Week 



Friday 

1  820 Introduction & Review  821 More review. Differential equations and IVA IVB IVC Direction Fields IV.D 
823 IVA IVB
IVC Direction Fields IV.D 
824 Direction Fields Continued. IV.D Start Euler's Method. IV.E 
2 POW #1 Due Friday Aug. 31  827 Euler's Method IV.E 
828
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}. 
830
More on the relation between the DE y'=y with
y(0)=1 and e^{x}. 
831 More on the relation between the DE y'=y with y(0)=1 and e^{x}. Proving function properties using DE's. 
3 Summary #1 due Tues. Sept. 4.Friday 97 
93 No Class Labor Day Holiday 
94
Models for learning. y' = k / x; y(1)=0. k =1 VI.B More on ln and exp! SC VI.C Begin Bounded learning. Improper Integrals I 
96
Review Substitution More on improper integrals Bounded learning and Arctan. VI.D 
97 More DE models. Separation of variables. 
4 POW #2: Due 914  910 More Review
Substitution(ii) Growth/Decay
Models. [Symbolic] . 
911 The Logistic Model
(Start) 
913 Integration of rational functions I. VII.F 
914 Rational functions II 
5 Summary #2 due
921 
917 Rational functions III VII.F  918 End
Rational Functions Breath 
920
Improper Integrals II 
921 Integration by parts I VII.C 
6 POW #3: Due 9 28 
924 Improper Integrals and comparison tests III  925 Integration by parts. II VII.C Reduction Formula and integration by parts.  927 Integration by parts Numerical Integration. (linear), V.D 
928
More Comparison Tests for improper integrals. Numerical Integration. (quadratic), V.D 
7 Summary
#3 due 10/2 
101 Application to estimation of integral 
Start Taylor Theory for e^x. Taylor . IXA  Applications: Definite integrals and DE's.  Taylor theory:
Finish IXA..
IXB MacLaurin Polynomials 
8 POW #4: 1012 
108
Review for exam #1 (?) IXB MacLaurin Polynomials (cont'd) 
Taylor
Theory for remainder proven. 
IX.C
More on finding MacLaurin Polynomials & Taylor
theory. 
More
MacLaurin. IX.D Taylor
Theory derivatives, integrals, and ln(x) Use of absolute values. 
9 Exam I Self scheduled: Wed. 1017 
1015 IX.D Taylor
Theory derivatives, integrals, and ln(x) Use of absolute values. 
1016Taylor Theory: End First Round 
10/18 Begin Sequences and series. Geometric sequences. Bounded Monotonic convergence Theorem 
10/19 X.A
More on Geometric Sequences Sequence properties: Unification. 
10 Summary #4 due 1022 
1022 Series Conv. I Geometric and Taylor Series. geometric series X.B1_4 Theorem on R_{n} Taylor polys and Series. 
1023
Series Conv. II Harmonic Series. The divergence test. 
1025
How Newton used Geometric series to find ln(.9) Incr&bdd above implies convergent. 
1026 Series Conv. III
Positive series & Integral test. 
Schedule below this line subject to change.  
111
POW #5 Due: 1029 
1029 Positive comparison test 
Breath?Ratio test for Positive Series X.B5 
Series
Conv. IV Alternating Series Series 
Conv.VI Absolute conv. & conditional: The General ratio test: Intro to power series concepts of convergence and functions. 
12 Summary #5 due  115 Taylor Series convergence. Series to solve DE's  Motivations f''(x) = f(x) with f(0)=0 and f'(0)=1 Begin Power Series I XI.A 
Power Series II (Interval of convergence)XI.A Taylor Series 
Power Series III (DE's) Start Trig Integrals I sin & cos 
Power
Series IV (Functions and DE's) Trig Integrals II sec&tan 
13 Exam II self scheduled Wed. 1114 
1112 No Class Veteran's Day Holiday. 
1113Trig substitution (begin area of circle) I (sin and tan) VII.E  1115Area Revisited VII.E 
1116Trig substitution
II (tan and sec) Area II ("dy") Favorite series. binomial series exp(pi*i) = 1 
14 
1119
Thanksgiving holiday. 

15 POW
#6: Due 1127 
1126
Trig Sub (Secant +...) Parametric curves I Arc Length VIII.B Area "dy" 
1127
Parametric curves II 
1129 Parametric (More) Volume I 
1130 Volume II Work 
16 Summary #6 : Due 124 
12 3
Volume III Polar Curves I Average Value Conics I Intro to locianalytic geometry issues.(parabolae, ellipses) 
124 Darts ?? Polar curves II Conics II More on Ellipse and Parabola. Conics III The hyperbolae Hyperbolic functions: DE's, Taylor Series, Algebra and Hyperbolas. 
126 The
conics IV Probability density, mean Surface Area ? L'Hospital's rule? Proof Of L'Hospital's Rule? 
127 
17 Final Examination Self
scheduled Review Session: Sunday 59 TBA 
1210 10:2012:10 (Forestry Bldg 107) 12:4014:30 (Harry Griffith Hall 226) 
1211
10:2012:10 (Forestry Bldg 107) 
Background Assessment Quiz 
20 points 
Reality Quizzes  100 points 
Homework  100 points 
POW's 
50 points 
Summary work  30 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.
Calculus Dropin Tutoring from HSU Faculty in BSS 302 or BSS 308 (Tentative 8222012)
Time  Monday  Tuesday  Wednesday  Thursday  Friday 

1011 AM 
X 
Freedman
302 
Johnson 302 
x 
x 
11 noon 
x 
Owens 
x 
Owens 
x 
121 PM 
x

x 
x 
x 
Johnson 302 
12 PM 
x 
Haag 308 
X 
Haag 308  Freedman 302 
45:20 PM 
Flashman 308 
Flashman 308 
x 
x 
x 
Assignment 
DateDue:  Read:  Web Assign 
Do:(Not collected) 

#1 
824/27 
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
585589 
36 

#2 
828/30 
SC IV.E  HW #2 Math 110 9.2 II Euler's Method  59 odd (a&b) 
9.2: pp 589591  19, 21 

#3 
95 
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  97 
SC VI.B 3.1 pp179181; 3.6 pp 218220;222 SC VI.C 
HW #4 110 DE's and ln. (3.6)  13,14 p262: 20, 29, 33 
#5  910 
5.5  HW #5 110 Subst'w/ ln& exp (5.5)  5.5: 111 odd 
#6  911 
7.8 pp 519523( omit Ex. 2)  HW #6 110 Improper Integration I (7.8)  7.8: 313 odd, 8 
#7  913 
SC VI.D 3.5:pg 2134 
HW #7 110F12 Arctan and improper integrals (7.8)  14;913;21,*(22&23) p214: 49, 54 
#8  911/13 
9.3 pp594598 
HW #8 110 Separable Diff'l Equations (9.3)  9.3: 15, 11,19,* 21 
#9  914/17 
9.4  HW #9 110 Cooling&Pop'n Models &DE's (9.4,3.8)  9.4: 3, 7 
#10  9/19 
7.4 pp 484487 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  9/24 
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  9/27 
7.8: pp523525 
HW # 12 110 Improper Integrals II ( 7.8 )  7.8: 2733 odd, 32; 49; *55; 57 
#13 
9/28 
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  10/1  HW #14 110 More Improper integrals and Tests (7.8)  
#14.5 
10/2 
7.7:
pp 506509; 511513 Start reading V.D 
HW #14.5 110 Linear Numerical Integration ( 7.7 ) 
7.7: 1 (ac), 31a [*VII.C: 12,16] 
#15 
10/4 
7.7:
51113 More help on Simpson's rule,etc can be found in SC V.D 
HW #15 110 Quadratic Numerical Integration ( 7.7 )  7.7: 27, 29,30 
Exam
#1 self scheduled 1017 covers Assigned Material
through Assignment 

#16 
10/9 
Read SC IXA  HW #16  report on Moodle SC IXA 1,2, 3, 4, 6, 9, *10  SC IXA 1,2, 3, 4, 6, 9, *10 
#17 
10/11 
Read IX B  HW #17  report on Moodle SC IX B 1,2,4,5,7  SC IX B 1,2,4,5,7 
#18 
10/12 
HW #18 IX B
(ii)11,13,14 IX.C (i) 14 

#19  IX C 
HW #19 IX.C (ii) 59; 12,14,1618  
#19.5 
IX.D X.A 
IX. D:1,3,5 X.A: 13,5,79  
#20 
11.1
pp690696 IX.D X.B14 
HW #20 110SP12 Sequences I (11.1)  11.1:37;913
odd;1721 IX.D: 8,10,14,15 

#21 
X.B14 11.1 :pp 696699 11.2 
HW #21 110SP12 Series I (11.2)  11.2: 917 odd;2123, 4143,4749  
#22 
X.B14 
HW #22 110Sp12 MORE Series II ( 11.2 )  11.3: 36, 1113, 17,18 11.5: 36, 911 

#23 
11.3 : pp 714717 
HW #23 110Sp12 MORE Series III (Integral) ( 11.3 )  11.4:37 11.6 : 7, 13, 27, 2,8 

#24 
X.B5
Ratio
Test For Positive Series 11.4: 722724 
HW #24 110SP12 Pos Series Comp&ratio (11.4/11.6)  
#25 
XI.A
11.5: 11.6 pp 732736 middle, 737 
HW #25 110SP12 Series IV (altern gen'l) 11.56  11.6:35, 1719, 31  
#26 
HW #26 110SP12 Series V
(Ratio gen'l) 11.56 

#27 
HW #27 110SP12 Power
series I (11.8) 

#28 
7.2: pp471473  HW #28 110SP12 integrals
with sin and cos (7.2) 

#29 
7.2 pp 473476 
HW #29 110SP12 integrals
with sec and tan (7.2) 

#30 
HW #30 110Sp12 Power
series II (11.8&9) 

Examination #2  Self Scheduled for Wed. Nov. 14 Covers material assigned through # 29 

#31 
6.1:pp 422425  HW #31 110 Area revisited (6.1)  
#32 
6.1 pp425426 (area) 7.3 VII.E 
HW #32 110 F12 trig subs
[sin and tan] (7.3) 

#33 
HW #33 110F12 Areas dy, sec trig & subs 6.1,7.3  
#34 
HW #34 110F12 Paramet . Length
(8.1;10.1,10.2) 

#35 

Not
yet ASSIGNED. 

#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 

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 
