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Gerbrand
Calculus ground work. Any suggestions were to start except from the beginning?
Start with a solid review of algebra. Law of powers and things like that. A review of basic trig relations (what sin, cos and tan are) is very helpful. Reviewing the natural log (especially when combined with powers) is good. Things like solving for a variable and simplifying an equation should be automatic for you. And just as a personal opinion, I found getting used to using WolframAlpha and Mathematica to plot equations very helpful in visualizing what is going on. When you plot an equation and its derivative, you can visually see the relationship of the curve to the slope. Hope this helps!
As far as topics are concerned.... limits: existence of a limit - graph analysis evaluating a limit by use of a table of values. evaluating a limit at a specific value (denominator not equal to zero) evaluating a limit at a specific value (denominator equal to zero) evaluating a limit to infinity derivatives: definition of a derivative using limit as h approaches zero. graph analysis of secant and tangent lines power rule constant rule product rule quotient rule chain rule trig rules a^x e^x ln(x) inverse trig rules implicit differentiation graph analysis of f,f',f"" integrals: integration of basic functions integration of trig functions applications: related rates particle motion area between two curves volumes of revolution about a line or axis differential equations with an initial condition slope fields trapezoidal approximations Riemann Sums These are just a few of the common topics discussed in an introductory Calculus course....I'm sure I left out a few....they will come to me later I'm sure....
Thank you guys for the swift replay. Its very helpful. BTW. The MIT open course videos is of great help. Wish there is work book that i could find with the same course material.
Gerbrand - not sure if you are in the US, but any bookstore/Amazon has calculus problem books, usually with solved questions. Pick up one of these, as calculus at this level is very similar across textbooks. You can also try some places like Google Books as well - "The Calculus" by Davis and Brenke (1912) really isn't all that different from modern Calculus books! Honestly, you can get a lot from taking these older books and using WolframAlpha to solve the problems - use the 'Show Steps' feature of WolframAlpha to demonstrate how the answer was arrived at. Good luck!