MATH 421: The Theory of Single Variable Calculus

office: 713 Van Vleck
e-mail: maxim AT math.wisc.edu
office hours: Tue: 2:30-3:30PM.

CLASS SCHEDULE:

MoTuWeTh 1:00PM - 2:15PM, Room VAN VLECK B219.

CLASS HOMEPAGE: http://www.math.wisc.edu/~maxim/421S19.html

COURSE DESCRIPTION

This course covers material in first and second semester calculus but it is intended to teach math majors to write and understand proofs in mathematics in general and in calculus in particular.

SYLLABUS

TEXTBOOK:

Calculus, 4th edition, by Michael Spivak.
Publisher: Publish or Perish; ISBN: 9780914098911.

POLICIES ON GRADES AND EXAMS:

Your course grade will be based on quizzes (30%), and two in-class midterms (35% each).
Your total scores will be curved. No letter grades will be assigned before the end of the semester.


The midterm exams are scheduled during regular class time on July 11 and August 7.


Use of phones, tablets, laptops or calculators will not be allowed during exams. You must bring a valid UW Photo ID to all exams.


If you are eligible for special consideration on exams, please let me know as soon as possible, so that I can ensure that your needs are accommodated.
Students holding McBurney visas will take their exams at the Testing Center, read here and here for more details.


Make-up midterm exams will be considered only if there is a conflict with another university-related event (in which case case you need to contact me as soon as possible), or a last-minute medical/family emergency (you need to show proof of such emergency, e.g., doctor's notes).

GETTING HELP:

If you need help with the course, first talk to your instructor. Other sources for help include:
• Drop-in Tutoring: offered by the College of Engineering's Undergraduate Learning Center (free).
• Guts (The Greater University Tutoring Service): is supported by the university with volunteer tutors (free).
• University Residence Halls Academic Tutoring.
• Private Tutors: if you prefer, some math department graduates offer tutoring services.

HOMEWORK:

Homework will not be collected or graded, but the quizzes in discussion will be based on these assignments, and completing these assignments is essential to learning the material. The assignments will be posted in the table below as we cover the class material.

Part I.	Chapter 1: 4(xi,xiii), 7, 10, 14, 15, 17. Chapter 2: 1, 3, 4, 5, 13.
Part II.	Chapter 3: 1, 3, 6, 7, 8, 12, 23. Chapter 4: 2, 6, 8, 11, 14. Chapter 5: 1(iii,vi), 2(ii), 8, 9, 10(a,b), 12(a,c), 13, 17(a), 19, 34. Chapter 6: 3, 4, 7, 14, 16(a,b) Chapter 7: 1(i,ii,iv,xii), 3(ii), 6, 8, 20(a). Chapter 8: 1, 2, 3(a), 5, 6, 7.
Part III.	Chapter 9: 3, 8, 10, 13, 14, 16, 27. Chapter 10: 2(iv), 8, 16(a), 18, 22, 29. Chapter 11: 10, 12, 13, 14, 30(a), 35 (the corresponding problems in the 3rd edition are: 9, 11, 14, 15, 27(a), 32). Chapter 12: 5, 6, 8 (same numbers in 3rd and 4th edition). Chapter 13: 5, 13, 14, 23, 29, 37 (the corresponding problems in the 3rd edition are: 5, 14, 15, 24, 30, 38). Chapter 14: 1(viii), 6, 18 (the corresponding problems in the 3rd edition are: 1(viii), 7, 22).

Quizzes:

Quizzes will be given during class and will be based on the above homework assignments.

Quiz date	What to prepare
June 24	Chapters 1-4.
July 1	Chapters 5,6,7.
July 8	Chapter 7,8.
July 15	Chapter 9,10.
July 22	Chapters 11,12

WELCOMING MESSAGE:

As a diverse group, the Mathematics Department strives to foster an open and supportive community in which to conduct research, to teach, and to learn. In accordance with these beliefs and Sect. 36.12 of the Wisconsin Statutes, the Mathematics Department affirms that all community members are to be treated with dignity and respect and that discrimination and harassment will not be tolerated. We further commit ourselves to making the department a supportive, inclusive, and safe environment for all students, faculty, staff, and visitors, regardless of race, religion, national origin, sexual orientation, gender identity, disability, age, pregnancy, or any other aspect of identity. For more information, refer to https://www.math.wisc.edu/climate

I am firmly committed to promote an anti-discriminatory environment where everyone feels safe and welcome. As such, you are expected to treat your instructor and all other participants in the course with courtesy and respect. Your comments to others should be factual, constructive and free from harassing statements. Students need to contribute in intelligent, positive, and constructive manners within the course.

MENTAL HELP:

As a student you may experience a range of issues that can cause barriers to learning. These might include strained relationships, anxiety, high levels of stress, alcohol/drug problems, feeling down, or loss of motivation. University Health Services is here to help with these or other issues you may experience. You can learn about the free, confidential mental health services available on campus by calling 608-265-5600 or visiting uhs.wisc.edu. Help is always available.

There are several options for confidential support, counseling, and medical services for student victims of sexual assault, dating violence, domestic violence on and off the UW-Madison campus. Student victims also have options for reporting to campus and/or law enforcement. For information about all of these options, please visit https://uhs.wisc.edu/assault/sa-resources.shtml

ACADEMIC INTEGRITY:

Students in this class have the right to expect that their fellow students are upholding the academic integrity of this University. Academic dishonesty is a serious offense at the University because it undermines the bonds of trust and honesty between members of the community. On homework assignments, academic dishonesty involves using someone else's work without attribution (see the homework section for details). On quizzes and exams, academic dishonestly includes but is not limited to: looking at another students' work, making use of a disallowed reference during an exam, looking at a cellphone for any reason (even if it's just to check the time) during an exam, or not following the stated policies for take-home exams.

The math department treats all incidents of academic dishonesty very seriously. For instance, the consequences for cheating on an exam may range from automatically failing the course to suspension or expulsion. We will not hesitate to initiate disciplinary procedures should such a case arise. For more information, refer to https://www.students.wisc.edu/doso/academic-integrity/