Math 172 - Calculus II

Fall 2012


Calc II

    Schedule   Homework Resources   Interest


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Textbook Calculus: Early Transcendentals (2nd ed.), Jon Rogawski
Supervisor Mark Pernarowski
Grading Your final course percentage P will be based off four common hour exams and a section grade determined by your instructor:
        Max points  
  Midterm 1 M1 Solns 100 (common exam)
  Midterm 2 M2 Solns 100 (common exam)
  Midterm 3 M3 Solns 100 (common exam)
  Final F Solns 100 (common/comprehensive exam)
  Section Grade S   100 (instructor dependent)
  Total     500  

The section grade S is determined by your section instructor and will be based off a combination of quizzes and/or homework assignments. Your instructor will communicate their policies for this.

Your final course percentage P is then determined by:

           P  = (M1+M2+M3+F+S)/5

The course percentage will be converted to a letter grade using the following scale:

A A- B+ B B- C+ C C- D F
90-100 87-89 84-86 80-83 77-79 74-76 70-73 67-69 60-66 0-59
   
Tutoring/MLC Your instructor will let you know what their office hours are for extra help.

The Math Learning Center (MLC - Wil 1-112) also provides free tutoring during the week.

Throughout the semester Jerry Markman also holds M172 Review sessions on the following schedule:

  Monday 9/17 6-7:50pm REID 104
  Tuesday 9/18 6-7:50pm CHVR 215
  Sunday 10/14 4-5:50pm REID 104
  Tuesday 10/16 6-7:50pm JONH 346
  Thursday 11/8 6-7:50pm REID 104
  Tuesday 11/13 6-7:50pm CHVR 215
  Wednesday 12/5 6-7:50pm REID 104
  Sunday 12/9 6-7:50pm REID 108
   
Exam Policies Exam topics will be announced in class and posted on this website below.

Common hour exams are closed book, no notes and no electronic devices.

The final exam is comprehensive but will have limited scope. The precise contents will be listed later in the semester.

Policies regarding quizzes and/or homework forming your sectional grade will be communicated to you by your instructor.

Class attendance on common exam days is not required
   
Exam Dates  Some sections will be sharing the same room for certain exams. In those situations it does not matter where you sit but completed exams will be collected by section number. Know your section number!

                                             
   
   
 
             
Section      Instructor Midterm 1
Solns
Thursday
9/20
6-7:50pm
Midterm 2
Solns
Thursday
10/18
6-7:50pm
Midterm 3
Solns
Thursday
11/15
6-7:50pm
Solns
Tuesday
12/11
10-11:50am
               
01 8:00am    Shari Samuels EPS 103 EPS 103 EPS 103 Wil 1121
02 9:00am    Veronica Baker EPS 103 EPS 103 EPS 103 Wil 1122
03 10:00am    Jerry Markman EPS 103 EPS 103 EPS 103 Wil 1130
04 11:00am    Tom Hayes REID 104 REID 104 REID 104 CHVR 215
05 1:10pm    Kacey Diemert REID 103 REID 103 REID 105 Wil 1131
06 12:00pm    Tom Hayes REID 104 REID 104 REID 104 CHVR 215
07 3:10pm    Rob Malo REID 103 REID 103 REID 105 Wil 1132

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Schedule Below is a calendar showing the anticipated schedule (textbook section number). Also shown are Holidays (green) and common exams (red).

Sunday Monday Tuesday Wed Thursday Friday Saturday
  27
 (5.4)
28
 (5.6)
29
 
30
 (5.7)
31
 (6.1)
1
 
2
 
3
Labor
4
 (6.2)
5
 
6
 (6.2)
7
 (6.3)
8
 
9
 
10
 (6.3)
11
 (6.4)
12
 
13
 (6.5)
14
 (7.1)
15
 
16
 
17
 (7.1)
18
 Review
19
 
20
Midterm 1
21
 (7.2)
22
 
23
 
24
 (7.2)
25
 (7.3)
26
 
27
 (7.3)
28
 (7.4)
29
 
30
 
1
 (7.5)
2
 (7.5)
3
 
4
 (7.6)
5
 (7.6)
6
 
7
 
8
 (8.1)
9
 (8.1)
10
 
11
 (8.2)
12
 (8.3)
13
 
14
 
15
 Review
16
 Review
17
 
18
Midterm 2
19
 (10.1)
20
 
21
 
22
 (10.1)
23
 (10.2)
24
 
25
 (10.2)
26
 (10.3)
27
 
28
 
29
 (10.3)
30
 (10.4)
31
 
1
 (10.5)
2
 (10.5)
3
 
4
 
5
 (10.6)
6
Election
7
 
8
 (10.7)
9
 (10.7)
10
 
11
 
12
Veterans
13
 Review
14
 
15
Midterm 3
16
 (11.1)
17
 
18
 
19
 (11.1)
20
 (11.2)
21
Thanksgiving
22
Thanksgiving
23
Thanksgiving
24
 
25
 
26
 (11.2)
27
 (11.3)
28
 
29
 (11.3)
30
 (11.4)
1
 
2
 
3
 (11.4)
4
 (11.5)
5
 
6
 Review
7
 Review
8
 
9
 
10
 
11
Final
12
 
13
 
14
 
 
     


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Homework Below is a listed of homework problems that are indicative of the kinds of questions which may
be on the exams. This list will evolve as the course does. The homework will not be collected or
graded but it is VERY important you understand it.

NOTE: some sections below are not covered
 
Section Suggested Homework Problems Media  Topic
5.4   3,7,11,13,21,25,29 1 Fundamental Theorem
5.5   not covered   Net Change
5.6   1,34,5,7,11,13,15,17,27,33,39,41,49,55,69
71,79,83,87,89
1 23 Substitution
5.7 7,9,15,20,35,39,40,46,47,49,53,59,68 12 Inverse Trig. Integrals
6.1 1,3,7,9,14,17,27,31,39,43 1 Area between curves
6.2 1b,3,5,6,11,13,23,25,27,29,33,45,49   Volumes, Averages
(no flow rates)
6.3 1,3,6,7,9,15,17,19,27,35,37,39 123 Volumes of Revolution
6.4 1,3,5,7,9,21,23,33,35,37 1 Volumes via Shells
6.5 11,13,15,17,19,20,21   Work and Tanks
7.1 1,2,5,6,9,11,13,19,23,25,,37,39,41,43,
45,47,51,53
1234 Integration by Parts
  Midterm 1 Solns Thurs. Sept 20,
 6-7:50pm
7.2 1,2,3,5,9,15,17,23,24,29,33,35,41,43,44,45
47,51,53,57,59
1234 56 Trigonometric Integrals

7.3 1, 3,6,7,8,11,13b,15,17,19,23,25,29,37,39,
43,44,45,46,55
233 Trigonometric substitutions
7.4 1,2,4,9,11,17,19,23,25,26   Inverse Hyperbolic Fns.
7.5 2,5,7,11,13,17,22,29,33,34*,35,
45, 46 (u=x+2),47 (u=e^x),53,54,55,57
1 23 Partial Fractions
7.6 1,2,5,11,13,17,21,25,27,31,33,37,41,43,55
61,63,67,69
12 Improper Integrals
7.7 not covered   Probability
7.8 not covered   Numerical Integration
8.1 1,3,5,7,10,15 (implicit diff to get y'),19,21,33, 34,35,39 (perfect square under radical) 1  Arclength, Surface area
8.2 1d,2a,2d,4a,4c,5,10 (is 441,000N)   Fluid Pressure
8.3 5,7,9,11,17,21,27 12 Center of Mass
Review 1) Integration review worksheet
2) Improper Integrals, Arclength, Surface
    Area and Center of Mass
Review_1
Review_2
 
8.4 Will do later when covering 10.7 below   Taylor Polynomials
  Midterm 2 Solns Thurs. Oct 18,
6-7:50pm
10.1 1,3,5,7,13,14,15,16,17,21,23,25,27,29,38,39
40,43,48,51,63,65,67,69,72,73,83
123
4
Sequences
10.2 1,11,13,17,18,21,23,25,29,31,37 123
45
Summing Series
10.3 1,3,9,10,11,15,24,25,39,41,43,45
47 (L'Hopital),49,51,55,59,63 (1/(n*log(n)),69
123  Series Convergence
10.4 3,5,6,7,9 (n>(log n)^2),12,13,19,22,23,24,27 1234 Abs. & Cond. Convergence
10.5 1,3,5,6,9,13,17,19,27,29,31,36,37,39,41,43-48 12  Ratio/Root tests
10.6 1,3,5,7,9,12,15,19,21,23,29,33,35,41,45,49 123  Power series
10.7 1,3-15(odd),19,21,27,31-34,41,67,81,83 12345 Taylor series
Review
Review: Series Convergence tests
Review: Medium/Hard difficulty problems
Review: True/False questions
12
1Soln
1
 
  Midterm 3 Solns Thurs. Nov 15,
6-7:50pm
11.1 7,9,11,19,23,25,26,27,31,35,43,53,55 1 Parametric Equations
11.2 1,3,4,7,9(hard),12,15,17,19 12  Arclength, speed
11.3 3,5,11,13,15,17-20,24,37 12 Polar Coordinates
11.4 1,3,5,7,9,11,25,27,30 (Hard: u=sin(theta)) 1  Area/Arclength in Polar
11.5 none   Conic sections
Review 1) Integration worksheet (simple/medium)
2) Chapter 11 "review" is the homework
Review_3  
  Final Solns Tues Dec 11,
10-11:50am
 

 









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Midterm 1:  (9/20 @ 6pm)
                                                            

 
               . About 40% of the exam will be straight up integration problems like those in (5.6), (5.7) and (7.1) below.
               . The balance of the exam will be integral applications (6.1)-(6.5).
               . More than 50% of the exam will be homework problems!!
               . Section (5.4) isn't listed below. Only those sections below will be on the test
               . You should be able to do the exam in 60 minutes but will have 1hr 50min.

Textbook Sections Topic Exceptions/remarks:
     
5.6 Substitution Method  
5.7 Inverse Trig. Integrals no hyperbolic functions
7.1 Integration by parts  
     
6.1 Area between curves  
6.2 Volumes and averages no "radial average" aka Eqn 4 pg 368
6.3 Volumes of Revolution  
6.4 Volumes via Shells  
6.5 Work simple ones only



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                                                      Midterm 2:  (10/18 @ 6pm)
                                                                  


              . About 70% of the exam will be on integration techniques and improper integrals
              . There will be 3 application problems chosen from: arclength, surface area, fluid pressure, centroids
              . More than 50% of the exam will be homework or review sheet problems!!
              . The formula sheet below will be attached to the exam
              . You should be able to do the exam in 60 minutes but will have 1hr 50min.


Textbook Sections Topic Exceptions/remarks:
     
7.2 Trigonometric Integrals  
7.3 Trigonometric Substitutions  
7.4 Hyperbolic substitutions Not on exam
7.5 Partial Fraction methods cubic or quadratic denominators.
7.6 Improper Integrals Comparison Theorem too!
     
8.1 Arclength and Surface Area  
8.2 Fluid Pressure  (Eqn 2, pg 475)
8.3 Center of Mass  



                 
                                                     Formula Sheet that will be attached to Midterm:      

Midterm 2 Formula Sheet



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Midterm 3:  (11/15 @ 6pm)
                                                                  

              . The bulk of the exam will involve using various tests to determine convergence or divergence of series.
This includes Geometric series, Telescoping series, Divergence test, Integral test, p-series, Comparison
tests, Alternating series test, root test, ratio test.
              . You will need to know the definitions and concepts associated with convergence, absolute convergence,
conditional convergence, radius of convergence and interval of convergence.
              . The balance will involve a Taylor or Power series problem
              . There will be a 10 point T/F question like these.
              . About 50% of the exam will be homework or review sheet problems!!
              . The formula sheet below will be attached to the exam
              . You should be able to do the exam in 60 minutes but will have 1hr 50min.


Textbook Sections Topic Exceptions/remarks:
     
10.1 Sequences Convergence/Divergence
Taking limits
10.2 Infinite series Convergence, Geometric series, Telescoping Series, Divergence test
10.3 Positive series Integral test, p-series, Comparison test, Limit Comparison test
10.4 Absolute & Conditional Conv. Definitions, Alternating Series test
10.5 Ratio and Root tests  
10.6 Power Series Radius and intervals of convergence
10.7 Taylor Series Definition, Maclaurin series, Shortcut methods, Binomial Series



                 
  Formula Sheet that will be attached to Midterm:      


Midterm 3 Formula Sheet



Final:  Tues Dec 11, 10-11:50am

              . About 60% will be on Chapter 11 material. No review sheets will be posted for Ch 11 but the questions
will either be homework problems or be very similar to homework problems. Pay special attention to
the parametric arclength formula and both the polar arclength and area formula. You
may also be asked to convert between parametric curves (x(t),y(t)) and functions y=f(x) and between
polar equations and cartesian equations. There are several HW problems of this nature.
              . About 40% will be straight up basic integration problems. There is a new review sheet. Exam problems
will either be taken from that sheet or be VERY similar. The formula sheet from Midterm 2 will also
be attached though you will not need sin(A)cos(B) formulae. You will need to know
a) substituion b) Int. by parts c) simple trig integrals d) simple inverse trig subsitutions and
e) simple partial fraction expansions.
              . There will be NO series problems
              . There will be NO application problems from Ch 6 or Ch 8
              . In summary: Chapter 11 HW and the Integral sheet posted.
              . You should be able to do the exam in 60 minutes but will have 1hr 50min.


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Points of interest

        There are many interesting and unusual things we don't have time to cover. Some of these will be listed in the
        table below with a brief description and link. In some cases these may be links to cool free software or web
        teaching aids. Enjoy!

Category Description Media  
Series If a series is conditionally convergent, you can sum it in
a different order and make it converge to any number you
wish!! Weird but true.
1 PDF
Series There are some free sites that have cool web interface teaching
aids for series. The future is coming but you should take such aids
with a grain a salt. They can sometimes give misleading results.
......so you still need to know the material!
1 WEBSITE


 




 

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