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LIVE 1004: Introduction

Sa/Su 9:30–10:30am from 10/29 (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.

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

Oct 2022
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Dec 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

Profile picture for Karthik Vedula
KARTHIK VEDULA

National MATHCOUNTS Countdown Round Qualifier • 2022 MOP Qualifier • 2022 USAMO Silver Medal • Top 10 in HMMT Invitational Competition (HMIC)

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Profile picture for Jessie Wang
JESSIE WANG

Attended MATHCOUNTS State (TX) twice • AIME qualifier since 7th grade • Enjoys singing in school choir, playing with her dog

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