Week |
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|
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Friday |
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1 | No Class MLK Day |
1-17 Introduction & Review |
1-19 More review. Differential equations and IVA IVB IVC Direction Fields IV.D |
1-20 IVA IVB IVC Direction Fields IV.D |
2 |
1-23Direction Fields Continued. IV.D |
1-24
Euler's Method IV.E |
1-26
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 |
1-27
More on the relation between the DE y'=y with
y(0)=1 and ex. |
3 POW #1 Due Thursday Feb 2 Summary #1 due Wed. Feb 1. |
1-30 Models for learning. y' = k / x; y(1)=0. k =1 VI.B y = ln (x) and ln(2) ln|x| and integration of 1/x. More on ln and exp! SC VI.C Review Substitution |
1-31 Begin Bounded learning. Improper Integrals I |
2-2 More on improper integrals Bounded learning and Arctan. VI.D |
2-3More DE models. Separation of variables. |
4 POW #2: Due Thursday Feb 9 |
2-6 More Review Substitution(ii) Growth/Decay Models. [Symbolic] . The Logistic Model | 2-7 More logistic. | 2-9 Integration of rational functions I. VII.F | 2-10 Rational functions II |
5 Summary #2 due Thursday Feb 16 |
2-13 Rational functions III VII.F |
2-14End
Rational Functions Breath |
2-16
Improper Integrals II |
2-17 Integration by parts I VII.C |
6 POW #3: Due Thursday Feb 23 |
2-20 Improper Integrals and comparison tests III | 2-22 Integration by parts. II VII.C Reduction Formula and integration by parts. | 2-23 More Comparison Tests for
improper integrals. Numerical Integration. (linear), V.D |
2-24
comparison tests? Numerical Integration. (quadratic), V.D |
7 Summary #3 due Thursday March 1 |
2-27 Integration
by parts (finale?) Application to estimation of integral |
2-28 Start Taylor Theory for e^x. Taylor . IXA | 3- Applications: Definite integrals and DE's. |
3-2
Taylor theory: Finish IXA.. IXB MacLaurin Polynomials |
8
Exam I Self scheduled: Wed. Mar.7 POW #4: Due 3-8 |
3-5
Review for exam #1 (?) IXB MacLaurin Polynomials (cont'd) |
3-6
Taylor Theory for remainder proven. |
3-8
IX.C More on finding MacLaurin
Polynomials & Taylor theory. |
3-9 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! |
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10 Summary #4 due 3-22 |
3-19 IX.D Taylor
Theory derivatives, integrals, and ln(x) Use of absolute values. |
3-20Taylor Theory: End First Round |
3-22 Begin Sequences and series. Geometric sequences. |
3-23 X.A
Sequence properties: Unification. Bounded Monotonic convergence Theorem |
11 POW #5: Due: 3-29-2012 | 3-26 Series Conv. I Geometric and Taylor Series. geometric series X.B1_4 Theorem on Rn Taylor polys and Series. |
3-27
Series Conv. II Harmonic Series. The divergence test. |
3-29
Incr&bdd above implies convergent. |
3-30 NO Class CC Day |
12 | 4-2
Series Conv. III Positive series & Integral test. |
4-3 Positive comparison test |
4-5Ratio
test for Positive Series X.B5 |
4-6Series
Conv. IV Alternating Series Series |
13 Summary #5 due 4-12 | 4-9
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 |
4-10 Power Series II (Interval of convergence)XI.A Taylor Series |
4-12 Power Series III (DE's) Start Trig Integrals I sin & cos |
4-13
Power Series IV (Functions and DE's) Trig Integrals II sec&tan |
14 Exam II self scheduled Wed. 4-18 |
4-16
Trig substitution (begin- area of circle) I (sin) VII.E |
4- 17
Area Revisited Favorite estimates. exp(pi*i) = -1 |
4-19
Area II Volume I Trig substitution II (tan and sec) VII.E |
4-20 More trig area More area ("dy") |
15 POW
#6: Due Thursday
4-26 |
4-23
volume I Work Parametric curves I |
4-24
Parametric curves II :Arc Length VIII.B |
4-26 Average Value Volume II Polar Curves I |
4-27
Polar curves II Parametric curves III tangents Conics I Intro to loci-analytic geometry issues.(parabolae, ellipses) Conics II More on Ellipse and Parabola. Conics III The hyperbolae |
16 Summary #6 :Thurs 5-5 |
4-30
Surface Area --? The conics IV Hyperbolic functions: DE's, Taylor Series, Algebra and Hyperbolas. |
5-1 Darts ?? Probability density, mean |
5-3
L'Hospital's rule? Proof Of L'Hospital's Rule? |
5-4 |
17 Final Examination Self
scheduled Review Session: Sunday 5-6 TBA |
5-8
FOR 107: 1500-1700 |
5-10
ARTA_027 0800-1000 |
5-11 FH 177: 1020-1220 FOR 107: 1500-1700 |
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 is available in BSS 308
-----Time------ |
---Monday---- |
-----Tuesday---- |
--Wednesday-- |
---Thursday--- |
----Friday---- |
2-3 PM |
X |
X |
X |
Johnson |
|
3-4 PM |
Freedman Haag |
Freedman |
Haag |
Johnson |
Lauck |
4-5 PM |
Goetz |
Goetz |
Flashman |
x |
x |
5-6 PM |
Lauck |
Flashman |
Flashman | x |
x |
Assignment |
DateDue: | Read: | Web Assign |
Do:(Not collected) |
---|---|---|---|---|
#1 |
1/20-23 |
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 |
|||
#2 |
1/23-24 |
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 |
1/27-30 |
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 | 1/31 |
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 | 2/2 |
5.5 | HW #5 110 Subst'w/ ln& exp (5.5) | 5.5: 1-11 odd |
#6 | 2/3 |
7.8 pp 519-523( omit Ex. 2) | HW #6 110 Improper Integration I (7.8) | 7.8: 3-13 odd, 8 |
#7 | 2/6 |
SC VI.D 3.5:pg 213-4 |
HW #7 110 Arctan and more improper integrals (7.8) | 1-4;9-13;21,*(22&23) p214: 49, 54 |
#8 | 2/7 |
9.3 pp594-598 |
HW #8 110 Separable Diff'l Equations (9.3) | 9.3: 1-5, 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 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 | 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 | 2/20-21 |
7.8: pp523-525 |
HW # 12 110 Improper Integrals II ( 7.8 ) | 7.8: 27-33 odd, 32; 49; *55; 57 |
#13 |
2/20-21 |
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 |
2/27 |
7.7:
pp 506-509; 511-513 Start reading V.D |
HW #14 110 Linear Numerical Integration ( 7.7 ) | 7.7: 1 (a-c), 31a [*VII.C: 12,16] |
#15 |
2/29 |
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 Wed. 3-7 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) 1-4 | ||
#19 | 3/?? |
IX C |
HW #19 IX.C 5-9; 12,14,16-18 | |
#19.5 |
3/?? |
IX.D X.A |
IX. D:1,3,5 X.A: 1-3,5,7-9 | |
#20 |
3/25? |
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 |
3/29 |
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 |
4/3 |
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 |
4/5 |
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 |
4/6 |
X.B5
Ratio
Test For Positive Series 11.4: 722-724 |
HW #24 110SP12 Pos Series Comp&ratio (11.4/11.6) | |
#25 |
4/9 |
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 |
4/10 |
HW #26 110SP12 Series V
(Ratio gen'l) 11.5-6 |
||
#27 |
4/12 |
HW #27 110SP12 Power
series I (11.8) |
||
#28 |
4/13 |
7.2: pp471-473 | HW #28 110SP12 integrals
with sin and cos (7.2) |
|
#29 |
4/16 |
7.2 pp 473-476 |
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 |
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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: 1-3,5,7-9 |
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7.2 : | |
7.2: 1-9 odd | ||
#28 #29 |
HW #28 110 Positive
Series Comp&ratio (11.4/11.6) HW #29 110 Series IV (Ratio/altern gen'l) 11.5-6 |
|||
#30 |
11.8 | HW #30 110 Power series I (11.8) | 11.8: 3-8, 15,16 | |
#31 |
7.3 pp 467-469 example 2 5.2: p366-367 6.1:pp:415-417 |
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: pp462-465 | HW #32 110 integrals with sin and cos (7.2) | 7.2: 21-29 odd; 56,51 | |
#33 |
7.2 |
HW #33 110 integrals with sec and tan (7.2) | ||
#34 |
VII.E
Trigonometric Substitutions 7.3 pp 469-471 |
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 415-418 |
HW #35 110 Area
revisited (6.1) |
6.1:3,4,21, 22 |
|
#36 |
6.1 pp418-419 (area) | HW #36 110 Areas "dy", sec and trig subs (6.1,) | ||
#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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