John Kerl's home page

John Kerl
Software engineer
Mathematician
Writer
kerl.john.r@gmail.com

Resumé, software repositories at GitHub, LinkedIn, Google+, blog.
Lecture notes
Documents
Software
Research
Teaching
Courses taught:
- Fall 2008, Math 124 (calculus I with applications), section 8:
  - Calendar and homework list, my weekly schedule.
  - Course policy.
  - Links: WebAssign, D2L, math.arizona.edu/~calc.
  - Study guide for the preliminary exam: prep.math.lsa.umich.edu/pmc.
  - Exam 1 study guide, exam 1, exam 1 solutions.
  - Exam 2 study guide, exam 2, exam 2 solutions.
  - Exam 3 study guide, exam 3, exam 3 solutions.
  - Exam 4 study guide, exam 4, exam 4 solutions.
  - Worksheet on optimization and related rates.
  - Worksheet on l’Hôpital’s rule.
- Spring 2007, Math 124 (calculus I with applications), section 8:
- Fall 2006, Math 111 (trigonometry), section 7:
  - Course policy addendum, calendar and homework list.
  - My weekly schedule.
  - Exam 2 study guide, exam 2, exam 2 solutions.
  - Course page: math.arizona.edu/~trig.
- Fall 2006 and spring 2007, Math 511A-B (abstract algebra), super TA:
  - Rob Pawloski’s problem sets.
  - Savitt’s assignments.
- Spring 2006, Math 110 (college algebra):
- Fall 2005, Math 110 (college algebra):
Information for students:
- Documents related to freshman math:
  - Why is the sum-of-consecutive-squares formula true?
  - A brief derivation of the sum and differences formulas for sine and cosine.
  - The gamma integral formula.
  - What’s with the base in exponential models?
  - We have a quadratic formula. Have you wondered if there’s such a thing as a cubic formula? In fact, there is.
  - Why cross the z’s?
- Links: math department home, math department tutoring, math department syllabus information, UA academic calendar, UA General Catalog, University Learning Center, Disability Resource Center.
Notes:
- The exemplar model in mathematics instruction
Notes from the professional-development course, 2005-06 (first teaching year):
- (1) Day one
- (2) Lecture notes
- (3) Organization and presentation
- (4) Classroom management, rapport, and motivation
- (5) Observations of other instructors
- (6) The Rule of Four
- (7) Policies
- (8) Feedback for the professional-development course
- (10) Writing exams
- (11) A lesson plan on word problems
- (12) Grading
- (13) Observations of other instructors
- (14) Semester two compared to semester one
Background
Personal
About this site
This is a collection of papers, presentation materials, and software: mostly mathematical, and mostly from my 2005-2010 PhD years in the University of Arizona Department of Mathematics ... although some new content does trickle in from time to time. :)

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You must be the change you want to see in the world. — Mohandas Gandhi