Syllabus/schedule (subject to change)
All joint lectures through 10/2 meet in Library E4320.
First recitation on Wed 8/29, second recitation Wed 9/5.
During joint lectures through 10/2, students with last names starting A-L attend recitation in Library E4330, students with last names M-Z attend recitation in Math P-131

Recommendations on choosing MAT 319 versus MAT 320 will be made based upon your performance on the first midterm and homework to that date.
 Tue 8/28 1. Joint class: Introduction, motivation: what are real numbers? (Grushevsky) Read pages 1-19 Thu 8/30 2. Joint class: Properties of numbers; induction; concept of a field. (Berger) HW due 9/5: 1.3, 1.4, 1.10, 1.12, 2.2, 2.5, 3.1, 3.4, 3.6 Tue 9/4 3. Joint class: Completeness axiom for real numbers; Archimedean property. (Berger) Read pages 20-38 Thu 9/6 4. Joint class: Infinity, unboundedness. Intro to sequences. (Berger) HW due 9/12: parts eghimr of: 4.1,4.2,4.3,4.4; and 4.8,4.10,4.11,4.12,4.14 Tue 9/11 5. Joint class: Limit of a sequence. (Grushevsky) HW due 9/19: 5.2, 5.6, 7.3, 7.4, 8.1ac Thu 9/13 6. Joint class: Limit laws for sequences. (Grushevsky) Read pages 39-55 Tue 9/18 7. Joint class: Divergence to infinity, more formal proofs. (Berger) HW due 9/26: 8.3, 8.6, 8.8, 8.10, 9.1, 9.3, 9.5, 9.12, 9.14 Thu 9/20 8. Joint class: Monotone and Cauchy sequences. (Berger) Read pages 56-65 Tue 9/25 9. Joint class: Subsequences. (Grushevsky) No HW due 10/3 because of the midterm Thu 9/27 Joint Midterm I in Library E4320. Practice midterm 1, Practice midterm 2, Practice midterm 2 solutions Tue 10/2 10. Joint class: Subsequences. (Grushevsky) Read pages 66-78 HW due 10/10: 10.1, 10.2, 10.5, 10.8, 10.9, 11.2, 11.4, 11.5, 11.8, 11.9

The following syllabus below is only for MAT 320, in Math P-131
Subject to ongoing changes - please check regularly, and reload the page!
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 Thu 10/4 11. Lim sup, lim inf, series Read sections 12,14,15,16 Tue 10/9 No class, Fall break Thu 10/11 12. Series and series convergence tests HW due 10/17: PDF Tue 10/16 13. Decimal expansions Read sections 16,17,18 Thu 10/18 14. Continuity HW due 10/24: HW 7 Tue 10/23 15. Properties of continuous functions Read sections 18, 20 Thu 10/25 16. Limits HW due 10/31: HW 8 Tue 10/30 17. Topology in a metric space Read section 13 Thu 11/1 18. Topology in a metric space Read section 21 Tue 11/6 19. Topology in R^n HW due 11/7:HW 9 Tue 11/6 Midterm review session by Jack Burkart, MAT P-131, 7pm-8pm Thu 11/8 Midterm 2 Practice midterm, and Another practice midterm Tue 11/13 20. Continuity in a metric space Baire category HW due 11/15 (change!):HW 10 Thu 11/15 21. Connectedness and uniform continuity Read sections 22, 19 Tue 11/20 22. Uniform continuity short HW due 11/20: HW 11(a) Thu 11/22 No class - Happy Thanksgiving! Tue 11/27 23. Power series Read sections 23,24,25 Thu 11/29 24. Uniform convergence short HW due 11/28: HW 11(b) Tue 12/4 25. Derivative and mean value theorem Read sections 28,29,31 Thu 12/6 26. Taylor's theorem HW due 12/5: HW 12

Final Exam: Thu December 20, 8.00AM-10.45AM in Math P-131.
Practice final for 320.
Jack's review session Mon December 17, 7.00PM-8.30PM in Math 5-127
Sam's extra office hours in Math 3-109: Mon Dec 17, 10.00-11.30, Tue Dec 18 12.30-1.30

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