Real Analysis I | |||
R ANALYSIS I | |||
CLASS CODE: | MATH 461 | CREDITS: 3 | |
DIVISION: | PHYSICAL SCIENCE & ENGINEERING | ||
DEPARTMENT: | MATHEMATICS | ||
GENERAL EDUCATION: | This course does not fulfill a General Education requirement. | ||
DESCRIPTION: | Rigorous treatment of the calculus. Limits, continuity, differentiation, integration, and metric properties of Euclidean spaces. | ||
TAUGHT: | Fall even years | ||
CONTENT AND TOPICS: | |||
GOALS AND OBJECTIVES: | 1. Define the standard concepts of real analysis: limit, continuity, differentiability, integrability, convergence of sequences and series. 2. Identify and give examples and non-examples (with justification) of the standard objects of real analysis: limits, continuous functions, differentiable functions, integrable functions, convergent sequences and convergent series. 3. Become aware of real-world applications in which the standard concepts and objects of real analysis play a central role. 4. Formulate conjectures and prove theorems about the standard concepts and objects of real analysis. 5. Determine how the standard concepts of real analysis relate to each other. 6. Understand the metric topology of real Euclidean space as it relates to the above. |
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REQUIREMENTS: | All students must have their own text. Assignments and exams are required by all faculty. Other requirements may include: projects, working in groups, class presentations, computer lab assignments or other forms of assessment. |
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PREREQUISITES: | Math 301 and either Math 214 or Math 316 | ||
OTHER: | |||
EFFECTIVE DATE: | August 2003 |