http://www.reddit.com/r/matheducation/comments/ilona/self_study_undergraduate_math_video_lectures/
I'm trying to compile a series of video lectures that would substitute for or supplement a full undergraduate math program. I hope you guys can help me fill it out, make suggestions on the order and so on. I want to include the highest quality courses available. When complete I plan to create a website where I link to these as well as any other supplementary material that may be useful to autodidacts. If you've actually watched any of these courses or know of better substitutes, your feedback is especially useful. Also, I'm not a math major, so suggestions on what truly constitutes the core of a math education are helpful.
Freshman
- Single Variable Calculus (MIT 18.01) [1] videos
- Multivariable Calculus (MIT 18.02) [2] videos
- Linear Algebra (MIT 18.06) [3] videos
- Alternate: Intro to Linear Algebra (UCCS 313) [4] videos
- Optional: Logic Primer on Youtube [5] videos
- Optional: Probability and Statistics for Business (Berkeley 21) [6] videos [7] book
Sophomore
- Differential Equations (MIT 18.03) [8] videos
- Real Analysis I (UCCS 533) [9] videos
- Alternate: Real Analysis (ICTP) [10] videos
- Discrete Math (Arsdigita 02) [11] videos
- Number Theory (UCCS 311) [12] videos (requires registration)
- Mathematical Statistics I (UCCS 481) [13] videos
Junior
- Complex Analysis (Suffolk Math 481) [14] videos
- Modern Algebra (UCCS 414) [15] videos
- Alternate: Abstract Algebra (Harvard E-222) [16] videos This appears to be a more in depth alternative to the Modern Algebra course
- Functional Analysis [17] videos
- Alternate: Functional Analysis (ICTP) [18] videos
- Mathematical Statistics II (UCCS 482) [19] videos
