AoPS_Number_Theory 2020 Spring Week 1: Linear Models
Welcome to the new course of AoPS: Intro to Number Theory! Here is the course information and teaching schedule: http://blog.newtonchineseschool.org/lilijia/number-theory/
Welcome new friend Alex!
Lesson Review:
- We did a pretest and went through all the problems in class. Make sure you get the basic skills for this class (especially: finding divisors and remainders, exponents, solving quadratic equations)
- Integers, natural numbers, whole numbers, counting numbers
- Perfect square/cube/power
- Remainder
- n/0 is undefined
- a proper divisor of an integer n is a positive divisor of n other than n.
- We commonly write n|k. This means that n is a divisor of k. (n is the divisor, and k is the dividend)
- If a|b and b|c, then a|c, i.e. divisibility is a transitive relation.
Homework:
- Page 6: Ex 1.2.3
- Page 10: Ex 1.3.5, 1.3.9
- Page 14: Ex 1.4.1
- Page 18: Ex 1.5.1 (j) (i)
- Page 19: Ex 1.6.1, 1.6.2
- Page 24: Ex 1.17, 1.18 (*1.19 bonus)
Other Resources:
- https://www.khanacademy.org/math/pre-algebra/pre-algebra-factors-multiples/pre-algebra-divisibility-tests/v/divisibility-tests-for-2-3-4-5-6-9-10
- https://artofproblemsolving.com/wiki/index.php/Divisibility
- https://en.wikipedia.org/wiki/Divisor
- https://blog.rinatussenov.com/useful-math-divisibility-signs-fbc08baf20c6
No school next Sunday. Happy Lunar New Year! See you on 2/2 (We will learn Chapter 2: primes and composites).
Please join in the Wechat Group:
