Precalculus

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2 STUDENTS

Introduction to limits – Limit examples w/ brain malfunction on first prob – Squeeze theorem (sandwich theorem) – Proof: lim (sin x)/x – More limits – Sequences and Series – Permutations – Combinations – Binomial Theorem – Binomial theorem combinatorics connection – Introduction to interest – Introduction to compound interest and e – Exponential Growth – Polar coordinates – Parametric equations – Introduction to function inverses – Function inverse example – Basic complex analysis – Exponential form to find complex roots – Complex conjugates – Series sum example – Complex determinant example – 2003 AIME II problem 8 – Logarithmic scale – Vi and Sal explore how we think about scale – Vi and Sal talk about the mysteries of Benford’s law – Benford’s law explanation (sequel to mysteries of Benford’s law

Course Curriculum

Introduction to limits Details 11:32
Introduction to limits 2 Details 7:39
Limit examples (part 1) Details 8:58
Limit examples (part 2) Details 6:58
Limit examples (part 3) Details 9:58
Limit examples w/ brain malfunction on first prob (part 4) Details 15:3
Squeeze theorem (sandwich theorem) Details 7:37
Proof: lim (sin x)/x Details 18:5
More limits Details 13:10
Sequences and Series (part 1) Details 9:49
Sequences and series (part 2) Details 10:4
Permutations Details 10:11
Combinations Details 10:16
Binomial Theorem (part 1) Details 12:38
Binomial Theorem (part 2) Details 14:20
Binomial theorem combinatorics connection Details 11:59
Introduction to interest Details 9:56
Interest (part 2) Details 8:2
Introduction to compound interest and e Details 10:11
Compound interest and e (part 2) Details 10:15
Compound interest and e (part 3) Details 10:4
Compound interest and e (part 4) Details 8:4
Exponential Growth Details 0:16
Polar coordinates 1 Details 10:20
Polar coordinates 2 Details 9:31
Polar coordinates 3 Details 7:37
Parametric equations 1 Details 11:8
Parametric equations 2 Details 9:46
Parametric equations 3 Details 12:52
Parametric equations 4 Details 13:5
Introduction to function inverses Details 9:6
Function inverse example 1 Details 6:44
Function inverses example 2 Details 7:12
Function inverses example 3 Details 7:35
Basic complex analysis Details 13:4
Exponential form to find complex roots Details 11:53
Complex conjugates Details 8:4
Series sum example Details 14:18
Complex determinant example Details 12:58
2003 AIME II problem 8 Details 12:8
Logarithmic scale Details 11:15
Vi and Sal explore how we think about scale Details 6:56
Vi and Sal talk about the mysteries of Benford’s law Details 8:5
Benford’s law explanation (sequel to mysteries of Benford’s law Details 6:28

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