Hey, im hoping to be an Engineer when i graduate. i just finished my second year of college. im taking calc 1 now in the summer and have been using youtube to learn a lot of the concepts and its been pretty awesome, since the book is the least helpful thing i have. But im a little worried about calc2 calc3 and deferential equations.
So i wanted to see if anyone knows a good website for learning higher division math? anything will help.
Calc 1 - 4 (diff eq) aren't too bad- you can generally google whatever topic you need help with and it'll have something on there.
You'll eventually learn something called Numerical Methods, which basically lets you get numerical answers using algorithms in programs like matlab or mathematica without having to actually do the differentiation/integration/etc...
At the same time, its not a bad idea to have a fairly strong command of the math, depending on what kind of engineering you're looking to get into. Mechanical/BioMed engineers have to know diff eq and calc 3 very well for understanding fluid and heat transfer equations.
http://mathworld.wolfram.com/ has an extensive amount of higher level math, although I have found it to be kind of terse, but it is decent as a review/summary of various topics. It's from the same people that make Mathematica.
I got an ECE undergrad degree and I'm starting grad classes in a couple weeks. I'm working full time and just taking a class per quarter, but learn that stuff and learn it well. For me, differential equations, vector calculus, and linear algebra are the ones I wish I totally went hermit on to master the topics.
http://cnx.org/ has a lot of stuff on it, and you may to be able to find other professors material on some of the subjects you are studying.
Pick up a copy of Schaum's Advanced Mathematics for Scientists and Engineers. It covers differential and integral calculus in all major multi-variable coordinate systems, liner algebra, and differential equations (with a few special chapters devoted to methods of solving multi variable, partial-differential equations). It will cost about $20 but it is a great reference. I still use it occasionally -- but honestly, there is some great software out there that does all of this for anyone with a little bit of advanced calculator know-how.
If you really like math, don't take calc 1 as a summer class. They usually jam 4 months of material into 8 or 9 weeks. Calc 1 is really the foundations for everything else, and you really want a good base for the rest of your mathematical studies on it.
Personally I really enjoyed calculus, but never used it much in my field when I graduated. In fact, up until 4 months ago I never used it once (I am a chemist though, not an engineer...)
Lol its actually 6 weeks ill be done on june 18th.. i really had no choice, im behind as it is and i have to take physics 1 with calc in the fall so i was forced. But i do enjoy a lot of material. what do u do exactly, if u dont mind me asking, research? PM me if u want.
From personal experience you can totally take intro physics concurrently with first semester calculus. If you pick up the Schaum's outline I talked about above you can review differentiation and trig functions which is the most you will need for intro physics.
I concur with the opinion that calculus 1 is the foundation for the rest of calculus and should be taken for the full semester. Six weeks is too short a time to cram all that info into. The next semesters of calculus are just a restatement of the first semester with some special cases thrown in.
I did QC work in both pharmaceutical and non-pharma work, and then I moved on to being an R and D scientist in the biotech field. The project that I am working on now usually involves characterizing enzymes and creating enzyme profiles to assist genetic engineers and other scientists in our work. Also, I do a little formulation work for products that will hit the market. Ironically enough almost every reaction rate that I measure, we find a way to make it linear instead of taking derivatives of the slope.
Another thing that sucks about summer courses is that they tend to skip over things in the interest of time management. At my school I don't even think that they offered that in the summer, not sure though. It's good to take those lazy social science classes that are not only worthless but that you could pass with half of your brain tied behind your back in the summer sessions. I hope that he isn't going to take Calc 2 in the summer too...
Schaums are good and cheap. The whole world uses them. The world's best calculus book is Spivak -- go read it. For differential equations: Schaums for an intro, Birkhoff and Rota for rigor. Also -- quiet as it's kept -- Wikipedia is excellent for math.
I been studying for nearly 5 years (out of 7) to get my engineering degree in electronics. Now I just realized that tomorrow or this week might mark the end of it all, which in that case I really don't know what I'll do. I'm living to study and do assignments only at the moment and well, pretty much ephedrine and sleepless nights have become a norm. It's gonna be tough my friend. Engineering is one tough son of a bitch but you gonna love it.