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LIVE 51: Introduction

Sa 1–2am from 2/4 (Your Time*)

Full 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.

We’ve carefully designed our courses to maximize engagement. Each of our LIVE classrooms has at least one staff member for every 13 students. The typical class size is around 30 students.

* The official meeting time for this course is 9:00am in China.

Diagnostic Tests:

Will I understand?Will I learn new things?

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

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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

Profile picture for Nicole Qian
NICOLE QIAN

AIME & Math Prize for Girls qualifier • Synchronized swimming • Plays bridge

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DANIEL HE

USA(J)MO Qualifier • MATHCOUNTS team coach • Plays cello

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