Week 



Friday 
1  8/24 Introduction & Review
(Thinkwell) 
8/25 More review. Differential equations and IVA IVB IVC 
8/27Direction Fields IV.D  8/28 Euler's Method IV.E 
2 
8/31 More Euler's Method Discussed 
9/1
Begin Models for (Population) Growth and Decay: y' = k y; y(0)=1. k = 1. The exponential function.VI.A estimate e from (1+1/n)^{n}. Models for learning. y' = k / x; y(1)=0. k =1 VI.B 
9/3 Review Substitution More on the relation between the DE y'=y with y(0)=1 and e^{x}. 
9/4 More on y'=y and the exponential function. Models for learning. y' = k / x; y(1)=0. k =1 VI.B 
3 POW #1 Due 9/8 Summary #1 due 9/11 
9/ 7 No Class. Labor Day. 
9/8 y = ln (x) and ln(2) lnx and integration of 1/x. More on ln. 
9/10 Begin Bounded learning. Improper Integrals I 
9/11 More on improper integrals 
4 POW #2: Due 9/21  9/14 Bounded learning and Arctan. VI.D  9/15 More Review Substitution(ii)  9/17 More DE models. Separation of variables.Growth/Decay Models. [Symbolic] .  9/18 The Logistic Model 
5 Summary #2 due 9/25 
9/21More logistic. Integration of rational functions I. VII.F 
9/22 Rational functions II  9/24
Rational functions III VII.F 
9/ 25 End Rational Functions 
6 POW #3: Due 10/2  9/28 NO Class Flashman Furlough Day. 
9/29One more Meany!? Begin Improper Integrals II 
10/1 Improper Integrals and
comparison tests III Integration by parts I 
10/2Numerical Integration.(Constant and Linear) Integration by parts. II VII.C 
7 Summary #3 due 10/9 
10/5
comparison
tests? Integration by parts (finale?) 
10/6 Numerical Integration. (linear), V.D  10/8 Numerical Integration. (linear and quadratic), V.D  10/9 Last look at Numerical Integration (quadratic) V.D Footnote on Integration by Parts: reduction formulae. Start Taylor Theory? 
8
Exam I Self
scheduled: 10/14 
10/12 Taylor Theory I. IXA Applications: Definite integrals and DE's. 
10/13 Review for exam #1 (?) 
10/15. Taylor theory IXA..

10/16 Taylor theory continued for e^x . 
9POW #4: Due 10/19 Summary #4 due 10/23 
10/19 Taylor theory IXA..

10/20IXB MacLaurin Polynomials  10/ 22MacLaurin
Polynomials IXB

10/23 IX.C More on finding MacLaurin Polynomials & Taylor theory. Use of absolute values 
10POW #5: Due 11/2  10/26 Geometric sequences. Taylor Theory for remainder proven. 
10/27 IX.D Taylor
Theory
derivatives, integrals, and ln(x).Begin Sequences and series. X.A 
10/29
Sequence properties:
Unification. 
10/30 Series Conv. I Geometric and Taylor Series. geometric series X.B1_4 
11 Summary #5 due 11/6  11/2 Series Conv. II Harmonic Series. Incr&bdd above implies convergent. 
11/3
Series Conv. III The divergence test. 
11/5Series Conv. IV More on geometric series. Intro to power series concepts of convergence and functions. Taylor Series convergence. Theorem on R_{n} Taylor polys and Series. 
11/6
Positive series & Integral test. 
12 
11/9
Alternating Series Series to solve DE's  Motivations f''(x) = f(x) with f(0)=0 and f'(0)=1 Positive comparison test 
11/10
Ratio test for Positive Series X.B5 Trig Integrals I sin & cos 
11/12 Series Conv.VI Absolute conv. & conditional: The General ratio test: Power Series I XI.A 
11/13Power Series II (Interval of convergence)XI.A Trig Integrals II sec&tan Taylor Series 
13 Exam
II self scheduled Tues/Wed. 17/18 
11/16 Power Series III (DE's) 
11/ 17 Power Series IV (Functions and DE's) 
11/19 Area Revisited Trig substitution (begin area of circle) I (sin) VII.E Favorite estimates. 
11/20 NO Class: Furlough Day 
14 No Classes
Thanksgiving 
11/23  11/  11/ Thanksgiving  11/ 
15 POW #6: Due 11/30 (Changed
11/19) 
11/30 Area II Volume I Trig substitution II (tan and sec) VII.E 
12/1More trig area volume 
12/3
Work More area ("dy") Parametric curves I 
12/4 Parametric curves II :Arc Length VIII.B 
16Summary #6 due 12/8  12/7Average Value Volume II Polar Curves I 
12/8 Polar curves II Parametric curves III tangents Conics I Intro to locianalytic geometry issues.(parabolae, ellipses) Conics II More on Ellipse and Parabola. Conics III The hyperbolae 
12/10 exp(pi*i) = 1 Darts ?? Probability density, mean Surface Area ? The conics IV Hyperbolic functions: DE's, Taylor Series, Algebra and Hyperbolas. 
12/11
L'Hospital's rule? Proof Of L'Hospital's Rule? How Newton used Geometric series to find ln(.9) 
17 Final Examination Self scheduled Review Session: Sunday 2:00 3:50 PM Come to BSS 308. Sample Final Exam Questions will be available on Moodle by Dec 10. 
Mon: 12/14 10:20 SH 128 
Tues: 12/15 15:00 Art 27 
Thurs.: 12/17 10:20 SH 128 
Fri: 12/18 10:20 SH 128 
Reality Quizzes  100 points 
Homework  100 points 
POW's 
50 points 
Summary work  50 points 
2 Midterm Examinations  200 points 
Final Examination  200 or 400 points 
Total  700 or 900 points 
You may use my office hours for
some
additional work on these background areas either as individuals or in
small
groups. My office time is also available to discuss routine
problems
from homework after they have been discussed in class and reality check
quizzes as well as using technology.
Assignment 
DateDue:  Read:  Do: 
#1 
82831 
IVA;
IVB;
IVC 
Background Reality
Check 
SC IV.D

111 odd [parts a and b only] 23,24  
9.2:
pp 572575 
36 

#2 
8/31 91 
SC IV.E  59 odd (a&b) 
9.2: pp 575577  19, 21 

#3 
93 
SC IV.E  20,21,24 
3.8 , 9.1 
9.1:
3 

SC VI.A  9, 10, 15, 16 

#4  9/38 (changed 94) 
SC VI.B 3.1 pp178180; 3.6 pp 215217;219 SC VI.C 
13,14 p262: 20, 29, 33 
#5  9/1014 (Changed 910) 
SC VI.D 3.5:pg 212 
14;913;21,*(22&23) p214: 45, 54 
9/15 Online Mapping Figure Text and Activities  
#6  9/1517 
7.8 pp 508511( omit Ex. 2) 5.5 
7.8: 313 odd, 8 5.5: 111 odd, 8, 16, 20 
#7  9/2122 
9.3 pp580585 9.4 
9.3: 15, 11,19 9.4: 3, 7 *9.3: 21 
#8  9/2425 
7.4 pp 473476 VII.F through Example VII.F.5 (rational functions) 
7.4: 1a,
2, 711, 15, 19, 21 *SC VII.F :5,6,7,17 
#9  9/2528 
SC VII.F  7.4: 3,4, 17,25, 27, 29, 33 *SC VII.F :1,3,10,14,15 
#10 
10/2 5 
7.8: pp511515 
7.8: 2733 odd, 32; 49; *55; 57 
#11 
10/56 
7.1 VII.C. Integration by Parts 
7.1:113 odd,26,28, 33,47,48 *[VII.C. 8,33,35] 
#12  10/68 
7.7:
pp 495497; 500502 Start reading V.D 
7.7: 1 (ac), 31a [*VII.C: 12,16] 
#13 
10/89 
7.7:
500502 More help on Simpson's rule,etc can be found in SC V.D 
7.7: 27, 29,30 
Exam #1 on October 13 14 covers Assigned Material through Assignment 13.  
#14  10/16 
Read SC IXA  SC IXA 1,2, 3, 4, 6, 9, *10 
#15 
10/1622 
Read IX B  SC IX B 1,2,4,5,7 
#16 
10/2326 
IXB IX.C  IX
B (ii)11,13,14,*23 IX.C (i) 14 
#17  10/2729 
IX.C IX.D 
IX.C(ii) 59; (iii) 12,14,1618 
#18  10/2930 
IX.D X.A 
IX. D:1,3,5 X.A: 13,5,79 
#19 
10/3011/2 
11.1
pp675681 IX.D X.B14 
11.1:37;913
odd;1721 IX.D: 8,10,14,15 
#20 
11/35 
X.B14 11.1 pp 682  684 11.2 
11.2: 917 odd;2123,
4143,4749 
#21 
11/910 
X.B14 11.3 pp 679700; 703 11.5: pp 710713 7.2 : pp 460461 
11.3: 36, 1113, 17,18 11.5: 36, 911 (OOPS changed 119) 
#22 
11/1012 
X.B5
Ratio Test For Positive Series 11.4: pp: 705706 11.6: pp: 714715 
11.4:37 11.6 : 7, 13, 27, 2,8 7.2: 19 odd 
#23 
11/1617 
XI.A 11.6 pp 716718 middle, 719 11.8 
11.6:35, 1719, 31 11.8: 38, 15,16 
#24 
11/1719 
7.2: pp462465 
7.2: 2129 odd; 56,51 
#25 
11/30 
7.3 pp 467469 example 2 5.2: p366367 6.1:pp:415417 
7.3: 7, 13,14, 20, 21 5.2: 17, 19 6.1: 1,2 
Examination #2  11/1718  Self Scheduled for 11/17 evening and 11/18. Covers material assigned through # 22 

#26 
12/13 
VII.E *Online tutorials from Hippocampus Use Course view for Calculus II Lesson 48: Trigonometric Substitutions 6.1:pp 415418 7.3 pp 469471 6.2 pp 422425 example 2 
7.3: 3, 9, 19; 1, 5 6.1: 7, 13 6.2:1,3 
#27 
12/47 
6.1 pp418419 (area) 6.2 pp 425430 (volume) 6.4 (work) 10.1 pp 621623 8.1:p525526 10.2 pp 633634 
6.1:3,4,21, 22 6.2: 7,19,23,41 6.4: 3, 5,7 10.1:1,3,57,11,12,19,24,28 10.2: 41, 42,45 *48 
#28 
12/710 
Appendix C pp A16A23 6.5 
App C: 1,3,5, 1123 odd 6.4:13, 17 6.5: 1 4 
#29 
12/810 
10.2 pp630633 10.3 pp639643; 644646 10.4 pp650, 652 
10.2:1,3,5, 11, 17, 31 10.3: 3,5(i), 15,17,56,57 10.4: 1,9 
Below this line all
assignments are not yet firm and due dates are to be determined. 

Math 110 Final
Topic
Check List for Fall, 2009! Core
Topics are italicized.
Differential Equations and Integration Tangent Fields and Integral Curves. Numerical Approximations. Euler's Method. Midpoints. Trapezoidal Rule. Parabolic (Simpson's) Rule. Integration of core functions (from Calc I) Integration by Substutition Integration by Parts. Integration of Trigonometric Functions and Elementary Formulas. Trigonometric Substitutions. Integration of Rational Functions. Simple examples. Simple Partial fractions. Separation of Variables. Improper Integrals: Extending the Concepts of
Integration.

Taylor's Theorem. Sequences and Series: Fundamental Properties.
Power Series: Polynomials and Series.

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