| 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:
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 |
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| |
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| 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 |
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| 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!
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| 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 |
| |
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|
| 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
|
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| 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
1 1Soln
1 |
|
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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 |
|
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|
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| 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 |
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 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:
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. |
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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