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Math 172  -  Calculus II     (Spring 2013)


Calc II

    Schedule   Homework Exams  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 100 (common exam)
Midterm 2 M2 100 (common exam)
Midterm 3 M3 100 (common exam)
Final F 100 (common/comprehensive)
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    

None of the exam grades or section grades may be "dropped".

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
 
Prerequistes M171 noting University Compentency Requirements  and Departmental Policies
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.

Jerry Markman also holds M172 pre-exam review sessions on the following schedule:

Saturday February 2 3pm-5pm REID 103
Sunday February 3 10am-12pm REID 103
Sunday March 3 10am-12pm REID 103
Sunday March 3 3pm-5pm REID 103

 
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 section grade
will be communicated to you by your instructor.

Class attendance on common exam days is not required

Exam Dates  Exam dates, times and locations are listed below by section number. 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!

                                              Final as of Jan 25, 2013
                                         
 
Section MF    Instructor Midterm 1

Tuesday
2/5
6-7:50pm		 Midterm 2

Tuesday
3/5
6-7:50pm		 Midterm 3

Tuesday
4/9
6-7:50pm
Tuesday
4/30
6-7:50pm
   
01 8:00am   Diana Schepens REID 101
 REID 101
 EPS 108
 WIL 1-132
02# 9:00am   Andy Bouwman EPS 108 REID 402 WIL 1-131 WIL 1-131
03# 10:00am   Jeremy Schwend GH 243 REID 201 GH 243 GH 043
04# 10:00am   Roger Fischer GH 143 WIL 1-132 GH 143 GH 243
05 11:00am   Len Lutz EPS 103 REID 102 GH 101 REID 105
06# 12:00pm   Len Lutz EPS 103 REID 102 GH 101 REID 105
07# 1:10pm   Kimberly Graham EPS 103 CHVR 215 GH 101 REID 105
08# 2:10pm   Rob Malo LINH 234 LINH 234 WIL 1-132 WIL 1-121
09 3:10pm   Tom Hayes REID 103 REID 104 JONH 339 LINH 301
10# 12:00pm   Tom Hayes REID 103 REID 104 JONH 339 LINH 301
11 8:00am   Adam Wilander GH 043 WIL 1-122 GH 043 WIL 1-122
12# 9:00am   Kimberly Graham EPS 103 CHVR 215 GH 101 REID 105


Only MF classroom times are listed above for each section. The sections with a # mark meet at different times on TR which you may find at the registrar website .

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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



9
 		 10
(5.6)		 11
(5.7)		 12
 
13
 		 14
(6.1)
 15
(6.2)
 16
 		 17
(6.2)
 18
(6.3)
 19
 
20
 		 21
 MLK		 22
(6.3/6.4) 		23
 		 24
(6.4) 		25
(6.5) 		26
 
27
 		 28
(7.1)
 29
(7.1)		 30
 31
(7.2)
 1
(7.2)
 2
3
 		 4
Review		 5
Midterm 1		 6
 		 7
(7.3)
 8
(7.3)		 9
 
10
  		11
(7.4) 		12
(7.5) 		13
 14
(7.5) 		15
(7.6) 		16
 
17
 		 18
Pres. Day		 19
(7.6) 		20
 		 21
(7.7) 		22
(8.1)
 23
 
24
 		 25
(8.1) 		26
(8.2)
 27
 		 28
(8.3)
 1
(8.4) 		2
 
3
 		 4
 Review		 5
Midterm 2 		6
 		 7
 (10.1)		 8
 (10.1)		 9
 
10
 		 11
Sp. Break 		12
 Sp. Break		 13
 Sp. Break		 14
 Sp. Break		 15
 Sp. Break		 16
 
17
 		 18
(10.2)
 19
(10.2)
 20
 		 21
(10.3)		 22
(10.3) 		23
 
24
 		 25
(10.4)
 26
(10.4)
 27
 		 28
(10.5)
 29
Univ. Day. 		30
 
31
 		 1
(10.6)
 2
(10.6) 		3
 4
(10.7)
 5
(10.7)
 6
 
7
 		 8
Review 		9
Midterm 3 		10
 		 11
(11.1)
 12
(11.1)
 13
 
14
 		 15
(11.2)
 16
(11.2) 		17
 18
(11.3) 		19
(11.3) 		20
 
21
 		 22
(11.4) 		23
(11.4)
 24
 		 25
Review 		26
Review		 27
28
 29
30
Final		 1
 2
 3
 
 4


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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 change slightly and some useful additions will be included. Though this homework will not be collected or graded, it is VERY important you understand it. Also note that some videos and review materials are included under the "Media" column.

NOTE: some sections below are not covered
Section Suggested Homework Problems Media  Topic
5.6   1,34,5,7,11,13,15,17,27,33,39,41,49,55,69
71,79,83,87,89		 1 2 3 Substitution
5.7 7,9,15,20,35,39,40,46,47,49,53,59,68 1 2 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 1 2 3 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
 1 2 3 4 Integration by Parts
7.2 1,2,3,5,9,15,17,23,24,29,33,35,41,43,44,45
47,51,53,57,59		 1 2 3 4 5 6 Trigonometric Integrals
Midterm 1 Tues, Feb 5
6-7:50pm
7.3 1, 3,6,7,8,11,13a,15,17,19,23,25,29,37,39(yuk),
43,44,45,46,55
 2 3 3 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 2 3 Partial Fractions
7.6 1,2,5,11,13,17,21,25,27,31,33,37,41,43,55
61,63,67,69		 1 2 Improper Integrals
7.7 1,2,3,5,11,13,14,23
 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 1 2 Center of Mass
8.4 TBA (not on Midterm 2) Taylor Polynomials
Review 1) Integration review worksheet
2) Improper Integrals, Arclength, Surface
    Area and Center of Mass		 Review_1
Review_2

Midterm 2
Tues, Mar 5
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		 1 2 3
4		 Sequences
10.2 1,11,13,17,18,21,23,25,29,31,37 1 2 3
4 5		 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		 1 2 3  Series Convergence
10.4 3,5,6,7,9 (n>(log n)^2),12,13,19,22,23,24,27 1 2 3 4 Abs. & Cond. Convergence
10.5 1,3,5,6,9,13,17,19,27,29,31,36,37,39,41,43-48
 1 2  Ratio/Root tests
10.6 1,3,5,7,9,12,15,19,21,23,29,33,35,41,45,49 1 2 3  Power series
10.7 1,3-15(odd),19,21,27,31-34,41,67,81,83 1 2 3 4 5 Taylor series
Review
 Review: Series Convergence tests
Review: Medium/Hard difficulty problems
Review: True/False questions		 1 2
1  1Soln
1
Midterm 3
Tues, April 9
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 1 2  Arclength, speed
11.3 3,5,11,13,15,17-20,24,37 1 2 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
Tues, April 30
6-7:50











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                                                 Midterm 1:  (Tuesday 2/5 @ 6-7:50pm)
                                                          

Summary Points:
 . Approximately half the exam
will be straight up integration problems. Application problems from sections 6.1-6.5 below will form the balance.
 . About half the exam will be homework problems or extremely close to homework problems.
 . You should be able to do the exam in 60min but will have 1hr and 50min
 . The formula sheet below will
be attached to the exam.
 . Generally speaking the HW is a very good guide to the kinds of problems on the test.
 
Textbook Sections Topic Exceptions/remarks:
5.6
 Substitution Method
5.7 Inverse Trig. Integrals exam problems from this section will have integrals whose value involves only arcsin(u) and arctan(u). i.e., not arcsec(u), etc.
7.1 Integration by parts
7.2 Trigonometric Integrals You don't need nor should you use
reduction formula in the text such
as pg 406 #1,#2 or pg 410 #11-#14.
Instead use the trig identities on the sheet listed below and the identities

sin^2 (x) + cos^2(x) =1
tan^2(x) +1 = sec^2(x)
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 or like homework



                                                     Formula Sheet that will be attached to Midterm:
Midterm 2 Formula Sheet
















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                                                      Midterm 2:  (Tuesday 3/5 @ 6-7:50pm)
                                                                                                                       
(Exam content below will be finalized a week before the exam) 
Summary Points:
 . TBA
 . TBA
 . You should be able to do the exam in 60min but will have 1hr and 50min
 . The formula sheet below will be attached to the exam: 
  
  
 
  
Textbook Sections Topic Exceptions/remarks:
7.1 Integration by parts (from last exam)
7.2 Trigonometric Integrals (from last exam)
7.3 Trigonometric Substitutions
7.4 Hyperbolic substitutions
7.5 Partial Fraction methods Integrands rational:  f(x)=P(x)/Q(x)
All quadratic Q(x) and easily factored cubics Q(x) are only cases on exam.
7.6 Improper Integrals Comparison Theorem too!
7.7 Probability
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:      
 

TBA




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Midterm 3:  (Tuesday 4/9 @ 6-7:50pm)

        (Exam content below will be finalized a week before the exam)            
                         

Summary Points:
 . TBA
 . There will be a 10 point T/F question like these.
 . You should be able to do the exam in 60min but will have 1hr and 50min
 . The formula sheet below will be attached to the exam: 
   
  
   
 
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 Power Series Radius and intervals of convergence
10.6 Taylor Series Definition, Maclaurin series, Shortcut methods, Binomial Series




                 
  Formula Sheet that will be attached to Midterm:      


Midterm 3 Formula Sheet

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Final:  Tues 4/30, 6-7:50pm

(Exam content below will be finalized a week before the exam)



Summary Points:
 . TBA
 . TBA
 . TBA
  
 
11.1 Parametric Equations Line slopes, conversions
11.2 Arc Length and Speed Surface area too
11.3 Polar Coordinates Conversions
11.4 Polar Area  and arclength
Balance TBA
























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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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View Text-only Version Text-only Updated: 12/29/2012
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