Calculus II – Mat 122 – Fall 2008

 

Syllabus:

 

Assignments:

August 27 – Discussed derivatives, antiderivatives, and the relationship that exists.  Homework:  Know basic derivative formulas. Exercises 5.1 – 1-8. 

August 29 – Quiz.  Discussed basic integrations techniques.  Homework:  Know basic integration formulas, DEFINE real valued function of a real variable, Exercises 5.1 9-42 multiples of 3.

September 3 – Took up homework. Discussed application of basic integration formulas.  Homework:  Section 5.1 – 45, 47, 53, 55, 65, 69, 71, 73, 77, 79, 83, and 95-100. 

September 5 – Returned homework.  Discussed summation symbols and formulas.  Homework: Section 5.2 – 1-20.  Know the basic summation formulas from Theorem 5.2.

September 8 – Answered questions about homework quickly and discussed area under a curve.  Homework; Section 5.2 – 27, 29, 31, 33, 39 and 41.

September 10 – Discussed Section 5.3.  Homework:  Define Definite Integral.  Section 5.3 – 9 – 42 multiples of 3, 55, 57, 65-70.

September 12 – Quiz & collected homework.  Discussed Fundamental Theorem of Calculus.  Homework:  Section 5.4 – 9-43 – every other odd problem.

September 15 – Answered homework questions.  Discussed Mean Value Theorem and Average of an Integral over an Interval.  Homework:  Section 5-4 – 47, 50, 52, 53, 55, 57, 61, 74, and 75.

September 17 – Discussed integration by substitution.  Homework: Section 5.5 10-35, 50-75, 90-110 multiples of 5.

September 19 – Class cancelled due to funeral.

September 22 – Took up homework.  Several students worked homework questions.  Discussed the Second Fund. Th. Of Calculus, Even/Odd theorem and Trapezoidal Rule.  Homework:  Section 5.4, 95-105 odd, Section 5.5 - 37, 59, 63, 92, 108, 115, 120, 130, 137,139,161-166.  Section 5.6 - #2.   TEST is October 1 on Chapter 5.

September 24 - Discussed Simpson’s Rule, and three new integration formulas (ln, cot, and tan).  Homework:  Section 5-6 -  2 and 7; and Section 5-7 – 5, 10, 15, 20, 25, 30, 33, 37, 40, 41.

September 26 – Discussed five new integration formulas (sec, csc,  and forms that will integrate into arcsin, arctan, arcsec):  Homework:  Section 5.7 35, 37, 42, 51, 55 and Section 5.8 – 3, 7, 11, 15, 21, 27, and 25.

September 29 – Discussed integration questions.

October 1 – Test on Chapter 5 – Sections 1 – 8. Homework:  Section 6.1 – 37  - 47 odd.

October 3 – Discussed differential equations.  Homework:  Section 6.1 – 1, 3,5 7, 13, 15, 19 and Section 6.2 1, 5, 33, 35, 37, 62.

October 6 – Returned tests.  Discussed homework problems and how to adjust integrals to find area between two “curves”.  Homework:  6.3 – 1, 3, 13, 15, Section 7.1 – 1, 3, 5, 7, 9,. 14 and 17.

October 8 – Answered homework questions.  Homework:  Section 7.1 – 19, 21, 23, 25, 27, 29.

October 10 – Ditto:  Homework Section 7.1 – 35, 39, 43, 47, 53, 55

October 15 – Quiz.  Discussed disk method of finding volume of a solid of revolution.  Homework:  Section 7.2 – 2, 9, 11 a, c, 13, 16, 33.  Test in October 31.

October 17 – Discussed Washer method of finding volume of a solid of revolution.  Homework:  Section 7.2 – 11 b, d, 13, 17, 21, 23, 25, 27.

October 20 – quiz on washers (pairs of students).  Homework:  7.2 – 14, 17 30, 34-37.

October 22 – Discussed Shell method of volume.  Took up homework.  Homework::  7.3 – 5,9,17, 21,25,29

October 24 – Discussed arc length.  Homework 7.4 – 7, 9 13, 17, 19, 21.

October 27 – Discussed surface area.  Homework:  7.4 – 39, 41, 43, 45, 55 – use the graphing calculator on the last three.

October 29 – Answered questions.  Test on Friday.

October 31 – Test on Chapter 6& 7

November 3 – Reviewed methods of integration.  Returned tests. Homework:  Section 8.1 - 15, 17, 19, 23, 25, 39, 40, 45, 47, 49

November 5 – Answered homework questions.  Homework:  Section 8.1 - 57, 59, 63, 65, 69, 71,94,95,97.

November 7 – Discussed “parts” Homework – 8.2 – 11, 15, 19, 23, 27, 35, 39.

November 10 – More “parts”.  Homework – 8.2 – 30, 33, 37, 47, 49, 51, 53, 61, 67.

November 12 – Discussed Section 8.3 – Homework:  Section 8.2 – 103 a, b, c and Sectin 8.3 – 7, 11, 15, 27, 31, 33, 35 and 41.

November 14 – NO CLASS TODAY.

November 17 – Discussed homework questions and Section 8.4 – Trig substitutions.  Homework:  Section 8.4 – 5, 9, 13, 21, 23.  Test on December 3

November 19 – Discussed homework questions and Section 8.5 – Partial Fractions with linear factors only.

November 20 – Discussed homework questions and Section 8.5 – Partial Fractions with quadratic factors.

November 24 – Integration using Tables -

December 1 – Gave take home test.  Answered questions about homework using tables.

December 3 – Test on Chapter 8 through 8.6

December 5 – Discussed L’Hopital’s Rule.  Homework:  11-47 every other odd one.

December 8 –  Discussed improper integrals.  Homework:  5, 9, 15 – 47 every other odd one.

December 10 – Review test from December 3, answered questions about exam

December 12 – EXAM @ 11.