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Algebra

Conceptual videos and worked examples from basic algebra through algebra 2. Topics include solving and graphing linear equations and inequalities, systems of equations, ratios and proportions, absolute value, exponents and radicals, logarithms, polynomials, quadratics,functions, conics, complex numbers, and matrices.

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Algebra I Worked Examples

180 Worked Algebra I examples (problems written by the Monterey Institute of Technology and Education). You should look at the "Algebra" playlist if you've never seen algebra before or if you want instruction on topics in Algebra II. Use this playlist to see a ton of example problems in every topic in the California Algebra I Standards. If you can do all of these problems on your own, you should probably test out of Algebra I (seriously).

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American Civics

Videos about how government works in the United States

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Arithmetic

The most basic of the math playlists. Start here if you have very little background in math fundamentals (or just want to make sure you do). After watching this playlist, you should be ready for the pre-algebra playlist.

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Art History

Spontaneous conversations about works of art where the speakers are not afraid to disagree with each other or art history orthodoxy. Videos are made by Dr. Beth Harris and Dr. Steven Zucker along with other contributors.

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Banking and Money

Videos on how banks work and how money is created.

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Biology

Covers topics seen in a first year college or high school biology course.

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Brain Teasers

Random logic puzzles and brain teasers. Fun to do and useful for many job interviews!

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CAHSEE Example Problems

Sal working through the 53 problems from the practice test available at http://www.cde.ca.gov/ta/tg/hs/documents/mathpractest.pdf for the CAHSEE (California High School Exit Examination). Clearly useful if you're looking to take that exam. Probably still useful if you want to make sure you have a solid understanding of basic high school math.

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Calculus

Topics covered in the first two or three semesters of college calculus. Everything from limits to derivatives to integrals to vector calculus. Should understand the topics in the pre-calculus playlist first (the limit videos are in both playlists)

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California Standards Test: Algebra I

Sal works through the problems from the CA Standards released questions: http://www.cde.ca.gov/ta/tg/sr/documents/rtqalg1.pdf . Good videos to review Algebra I (The "Algebra I Worked Examples" playlist is more comprehensive and should probably be watched first).

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California Standards Test: Algebra II

Sal works through 80 questions taken from the California Standards Test for Algebra II. Good place to review the major topics in Algebra II even if you're not in California. Many of these topics are taught in more depth in the "Algebra" playlist.

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California Standards Test: Geometry

Sal does the 80 problems from the released questions from the California Standards Test for Geometry. Test at http://www.cde.ca.gov/ta/tg/sr/documents/rtqgeom.pdf . Basic understanding of Algebra I necessary.

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Chemistry

Videos on chemistry (roughly covering a first-year high school or college course).

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Competition Math

Example problems from random math competitions

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Computer Science

Introduction to programming and computer science

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Cosmology and Astronomy

Videos attempting to grasp a little bit about our Universe (many of the topics associated with "Big History")

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Credit Crisis

Videos on the causes and effects of the credit crisis/crunch.

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Currency

Videos about currency exchange

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Current Economics

Discussions of economic topics and how they relate to current events.

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Developmental Math

Worked developmental math examples from the Monterey Institute. These start pretty basic and would prepare a student for the Algebra I worked examples

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Developmental Math 2

Worked developmental math examples from the Monterey Institute (part 2). These start at Algebra I and would prepare a student for basic college mathematics.

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Developmental Math 3

More Developmental math videos

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Differential Equations

Topics covered in a first year course in differential equations. Need to understand basic differentiation and integration from Calculus playlist before starting here.

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Finance

Videos on finance and macroeconomics

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GMAT Data Sufficiency

Sal works through 155 data sufficiency problems in the GMAC GMAT Review book (so using real GMAT problems). Buy the book, then watch the videos.

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GMAT: Problem Solving

Sal works through tbe 249 problem solving (math) questions in the official GMAC GMAT book.

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Geithner Plan

Videos on the Geithner Plan to solve the banking crisis.

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Geometry

Videos on geometry. Basic understanding of Algebra I necessary. After this, you'll be ready for Trigonometry.

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Healthcare and Medicine

Videos about medicine and the healthcare system

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History

The history of the world (eventually)!

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IIT JEE Questions

Questions from previous IIT JEEs

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Khan Academy-Related Talks and Interviews

Collection of interviews with and presentations by Salman Khan. Also a few other mentions of Khan Academy at other talks.

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Linear Algebra

Matrices, vectors, vector spaces, transformations. Covers all topics in a first year college linear algebra course. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra.

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MA Tests for Education Licensure (MTEL) -Pre-Alg

Massachusetts Tests for Education Licensure (MTEL) General Curriculum (03) Practice Test explained by Sal. Good problems for deep understanding of pre-algebra concepts.

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Microeconomics

Topics covered in an traditional college level introductory microeconomics course

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New and Noteworthy

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Organic Chemistry

Topics covered in college organic chemistry course. Basic understanding of basic high school or college chemistry assumed

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Paulson Bailout

Videos to help understand the bailout.

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Physics

Projectile motion, mechanics and electricity and magnetism. Solid understanding of algebra and a basic understanding of trigonometry necessary.

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Pre-algebra

Videos on pre-algebra. Should be ready for the "Algebra" playlist if you understand everything here.

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Precalculus

Non-trigonometry pre-calculus topics. Solid understanding of all of the topics in the "Algebra" playlist should make this playlist pretty digestible.

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Probability

Basic probability. Should have a reasonable grounding in basic algebra before watching.

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SAT Preparation

I am going to work through every problem in the College Board "Official SAT Study Guide." You should take the practice tests on your own, grade them and then use these videos to understand the problems you didn't get or review. Have fun!

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Singapore Math

We will (eventually)do all of the lectures in the Singapore Math curriculum (which we like). You can follow along through the workbooks available at singaporemath.com

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Statistics

Introduction to statistics. Will eventually cover all of the major topics in a first-year statistics course (not there yet!)

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Trigonometry

Videos on trigonometry. Watch the "Geometry" playlist first if you have trouble understanding the topics covered here.

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Valuation and Investing

Building blocks and case studies on the financial analysis and valuation of public equities.

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Venture Capital and Capital Markets

All of the sources of funding (capital) for a business.

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Vi Hart

Recreational mathematics and inspirational videos by resident mathemusician Vi Hart

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ck12.org Algebra 1 Examples

Select problems from ck12.org's Algebra 1 FlexBook (Open Source Textbook). This is a good playlist to review if you want to make sure you have a good understanding of all of the major topics in Algebra I.

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