Math Tutorials

If your background is strong, i.e., if you really know your algebra, geometry, and pre-calculus, you’re going to do well in college calculus. You don’t need a high school calculus course.

https://news.harvard.edu/gazette/story/2018/07/masters-of-calculus-come-prepared-harvard-study-shows/

It's upsetting and incredible that something so obvious was ignored for the last 50+ years.

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When you use Jane's math tutorials, don't just watch. Take pencil and paper, do the problems along with her. Pause the video when you need to catch up. Take notes as if you were in a classroom. The more brain neurons we activate, the better we learn.

Algebra

Playlist "Algebra Review with Jane" (42 lessons)

Misc. Lessons

Exponents

Logarithms 6 parts, many examples

Factoring Trinomials of the form ax^2+bx+c

Completing the Square 5 parts, many examples

The Quadratic Formula

Partial Fractions (method fully explained, ignore calculus part)

Algebra Word Problems

High School Trigonometry

Lesson 1: Definitions

For students going into trig, this is a must!

The study of trigonometry (as well as any mathematical subject) should be based on a solid understanding of the basic ideas, and memorization should be kept to a minimum. For that reason we oppose using the "sohcahtoa" approach to trigonometry, which obscures the fundamental ideas.

Supplement to Lesson 1 Much Ado About Square Root 2

Lesson 2: Trig Identities (sine squared plus cosine squared equals one)

Lesson 3: Trig Identities (secant squared is one plus tangent squared)

Lesson 4: Trig Identities (sine of a sum)

Lesson 5: Trig Identities (cosine of a sum)

Lesson 6: Trig Identities (double angle identities for sine and cosine)

Lesson 7: Trig Identities (half angle identities for sine and cosine)

Lesson 8. WRONG Proofs (arguments that fail)

Lesson 9: RIGHT Proofs (3 examples)

Trigonometry of Non-Acute Angles

2nd quadrant 3rd quadrant 4th quadrant