Completed lecture notes
- Section 10.1 (Sequences) class of July 9-beginning of class of July 11
- Section 10.2 (Series) class of July 11-beginning of class of July 14
- Section 10.3 (The Integral and Comparison tests; Estimating Sums) class of July 14-beginning of class of July 18
some remark: on page 10 you can apply comparison test by using that 4^n-n>(4^n)/2 or that 4^n-n>=3^n
- Section 10.4 (Other convergence tests) class of July 18
- Section 10.5 (Power series) class of July 21
- Section 10.6 (Representation of functions as power series) class of July 23 (please review also example 4 on page 9 we did not make in class)
- Section 10.7 (Taylor
and
Maclaurin series) class of July 25 (note that in class we make it in a
different order: we started with Maclaurin series andthen did some
excercises on Taylor series; we will continue to do it next class)
- Section 10.9 (application of Taylor polynomials) class of July 28, will
be continued in July 30 (please disregard example 4 on pages 5 and 6
there; we started example 5, note that it should be ``at a=pi/4'' in
the formulation of this example; we will finish this example, and also
the next one and also do some other example which will posted after
class of Wednesday)
- Sections 11.1 and 11.2
(three dimensional coordimnater system. vectors. and the dot product),
class of August 1 (we still did not discuss scalar and vector
projections, pages 12-15 of notes for 11.2)
- List of problems for review for final exam (please print and bring to class on Monday, August 11) and their solutions