Based on AOPS "Introduction to Number Theory" textbook
7 week course includes 14 classes - 90 minute each
Covers all 15 chapters/topics in details
This class is open for in-person and online
Class recordings will be provided in case students miss any session
The Introduction to Number Theory course draws inspiration from the AOPS textbook and offers a comprehensive coverage of all the topics listed in the detailed lesson plan. Our teaching methodology includes in-depth explanations and extensive homework practice with a range of questions. Successful completion of this course will establish a solid base for students pursuing advanced math courses in middle and high school, and equip them with essential skills in the field of number theory.
Introduction to Counting and Probability
Teacher: Narender Gupta
Class Schedule: Tuesday and Thursday: 5:00 - 6:30 pm ET
Week 1: June 16, 18
Week 2: June 23, 25
Week 3: June 30, July 2
Week 4: July 7, 9
Week 5: July 14, 16
Week 6: July 21, 23
Week 7: July 28, 30
Fees: Pick any option below:
Full prepay: $336 ($24 for each 90 minute class - Avg to $16/hour)
Pay as you go: $36/class
Fee is calculated based on 14 scheduled classes and there is no charge for holidays.
Textbook: https://artofproblemsolving.com/store/book/intro-number-theory
Introduction to Number Theory Lesson Plan:
Class 1: Integers - Multiples, Divisibility, and Divisors
Class 2: Multiples and Divisors - Common Divisors and Multiples, GCD, and Euclidean Algorithm
Class 3: Primes and Composites - Prime Factorization, Trees, Factorization with Multiples and Divisors
Class 4: Divisor Problems and Divisibility Rules
Class 5: Special Numbers - Special Primes, Perfect, Abundant, and Deficient Numbers, and Palindromes
Class 6: Algebra With Integers
Class 7: Base Numbers - Couning in bundles, Bases number digits and Converting intergers between bases
Class 8: Base Numbers - Base Number Arithmetic
Class 9: Units Digits - Units Digits in Arithmetic and Base Numbers
Class 10: Decimals and Fractions - Terminating and Repeating Decimals and Decimals to Fractions
Class 11: Introduction to Modular Arithmetic - Congruence, Residues, and Patterns
Class 12: Divisibility Rules - Basics and divisibility with algebra
Class 13: Linear Congruences - Modular Inverses and Systems of Linear Congruences
Class 14: Number Sense - Forms and Numbers, Divisibility, and Factors
Email MathCoachingNG@gmail.com your name, student name and grade if you are unable to submit google form.