• Here's a link to the course syllabus for the 11:30 class.
• Here's a link to the course syllabus for the 1:50 class.
• Office Hours (tweak) 2:30-4:30 Tuesdays, 3:4 Wednesdays. BLOC 206C.
• Week 1 sketch: We covered spheres and their equations, coordinate systems, dot products, cross products. Right on schedule. Here's a problem to think about: Find a point in 3D Cartesian space so that the vector from the origin to that point is perpendicular to both <1,2,2> and <2,1,-2> and lies on the sphere (x-1)^2+(y-2)^2+(z-3)^2=46.
• A batch of problems from which I selected a subset to serve as exam problems for a Math 251 class last semester. This is more problems than go on any one exam, but it gives you a look at the kind of things one can do with the subject material. For right now, much of this material requires knowledge of topics we have not yet studied. Some of it, though, concerns topics we've already covered and you can try your hand at it. Problems pool
• Some functions of two variables, their graphs as plotted 3D by Mathematica, and their contour maps also plotted that way. The images have been permuted but in the final pages the mask is lifted and each formula appears next to its own two graphics. Click here for the PDF file.
• A page or two about inequalities, limits, and proofs , Contains a number of problems on which to practice.
• A few pages about the definition of limit, proofs, and `Alice and Bob'. The interplay between formal definitions and proofs, and the game and its workings.
• EXAM 1 is on Friday Sept 30, and covers everything up to wherever we get this week. The syllabus referred to the suggested schedule, and that had Exam 1 at the end of week 5, but until now the exact date had been reserved, for in case we got behind a bit.
• A sheet with some of the less obvious definitions rephrased and explored. Definitions and meanings.
• The Mathematica notebook with the example of an ascent in the spirit of Lagrange multipliers. PDF version of the notebook; most any computer can read it. If you want to see the gears grind and you have access to Mathematica, here's the executable Mathematica notebook for ascent.
• Solutions to Exam 1, both versions. One version and the other version. Both classes would do well to read both sets of solutions.
• A sheet about integrating powers of cosine and sine. The sheet completes calculations that would have taken too much board time, and illustrates the advantages of putting a toe in the waters of e^(i z).