Jen Paulhus, Ph.D.

Elementary Number Theory

email: paulhus@math.grinnell.edu     pgp key
Office Hours: Monday 11:00-11:30, Tuesday 1:30-2:30, Wednesday 11:00-11:30, Thursday 2:00-3:00, or by appointment
Office: 2519 Noyce Science Center

Text: Explorations in Number Theory, Jeanne Agnew
Material Covered: Chapters 1-4, 7

The primary goal of this course is to prepare students for the 300 level mathematics courses and beyond. We use number theory as a backdrop to discuss how to think about mathematics, how to read mathematical writings, and how to write good mathematics.

Syllabus

Homework

Daily Topics

Class Date Section Pages Other Notes
Aug. 26 1.1 v-vi, 1-5
Aug. 29 1.2, how to read mathematics 7-9 Reading Report 1 (due night before)
Aug. 31 1.3 11-12, 15
Sep. 2 1.3, 1.4 13-15, 16-17 Reading Report 2 (due night before)
Sep. 5 1.4, 1.5 17-18, 22-25 Questions?
Sep. 7 1.5, 1.6 25, 27-30 Reading Report 3 (due night before)
Sep. 9 1.6,1.7 31, 32-34 Questions?
Sep. 12 1.7, 1.8, homework tips 34-35, 37-39 Reading Report 4 (due night before)
Sep. 14 1.10 45-49 Questions?
Sep. 16 basic counting, how to prepare for exams Reading Report 5 (due night before)
Sep. 19 1.9 41-43 Questions?
Sep. 21 1.11 51-54 Reading Report 6 (due night before)
Sep. 23 Exam 1 1.1-1.8, 1.10, induction, basic counting
Sep. 26 σ(n) and equivalence relations 53-54 (again), 63-65 Questions?
Sep. 28 2.1, 2.2 66-71 Reading Report 7 (due night before)
Sep. 30 math cultural norms, more counting see PWeb "Daily Topics and Homework" Questions?

Homework Assignments

Make sure you are familiar with the Grading Policies and Rubric for the class. Homework solutions will be posted on Pweb. Homework is due by 9:45 AM, unless you LaTeX the solutions and are in class the day the homework is due. Then it should be submitted on PWeb by 7 PM that day.

HW Due Date Problems
# 1 Aug. 31 [pdf]
# 2 Sep. 5 [pdf]
# 3 Sep. 9 [pdf]
# 4 Sep. 14 [pdf]
# 5 Sep. 19 [pdf]
# 6 Sep. 26 [pdf]
# 7 Sep. 30 [pdf] and reflection 1

   * Some extra induction problems.