Week 



Friday 

1  No Class MLK Day 
119 Introduction & Review
(Thinkwell) 
120 More review. Differential equations and IVA IVB IVC Direction Fields IV.D 
121 IVA IVB IVC Direction Fields IV.D 
2 
124Direction Fields Continued. IV.D 
126 Euler's Method IV.E 
127 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 
128More on the relation between the DE y'=y with
y(0)=1 and
e^{x}. 
3 POW #1 Due Thurday Feb 3. Summary #1 due Wed. Feb 2. 
131 Models for learning. y' = k / x; y(1)=0. k =1 VI.B 
22 y = ln (x) and ln(2) lnx and integration of 1/x. More on ln and exp! SC VI.C Review Substitution 
23 Begin Bounded learning. Improper Integrals I 
24 More on improper integrals Bounded learning and Arctan. VI.D 
4 POW #2: Due Thursday Feb 10 
27More Review Substitution(ii)  29 More DE models. Separation of variables.Growth/Decay Models. [Symbolic] .  210 The Logistic Model  211 More logistic. 
5 Summary #2 due Thursday Feb 17 
214 Integration of rational functions I. VII.F 
216 Rational functions II  217 Rational functions III VII.F 
218 End Rational Functions Begin Improper Integrals II Integration by parts I? 
6 POW #3: Due Thursday Feb 24 
. 221Improper Integrals and comparison tests III  223Integration by parts. II VII.C  224 Numerical Integration. (linear), V.D 
225comparison
tests? Integration by parts (finale?) Numerical Integration. (quadratic), V.D 
7 Summary #3 due Thursday March 3 
228 Comparison Tests for improper integrals. Reduction Fornula and integration by parts. 
32Start Taylor Theory for e^x. Application to estimation of integral. 
33
Taylor
Theory
I.
IXA Applications: Definite integrals and DE's. 
34Taylor theory: Finish IXA.. IXB MacLaurin Polynomials 
8
Exam I Self
scheduled: Wed. Mar. 9 
37 Review for exam #1 (?) IXB MacLaurin Polynomials (cont'd) 
39 Taylor Theory for remainder proven. 
310
IX.C
More on finding MacLaurin Polynomials & Taylor theory. 
311More MacLaurin.
IX.D Taylor
Theory
derivatives,
integrals,
and
ln(x) Use of absolute values. 
9  NO Classes : Spring Break! 

10 POW #4: Due 324 Summary #4 due 325 
321
IX.D Taylor
Theory
derivatives,
integrals,
and
ln(x) Use of absolute values. 
323Taylor Theory: End First Round How Newton used Geometric series to find ln(.9) Geometric sequences. 
324 Begin Sequences and series. 
325 Sequence properties: Unification. 
11  328 X.A 
330 Series Conv. I Geometric and Taylor Series. geometric series X.B1_4 Theorem on R_{n} Taylor polys and Series. 
331 NO Class
CC Day 
41 Series Conv. II Harmonic Series. The divergence test. Incr&bdd above implies convergent. Positive series & Integral test. 
12 POW #5: Due 47  44Series
Conv. III Positive comparison test Ratio test for Positive Series X.B5 
46 Series Conv. IV Alternating
Series Absolute Convergence. 
47 Series
Conv.VI Absolute conv. & conditional: The
General
ratio test: 
48 Intro to
power series concepts of convergence and functions. Taylor Series convergence. Series to solve DE's  Motivations f''(x) = f(x) with f(0)=0 and f'(0)=1 
13 Summary #5 due 415  411 Power
Series I XI.A
Start Trig Integrals I sin & cos 
413 Power
Series
II
(Interval
of
convergence)XI.A Taylor Series 
414 Power Series III (DE's) Trig Integrals II sec&tan 
415 Power Series IV (Functions and DE's) 
14 Exam
II self scheduled Wed. 420 
418 Trig
substitution (begin area of circle) I (sin) VII.E 
Area Revisited Favorite estimates. exp(pi*i) = 1 
Area II Volume I Trig substitution II (tan and sec) VII.E 
More trig area More area ("dy") 
15 
425 volume I Work Parametric curves I 
Parametric curves II :Arc Length VIII.B 
Average Value Volume II Polar Curves I 
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 
16 POW #6: Due
Monday 52 Summary #6 :Thurs 55 
5 2 Surface
Area
? The conics IV Hyperbolic functions: DE's, Taylor Series, Algebra and Hyperbolas. 
Darts
?? Probability density, mean 
L'Hospital's
rule? Proof Of L'Hospital's Rule? 

17 Final Examination Self scheduled Review Session: Sunday 58 12:002:15 BSS 302 
Sign up for self schedule See
Moodle for time Wed., Thurs., Fri. 
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:  Web Assign 
Do:(Not collected) 

#1 
1/2125 
SC IVA;
SC
IVB;
SC IVC 
HW #1 Math 110 9.2 I Direction Fields  Background Reality
Check 
SC
IV.D 
111 odd [parts a and b only] 23,24  
9.2:
pp 572575 
36 

#2 
1/2628 
SC IV.E  HW #2 Math 110 9.2 II Euler's Method  59 odd (a&b) 
9.2: pp 575577  19, 21 

#3 
1/2731 
SC IV.E  HW #3 DE's and exp. 
20,21,24 
3.8 , 9.1 
9.1:
3 

SC VI.A  9, 10, 15, 16 

#4  1/282/3 
SC VI.B 3.1 pp178180; 3.6 pp 215217;219 SC VI.C 
HW #4 110 DE's and ln. (3.6)  13,14 p262: 20, 29, 33 
#5  2/34 
5.5  HW #5 110 Subst'w/ ln& exp (5.5)  5.5: 111 odd 
#6  2/37 
7.8 pp 508511( omit Ex. 2)  HW #6 110 Improper Integration I (7.8)  7.8: 313 odd, 8 
#7  2/411 
SC VI.D 3.5:pg 212 
HW #7 110 Arctan and more improper integrals (7.8)  14;913;21,*(22&23) p214: 45, 54 Online Mapping Figure Text and Activities 
#8  2/911 
9.3 pp580585 
HW #8 110 Separable Diff'l Equations (9.3)  9.3: 15, 11,19,* 21 
#9  2/914 
9.4  HW #9 110 Cooling&Pop'n Models &DE's (9.4,3.8)  9.4: 3, 7 
#10  2/21 
7.4 pp 473476 VII.F through Example VII.F.5 (rational functions) 
HW #10 110 Partial Fractions I Quadratics (7.4)  7.4: 1a,
2, 711, 15, 19, 21 *SC VII.F :5,6,7,17 
#11  2/22 
SC VII.F  HW #11 110 Partial Fractions II cubics+  7.4:
3,4,
17,25,
27,
29,
33 *SC VII.F :1,3,10,14,15 
#12  2/23 
7.8: pp511515 
HW # 12 110 Improper Integrals II ( 7.8 )  7.8: 2733 odd, 32; 49; *55; 57 
#13 
2/24 
7.1 VII.C. Integration by Parts 
HW #13 110 Integration by Parts ( 7.1 )  7.1:113
odd,26,28,
33,47,48 *[VII.C. 8,33,35] 
#14 
2/28 
HW #14 110 MORE Integration by Parts ( 7.1 )  
#15 
2/28 
7.7:
pp
495497;
500502 Start reading V.D 
HW #15 110 Linear Numerical Integration ( 7.7 )  7.7:
1
(ac),
31a [*VII.C: 12,16] 
#16 
3/2 
7.7:
500502 More help on Simpson's rule,etc can be found in SC V.D 
HW #16 110 Quadratic Numerical Integration ( 7.7 )  7.7: 27, 29,30 
#17 
3/3 
HW #17 110 More Improper integrals and Tests (7.8)  
#18 
3/33/4 
Read SC IXA  HW #18  report on Moodle SC IXA 1,2, 3, 4, 6, 9, *10  SC IXA 1,2, 3, 4, 6, 9, *10 
#19 
3/43/10 
Read IX B  HW #19  report on Moodle SC IX B 1,2,4,5,7  SC IX B 1,2,4,5,7 
Exam #1 self scheduled on 392011 covers Assigned Material through Assignment #18.  
#20 
322 
IXB IX.C  HW #20  report on Moodle IX B (ii)11,13,14 IX.C (i) 14  IX
B (ii)11,13,14,*23 IX.C (i) 14 
#21 
323 
IX.C IX.D 
HW #21  report on Moodle IX.C(ii) 59; (iii) 12,14,1618  IX.C(ii) 59; (iii) 12,14,1618 
#22 
324 
IX.D X.A 
HW #22  report on Moodle IX. D:1,3,5 X.A: 13,5,79  IX. D:1,3,5 X.A: 13,5,79 
#23 
325 
11.1
pp675681 IX.D X.B14 
HW #23 110 Sequences I (11.1)  11.1:37;913
odd;1721 IX.D: 8,10,14,15 
#24 #25 
329 330 
X.B14 11.1 pp 682  684 11.2 
HW #24 110 MORE
Sequences ( 11.1 ) HW #25 110 Series I (11.2) 
11.2: 917 odd;2123,
4143,4749 
#26  44 
X.B14 11.3 pp 679700; 703 11.5: pp 710713 7.2 : pp 460461 
HW #26 110 MORE Series II ( 11.2 )  11.3: 36, 1113, 17,18 11.5: 36, 911 (OOPS changed 119) 
#27 
45 
X.B5
Ratio Test For Positive Series 11.4: pp: 705706 11.6: pp: 714715 
HW #27 110 MORE Series III (Pos<Integral) ( 11.3 )  11.4:37 11.6 : 7, 13, 27, 2,8 7.2: 19 odd 
#28 #29 
411 
XI.A 11.6 pp 716718 middle, 719 
HW #28 110 Positive
Series Comp&ratio (11.4/11.6) HW #29 110 Series IV (Ratio/altern gen'l) 11.56 
11.6:35, 1719, 31 
#30 
413 
11.8  HW #30 110 Power series I (11.8)  11.8: 38, 15,16 
#31 
414 
7.3 pp 467469 example 2 5.2: p366367 6.1:pp:415417 
HW #31 110 Power series II (11.8)  7.3: 7, 13,14, 20, 21 5.2: 17, 19 6.1: 1,2 
#32 
415 
7.2: pp462465  HW #32 110 integrals with sin and cos (7.2)  7.2: 2129 odd; 56,51 
#33 
418 
7.2 
HW #33 110 integrals with sec and tan (7.2)  
Examination #2  420 
Self Scheduled for 420 Covers material assigned through # 33 

#34 
VII.E Trigonometric Substitutions 7.3 pp 469471 
HW #34 110 trig subs [sin and tan] (7.3)  7.3: 3, 9, 19; 1, 5 6.1: 7, 13 6.2:1,3 

#35 
6.1:pp 415418 
HW #35 110 Area
revisited (6.1) 
6.1:3,4,21, 22 

#36 
6.1 pp418419 (area)  HW #36 110 Areas "dy", sec and trig subs (6.1,)  
#37 
6.2 pp 422425 example 2 6.2 pp 425430 (volume) 6.4 (work) 
HW #37 110 Volume I ;Work I (6.2,6.4)  6.2: 7,19,23,41 6.4: 3, 5,7 

Below this line all assignments are not yet firm and due dates are to be determined.  
Appendix C pp A16A23 6.5 
App C: 1,3,5, 1123 odd 6.4:13, 17 6.5: 1 4 

10.1 pp 621623 8.1:p525526 10.2 pp 633634 10.2 pp630633 10.3 pp639643; 644646 10.4 pp650, 652 
10.1:1,3,57,11,12,19,24,28 10.2: 41, 42,45 *48 10.2:1,3,5, 11, 17, 31 10.3: 3,5(i), 15,17,56,57 10.4: 1,9 

Math 110 Reference
Topic
List for final Spring, 2011! 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. Parametric Equations Arc length, tangents. 
Taylor's Theorem. Sequences and Series: Fundamental Properties. Power Series: Polynomials and Series. 
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