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Math 0420 Introduction to Analysis (Fall 2019) |
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Course Info: |
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Lecturer: Ming Chen Email: mingchen@pitt.edu Office: 601 Thackeray Hall Office Hours: MW 9:30 AM – 11:00 AM, Office Tel: (412) 624-8357 TA: Tian Jing Email: tij11@pitt.edu
Class Meeting Times: MWF 1:00 PM - 1:50 PM 227 Benedum Hall Grading: Homework: 20% Midterm: 20% each Final: 40% Material: 1. Review of real number system The Bolzano-Weierstrass Theorem Cauchy sequences 2. Single variable functions Limits and continuity Intermediate Value Theorem; Min-Max Theorem Uniform continuity 3. Derivatives Rolle's Theorem; Mean Value Theorem Taylor's Theorem and Taylor series 4. Riemann integrals Riemann integrability Fundamental Theorem of Calculus 5. Sequences of functions, applications Pointwise and uniformly convergent sequences of functions Interchange of uniform limits and integration; Interchange of limits with differentiation The M-test for uniform convergence of series Picard iteration Homework policies:
Please try to complete the
homework problems; very few students can learn this material
without doing so and they can significantly impact your course
grade. Students are encouraged to work together on homework.
However, each student must turn in his/her own assignments, and no
copying from another student's work is permitted.
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Announcement |
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1. Please staple your homework. Answer sheets that are not stapled will be given a 5-point penalty. 2. The first midterm exam will be on Wednesday, Oct. 2. Here is a set of practice problems. 3. The second midterm exam will be on Friday, Nov. 1. Here is a set of practice problems. 4. The Final exam will be on Thursday, Dec. 12 from 4 – 5:50 PM. Here is a set of practice problems. |
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Homework Problems |
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Due day |
Problems |
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09/04/2019 |
click here |
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09/11/2019 |
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09/18/2019 |
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09/25/2019 |
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10/09/2019 |
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10/16/2019 |
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10/23/2019 |
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10/30/2019 |
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11/13/2019 |
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11/20/2019 |
click here |
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