Syllabus/schedule (subject to change) The first 10 lectures will be joint between MAT319 and MAT320. After that, we will provide each you you with a reccomendation as to whether you should go on to take MAT319 or MAT320. These will be based on your performance in the homework and first midterm. The plan is that the material in the first 4 weeks will cover the first 2 chapters and part of the 3rd chapter. The first midterm will be on the 5th week during recitation (in person).

Joint MAT319/320 classes
Week# Day Topic Homework Note
1 Aug. 24-28Tuesday Sets, Induction (Schul) Read 1.1-1.3, Appendix A and appendix B
ThursdayInfinite sets (Zhao)Due Sep. 4:
• 1.1:7, 10, 14, 22
• 1.2: 14, 20
• 1.3: 2 (also complete the proof of part (a) of Theorem 1.3.4), 9, 12
Submitted via Blackboard
2 Aug. 31 - Sep. 4TuesdayAlgebraic properties of the real numbers + inequalities (Schul) Read 2.1-2.3
Thursday Abs. Value + Completeness (Schul)Due Sept. 11:
• 2.1:2, 4, 20
• 2.2: 5,17
• 2.3: 4, 14
Submitted via Blackboard
3 Sep. 7-11.Tuesdaysuprema, completeness, Archimedean property (Zhao)Read: 2.3,2.4,2.5 until page 48No recitation Monday, Sep. 7
Thursdayintervals, decimals (Zhao)Due Sept. 18:
• 2.4: 3, 7, 11, 19
• 2.5: 2, 5, 14
Submitted via BB
4 Sep. 14-18TuesdayDecimals. Limits (3.1). [Schul] Read 3.1, 3.2
ThursdayLimit Theorems (3.2). [Zhao] Due Sept 25:
• 3.1: 5bc, 9, 18
• 3.2: 1bd, 6ac, 7, 10b
submitted via BB
5 Sep 21-25TuesdayFinish 3.2. (Zhao) Read: 3.2, 3.3, 3.4 Midterm Monday, Sept 21. Includes weeks 1-4
Thursday3.3, start 3.4 (Schul) Due Oct. 2nd: 3.3: 1,6,9. submitted via BB

Starting week 6, MAT319 and 320 are not held together

The following is for MAT320
Week# Day Topic Homework Note
6 Sep. 28-Oct. 2Tuesday 3.4 subsequences and BW theorem Read 3.4, 3.5, 3.6
Thursday3.5 Cauchy criterion Due Oct. 9:
• 3.4: 11, 16, 19
• 3.5: 4, 6, 10
submitted via BB
7 Oct. 5-9 Tuesday3.6: Divergent sequences. 3.7: Infinite Series. Read 3.6, 3.7, 4.1, 4.2
Thursday4.1: Limits of functions. 4.2: Limit theorems Due Oct. 16:
• 3.6: 9
• 3.7: 2, 5, 11, 12, 17
• 4.1: 8, 12c, 14, 15
• 4.2: 5
8 Oct. 12-16.Tuesday5.1+5.2:Cont. Func. and combinations Read 5.1, 5.2, 5.3
Thursday5.3: Cont. Func. on Intervals Due Oct. 23:
• 5.1: 1, 3, 11
• 5.2: 7, 10
• 5.3: 4, 6, 17
9 Oct. 19-23Tuesday5.4 Uniform continuity Read 5.4, 5.6
Thursdayfinish 5.4 and also 5.6: Monotone functions. Due Oct. 30:
• 5.4: 8, 9, 14
• 5.6: 7, 10, 12
10 Oct. 26-30Tuesdayfinish 5.6 + 6.1 read 6.1-6.3
Thursday6.2+6.3 Due Nov. 6:
• 6.1: 3, 8c, 12
• 6.2: 12, 14, 15
11 Nov. 2-6Tuesday6,3, 6.4 Read 6.3, 6.4, 7.1 Midterm 2 this week. AND Elections. Go vote.
Thursday6.4Due Nov. 13
• 6.3: 1,3,4
• 6.4: 13, 17, 18
12 Nov. 9-13Tuesday 7.1, 7.2 Read 7.1, 7.2, 7.3
Thursday7.2 Due Nov. 20
• 7.1: 4, 8, 9, 15
• 7.2: 7, 8, 12, 13
13 Nov. 16-20Tuesday7.3 Read 7.3, 7.4, 8.1, 8.2
Thursday8.1, 8.2 Due Wednesday, Dec. 2
• 7.3: 5, 9, 15, 20
14 Nov. 23-27Tuesday No classes this week. Happy Thanksgiving
Thursday
15 Nov. 30- Dec. 4Tuesday8.2, 8.3 Fully online this week
Thursday9Due Monday, Dec. 7
• 8.1: 4, 14, 19, 23

• Disability Support Services: If you have a physical, psychological, medical, or learning disability that may impact your course work, please contact the Student Accessibility Support Center, 128 ECC Building, (631) 632-6748, or at sasc@stonybrook.edu. They will determine with you what accommodations are necessary and appropriate. All information and documentation is confidential.
Students who require assistance during emergency evacuation are encouraged to discuss their needs with their professors and the Student Accessibility Support Center. For procedures and information go to the following website: https://ehs.stonybrook.edu/programs/fire-safety/emergency-evacuation/evacuation-guide-people-physical-disabilities and search Fire Safety and Evacuation and Disabilities. See also DSS