/E-mail, Recitation Mathematics Department Course Attributes: Lower Division
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MATH 200: Math Proof and Structures
2.00 Credits
University of Michigan-Ann Arbor
This course is designed for students either considering a concentration in mathematics or intending to take MATH 331, 412, or 451, among others. The course covers basic mathematical concepts needed in upper-level mathematics courses such as set theory, logic, and methods of mathematical proof. Additional topics may include equivalence relations, functions and mappings, and algebraic structures. (F,W). 2.000 Credit hours 2.000 Other hours Levels: Undergraduate Schedule Types: Recitation Mathematics Department Course Attributes: Lower Division
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MATH 205: Calc III for Engin Students
3.00 Credits
University of Michigan-Ann Arbor
Vectors in the plane and space, topics from multivariable calculus including partial differentiation and multiple integration, with an emphasis on applications, and line integrals and Green's theorem. This course includes computer labs. Students cannot receive credit for both MATH 205 and MATH 215. (F,W,S). 3.000 Credit hours 3.000 Other hours Levels: Undergraduate Schedule Types: Recitation, Recitation Mathematics Department Course Attributes: Lower Division
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MATH 215: Calculus III
4.00 Credits
University of Michigan-Ann Arbor
Vectors in the plane and space, vector-valued functions and curves, functions of several variables including limits, continuity, partial differentiation and the chain rule, multiple integrals and coordinate transformations, integration in vector fields, and Green's and Stokes' theorems. This course includes computer labs. Students cannot receive credit for both MATH 205 and MATH 215. (F,W). 4.000 Credit hours 4.000 Other hours Levels: Undergraduate Schedule Types: Recitation, Recitation Mathematics Department Course Attributes: Lower Division
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MATH 216: Intro to Diff Equations
3.00 Credits
University of Michigan-Ann Arbor
Solutions and applications of differential equations of the first and second order, linear equations with constant coefficients, solutions by means of power series, Laplace transforms, and numerical methods for solution of differential equations. (F,W,S). 3.000 Credit hours 3.000 Other hours Levels: Undergraduate Schedule Types: Recitation Mathematics Department Course Attributes: Lower Division
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MATH 217: Intro to Matrix Algebra
2.00 Credits
University of Michigan-Ann Arbor
Systems of equations, matrices, determinants, the n-dimensional real vector spaces, orthonormal basis, linear transformations, and eigenvalues and eigenvectors. Students cannot receive credit for both MATH 217 and MATH 227. (F,W,S). 2.000 Credit hours 2.000 Other hours Levels: Undergraduate Schedule Types: Recitation Mathematics Department Course Attributes: Lower Division
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MATH 227: Introduction to Linear Algebra
3.00 Credits
University of Michigan-Ann Arbor
An introduction to the theory and methods of linear algebra with matrices. Topics include: systems of linear equations, algebra of matrices, matrix factorizations, vector spaces, linear transformations, eigenvalues and eigenvectors, science and engineering applications, and computational methods. Students cannot receive credit for both MATH 227 and MATH 217. (F,W). 3.000 Credit hours 3.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: Lower Division
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MATH 276: Discrete Math Meth Comptr Engr
4.00 Credits
University of Michigan-Ann Arbor
An introduction to fundamental concepts of discrete mathematics for computer engineering. Topics will be chosen from: set theory, partially ordered sets, lattices, Boolean algebra, semi-groups, rings, graphical representation of algebraic systems, graphs and directed graphs. Applications in various areas of computer engineering will be discussed. (F,W,S). 4.000 Credit hours 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: Lower Division
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