Mesa College Math 151

Here are some notes, originally from a Summer 2015 Math 151.

Notes of Jun 15 - review of substitution
Notes of Jun 16 - integration by parts
Notes of Jun 17 - more parts; trig integrals
Notes of Jun 18 - trigonometric integrals

Notes of Jun 22 - trigonometric substitution
Notes of Jun 23 - partial fraction decomposition and integrals of rational functions
Notes of Jun 24 - rational functions, L'Hospital's rule, improper integrals
Notes of Jun 25 - improper integrals, additional example of partial fraction decomposition

Notes of Jun 30 - rationalizing substitution, type 2 improper integrals; intro to differential equations
Notes of Jul 1 - separation of variables, modeling growth
Notes of Jul 2 - sequences

Notes of Jul 6 - geometric series, Test for Divergence
Notes of Jul 7 - telescoping series, Integral Test
Notes of Jul 8 - integral test remainder estimate, comparison tests
Notes of Jul 9 - alternating series test, alternating series estimation theorem

Notes of Jul 13 - absolute convergence, conditional convergence, divergence
Notes of Jul 15 - ratio and root tests, power series
Notes of Jul 16 - power series: radius and interval of convergence

Notes of Jul 20 - functions represented as power series; derivatives and integrals
Notes of Jul 21 - Taylor series
Notes of Jul 22 - more Taylor series
Notes of Jul 23 - applications of Taylor series

Notes of Jul 27 - parametric curves
Notes of Jul 29 - slope and arc length of parametric curves
Notes of Jul 30 - polar coordinates and curves

Notes of Aug 3 - area and arc length for polar curves
Notes of Aug 4 - conic sections in polar coordinates
Notes of Aug 5 - topics that may appear on the final exam

Let me know if a link doesn't seem to work as intended.

You may need to download Acrobat Reader in order to read the PDF files.

Date created: June 14, 2015
Last modified: June 26, 2017 at 12:13:44 AM PDT
Maintained by: Russell La Puma