header_resources



  • Calculus web-sites : 
    • Calculus.org Offers tips on how to prepare for exams, some supplemental notes about multi-variable calculus. Some web-based programs (called applets) are also provided.
    • The Math Forum  Especially math tools under the "resources and tools" menu can be useful.
    • Calculus by Gilbert Strang This is a free book available online (thanks to Gilbert Strang). The book is not completely compatible with our syllabus. But some of the most essential topics are common. Chapter 13 in Strang's book closely matches Chapter 14 in our textbook. Chapter 14 in Strang's book and Chapter 15 in our textbook are along the same lines, though what we will cover is more comprehensive. Chapter 11 in Strang's book is a more general version of what are going to see about vectors, lines and planes in 3D (sections 12.1-5 in our textbook).
    • Al Shenk's Website Prof. Shenk taught Calculus classes for many years at UCSD. On his website there are exercises with step-by-step solutions.
  • Visualization Software : It is a good idea to use computers to plot graphs in 3D space, whether the graph is a surface or a curve. Calculators may not do as good of a job as computers when you need to visualize in 3D. If you cannot figure out the usage of any software below, please let me know.
    • Grapher If you have access to an Apple computer, the software grapher comes for free to plot surfaces, curves; even the parametric ones.  
    • Surface Explorer 3D If you have access to a PC, surface explorer 3D is a free software running under Windows to plot surfaces and curves. (also parametric curves and surfaces)
    • Plot3D This is another free software for Windows to plot graphs in 3D. Surface explorer 3D is a more general purpose tool, but Plot3D may be easier to use.
    • FooPlot This is a web-based software to plot 2D and 3D graphs that seems to work fine with Windows. Its capabilities are limited. Its advantage is it does not require installation.
    • Virtual Math Museum On this site some of the common curves and surfaces are illustrated. Most of them are advanced shapes, which we are not going to see in our class. But our famous friend sphere and the cycloid from section 10.1-example 7 in our textbook (though I am not sure how much time we will have for cycloids) occupy spots in this museum. This site is listed here to have some fun. We all need a break after working so hard.