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Pre-Algebra | Algebra 1 | Algebra 2 | Geometry
2nd-4th year: Intermediate Level | Applied Mathematics | Graduate: Advanced Level | Topical
Lecture series & courses for non-science majors | Documentary Setsspacer

Algebra textbooks are very similar, they cover the same material (see Algebra textbook advice ).

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Review of Basic Math, Arithmetic, and Pre-Algebra

Video lectures, example math problems worked out, and other pre-algebra resources.

Subject
# of Lectures
Comments

Pre-Algebra Review Extremely brief crash course review of pre-algebra

39 Video Clips
Khan Academy, worked and explained example math problems, approximately
5 hours total duration over 39 clips
     
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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
     

Elementary Algebra (Introductory Algebra,
also called Algebra 1 )

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
     

Intermediate Algebra
(College Algebra,
also called Algebra 2)

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 (2nd - 4th year classes with various pre-requisites) 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
     

Geometry: The Introduction Course

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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Intermediate Level Math Courses (2nd-4th year)

Subject
# of Lectures
Professor

Fourier Transforms and its applications

30 Professor Brad Osgood, Stanford University, intended for Electrical Engineering students. However material is of broad scientific interest to many fields and areas of research.
     
     
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Applied Mathematics

The serious study of chemistry, physics, engineering, biology, and economics, all involve math. For example, the phrase "Mathematical Physics" refers to mathematics which are especially useful in various areas of physics. Here is where you can find lectures, videos, tutorials on such applied math useful in various fields of science.

Subject
# of Lectures
Note
Arithmetic, Population and Energy
1
Lecture
Fourier Transforms and its applications

30

Complete 30 lectures
     
     
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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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Documentaries, Lectures, Speeches, Talks, Videos

These lectures were originally intended for non-science majors. If I've listed a lecture series here, I do recommend it for science major's, just don't let it interfere with your actual course work, studying, and keeping up to speed with your classes. ~MW
Subject
# of Lectures
Professor
Alan & Marcus Go Forth and Multiply   Math Documentary
Math History   documentaries
Math Education   documentaries
Math Entertainment   documentaries
Math Tricks    
     
     
     
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