• NOTICE: All items on this syllabus are subject to change.
  
• Course Description
• Course Assignments: Text Problem lists
• Most Recent
• Course Problem of the Week (sometimes with hints, etc.)Next:POW #6: Due Monday 5-2; POW #5.Due: Thursday April 7; POW #4 due Thursday March 24 POW #3 due Thursday Feb 24; POW #2 due Thursday Feb 10; POW#1 due Thurday Feb 3.
  

• Winplot Materials: Winplot (freeware for PC's that we will use) may be downloaded from Rick Parris's website or directly from Winplot .
• Supplementary material for Winplot
  
• Instructions for Winplot prepared by Gerald Hile (Hawaii).

• Want to find out what your learning style is? Here is an interesting learning styles inventory on the web:  NC State   
  
• Some advice on how to suceed  in a calculus course (at the UNL)
• Actions of a Good Student (Advice from Prof. Biles - HSU)

• WWW Interactive Mathematics Server- on-line and popup calculators for calculus!
• Wolfram|Alpha
• Calculus web sites for surfing.
• On-line tutorials from Hippocampus [Excellent!]
• Calculus on the Web [Excellent!] (Temple U)
• Paul Seeburger's Dynamic Calculus Site [Excellent!]
  
• Visual Calculus (Univ. of Tenn.) calculus (first year) tutorials, etc.
• Calculus resource page from Stewart's Calculus Textbook.
• Online Mathematics Tutorials at Harvey Mudd College! many excellent tutorials...Calc I-III, DE's, Linear Algebra.
• Practice problems from Calculus@internet
• Applied  Calculus  (many good summaries, examples, and tutorials)
• Mathlets: Excellent Java applets for Calculus I-III, etc.
• SOS Mathematics - Calculus materials
• Math 1002 calculus at University Of Aberdeen: Calculus Notes from Ian Craw.
  

• For an entertaining 20 minute  review of the major concepts of Calculus I, you might try Ed Burger's Calculus  [Contact me for more information.]

 
 

CALENDAR SCHEDULE
NOTICE: All items on this syllabus are subject to change.
( last revision noted 1-21-11)

Week	Monday	Wednesday	Thursday	Friday
1	No Class MLK Day	1-19 Introduction & Review (Thinkwell)	1-20 More review. Differential equations and  IVA IVB IVC Direction Fields IV.D	1-21  IVA IVB IVC Direction Fields IV.D
2	1-24Direction Fields Continued. IV.D	1-26 Euler's Method  IV.E	1-27 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	1-28More on the relation between the DE y'=y with y(0)=1  and ex.
3 POW #1 Due Thurday Feb 3. Summary #1 due Wed. Feb 2.	1-31 Models for learning.  y' = k / x; y(1)=0. k =1  VI.B	2-2  y = ln (x) and ln(2)  ln|x| and integration of 1/x. More on ln and exp! SC VI.C Review Substitution	2-3 Begin Bounded learning. Improper Integrals I	2-4 More on improper integrals Bounded learning and Arctan. VI.D
4 POW #2: Due Thursday Feb 10	2-7More Review Substitution(ii)	2-9 More DE models.  Separation of variables.Growth/Decay Models. [Symbolic] .	2-10 The Logistic Model	2-11 More logistic.
5 Summary #2 due Thursday Feb 17	2-14 Integration of rational functions I. VII.F	2-16 Rational functions II	2-17 Rational functions III VII.F	2-18 End Rational Functions Begin Improper Integrals II  Integration by parts I?
6 POW #3: Due Thursday Feb 24	. 2-21Improper Integrals and  comparison tests III	2-23Integration by parts. II VII.C	2-24 Numerical Integration. (linear),  V.D	2-25comparison tests? Integration by parts (finale?) Numerical Integration. (quadratic),  V.D
7 Summary #3 due Thursday March 3	2-28 Comparison Tests for improper integrals. Reduction Fornula and integration by parts.	3-2Start  Taylor Theory for e^x.  Application to estimation of integral.	3-3 Taylor Theory I.  IXA Applications: Definite integrals and DE's.	3-4Taylor theory: Finish  IXA..  IXB MacLaurin Polynomials
8  Exam I  Self scheduled: Wed. Mar. 9	3-7 Review for exam #1 (?) IXB MacLaurin Polynomials (cont'd)	3-9 Taylor Theory for remainder proven.	3-10 IX.C More on finding MacLaurin Polynomials & Taylor theory.	3-11More MacLaurin.   IX.D Taylor Theory derivatives, integrals, and ln(x) Use of absolute values.
9	NO Classes : Spring Break!
10 POW #4: Due 3-24 Summary #4 due 3-25	3-21 IX.D Taylor Theory derivatives, integrals, and ln(x) Use of absolute values.	3-23Taylor Theory: End First Round How Newton used Geometric series to find ln(.9) Geometric sequences.	3-24 Begin Sequences and series.	3-25 Sequence properties: Unification.
11	3-28 X.A	3-30 Series Conv. I   Geometric and Taylor Series. geometric series  X.B1_4     Theorem on Rn Taylor  polys and Series.	3-31 NO Class CC Day	4-1 Series Conv. II Harmonic Series. The divergence test.  Incr&bdd above implies convergent. Positive series & Integral test.
12 POW #5: Due 4-7	4-4Series Conv. III Positive comparison test Ratio test  for Positive Series X.B5	4-6 Series Conv.  IV Alternating Series Absolute Convergence.	4-7 Series Conv.VI Absolute conv. & conditional:  The General ratio test:	4-8 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
13 Summary #5 due 4-15	4-11 Power Series I  XI.A Start Trig Integrals I sin & cos	4-13 Power Series II (Interval of convergence)XI.A Taylor Series	4-14 Power Series III (DE's) Trig Integrals II sec&tan	4-15 Power Series IV (Functions and DE's)
14 Exam II  self scheduled Wed. 4-20	4-18 Trig substitution (begin- area of circle) I (sin) VII.E	Area Revisited Favorite estimates. exp(pi*i) = -1	Area II Volume I Trig substitution II (tan and sec) VII.E	More trig area More area ("dy")
15	4-25 volume I Work Parametric curves I	Parametric curves II :Arc Length VIII.B	Average Value Volume II Polar Curves I	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 POW #6: Due Monday 5-2 Summary #6 :Thurs 5-5	5- 2 Surface Area --? The conics IV  Hyperbolic functions: DE's, Taylor Series, Algebra  and Hyperbolas.	Darts  ?? Probability density, mean	L'Hospital's rule? Proof Of L'Hospital's Rule?
17 Final Examination Self scheduled Review Session: Sunday 5-8 12:00-2:15  BSS 302		Sign up for self -schedule- See Moodle for time Wed., Thurs., Fri.

Back to Martin Flashman's Home Page :) Back to HSU Math. Department :}


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Spring, 2011                 COURSE INFORMATION               M.FLASHMAN
MATH 110 : CALCULUS II                      MWRF 10:00-10:50 A.M. KA 104
OFFICE: BSS 356                                      PHONE:826-4950
Hours (Tent.): MWRF  8:15-9:30 AND BY APPOINTMENT or chance!
E-MAIL:flashman at humboldt.edu                WWW:      http://flashman.neocities.org/
***PREREQUISITE: Math 109 or permission.


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• TEXTS: Required: Calculus, Early Transcendentals, James Stewart, 6th edition (single variable ok). [CET]
• Webassign
• Excerpts from Sensible Calculus by M. Flashman as available from this webpage and Moodle.

• SCOPE: This course will deal with a continuation of the theory and application of what is often described as "integral calculus" as well as the calculus of infinite series. These are contained primarily in Chapters 6 through 11 of CET . Supplementary notes and text will be provided as appropriate through this webpage and Moodle.


• $$ TESTS AND ASSIGNMENTS: There will be several tests in this course. There will be several reality check quizzes, two midterm exams and a comprehensive final examination.
• We will use the HSU Moodle for some on-line reality quizzes.
  
• I will drop the lowest 20% of your quiz scores in determining the 100 points alloted for quiz work.
  
• Homework assignments are made regularly. They should be done neatly. We will be using WebAssign to grade homework. Record your homework results  by 9:15 AM of the due date.  I will discuss this further at the first class meeting. Problems from the assignments will be discussed in class based on the WebAssign report on submitted homework. Homework assignments will be used in determining the 100 course points.
• HOMEWORK MAY NOT BE GRADED THREE CLASS DAYS AFTER THE DUE DATE.
• You MAY e-mail or submit a written request before the start of class for me to discuss in class a problem or a question you have about the previously assigned reading or problem work.
  
• I will be available briefly after class and during my office hours and by appointment for other questions.
• Midterm Exams will be self-scheduled and announced at least one week in advance.
• THE FINAL EXAMINATION WILL SELF- SCHEDULED.
• The final exam will be comprehensive, covering the entire semester.
• MAKE-UP TESTS WILL NOT BE GIVEN EXCEPT FOR VERY SPECIAL CIRCUMSTANCES!

It is the student's responsibility to request a makeup promptly. *** DAILY ATTENDANCE SHOULD BE A HABIT! ***

• Partnership work:
• Summaries: Every two weeks you will be asked to submit a summary of what we have covered in class. (No more than two sides of a paper.) These may be organized in any way you find useful but should not be a copy of your class notes. I will read and correct these before returning them. The summaries must be submitted in a partnership (2-3 members). Exceptions by permission only.  Each individual partner will receive corrected photocopies.
• Your summaries will be allowed as references at the final examination only.
  Summary work will be used in determining the 50 course points allocated for summary work.
  
  
• Problem of the Week (POW) On alternate weeks (when a summary is not due) partnerships will submit a response to the "problem/activity of the week." These problems will be special problems distributed in class (and on this web page) or selected problems from the textbook.
• All  partnership  problem  work will be graded 5 for excellent/well done; 4 for good/OK; 3 for acceptable; or 1 for unacceptable; and will be used  in determining the 50 points allocated for the problem of the week.
 
• GRADES: Final grades will be determined taking into consideration the quality of work done in the course as evidenced primarily from the accumulation of points from tests and various  assignments.



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

• The final examination will be be worth either 200 or 400 points determined by the following rule:
  The final grade will use the score that maximizes the average for the term based on all possible points.
• MORE THAN 4 ABSENCES MAY LOWER THE FINAL GRADE FOR POOR ATTENDANCE.

Notice that only 400 or 600 of these points are from examinations, so regular participation with reality quizzes, homework, and partnership work is essential to forming a good foundation for your grades as well as your learning.

• No drops will be allowed without "serious and compelling reasons" and a fee after this date.
  
• No drops allowed after this date.
  
• Students wishing to be graded with either CR or NC should make this request  using the web registration procedures.

• Technology: The computer or a graphing calculator can be used for many problems. We will use Winplot, Microsoft Xcel, and Wolfram|Alpha.

We may go to the  computer lab a couple of times during the term to get some hands on experience with the software.
• $$ Winplot is freeware and may be downloaded from Rick Parris's website or directly from this link for Winplot .
• Online help for Winplot is available.
• Instructions for Winplot prepared by Gerald Hile (Hawaii).
• Notes for Winplot authored by Al Lehnen (Madison Area Technical College in Madison, Wisconsin)
• Graphing Calculators: Graphing calculators are welcome and highly recommended.
• A limited number of graphing calculators are available for students to borrow for the term through the Math department.
  
• If you would like to purchase a graphing calculator, see me if you would like my advise.
• Students wishing help with any graphing calculator should plan to bring their calculator manual with them to class.
• I do not use a hand-held graphing calculator during class time.
• Lap top computers are welcome in class at tools. (Not for other purposes.) They will not be allowed on exams.
  
• Only handheld calculators will be allowed on exams.
  

• $$ Use of  Office Hours and Optional "5th hour"s: Many students find  the second semester of calculus difficult because of weakness in their pre-calculus and first semester calculus background skills and concepts.

A grade of C in your first semester of calculus might indicate this kind of weakness.
Difficulties that might have been ignored or passed over in previous courses can be a major reason for why things don't make sense now.

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.   

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Spring, 2011     Problem Assignments - Updated regularly.
NOTICE: All items on this syllabus are subject to change.
(Tentative as of 1-21-2011)     
M.FLASHMAN MATH 110 : CALCULUS II

Early or Just in time: When two due dates are given, the first date is for preparation and/or starting problems, the second date is for completion of related problem work on webassign.
Assignments are active when a due date has been published.


On-line Sensible Calculus is indicated by SC.


Assignments and recommended problems I (*= interesting but optional)

Assignment	DateDue:	Read:	Web Assign	Do:(Not collected)
#1	1/21-25	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 572-575		3-6
#2	1/26-28	SC IV.E	HW #2 Math 110 9.2 II Euler's Method	5-9 odd (a&b)
		9.2:  pp 575-577		19, 21
#3	1/27-31	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	1/28-2/3	SC VI.B 3.1 pp178-180; 3.6 pp 215-217;219 SC VI.C	HW #4 110 DE's and ln. (3.6)	13,14 p262: 20, 29, 33
#5	2/3-4	5.5	HW #5 110 Subst'w/ ln& exp (5.5)	5.5: 1-11 odd
#6	2/3-7	7.8 pp 508-511( omit Ex. 2)	HW #6 110 Improper Integration I (7.8)	7.8: 3-13 odd, 8
#7	2/4-11	SC VI.D 3.5:pg 212	HW #7 110 Arctan and more improper integrals (7.8)	1-4;9-13;21,*(22&23) p214: 45, 54 On-line Mapping Figure Text and  Activities
#8	2/9-11	9.3 pp580-585	HW #8 110 Separable Diff'l Equations (9.3)	9.3: 1-5, 11,19,* 21
#9	2/9-14	9.4	HW #9 110 Cooling&Pop'n Models &DE's (9.4,3.8)	9.4:  3, 7
#10	2/21	7.4 pp 473-476 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	2/22	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	2/23	7.8: pp511-515	HW # 12 110 Improper Integrals II ( 7.8 )	7.8: 27-33 odd, 32; 49; *55; 57
#13	2/24	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	2/28		HW #14 110 MORE Integration by Parts ( 7.1 )
#15	2/28	7.7: pp 495-497; 500-502 Start  reading V.D	HW #15 110 Linear Numerical Integration ( 7.7 )	7.7: 1 (a-c), 31a [*VII.C: 12,16]
#16	3/2	7.7: 500-502 More help on Simpson's rule,etc can be found in SC  V.D	HW #16 110 Quadratic Numerical Integration ( 7.7 )	7.7: 27, 29,30
#17	3/3		HW #17 110 More Improper integrals and Tests (7.8)
#18	3/3-3/4	Read SC IXA	HW #18 - report on Moodle SC IXA 1,2, 3, 4, 6, 9, *10	SC IXA 1,2, 3, 4, 6, 9, *10
#19	3/4-3/10	Read IX B	HW #19 - report on Moodle SC IX B 1,2,4,5,7	SC IX B 1,2,4,5,7
Exam #1 self scheduled on  3-9-2011 covers Assigned Material through Assignment #18.
#20	3-22	IXB   IX.C	HW #20 - report on Moodle  IX B (ii)11,13,14  IX.C  (i) 1-4	IX B (ii)11,13,14,*23 IX.C  (i) 1-4
#21	3-23	IX.C IX.D	HW #21 - report on Moodle   IX.C(ii) 5-9; (iii) 12,14,16-18	IX.C(ii) 5-9; (iii) 12,14,16-18
#22	3-24	IX.D X.A	HW #22 - report on Moodle   IX. D:1,3,5    X.A: 1-3,5,7-9	IX. D:1,3,5 X.A: 1-3,5,7-9
#23	3-25	11.1 pp675-681 IX.D X.B1-4	HW #23 110 Sequences I (11.1)	11.1:3-7;9-13 odd;17-21 IX.D: 8,10,14,15
#24 #25	3-29 3-30	X.B1-4 11.1 pp 682 - 684 11.2	HW #24 110 MORE Sequences ( 11.1 ) HW #25 110 Series I (11.2)	11.2: 9-17 odd;21-23, 41-43,47-49
#26	4-4	X.B1-4 11.3 pp 679-700; 703 11.5: pp 710-713 7.2 :  pp 460-461	HW #26 110 MORE Series II ( 11.2 )	11.3: 3-6, 11-13, 17,18 11.5:  3-6, 9-11 (OOPS changed 11-9)
#27	4-5	X.B5 Ratio Test For Positive Series 11.4: pp: 705-706 11.6:  pp: 714-715	HW #27 110 MORE Series III (Pos<Integral)    ( 11.3 )	11.4:3-7 11.6 : 7, 13, 27, 2,8 7.2: 1-9 odd
#28 #29	4-11	XI.A 11.6 pp 716-718 middle, 719	HW #28 110 Positive Series Comp&ratio (11.4/11.6) HW #29 110 Series IV (Ratio/altern gen'l) 11.5-6	11.6:3-5, 17-19, 31
#30	4-13	11.8	HW #30 110 Power series I (11.8)	11.8: 3-8, 15,16
#31	4-14	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	4-15	7.2: pp462-465	HW #32 110 integrals with sin and cos (7.2)	7.2: 21-29 odd; 56,51
#33	4-18	7.2	HW #33 110 integrals with sec and tan (7.2)
Examination #2	4-20	Self Scheduled for 4-20 Covers material assigned through # 33
#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
Below this line all assignments are  not yet firm and due dates are to be determined.
		Appendix C pp A16-A23 6.5		App C: 1,3,5, 11-23 odd 6.4:13, 17 6.5: 1- 4
		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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Math 110 Reference Topic List for final Spring, 2011!     Core Topics are italicized.

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