Open Course Ware - Basic Math for Engineering

[issler]

After you've finished high school if, for any reason you want to but can't attend an engineering college yet, there is a free website powered by MIT that provides video lessons recorded from their courses in a vast range of subjects.

I'm making a thread to help these people that want this kind of study but don't know where to find it or don't know what to study. I'm focusing mainly on math but it shouldn't be hard to navigate through their different courses.
URL: http://ocw.mit.edu/index.htm
These are the 4 more important courses in mathematics you will have in an engineering course, as well as in economics. These are the 4 most important math courses you will have in your life, for that matter. Either you're already in college and you're looking for material, still in high school and looking to learn more, no matter. These are the big four in mathematics.



Total prerequisite: At least 12th grade COMPLETE. A dedicated 12th grader shouldn't have much trouble with calculus though. I am putting in some specific prerequisites for those who haven't finished school yet, just so you can be aware of how far you should go. I'd totally recommend a tech-savvy 12th grader, or even a very dedicated 11th grader to take on Single Var. Calculus and Linear Algebra. You'll have to learn it either way if you're going for engineering and these are easy courses. Any way, suit yourself.


Ideally, in case you're an independent learner, you should proceed like this:
1. Single Variable Calculus + Linear Algebra (you can do both simultaneously or separately, either way)
2. Multivariable Calculus
3. Differential Equations
For most engineers, this is all the math you'll ever need in your life.






"BASIC" COURSES:

Single Variable Calculus 18.01

• Prerequisites: a good 11th grader should be able to learn it. Knowledge in polynomials and advanced trigonometry is a must, no analytic geometry required. A sound grasp on logarithms and exponential functions is also a must, although you won't need to be too strong the logs and exponentials to succeed.
• Duration: anywhere from 2 to 6 months, it depends on you
• Url: http://ocw.mit.edu/courses/mathemati...lus-fall-2010/

The site provides all the information you'll need ( books etc )




Linear Algebra 18.06

• Prerequisites: Some trigonometry knowledge(basics), analytic geometry(plane equation, line equation). Knowing matrices full well is definitely a must, and I mean FULL WELL. Advanced trigonometry knowledge and Advanced complex numbers knowledge is a must, as well as logarithms and exponential functions knowledge(also a must). For the early course (first 20 or so lessons) you will just need matrices, basic trigonometry and analytic geometry though.
• Duration: again anywhere from 2 to 6-7 months, depends on you.
• URL: http://ocw.mit.edu/courses/mathemati...a-spring-2010/

The site provides most of the info you'll need.



"ADVANCED" COURSES:

Multivariable Calculus 18.02

• Prerequisites: linear algebra and single variable calculus, otherwise don't even bother.
• Duration: Again, anywhere from 3 to 6-7 months, depends on your availability for the course.
• URL: http://ocw.mit.edu/courses/mathemati...lus-fall-2010/

The site has the rest of the information.




Differential Equations 18.03

• Prerequisites: single variable calculus and linear algebra for most of the course. Multivariable calculus to finish.
• Duration: Anywhere from 3 to 6-7 months, depending on your time availability.
• URL: http://ocw.mit.edu/courses/mathemati...s-spring-2010/

The site has the rest of the information.