 #### LIVE 31: Introduction

Tu/W/Th/F/M 9–10pm from 7/12 (USA Eastern Time)

Enroll \$399Full Course Details

This LIVE course contains a total of 20 hours of live video instruction (~\$20/hour), plus 1 year of access to Prof. Loh's recorded videos from this course.

### Calendar

Classes will meet on the highlighted dates. Click on any date to view the topics for that day.

Color Key:

Lesson on new topic

Discuss exam assigned for homework

Jul 2022
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Aug 2022
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### Syllabus

The 20 course meetings are split in 16 lessons (called Day 1 through Day 16 below), and 4 homework exam discussions. Each exam discussion meeting happens after 4 lessons.

Day 1

Geometry: areas of plane figures; congruent triangles; Pythagorean Theorem

Day 2

Algebra; Geometry; Number Theory: area and volume of 3-D solids; prime numbers; prime factorization; systems of equations; transforming equations; square roots

Day 3

Combinatorics: permutations; exclusion; complementary counting

Day 4

Probability: counting; permutations; symmetry

Day 5

Logic; Algebra; Statistics: equations in one variable; arithmetic series; the substitution method; average; word problems

Day 6

Geometry: volume; similar figures; ratio and proportion; proportional lengths

Day 7

Number Theory: least common multiple; prime numbers; unique factorization

Day 8

Combinatorics: combinations; binomial coefficient identities; the multiplication principle

Day 9

Algebra: rate-time-distance problems; problem-solving using diagrams

Day 10

Geometry: circumference of a circle; irrational numbers; the distributive property; using equations to solve problems

Day 11

Probability: percents with applications; decimals; conditional probability; sets; total probability; equations in one variable

Day 12

Number Theory: word problems; parity; number of factors; prime factorization

Day 13

Geometry: angles of a polygon; sum of angles of a polygon; properties of parallel lines; interior and exterior angles;

Day 14

Algebra: reciprocals; sequences and series; factoring integers; least common denominator

Day 15

Combinatorics: counting; permutations; problem-solving using diagrams; linear recurrence relations; Fibonacci sequences

Day 16

Number Theory: Integers modulo m; square numbers; number sense techniques; variables

### Co-Stars ###### KIRAN REDDY

3-time MATHCOUNTS Nationals qualifier • USAJMO qualifier since 8th grade • Tennis state champion

Click for more ###### ANGELA CAI

UPenn Class of 2026 • Co-President of INTEGIRLS-NYC chapter • MPFG qualifier • Self-taught competitive math

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