Professor: Jeff Blanchard, Noyce 2516, blanchaj (at) math.grinnell.edu
Text: Understanding Analysis by Abbott. It is absolutely mandatory that you actively read the text.
Learning Goals:
Foundations of Analysis is the first course in the analysis sequence. The learning goals for this course are:
- develop a deep conceptual understanding of the foundational aspects of the analysis of real numbers including limits of sequences and series of real numbers, the topology of the real line, properties of functions of one real variable, limits of sequences and series of functions of one real variable, and the theoretical development of differential and integral calculus of functions of one real variable;
- improve proof writing skills;
- improve ability to reason abstractly;
- improve mathematical reading comprehension;
- improve mathematical oral and written communication;
- improve collaborative skills for mathematics.
Workload:
The College credit hour equivalence for the 7.5 week terms requires us to perform approximately 24 hours of course related work per week. This includes interacting with class meetings, reading, working on problems with and without your weekly partner, asking and answering questions on Piazza, writing solutions, studying, and completing exams. The take away message here is that you should expect to dedicate roughly 24 hours per week to the course.
Participation:
Students are expected to participate in class in three ways:
- Attendance and participation in lectures: students will be assigned a partner for each week and will have discussion with their partner during class. Excessive absences negatively impact both you and your partner. Students will be randomly selected to share their partner discussions with the full class.
- Partnerships: Students will be randomly assigned a weekly partner for working on problems, discussing reading, submitting Piazza problems, and submitting the Partner Problems for homework.
- Piazza: Students may demonstrate class participation by engaging with the class community on Piazza.
Reading:
Students must complete the daily reading assignment prior to the lecture.
- The readings for each lecture are listed on the class schedule.
- The reading should be done actively, working through the examples, attempting to understand the proofs, formulating questions or desired clarifications, etc.
- Questions/clarifications about the reading can/should be posted to Piazza.
- The lectures will be a second exposure to the material. While the material will overlap, this second exposure allows us to dive more deeply into the material.
- Lectures will assume you have completed the reading.
Homework:
There will be weekly assignments with three parts.
- Piazza Problems: Any problem in the text that is not assigned is a Piazza Problem. Each partnership should post at least one solution per chapter to a problem (or part of a problem) of their chosing. Each partnership should respond to at least one other posted problem.
- Partner Problems: Two problems will be specifically assigned for the partners to complete and submit a JOINT solution.
- Individual Problems: Each student will submit their own solution to the Individual Problems. Students should not collaborate on the Individual Problems.
Midterm Exams:
There will be two in-class, midterm exams tentatively scheduled for:These midterm exams will test the material covered since the previous exam. (The exam will be timed and can be completed in a 24 hour window. When you begin the exam on GradeScope, a timer will start during which you must complete your responses, create a digital document containing your responses, and upload the responses to GradeScope.))
- Monday, April 19;
- Monday, May 3.
Final Exam:
The final exam is scheduled forThe final exam will be comprehensive. (The exam will be timed and can be completed in a 24 hour window. When you begin the exam on GradeScope, a timer will start during which you must complete your responses, create a digital document containing your responses, and upload the responses to GradeScope.)
- Monday, May 24, 9:00 am - 12:00 pm.
Academic Honesty:
All students must be aware of and comply with the Grinnell College Academic Honesty policy.
In this course students are expected to collaborate on the partner homework assignments. Students are encouraged to generate discussions on our course discussion board.
Students should not collaborate on individual homework assignments.
Any resource (other textbooks or online) must be cited.
It is expressly forbidden to look for solutions online, in textbooks, solution manuals, or from other students.
It is also an academic honesty violation to solicit assistance from any online other forum.
All midterm exams and the final exam are open notes and open book. However, all exams are individual endeavors during which the student may not consult any other person or resource not provided with the exam or explicity permitted in the written instructions on the exam.
Attendance:
Attendance is expected and is part of your participation grade. If it is not possible for you to participate in the online, synchronous sessions, please make arrangements in the first few days of the class.
Accommodations:
If you are in need of specific learning accommodations, please meet with me early in the semester so that your learning needs may be appropriately met. If you have not already done so, you will need to provide documentation to and discuss your needs with the Coordinator for Student Disability Resources, John Hirschman (hirschma), located on the 3rd floor of the 3rd floor of Goodnow Hall (x3089). If you have an accomodation letter, please verify with me that I have received the letter. Any accomodations regarding timed exams will be automatically accounted for in the GradeScope testing environment if I have received the letter.
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