The Theory of Single Variable Calculus

Math 421

Final is on Tuesday, 12/19 in SOC SCI 6203 at these times


    Lecture 1, 5:05 - 7:05 pm

    Lecture 3, 7:25 - 9:25 pm.


Topics: The exam will be cumulative with most of the problems from chapters 10, 11, 12, and 13, but some questions will be on earlier material.


About half of the problems will be from the homework, the other half will be new.


Cheat Sheet


Lecturer:   Gabriele Meyer
Office:        720 Van Vleck Hall
Tel:            (608)-262-3745
email:         meyer at math dot wisc dot edu

Office hours:    MW 1:10 - 2:40 pm

Tutor:   Charles Dake
Office:        B205 Vleck Hall

Office hours:    M 3:20 - 5:20 pm, Tu 2:30 - 4:30 pm

  Kedi Cui , kcui6 at wisc dot edu
   Joyee Zhou, zhou338 at wisc dot edu


Lecture 1

MWF 8:50 - 9:40 am

Sterling 1313

Lecture 3

MW 12:05 Ė 12:55 pm

Sterling 1313

Text:      Calculus by Michael Spivak.

  Tentative Syllabus and Homeworks

This term we will be using Piazza for class discussion. The system is highly catered to getting you help fast and efficiently from classmates, the grader, and myself. Rather than emailing questions to the teaching staff, I encourage you to post your questions on Piazza. If you have any problems or feedback for the developers, email

Find our class page at:

Math 234 or consent of instructor. A student cannot enroll in Math 421 if he or she took the Honors Calculus sequence.

Catalog Statement:
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. The course is designated as "writing intensive" course. This means that there will be emphasis on proof writing. The midterm exams will be submitted twice. The second submission will be treated as a homework.

This course will be a seminar type course. Students are encouraged to present the work of their group on the blackboard. This will help you gain confidence presenting mathematics.

A student cannot get credit for Math 421 if they took Math 275-276.


You are expected to

There will be no solution sets, but I will go over many problems in class. It is essential that you spend time thinking about the problems, even if you canít come up with a proof in the end.

Subsequent Courses:
Math 521 and other upper level courses


LaTeX Resources

You may want to use collaborative online LaTex facilities like Overleaf or ShareLatex.

There will be about 14 home works, 2 midterms, and 1 final.
You are encouraged to form groups of 2 or 3 students. This is to encourage you to work collaboratively, just like working mathematicians. It means that you have to make a real effort to contribute. In the end you are responsible for all the material covered. The exams will be in class and some of the problems will be previous homework problems.



Midterm 1


Midterm 2




Extra credit