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MTH 843: Survey of Industrial Mathematics
0.00 - 3.00 Credits
Michigan State University
Semester: Fall of every year Credits:Total Credits: 3 Lecture/Recitation/Discussion Hours: 3 3(3-0) Recommended Background: ((MTH 414 or MTH 415) or Some familiarity with mathematical software such as Mathematica, Matlab, etc.) and (MTH 421 and MTH 442) Restrictions: Open only to master's students in the Industrial Mathematics major or approval of department. Description: Fundamentals of mathematical modeling in government and industry, including modes of industrial communication. Effective Dates: FALL 1999 - Open
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MTH 843 - Survey of Industrial Mathematics
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MTH 844: Projects in Industrial Mathematics
0.00 - 3.00 Credits
Michigan State University
Semester: Spring of every year Credits:Total Credits: 3 Lecture/Recitation/Discussion Hours: 3 3(3-0) Recommended Background: ((MTH 414 or MTH 415) or some familiarity with mathematical software such as Mathematica or Matlab.) and (MTH 421 and MTH 442 and MTH 843) Restrictions: Open only to master's students in the Industrial Mathematics major or approval of department. Description: Participation as a member of a 3-4 person team on a significant industrial problem, with participation of an industrial liaison, including project report generation and reporting. Effective Dates: SPRING 2002 - Open View all versions of this course
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MTH 844 - Projects in Industrial Mathematics
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MTH 848: Ordinary Differential Equations
0.00 - 3.00 Credits
Michigan State University
Semester: Fall of every year Credits:Total Credits: 3 Lecture/Recitation/Discussion Hours: 3 3(3-0) Recommended Background: MTH 414 and MTH 421 Description: Existence and uniqueness theorems. Theory of linear differential equations. Floquet theory. Stability theory and Poincare-Bendixson theory. Green's functions and boundary value problems. Effective Dates: FALL 1995 - Open
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MTH 848 - Ordinary Differential Equations
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MTH 849: Partial Differential Equations
0.00 - 3.00 Credits
Michigan State University
Semester: Spring of every year Credits:Total Credits: 3 Lecture/Recitation/Discussion Hours: 3 3(3-0) Recommended Background: MTH 414 and MTH 421 Description: Cauchy-Kowalewski theorem. Characteristics. Initial-boundary value problems for parabolic and hyperbolic equations. Energy methods, boundary value problems for elliptic equations, potential theory. Green's function, maximum principles, Schauder's method. Effective Dates: FALL 1995 - Open
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MTH 849 - Partial Differential Equations
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MTH 850: Numerical Analysis I
0.00 - 3.00 Credits
Michigan State University
Semester: Fall of every year Credits:Total Credits: 3 Lecture/Recitation/Discussion Hours: 3 3(3-0) Recommended Background: MTH 414 and MTH 421 Description: Convergence and error analysis of numerical methods in applied mathematics. Effective Dates: FALL 1995 - Open
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MTH 850 - Numerical Analysis I
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MTH 851: Numerical Analysis II
0.00 - 3.00 Credits
Michigan State University
Semester: Spring of every year Credits:Total Credits: 3 Lecture/Recitation/Discussion Hours: 3 3(3-0) Recommended Background: MTH 850 Description: Interpolation theory and approximation of functions. Numerical solutions of nonlinear equations. Numerical integration methods. Effective Dates: SPRING 1995 - Open
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MTH 851 - Numerical Analysis II
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MTH 852: Numerical Methods for Ordinary Differential Equations
0.00 - 3.00 Credits
Michigan State University
Semester: Fall of every year Credits:Total Credits: 3 Lecture/Recitation/Discussion Hours: 3 3(3-0) Recommended Background: MTH 851 Description: Linear multi-step methods and single step nonlinear methods for initial value problems. Consistency, stability and convergence. Finite difference, finite element, shooting methods for boundary value problems. Effective Dates: SUMMER 1997 - Open
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MTH 852 - Numerical Methods for Ordinary Differential Equations
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MTH 864: Geometric Topology
0.00 - 3.00 Credits
Michigan State University
Semester: Spring of every year Credits:Total Credits: 3 Lecture/Recitation/Discussion Hours: 3 3(3-0) Recommended Background: MTH 421 Description: Topology of surfaces and higher dimensional manifolds, studied from combinatorial, algebraic or differential viewpoints. Semester Alias: MTH 464 Effective Dates: SPRING 1999 - Open
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MTH 864 - Geometric Topology
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MTH 868: Geometry and Topology I
0.00 - 3.00 Credits
Michigan State University
Semester: Fall of every year Credits:Total Credits: 3 Lecture/Recitation/Discussion Hours: 3 3(3-0) Recommended Background: (MTH 411 and MTH 421) or approval of department. Description: Fundamental group and covering spaces, van Kampen's theorem. Homology theory, Differentiable manifolds, vector bundles, transversality, calculus on manifolds. Differential forms, tensor bundles, deRham theorem, Frobenius theorem. Effective Dates: SPRING 1995 - Open
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MTH 868 - Geometry and Topology I
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MTH 869: Geometry and Topology II
0.00 - 3.00 Credits
Michigan State University
Semester: Spring of every year Credits:Total Credits: 3 Lecture/Recitation/Discussion Hours: 3 3(3-0) Recommended Background: MTH 868 Description: Continuation of MTH 868. Effective Dates: FALL 1995 - Open
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MTH 869 - Geometry and Topology II
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