LIVE 25: Introduction
Tu/W/Th/F/M 1:45–2:45pm from 7/12 (Your Time*)
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 9:45am in New York.
Classes will meet on the highlighted dates. Click on any date to view the topics for that day.
Lesson on new topic
Discuss exam assigned for homework
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.
Geometry: areas of plane figures; congruent triangles; Pythagorean Theorem
Algebra; Geometry; Number Theory: area and volume of 3-D solids; prime numbers; prime factorization; systems of equations; transforming equations; square roots
Combinatorics: permutations; exclusion; complementary counting
Probability: counting; permutations; symmetry
Logic; Algebra; Statistics: equations in one variable; arithmetic series; the substitution method; average; word problems
Geometry: volume; similar figures; ratio and proportion; proportional lengths
Number Theory: least common multiple; prime numbers; unique factorization
Combinatorics: combinations; binomial coefficient identities; the multiplication principle
Algebra: rate-time-distance problems; problem-solving using diagrams
Geometry: circumference of a circle; irrational numbers; the distributive property; using equations to solve problems
Probability: percents with applications; decimals; conditional probability; sets; total probability; equations in one variable
Number Theory: word problems; parity; number of factors; prime factorization
Geometry: angles of a polygon; sum of angles of a polygon; properties of parallel lines; interior and exterior angles;
Algebra: reciprocals; sequences and series; factoring integers; least common denominator
Combinatorics: counting; permutations; problem-solving using diagrams; linear recurrence relations; Fibonacci sequences
Number Theory: Integers modulo m; square numbers; number sense techniques; variables
UPenn Class of 2026 • Co-President of INTEGIRLS-NYC chapter • MPFG qualifier • Self-taught competitive math
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3-time AIME qualifier • USAJMO qualifier • Member of track team
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