Week 



Friday 
1  8/25 Introduction & Review (Thinkwell) 
8/26 More review. Differential equations and Direction Fields IVA IVB IVC 6.3; 6.5;11.1; 11.2 IV.D 
8/ Euler's Method 11.3; IV.E 
8/ More Euler's Method Discussed 
2 POW #1 Due 9/5 
9/ 1
No Class. Labor Day. 
9/2 estimate e from (1+1/n)^{n}.
Begin Models for (Population) Growth and Decay: y' = k y; y(0)=1. k = 1. The exponential function.VI.A 
9/4
More on the relation between the DE y'=y with y(0)=1 and
e^{x}.
Models for learning. y' = k / x; y(1)=0. k =1 VI.B 
9/5 y = ln (x) and ln(2)
lnx and integration of 1/x. logarithmic differentiation.?? 
3 Summary #1 due 9/12 
9/8 Review Substitution 7.1 (i) More on ln. Bounded learning and Arctan. VI.D 
9/9 More Review Substitution 7.1 (ii)Improper Integrals I 7.7 (i) 
9/11 More on improper integrals 7.7(ii) 
9/12 Separation of variables. 11.4, 11.5 
4 POW #2 Due 9/19 
9/15/Growth/Decay/Cooling Models. [Symbolic] The Logistic Model 
9/16 More logistic? All roads lead to Integration of rational functions 7.4 (i) I.VII.F 
9/18 More DE models. Rational functions II.  9/19 More Rational functions? VII.F 
5 Summary #2 due 9/26 
9/22 One more Meany!?
Rational functions III VII.F 
9/23 End Rational Functions  9/25 Improper Integrals II 7.7;  9/ 26 Begin (review) Numerical Integration.(Constant and Linear) 7.5 Improper Integrals and comparison tests III comparison tests 7.8? 
6 
9/29 Integration by parts I and VII.C . 
10/1 Integration by parts. II  10/3 Numerical Integration. (linear and quadratic)7.6, V.D  10/4 Numerical Integration. (quadratic)7.6, V.D 
7 POW #3: Due 10/6 Exam I Self scheduled: 10/7 evening 10/8 day Summary #3 due 10/10 
10/6 Last look at Numerical Integration Begin Taylor Theory I.IXA 
10/7 Review fro exam #1  10/9 Taylor theory II IXA..
IXB Applications: Definite integrals and DE's. 
10/10Taylor theory III. IXB
MacLaurin Polynomials 
8 POW #3: Due 10/20  10/13 IXB
MacLaurin Polynomials 
10/14 IXB
MacLaurin Polynomials 
10/16 IX.C Taylor Theory derivatives, integrals, and ln(x). 
10/17Taylor Theory for remainder proven? More on finding MacClaurin Polynomials & Taylor theory.IX.D . 
9Summary #4 due 10/24 
10/20 Taylor theory.IX.D 
10/21
Begin Sequences and series. X.A Sequence properties 
10/ 23
Use of absolute values
geometric series
Geometric sequences. 
10/24
Unification. Geometric and Taylor Series. X.B1_4 9.2, 9.3 The divergence test. Harmonic Series. 
10POW #4: Due 11/3  10/27Series Conv. I
Incr&bdd above implies convergent. 
10/
12.3 Positive series & Integral test. Series Conv. II 
10/ Series Conv. III Alternating Series  11/Taylor Series convergence. Theorem on R_{n}Series Conv. IV 
11 Summary #5 due 11/7  11/3
Series Conv. V Taylor polys and Series. 
11/4
Series to solve DE's  Motivations f''(x) = f(x) with f(0)=0 and f'(0)=1 Positive comparison test Ratio test for Positive Series X.B5 Trig Integrals I sin&cos 
11/6Trig IntegralsII sec&tan Series Conv.VI Absolute conv. & conditional: The General ratio test: Power Series I XI.A 
11/7Power Series II (Interval of convergence)XI.A How Newton used Geometric series to find ln(.9) Taylor Series 
12 Exam II self scheduled Wed. 11/12 
11/10Power Series III (DE's) 
11/11 NO CLASS! Veteran's Day 
11/13
Power Series IV Functions and DE's) Area Revisited 
11/14 Trig substitution (begin area of circle) I (sin) VII.E 
13 POW #5: Due 11/21  11/17 Trig sub I cont'd. (sin) VII.E 
11/ 18 Trig substitution II (tan and sec) VII.E Area II 
11/20More area Volume I 
11/21 Favorite estimates. Volume II 
14 No Classes
Thanksgiving 
11/24  11/  11/ Thanksgiving  11/ 
15 Summary #6 due ??  12/1 Work
Arc Length VIII.B 
12/ Work? Darts Probability density, mean 
12/
Surface Area
? Conics I Intro to locianalytic geometry issues.(parabolae, ellipses) L'Hospital's rule I ? L'Hospital II. L'Hospital III 
12/ Conics II More on Ellipse and Parabola. Darts Probability density, mean 
16 
12/
8 Conics III The hyperbolae Other Inverse Functions (Arcsin) 
12/ The conics IV
exp(pi*i) = 1 
12/ Hyperbolic functions: DE's, Taylor Series, Algebra and Hyperbolas. 
12/ Proof Of L'Hospital's Rule? 
17 Final Examination Self scheduled  12/15  12/  12/  12/ 
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.
NEW! The grader for the course will be
available to give assistance to individuals of groups Monday,
10:0010:50 and Wednesday, 11:0011:50 in BSS 308.
Assignment 
DateDue:  Read:  Do: 
#1 
829 
IVA; IVB; IVC 6.3; 6.5;11.1 
Background Reality
Check 11.1: 1, 3, 8, 10, 13,15,16 
SC IV.D 
111 odd [parts a and b only] 23,24  
11.2  4, 8,9  
#2 
8/29 9/2 
SC IV.E  59 odd (a&b) 
11.3 
3,4,8,9 

#3 
94 
SC IV.E  20,21,24 
11.3 
1,6  
SC VI.A  9, 10, 15, 16 

#4 
95/8/9? 
SC VI.B  13,14 
7.1(i) (review: pp 312316) 
36; 13,17; 29;50; 75  
SC VI.C  
#5 
99/11  SC VI.D  14;913;21,*(22&23) 
7.1(ii)  5456; 62; 78; 84  
#6 
911/12 
7.7 pp348351 
2, 58, 11 
#7 
915 
11.4  17odd;15,21,36,37,41,*(4547) 
#8 
916/18 
11.5; 11.7 
11.5:3,7,9,19,21,23 11.7:6,9 
Begin reading VII.F through Example VII.F.5 (rational functions)  
#9 
919/22  SC VII.F 7.4: pp331333  SC VII.F :5,6,7,17 7.4:13;810; 15, 3335 
#10 
923/25  SC VII.F
check work online with Mathematica 7.4: pp331333  SC VII.F :1,3,10,14,15 7.4: 24,27, 3941; 44 
#11 
926 
7.7: pp352354 
7.7: 25 ,31 
#12 
929/30 
7.8 (Improper Integrals); 5.2 pp248,249,252 (estimating Integrals); 7.5 (More Integral estimates) Start reading V.D More help on Simpson's rule,etc can be found in SC V.D 
7.8: 14, 16,17 5.2: 1,7,8 7.5:1, 8, 9 ,23 
#13 
930/102 
7.2(i) Read SC VII.C 
7.2: 4, 5, 10, 11, 18, 22 VII.C: 2,3,8 
#14 
102/3 
7.2(ii) 
7.2: 33, 35, 43, 51, 54 VII.C: 12,16 
DueDate  Read:  Do:  
#15 
1013/14 
Read SC IXA 
SC IXA 1,2, 3, 4, 6, 9, *10 
#16 
1016/17 
10.1 pp 478482 Read IX B 
SC IX
B 1,2,4,5,7 10.1: 17 ODD, 17, 18, 22, 24 
#17 
1020/21 
IXB IX.C 10.1 pp 478484 
IX
B (ii)11,13,14,*23 10.1: 13, 15, 16, 23, 33d IX.C (i) 14 
#18 
1021 
IX.C IX.D X.A 
IX.C(ii) 59; (iii) 12,14,1618 
#19  1023/24  IX.D X.A 9.1 pp 438440 
IX. D:1,3,5 X.A: 13,5,79 9.1: 15, 79,13, 14, 17, 18,41 
#20 
1024/27 
IX.D X.B1_4 
IX.D: 8,10,14,15 9.2::17 odd; 11, 15, 1821, 
#21 
113/4 
9.3, 9.4 p 460. X.B1_4 
9.3: 14, 1315, 17,18 9.4:: 46,47 
#22  11 6/7  9.4: pp455456 10.2: 485486 10.4 X.B5 Ratio Test For Positive Series 
9.4: 46, 8 10.2: 14, 3133 
#23 
1114/17 
9.5 
9.5: 5,7,9;1114; 2527, 34a. 
#24 
1118/20 
7.4 pp. 334337 
7.4: 20, 22, 43, 53, 59 
#25 
1120/21 
VII.E 8.1 *Online tutorials from Hippocampus Use Course view for Calculus II Lesson 48: Trigonometric Substitutions 
7.4: 23, 54, 55 8.1: 1,3,5 
#26 
1121/121 
8.1, 8.2 pp375379 
8.1:10, 11, 13 8.2: 1,3,5,10 
#27 
124/5 
8.2 : pp 278, 379 8.5: pp 399402 Darts 
8.2:11, 41 8.5: 13,7 
VII.E  
XI.A 

Math 110 Final Topic
Check List December 11, 2008 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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