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| Semester: | Fall 2020 |
| Number: | 0144-431-001 |
| Instructor: | Nara Yoon |
| Days: | Monday Wednesday Friday 9:00 am - 9:50 am |
| Note: | Online, Synchronous |
| Location: | Online |
| Credits: | 3 |
| Status: | This Course is Filled to Capacity |
| Notes: |
Grade Of C- Or Better In Mth 201,And Mth 243 Ormth 250 Required |
| Course Materials: | View Text Books |
| Description: |
Learn what goes on behind the scenes in calculus. Study real numbers and cardinality of sets, sequences and series of real numbers, metric spaces, continuous functions, integration theory, sequences and series of functions, and polynomial approximation. Connect the theory of the real line to other disciplines through practical applications. |
| Learning Goals: |
Students will use set theory to study relations and functions and apply these ideas to the notion of Cardinality. Students will learn the axioms for natural numbers and ordered fields and extend these to the real numbers, by use of the Completeness Axiom. Student will learn to apply the formal definition of convergence of a sequence and use the Limit Theorems to find limits of sequences. Student will use set theory to study the topological properties of R through open sets and apply these ideas to the notion of compactness and connectedness. Students will apply the concept of convergence to functions of real numbers and learn the properties of continuous functions. Students will apply the theory of limits to the formal definition of the derivative. Students will use the consequences of this definition to prove and make use of the Mean Value Theorem and L’Hôpital’s Rule. *The learning goals displayed here are those for one section of this course as offered in a recent semester, and are provided for the purpose of information only. The exact learning goals for each course section in a specific semester will be stated on the syllabus distributed at the start of the semester, and may differ in wording and emphasis from those shown here. |
| Prerequisites: |
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