Real Analysis II | |||
R ANALYSIS II | |||
CLASS CODE: | MATH 462 | CREDITS: 3 | |
DIVISION: | PHYSICAL SCIENCE & ENGINEERING | ||
DEPARTMENT: | MATHEMATICS | ||
GENERAL EDUCATION: | This course does not fulfill a General Education requirement. | ||
DESCRIPTION: | Analysis in the context of metric spaces. Applications involving such tools as approximation, Fourier analysis, and multivariate optimization. | ||
TAUGHT: | Winter odd years | ||
CONTENT AND TOPICS: | Basic metric properties of Euclidean space. Multivariate analysis and vector analysis. Applications to science, engineering and technology. | ||
GOALS AND OBJECTIVES: | 1. Develop real-world applications of real analysis from a one-dimensional point of view. 2. Introduce real-world applications of real analysis requiring a higher-dimensional point of view. 3. Extend the standard concepts of real analysis to higher dimensional settings. 4. Formulate conjectures and prove theorems about the standard objects and concepts of real analysis in higher dimensions, sufficient for the applications presented. 5. Determine relationships among the standard concepts of real analysis in a higher-dimensional setting. 6. Develop real world applications of real analysis in a higher-dimensional setting. |
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REQUIREMENTS: | Attendance is required. Other requirements include: written examinations, class presentations, quizzes, homework assignments, and other forms of assessment. | ||
PREREQUISITES: | Math 341 and Math 461 | ||
OTHER: | |||
EFFECTIVE DATE: | August 2003 |