LIVE 70: Introduction
Tu/W/Th/F/M 5–6pm from 6/13 (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 1:00pm in New York.
Diagnostic Tests:
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
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