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PreAlgebra  Algebra 1  Algebra 2  Geometry
2nd4th year: Intermediate Level  Applied Mathematics  Graduate: Advanced Level  Topical
Lecture series & courses for nonscience majors  Documentary Sets
Algebra textbooks are very similar, they cover the same material (see
Algebra textbook advice
).
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Algebra 1 
The following lectures cover all of 1st year introductory Algebra at the high school level. The 1st year math, or freshman math, may also be called "introductory," "intro," "Algebra I," or even Elementary Algebra, all those expressions being equivalent, no pun intended.
Later if you continue to follow math, major courses covered in 2nd, 3rd or 4th years may be called "intermediate level courses" not to be confused with Intermediate Algebra (Algebra 2) which follows
Elementary Algebra. For example, "intro vector
analysis" or "intro to complex analysis" are
actually intermediate level courses, for 2nd thru 4th year university students.
What follows in this short list are organized lecture sets covering introductory algebra presented by various professors from various major universities. These lecture sets and worked example problems collectively cover largely the same material, reorganized perhaps, but most importantly presented by different professors, each with his or her own style and wits. This is part of the same math sequence, math majors either take or are expected to take by their first year at University. Ideally this level of math should, not only be covered during high school, but should be mastered by the end of high school. Failing this, one would not be excluded from university, but it will cost more money and time to catch up. 




Textbook/Subject 
# of Lectures

Professor 




243
Video Clips

Textbook by Allen Angel & Dennis
Runde, 243 worked example algebra problems 










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Algebra 2 
The following lectures cover all of 1st year intermediate Algebra at the high school level. The 1st year math, or freshman math, may also be called "college," "inter," "Algebra II," or even Intermediate Algebra, all those expressions being equivalent, no pun intended.
Later if you continue to follow math, major courses covered in 2nd, 3rd or 4th years may be called "intermediate level courses" not to be confused with Intermediate Algebra (Algebra 2) which follows
Elementary Algebra. For example, "intro vector
analysis" or "intro to complex analysis" are
actually intermediate level courses, for 2nd thru 4th year university students.
What follows in this short list are organized lecture sets covering intermediate algebra presented by various professors from various major universities. These lecture sets and worked example problems collectively cover largely the same material, reorganized perhaps, but most importantly presented by different professors, each with his or her own style and wits. This is part of the same math sequence, math majors either take or are expected to take by their first year at University. Ideally this level of math should, not only be covered during high school, but should be mastered by the end of high school. Failing this, one would not be excluded from university, but it will cost more money and time to catch up. 




Textbook/Subject 
# of Lectures

Professor 




275 Video Clips 
Textbook by Allen Angel & Dennis
Runde, 275 worked example algebra problems 










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Geometry 
The following lectures and worked example problems on Geometry will span everything from high school geometry to 1st year university level geometry, as introductory level geometry. Other advanced geometry lecture sets will be placed in intermediate level math courses (2^{nd}  4^{th} year classes with various prerequisites) and math electives, below.
What follows in this short list are organized lecture sets covering introductory geometry presented by various professors from various universities and schools, each with his or her own style and wits. There may be some variation in content from one lecture set to another, depending on the video authors. In contrast to video lecture sets in Algebra 1 and Algebra 2, it would be worth more to watch all video sets in this subject to maximize coverage of the subject. This will be the case for both Geometry and Trigonometry. In later subjects, the content will be far better organized, much like in the Algebra 1 & Algebra 2 video lecture sets. This is part of the same math sequence, math majors either take or are expected to have taken by their first year at University. Ideally this level of math should, not only be covered during high school, but should be mastered by the end of high school. Failing this, one would not be excluded from university, but it may cost more money and time to catch up. 




Textbook/Subject 
# of Lectures

Professor 




86
appx 31 hrs 
Professor Rob Bob, AKA Mr. Tarrou, he's high energy, loves his work, and I'm a big fan.
Approximately 31 hours long. 










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Math Electives 
Most major's will require so many additional elective classes, in major subject, as well as for other important subjects, without specifying which you must take. This is where you'll find math lectures for classes which would be typical math electives, though not core requirements.
An example would be a math major requiring 4 credits in analytic math, yet offering 12 credits worth of classes on the subject, i.e. Analytic Math I, Analytic Math II, and Analytic Math III. Also perhaps the same for Vector Math I, Vector Math II, Vector Math III, Vector Math IV. Yet only the first of these, Analytic Math I and Vector Math I, are listed as a core requirements. It is up to the students preference to choose areas to specialize in. These are examples of elective choices.
Here is where you can find lectures, videos, tutorials on such possible elective math subjects hopefully useful to your study of mathematics. 
Subject 
# of Lectures

Notes 
History of Math: 50 centuries in 50 minutes 
1


History of Mathematics by N. J. Wildberger in 18 hours of lectures 
Lecture Set 
Excellent undergraduate university lecture series in math history, I highly recommend! 













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Advanced Level (Graduate) Mathematics 
Subject 
# of Lectures

Professor 
Coming Soon! 


















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