Description: Introduction-Real Analysis 1.
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
[http://link.springer.com/book/10.1007%2F978-1-4614-6271-2 Ross, Elementary Analysis; The Theory of Calculus]
Useful free resources:
- 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%
- 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 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.
- 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.
- Wednesday Dec 16 2015, 11AM-1PM in Armstrong 117.
- Final is cumulative.
Course Schedule (updated as we go along)
|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?
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.