EPGY Number Theory M152

  • Euclid's Algorithm
  • Fundamental Theorems on Divisibility
  • Prime Numbers
  • Congruence of Numbers
  • Theorems of Fermat, Euler, Wilson
  • Congruence of First and High Degrees
  • Lagrange's Theorem and Applications
  • Residues of Power
  • Quadratic Residues
  • Introduction to Theory of Binary Quadratic Forms
Course Text

An Introduction to Number Theory, by Harold Stark, ISBN#0-262-69060-8
The EPGY Number Theory course covers much of what is generally covered in a first-quarter college number theory course course. The course focuses on theory and rigorous proofs of theorems. The course is designed to take about 12 weeks to complete on average. (3 units)

Lectures

A sample lecture screen from Elementary Number Theory. Audio is accompanied by graphical displays.
 The course is divided into several lessons, most of which begin with a lecture presented as digitized audio accompanied by either handwritten or formatted text.

View detailed lesson contents.

Exercises and Quizzes

After most lectures, students are asked to try some sample questions about the new material. Once they have some practice, they receive graded online quizzes.

Each week, students report their exercise and quiz scores to their instructor, who keeps detailed student records and identifies special problem areas.


A sample exercise screen

Homework

Throughout the course there are eleven homework assignments. These assignments are mailed to the instructor to be hand-graded. Students should expect to spend between 5-10 hours per week completing all the online and offline course assignments.

Exams

The course has a written "take-home" final examination, which is mailed to the course tutor for grading. The course grade is largely based on the final exam grade.

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