Higher Arithmetic (alternatively Number Theory or Theory of Numbers) is a branch of mathematics that concentrates on the properties of integers, rational numbers, irrational numbers, and real numbers. Some consider imaginary and complex numbers to be under the purview of this discipline as well. If you're having a hard time remembering everything you need to in this challenging course, Varsity Tutors can connect you with an experienced High Arithmetic tutor to help you work toward your academic goals.
Here are some of the things you may study during Number Theory tutoring sessions:
- Set Theory
- Mathematics Proofs
- Greatest Common Divisors (GCD)
- Euclidean Algorithm
- Chinese Remainder Theorem
- Hensel's Lemma
- Quadratic Residues
- Diophantine Equations
- Primitive Roots
A big part of this course is memorizing various theorems and then applying them in your own written proofs. If you're having a hard time recalling the difference between Hensel's Lemma and Chinese Remainder Theorem, your Theory of Numbers tutor may create flashcards to make them easier to study. Each may also include examples to make them easier to drop into your own proofs. Higher Arithmetic tutoring enables you to work at your own pace. If primitive roots aren't clicking, your sessions can concentrate on them until they do. In contrast, the average classroom setting needs to move on to new material at a set rate. Any questions you ask can be answered immediately, allowing you to seek assistance as soon as you realize you need it. Legibility is also important for written proofs, so your tutor may help you with your penmanship if you need it.