Math301 - An Introduction To Proof Through Real Analysis


Professor: Liz Vivas

Office: Math 446

Lessons:
TTh 03:00pm - 04:15pm

Room: UNIV 119

Office Hours: Tuesday 10:30-12:30pm and Wednesday 11:30am-12:30pm at Math 446

Textbook:
Professor Penney's notes: http://www.math.purdue.edu/~rcp/MA301.html

Outline:
The aim of the course is to make the student familiar with the methods and rigor of mathematical proofs. We will use the basics of Real Analysis as a background where we will exercise abstract reasoning to construct proofs. The clear communication of such proofs is also important. Therefore not only the correctness of reasoning will be evaluated but also the clarity of the exposition. You are encourage to discuss problems with others.

Grading policy:
There will be two midterm exams and one final. Each midterm will be worth 20%, the final will be 30%, and the homework grade will be 30% of your total grade.

Homeworks:
Homework 1: Chapter 1, Problems 1 (b), 3, 9, 11 (b), 13, 14. (Due on Thursday Jan. 20th)
Homework 2: Chapter 2: 1 (c), 1 (k), 5, 7, 9 (iii), 15, 16 (g). (Due on Thursday Jan. 27th)
Homework 3: Chapter 3: 1 (a,b), 3 ( c), 4 (b), 7 (d), 11. (Due on Tuesday Feb. 8th)
Homework 4: Chapter 4: 2 ( p), 5, 11 (b), 14 (b), 39 (b). (NEW DUE DATE: Tuesday Feb. 15th).
Homework 5: Chapter 5: 1(b), 3(a), 3(b) and 5. (Due on Tuesday March 1st).
Homework 6: Chapter 6: 1 (h,j,n), 2,11,15,16. (Due on Thursday March 10th).
Homework 7: Chapter 7: 3(c, f, m, o), 9(b, c),13,17,28,29 + Extra Problems. (Due on Thursday March 24th).
Homework 8: Chapter 8: 1(d, i), 2(d,i), 3(d,i), 12, 16. (Due on Thursday March 31st).
Homework 9: Chapter 9: 1(b), 10(b), 11(e), 12, 13(b), 20, 21(c,d). (Due on Thursday April 14th).
Homework 10: Chapter 10: 3(b)(ii,v), 6(l), 9(f), 16. (Due on Thursday April 21st).
Homework 11: Chapter 11 and Chapter 12: (Due on Thursday April 28th). Chapter 11: 2, 5, 7, 9, 15, 17 Chapter 12: Problems 2 and 3.


FIRST MIDTERM EXAM: FEBRUARY 17th, TIME AND LOCATION: 8:00pm - 9:15pm at LYNN 1136. It will cover Chapter 1-4.


SECOND MIDTERM EXAM: APRIL 5th, TIME AND LOCATION: 8:00pm - 9:15pm at CIVL 1144. It will cover Chapter 5-8.


FINAL EXAM: MAY 2nd, TIME AND LOCATION: 8:00 - 10:00am at EE170. It will cover mainly Chapters 9 - 12. But there will also be some questions from Chapters 1-8.



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