### MATH 230     Syllabus and Suggested Class Pace     Fall 2017

Please note that your instructor will likely adjust the syllabus from time to time. Exam dates may vary from the ones indicated. It is the student's responsibility to monitor the pace of the lectures. If you must miss a class, find out precisely which material you must learn on your own.

Some of the material is presented twice in the text, in slightly different ways; we will be using the "starred" versions of sections 6.2-6.4.

 Week Dates Sections from textbook Topics 1 8/28-9/1 5.1, 5.2, 5.3 Review, areas between curves, volumes by slicing, volumes by cylindrical shells 2 9/4-9/8 5.3, 8.1, 8.2 Labor day (No classes) , Volumes by cylindrical shells, arc length 3 9/11-9/15 8.2, 6.1, 6.2* Surface area, inverse functions, the natural logarithmic function 4 9/18-9/22 6.2*, 6.3*, T1 The natural exponential function, Test 1 5 9/25-9/29 6.4*, 6.6 General logarithmic and exponential functions, inverse trigonometric functions 6 10/2-10/6 7.1, 7.2 Integration by parts, trigonometric integrals 7 10/9-10/13 7.3, 7.4 Trigonometric substitutions, partial fractions 8 10/16-10/20 7.5, 7.7, T2 Strategy for integration, approximate integration, Test 2 10/20 Last day to withdraw from a full-semester course 9 10/23-10/27 6.8, 7.8, 11.1 Indeterminate forms and l'Hopital's rule, Improper integrals, sequences 10 10/30-11/3 11.2, 11.3 Series, integral test 11 11/6-11/10 11.4, 11.5 Comparison tests, alternating series 12 11/13-11/17 11.5, 11.6 Alternating series, absolute convergence, ratio/root tests 13 11/20-11/24 11.8, T3 Power series, Test 3, Thanksgiving break (November 22-26; No classes) 14 11/27-12/1 11.9, 11.10 T3 Power series representations, Taylor series 15 12/4-12/8 11.10, 11.11 Taylor series, Applications of Taylor polynomials, review for Final Thursday, 12/14 Noon-1:50 PM FINAL EXAMINATION