451Pantea
Course Information
Description: Introduction-Real Analysis 1.
Instructor: Casian Pantea. email me
Class schedule: TR 11:30AM-12:45PM in Armstrong 117
Office hours: Tuesday 10-11AM, Thursdays 1-2PM, in Armstrong Hall 305B
Info sheet containing more or less the stuff on this webpage.
Textbooks and resources
Textbook:
[http://link.springer.com/book/10.1007%2F978-1-4614-6271-2 Ross, Elementary Analysis; The Theory of Calculus]
Alternative Textbook:
Rudin, Principles of Mathematical Analysis
Useful free resources:
Web goodies
Evaluation
Grading scheme
- 30% Final exam on Tuesday Dec 15 2015, 8-10AM in Armstrong Hall room 117
- 40% Two midterm exams (2x20%)
- 20% Quizzes
- 10% Homework assignments
- Letter grades will be assigned according to the scheme
- A 90-100% | B 80-90% | C 70-80% | D 60-70% | F 0-60%
Quizzes
- There will be six 10-minute quizzes (one every two weeks); best five will count towards your grade.
- Quizzes will test the material covered during the previous two weeks.
- No make-up quizzes will be given.
Homework
- Homework will be assigned once every two weeks, and due two weeks later (please see the course schedule below for exact dates).
- Your best five homework papers will count towards the final grade.
- Late turn-ins will not be accepted.
Midterms
- There will be two 75-minutes in-class midterm exams, on September 22 and November 3.
- Midterm exams will test material covered after the previous midterm (they are not cumulative).
- Calculators will not be allowed.
Final Exam
- Wednesday Dec 16 2015, 11AM-1PM in Armstrong 117.
- Final is cumulative.
Course Schedule (updated as we go along)
Date | Topic | Resources | HW/Quiz | |
---|---|---|---|---|
Tuesday, Aug 18 | Introduction. Natural numbers | 1 | Evaluation Test | |
Thursday, Aug 20 | Rational Numbers | 2 | ||
Tuesday, Aug 25 | Real numbers | 3 | ||
Thursday, Aug 27 | Completeness | 4 | ||
Tuesday, Sep 1 | Infinity | 5 | ||
Thursday, Sep 3 | Sequences. Limits | 7, 8 | HW1 due | |
Tuesday, Sep 8 | More on limits | 8 | ||
Thursday, Sep 10 | Limit theorems | 9 | Quiz1 | |
Tuesday, Sep 15 | Monotone sequences. liminf, limsup | 10 | ||
Thursday, Sep 17 | Review | HW2 due | ||
Tuesday, Sep 22 | Midterm Exam | Solutions | ||
Thursday, Sep 24 | Cauchy sequences | 10 | Quiz2 | |
Tuesday, Sep 29 | Subsequences | 11 | ||
Thursday, Oct 1 | Subsequences | 11 | HW3 due | |
Tuesday, Oct 6 | liminf, limsup | 12 | ||
Thursday, Oct 8 | liminf, limsup | 12 | Quiz3 | |
Thursday, Oct 15 | Series | 14 | ||
Tuesday, Oct 20 | Alternating series; Integral test | 15 | ||
Thursday, Oct 22 | Continuous functions | 17 | Quiz4 | |
Tuesday, Oct 27 | Continuous functions | 18 | ||
Thursday, Oct 29 | Review | HW4 due | ||
Tuesday, Nov 3 | Midterm Exam | |||
Thursday, Nov 5 | Uniform continuity | 19 | Quiz5 | |
Tuesday, Nov 10 | Uniform continuity | 19 | ||
Thursday, Nov 12 | Limits of functions | 20 | HW5 due | |
Tuesday, Nov 17 | Review | |||
Thursday, Nov 19 | Derivative | 28 | Quiz6 | |
Tuesday, Dec 1 | Mean value theorem | 29 | ||
Thursday, Dec 3 | L'Hospital rule | 30 | HW6 due | |
Tuesday, Dec 8 | Taylor's theorem | 31 | ||
Wednesday, Dec 16 | Final Exam - 11AM-1PM, ARM 117 |
Where does your score stand?
Inclusivity statement
The West Virginia University community is committed to creating and fostering a positive learning and working environment based on open communication, mutual respect, and inclusion. If you are a person with a disability and anticipate needing any type of accommodation in order to participate in this class, please advise me and make appropriate arrangements with the Office of Accessibility Services (293-6700). For more information on West Virginia University's Diversity, Equity, and Inclusion initiatives, please see http://diversity.wvu.edu.