Week 



Friday 

1  No Class MLK Day 
117 Introduction & Review 
119 More review. Differential equations and IVA IVB IVC Direction Fields IV.D 
120 IVA IVB IVC Direction Fields IV.D 
2 
123Direction Fields Continued. IV.D 
124
Euler's Method IV.E 
126
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 
127
More on the relation between the DE y'=y with
y(0)=1 and e^{x}. 
3 POW #1 Due Thursday Feb 2 Summary #1 due Wed. Feb 1. 
130 Models for learning. y' = k / x; y(1)=0. k =1 VI.B y = ln (x) and ln(2) lnx and integration of 1/x. More on ln and exp! SC VI.C Review Substitution 
131 Begin Bounded learning. Improper Integrals I 
22 More on improper integrals Bounded learning and Arctan. VI.D 
23More DE models. Separation of variables. 
4 POW #2: Due Thursday Feb 9 
26 More Review Substitution(ii) Growth/Decay Models. [Symbolic] . The Logistic Model  27 More logistic.  29 Integration of rational functions I. VII.F  210 Rational functions II 
5 Summary #2 due Thursday Feb 16 
213 Rational functions III VII.F 
214End
Rational Functions Breath 
216
Improper Integrals II 
217 Integration by parts I VII.C 
6 POW #3: Due Thursday Feb 23 
220 Improper Integrals and comparison tests III  222 Integration by parts. II VII.C Reduction Formula and integration by parts.  223 More Comparison Tests for
improper integrals. Numerical Integration. (linear), V.D 
224
comparison tests? Numerical Integration. (quadratic), V.D 
7 Summary #3 due Thursday March 1 
227 Integration
by parts (finale?) Application to estimation of integral 
228 Start Taylor Theory for e^x. Taylor . IXA  3 Applications: Definite integrals and DE's. 
32
Taylor theory: Finish IXA.. IXB MacLaurin Polynomials 
8
Exam I Self scheduled: Wed. Mar.7 POW #4: Due 38 
35
Review for exam #1 (?) IXB MacLaurin Polynomials (cont'd) 
36
Taylor Theory for remainder proven. 
38
IX.C More on finding MacLaurin
Polynomials & Taylor theory. 
39 More
MacLaurin. IX.D Taylor
Theory derivatives, integrals, and ln(x) Use of absolute values. How Newton used Geometric series to find ln(.9) 
9  NO Classes : Spring Break! 

10 Summary #4 due 322 
319 IX.D Taylor
Theory derivatives, integrals, and ln(x) Use of absolute values. 
320Taylor Theory: End First Round 
322 Begin Sequences and series. Geometric sequences. 
323 X.A
Sequence properties: Unification. Bounded Monotonic convergence Theorem 
11 POW #5: Due: 3292012  326 Series Conv. I Geometric and Taylor Series. geometric series X.B1_4 Theorem on R_{n} Taylor polys and Series. 
327
Series Conv. II Harmonic Series. The divergence test. 
329
Incr&bdd above implies convergent. 
330 NO Class CC Day 
12  42
Series Conv. III Positive series & Integral test. 
43 Positive comparison test 
45Ratio
test for Positive Series X.B5 
46Series
Conv. IV Alternating Series Series 
13 Summary #5 due 412  49
Conv.VI Absolute conv. & conditional: The
General ratio test: 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 Begin Power Series I XI.A 
410 Power Series II (Interval of convergence)XI.A Taylor Series 
412 Power Series III (DE's) Start Trig Integrals I sin & cos 
413
Power Series IV (Functions and DE's) Trig Integrals II sec&tan 
14 Exam II self scheduled Wed. 418 
416
Trig substitution (begin area of circle) I (sin) VII.E 
4 17
Area Revisited Favorite estimates. exp(pi*i) = 1 
419
Area II Volume I Trig substitution II (tan and sec) VII.E 
420 More trig area More area ("dy") 
15 POW
#6: Due Thursday
426 
423
volume I Work Parametric curves I 
424
Parametric curves II :Arc Length VIII.B 
426 Average Value Volume II Polar Curves I 
427
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 Summary #6 :Thurs 55 
430
Surface Area ? The conics IV Hyperbolic functions: DE's, Taylor Series, Algebra and Hyperbolas. 
51 Darts ?? Probability density, mean 
53
L'Hospital's rule? Proof Of L'Hospital's Rule? 
54 
17 Final Examination Self
scheduled Review Session: Sunday 56 TBA 
58
FOR 107: 15001700 
510
ARTA_027 08001000 
511 FH 177: 10201220 FOR 107: 15001700 
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 is available in BSS 308
Time 
Monday 
Tuesday 
Wednesday 
Thursday 
Friday 
23 PM 
X 
X 
X 
Johnson 

34 PM 
Freedman Haag 
Freedman 
Haag 
Johnson 
Lauck 
45 PM 
Goetz 
Goetz 
Flashman 
x 
x 
56 PM 
Lauck 
Flashman 
Flashman  x 
x 
Assignment 
DateDue:  Read:  Web Assign 
Do:(Not collected) 

#1 
1/2023 
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 
1/2324 
SC IV.E  HW #2 Math 110 9.2 II Euler's Method  59 odd (a&b) 
9.2: pp 589591  19, 21 

#3 
1/2730 
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  1/31 
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  2/2 
5.5  HW #5 110 Subst'w/ ln& exp (5.5)  5.5: 111 odd 
#6  2/3 
7.8 pp 519523( omit Ex. 2)  HW #6 110 Improper Integration I (7.8)  7.8: 313 odd, 8 
#7  2/6 
SC VI.D 3.5:pg 2134 
HW #7 110 Arctan and more improper integrals (7.8)  14;913;21,*(22&23) p214: 49, 54 
#8  2/7 
9.3 pp594598 
HW #8 110 Separable Diff'l Equations (9.3)  9.3: 15, 11,19,* 21 
#9  2/13 
9.4  HW #9 110 Cooling&Pop'n Models &DE's (9.4,3.8)  9.4: 3, 7 
#10  2/14 
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  2/20 
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  2/2021 
7.8: pp523525 
HW # 12 110 Improper Integrals II ( 7.8 )  7.8: 2733 odd, 32; 49; *55; 57 
#13 
2/2021 
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 
2/27 
7.7:
pp 506509; 511513 Start reading V.D 
HW #14 110 Linear Numerical Integration ( 7.7 )  7.7: 1 (ac), 31a [*VII.C: 12,16] 
#15 
2/29 
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 Wed. 37 covers Assigned Material through Assignment 14.  
#16 
3/8 
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 
3/9 
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 
3/?? 
HW #18 IX B (ii)11,13,14 IX.C (i) 14  
#19  3/?? 
IX C 
HW #19 IX.C 59; 12,14,1618  
#19.5 
3/?? 
IX.D X.A 
IX. D:1,3,5 X.A: 13,5,79  
#20 
3/25? 
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 
3/29 
X.B14 11.1 :pp 696699 11.2 
HW #21 110SP12 Series I (11.2)  11.2: 917 odd;2123, 4143,4749 
#22 
4/3 
X.B14 
HW #22 110Sp12 MORE Series II ( 11.2 )  11.3: 36, 1113, 17,18 11.5: 36, 911 
#23 
4/5 
11.3 : pp 714717 
HW #23 110Sp12 MORE Series III (Integral) ( 11.3 )  11.4:37 11.6 : 7, 13, 27, 2,8 
#24 
4/6 
X.B5
Ratio
Test For Positive Series 11.4: 722724 
HW #24 110SP12 Pos Series Comp&ratio (11.4/11.6)  
#25 
4/9 
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 
4/10 
HW #26 110SP12 Series V
(Ratio gen'l) 11.56 

#27 
4/12 
HW #27 110SP12 Power
series I (11.8) 

#28 
4/13 
7.2: pp471473  HW #28 110SP12 integrals
with sin and cos (7.2) 

#29 
4/16 
7.2 pp 473476 
HW #29 110SP12 integrals
with sec and tan (7.2) 

#30 
4/16 
HW #30 110Sp12 Power
series II (11.8&9) 

Examination #2  Self Scheduled for Wed. April 18 Covers material assigned through #30 

Below this line all assignments are not yet firm and due dates are to be determined.  
HW #22  report on Moodle  IX.
D:1,3,5 X.A: 13,5,79 

7.2 :  
7.2: 19 odd  
#28 #29 
HW #28 110 Positive
Series Comp&ratio (11.4/11.6) HW #29 110 Series IV (Ratio/altern gen'l) 11.56 

#30 
11.8  HW #30 110 Power series I (11.8)  11.8: 38, 15,16  
#31 
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 
7.2: pp462465  HW #32 110 integrals with sin and cos (7.2)  7.2: 2129 odd; 56,51  
#33 
7.2 
HW #33 110 integrals with sec and tan (7.2)  
#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 

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 

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