Week |
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|
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Friday |
---|---|---|---|---|
1 | 8-20 Introduction & Review | 8-21 More review. Differential equations and IVA IVB IVC Direction Fields IV.D |
8-23 IVA IVB
IVC Direction Fields IV.D |
8-24 Direction Fields Continued. IV.D Start Euler's Method. IV.E |
2 POW #1 Due Friday Aug. 31 | 8-27 Euler's Method IV.E |
8-28
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. |
8-30
More on the relation between the DE y'=y with
y(0)=1 and ex. |
8-31 More on the relation between the DE y'=y with y(0)=1 and ex. Proving function properties using DE's. |
3 Summary #1 due Tues. Sept. 4.-Friday 9-7 |
9-3 No Class Labor Day Holiday |
9-4
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 |
9-6
Review Substitution More on improper integrals Bounded learning and Arctan. VI.D |
9-7 More DE models. Separation of variables. |
4 POW #2: Due 9-14 | 9-10 More Review
Substitution(ii) Growth/Decay
Models. [Symbolic] . |
9-11 The Logistic Model
(Start) |
9-13 Integration of rational functions I. VII.F |
9-14 Rational functions II |
5 Summary #2 due
9-21 |
9-17 Rational functions III VII.F | 9-18 End
Rational Functions Breath |
9-20
Improper Integrals II |
9-21 Integration by parts I VII.C |
6 POW #3: Due 9- 28 |
9-24 Improper Integrals and comparison tests III | 9-25 Integration by parts. II VII.C Reduction Formula and integration by parts. | 9-27 Integration by parts Numerical Integration. (linear), V.D |
9-28
More Comparison Tests for improper integrals. Numerical Integration. (quadratic), V.D |
7 Summary
#3 due 10/2 |
10-1 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: 10-12 |
10-8
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. 10-17 |
10-15 IX.D Taylor
Theory derivatives, integrals, and ln(x) Use of absolute values. |
10-16Taylor 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 10-22 |
10-22 Series Conv. I Geometric and Taylor Series. geometric series X.B1_4 Theorem on Rn Taylor polys and Series. |
10-23
Series Conv. II Harmonic Series. The divergence test. |
10-25
How Newton used Geometric series to find ln(.9) Incr&bdd above implies convergent. |
10-26 Series Conv. III
Positive series & Integral test. |
Schedule below this line subject to change. | ||||
111
POW #5 Due: 10-29 |
10-29 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 | 11-5 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. 11-14 |
11-12 No Class Veteran's Day Holiday. |
11-13Trig substitution (begin- area of circle) I (sin and tan) VII.E | 11-15Area Revisited VII.E |
11-16Trig substitution
II (tan and sec) Area II ("dy") Favorite series. binomial series exp(pi*i) = -1 |
14 |
11-19
Thanksgiving holiday. |
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15 POW
#6: Due 11-27 |
11-26
Trig Sub (Secant +...) Parametric curves I Arc Length VIII.B Area "dy" |
11-27
Parametric curves II |
11-29 Parametric (More) Volume I |
11-30 Volume II Work |
16 Summary #6 : Due 12-4 |
12- 3
Volume III Polar Curves I Average Value Conics I Intro to loci-analytic geometry issues.(parabolae, ellipses) |
12-4 Darts ?? Polar curves II Conics II More on Ellipse and Parabola. Conics III The hyperbolae Hyperbolic functions: DE's, Taylor Series, Algebra and Hyperbolas. |
12-6 The
conics IV Probability density, mean Surface Area --? L'Hospital's rule? Proof Of L'Hospital's Rule? |
12-7 |
17 Final Examination Self
scheduled Review Session: Sunday 5-9 TBA |
12-10 10:20-12:10 (Forestry Bldg 107) 12:40-14:30 (Harry Griffith Hall 226) |
12-11
10:20-12:10 (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 Drop-in Tutoring from HSU Faculty in BSS 302 or BSS 308 (Tentative 8-22-2012)
-----Time------ | ---Monday---- | -----Tuesday--- | --Wednesday-- | ---Thursday--- | ----Friday---- |
---|---|---|---|---|---|
10-11 AM |
X |
Freedman
302 |
Johnson 302 |
x |
x |
11- noon |
x |
Owens |
x |
Owens |
x |
12-1 PM |
x
|
x |
x |
x |
Johnson 302 |
1-2 PM |
x |
Haag 308 |
X |
Haag 308 | Freedman 302 |
4-5:20 PM |
Flashman 308 |
Flashman 308 |
x |
x |
x |
Assignment |
DateDue: | Read: | Web Assign |
Do:(Not collected) |
---|---|---|---|---|
#1 |
8-24/27 |
SC
IVA; SC IVB;
SC
IVC |
HW #1 Math 110 9.2 I Direction Fields | Background Reality
Check |
SC
IV.D |
1-11 odd [parts a and b only] 23,24 | |||
9.2:
pp
585-589 |
3-6 |
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#2 |
8-28/30 |
SC IV.E | HW #2 Math 110 9.2 II Euler's Method | 5-9 odd (a&b) |
9.2: pp 589-591 | 19, 21 |
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#3 |
9-5 |
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 |
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#4 | 9-7 |
SC VI.B 3.1 pp179-181; 3.6 pp 218-220;222 SC VI.C |
HW #4 110 DE's and ln. (3.6) | 13,14 p262: 20, 29, 33 |
#5 | 9-10 |
5.5 | HW #5 110 Subst'w/ ln& exp (5.5) | 5.5: 1-11 odd |
#6 | 9-11 |
7.8 pp 519-523( omit Ex. 2) | HW #6 110 Improper Integration I (7.8) | 7.8: 3-13 odd, 8 |
#7 | 9-13 |
SC VI.D 3.5:pg 213-4 |
HW #7 110F12 Arctan and improper integrals (7.8) | 1-4;9-13;21,*(22&23) p214: 49, 54 |
#8 | 9-11/13 |
9.3 pp594-598 |
HW #8 110 Separable Diff'l Equations (9.3) | 9.3: 1-5, 11,19,* 21 |
#9 | 9-14/17 |
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 484-487 VII.F through Example VII.F.5 (rational functions) |
HW #10 110 Partial Fractions I Quadratics (7.4) | 7.4:
1a, 2, 7-11, 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: pp523-525 |
HW # 12 110 Improper Integrals II ( 7.8 ) | 7.8: 27-33 odd, 32; 49; *55; 57 |
#13 |
9/28 |
7.1 VII.C.
Integration by Parts |
HW #13 110 Integration by Parts ( 7.1 ) | 7.1:1-13 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 506-509; 511-513 Start reading V.D |
HW #14.5 110 Linear Numerical Integration ( 7.7 ) |
7.7: 1 (a-c), 31a [*VII.C: 12,16] |
#15 |
10/4 |
7.7:
511-13 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 10-17 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) 1-4 |
||
#19 | IX C |
HW #19 IX.C (ii) 5-9; 12,14,16-18 | ||
#19.5 |
IX.D X.A |
IX. D:1,3,5 X.A: 1-3,5,7-9 | ||
#20 |
11.1
pp690-696 IX.D X.B1-4 |
HW #20 110SP12 Sequences I (11.1) | 11.1:3-7;9-13
odd;17-21 IX.D: 8,10,14,15 |
|
#21 |
X.B1-4 11.1 :pp 696-699 11.2 |
HW #21 110SP12 Series I (11.2) | 11.2: 9-17 odd;21-23, 41-43,47-49 | |
#22 |
X.B1-4 |
HW #22 110Sp12 MORE Series II ( 11.2 ) | 11.3: 3-6, 11-13, 17,18 11.5: 3-6, 9-11 |
|
#23 |
11.3 : pp 714-717 |
HW #23 110Sp12 MORE Series III (Integral) ( 11.3 ) | 11.4:3-7 11.6 : 7, 13, 27, 2,8 |
|
#24 |
X.B5
Ratio
Test For Positive Series 11.4: 722-724 |
HW #24 110SP12 Pos Series Comp&ratio (11.4/11.6) | ||
#25 |
XI.A
11.5: 11.6 pp 732-736 middle, 737 |
HW #25 110SP12 Series IV (altern gen'l) 11.5-6 | 11.6:3-5, 17-19, 31 | |
#26 |
HW #26 110SP12 Series V
(Ratio gen'l) 11.5-6 |
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#27 |
HW #27 110SP12 Power
series I (11.8) |
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#28 |
7.2: pp471-473 | HW #28 110SP12 integrals
with sin and cos (7.2) |
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#29 |
7.2 pp 473-476 |
HW #29 110SP12 integrals
with sec and tan (7.2) |
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#30 |
HW #30 110Sp12 Power
series II (11.8&9) |
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Examination #2 | Self Scheduled for Wed. Nov. 14 Covers material assigned through # 29 |
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#31 |
6.1:pp 422-425 | HW #31 110 Area revisited (6.1) | ||
#32 |
6.1 pp425-426 (area) 7.3 VII.E |
HW #32 110 F12 trig subs
[sin and tan] (7.3) |
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#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) |
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#35 |
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Not
yet ASSIGNED. |
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#37 |
6.2 pp 422-425 example 2 6.2 pp 425-430 (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 A16-A23 6.5 |
App C: 1,3,5, 11-23 odd 6.4:13, 17 6.5: 1- 4 |
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10.1 pp 621-623 8.1:p525-526 10.2 pp 633-634 10.2 pp630-633 10.3 pp639-643; 644-646 10.4 pp650, 652 |
10.1:1,3,5-7,11,12,19,24,28 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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