Calculus 2 - Spring 2021 - MTWHF 8-8:50am - Room 228 (zoom)

Instructor: Ted Wetherbee

Fond du Lac Tribal & Community College
2101 14th Street
Cloquet, Minnesota 55720

Office: W217
Phone: 218-879-0840

Spring 2021 Class Schedule:
   8- 8:50am MTWHF  Calculus 2       Room 228 (zoom)
  10-10:50am M W F  College Algebra  Room 228 (zoom)
  11-11:50am MTWHF  Calculus 1       Room 188 (zoom)
   6- 8:45pm   W    Statistics       Room 228 (zoom)

Office Hours in Room W217: (zoom)
  Monday   Tuesday  Wednesday  Thursday  Friday
  9-10am   10-11am  9-10am     10-11am   9-10am

Course Syllabus:

Class materials will be online on D2L under Content. For easier recollection, you can find this course from this URL:

Zoom Class Meetings, Email, Videos

We are starting the semester with zoom classes and may continue using zoom through the semester. Install a zoom client on your computer with a microphone, speaker, and camera. There are zoom apps for iphone and android phones. Test zoom out between devices.

For zoom class sessions, login to D2L and note the zoom ID and password for zoom class meetings. These probably will not change for the course; I would let you know by email if there are changes.

Check your email daily! This is how I'll communicate with the entire class.

Some videos will be put online. You can check this one out to see how they play on your devices:


Make sure that you can view this. If you want to see closed captions (CC), they are in this video. Make sure that your video player can show CC if you want them.


Get to know your star ID and password for D2L and email, and check you email daily. Information will be online from D2L or on this website when you login to the course.


Calculus, by Thomas & Finney; pub Addison Wesley
9th: ISBN: 0201531747 , or
Alternate: ISBN 0-321-19363-6
(These two editions are page-for-page identical.)

This textbook is in the FDLTCC bookstore at a modest price.  You can also
usually find used copies online at very reasonable prices.


You may have a calculator already, but make sure that it is a scientific calculator. If you need to buy one, I recommend a cheap calculator like a TI-30XS Multiview. This does what you need, and the bookstore sells them for under $20 . If you have a problem getting one, let me know. You need to have it available for all assignments. You do not need a more expensive graphing calculator, but, if you have one, it will be fine.

SageMath: SageMathCell

This is software like Mathematica and Maple which can do symbolic algebra, graphing, and many other mathematical things, but SageMath is free. A jupyter notebook with SageMath should be available later in this course; in the meanwhile, SageMathCell from the link above works well.

Exams and Grading

4 tests     4x100 = 400
1 final             200
50 homework 2x50 =  100
                    700 total

90-100%   A
80-90%    B
70-80%    C
60-70%    D
0-60%     F

The Course

This course addresses FDLTCC liberal education requirements (Competencies Across the Curriculum) in problem solving and technology. You should come to class everyday! This is the easy way to do well in any course, and it is especially true for math classes. There are exercises in the text for you to do, and these are usually answered at the end of each chapter. You will also get homework assignments on handouts, and you should complete then hand these in at the beginning of the next class. You homework grade is based on completing and turning in these homework handouts. You will also get sample exams which will be similar in length and content to the in-class exams. Let me know if there is are accommodations you need for the class.

Tentative Schedule

Mon jan11  1 Review of Calculus 1: differentiation: rules, implicit      p1
Tue jan12  2 Review of Calculus 1: integration: indef, def, sub          p2
Wed jan13  3 Review of Calculus 1: using calculators, graphers       
Thu jan14  4 7.1 integration formulas     h1
Fri jan15  5 7.2 integration by parts     h2

Mon jan18  H Holiday
Tue jan19  6 7.2
Wed jan20  7 7.3 partial fractions   h3
Thu jan21  8 7.3
Fri jan22  9 7.4 trig substitutions  h4

Mon jan25 10 7.4
Tue jan26 11 7.5 tables and CAS      h5
Wed jan27 12 7.5                     h6
Thu jan28 13 7.6 improper integrals  h7
Fri jan29 14 7.6                     h8

Mon feb01 15 Review for T1
Tue feb02 16 T1
Wed feb03 17 8.1 limits of sequences              h9
Thu feb04 18 8.2 calculating limits of sequences  h10
Fri feb05 19 8.2                          

Mon feb08 20 8.3 infinite series        h11
Tue feb09 21 8.3
Wed feb10 22 8.4 integral test          h12
Thu feb11 23 8.5 comparison test        h13
Fri feb12 24 8.6 ratio and root tests   h14

Mon feb15  H Holiday
Tue feb16 25 8.7 alternating series     h15
Wed feb17 26 8.8 power series           h16
Thu feb18 27 8.8
Fri feb19 28 8.9 Taylor and Maclaurin series  h17

Mon feb22 29 8.9
Tue feb23 30 8.10 convergence of power series   h18
Wed feb24 31 8.11 applications of power series  h19
Thu feb25 32 8.11                               h20
Fri feb26 33 8.11

Mon mar01 34 Review for T2
Tue mar02 35 T2
Wed mar03 36 9.1 conic sections and quadratic equations      h21
Thu mar04 37 9.1
Fri mar05 38 9.2 classifying conic sections by eccentricity  h22

Mon mar08 39 9.3 quadratic equations and rotations  h23
Tue mar09 40 9.4 paramatrization of plane curves    h24
Wed mar10 41 9.6 polar coordinates                  h25
Thu mar11 42 9.6
Fri mar12 43 9.7 graphing in polar coordinates      h26

Spring break

Mon mar22 44 9.8 polar equations for conic sections h27
Tue mar23 45 9.9 integration in polar coordinates   h28
Wed mar24 46 9.9
Thu mar25 47 Review for T3
Fri mar26 48 T3

Mon mar29 49 10.1 vectors in the plane        h29
Tue mar30 50 10.1
Wed mar31 51 10.3 dot products                h30
Thu apr01 52 10.4 cross products              h31
Fri apr02 53 10.5 lines and planes in space   h32

Mon apr05 54 10.5
Tue apr06 55 10.7 cylindrical and spherical coordinates     h33
Wed apr07 56 11.1 vector-valued functions and space curves  h34
Thu apr08 57 11.1
Fri apr09 58 11.2 modeling projectile motion h35 = text problems: h35: 11.2 # 3, 4, 11

Mon apr12 59 11.3
Tue apr13 60 11.5 planetary motion and satellites  h36 : 11.3 # 4; 11.5 # 2
Wed apr14 61 11.5
Thu apr15 62 Review for T4
Fri apr16 63 T4

Mon apr19 64 12.1 functions of several variables  h37 : 12.1 #5, 7, 9, 25, 27, 30, 13-18 all (matching) :

# contour plots
x,y = var('x,y')
f(x,y) = x/y
contour_plot(f, (-6,6), (-6,6), fill=False, cmap='hsv', labels=True)

#3D interactive java applet surface graphs
x,y,z = var('x,y,z')

Tue apr20 65 12.3 partial derivatives             H38 : 12.3 # 1-45 alt. odds (can skip #21)
Wed apr21 66 12.3                                 H39 : 12.3 #63, 65, 67, 69
Thu apr22 67 12.4 differentiability, linearization, and differentials H40 : 12.4 # 3b, 23b, 25c
Fri apr23 68 12.4  (class discussion: total differentials, 12.4 #20 on parallel resistance

Mon apr26 69 12.5 chain rule H41 12.5 # 1,3,5,9,33,35,37
Tue apr27 70 12.5            H42 12.5 # 39
Wed apr28 71 12.7directional derivatives, gradient vectors, tangential planes H43 12.7 # 3, 5, 9, 13
Thu apr29 72 12.8 
Fri apr30 73 12.8 extreme values and saddle points

Mon may03 74 12.8
Tue may04 75 Review for Final
Wed may05 T1 
Thu may06 T2 (Math2001 Final Exam 8-9:50am Room 228)
             (Math1010 Final Exam 10-11:50am Room 228)
Fri may07 T3 Math2001 Final Exam 11am-12:50pm Room 188

Mon may10 NC FDL memorial Day                    
Tue may11 T4 
Wed may12 NC
Thu may13 NC Commencement
Fri may14

Important Dates: Spring 2021
Mid-term Grade Reporting: March 1st – March 5th, 2021
Academic Progress Reporting: February 15th - 19th and April 5th - 9th, 2021
Last Day to Withdraw (from full-semester courses): April 14th, 2021
Summer and Fall 2021 Registration begins: March 15th, 2021

Plagiarism, or presenting the writing of another as your own (a.k.a. “copying”), results in an F for this course and is subject to any other disciplinary actions mandated by this institution and the Minnesota State system.

Disabilities Notice Fond du Lac Tribal & Community College is committed to providing equitable access to learning opportunities for all students. Under the Americans with Disabilities Act and Section 504 of the Rehab Act, Fond du Lac Tribal & Community College provides students with disabilities (e.g., mental health, attentional, learning, chronic health, sensory or physical) reasonable accommodation to participate in educational programs, activities or services. Students with disabilities requiring accommodation to participate in class activities or meet course requirements should first complete an intake form and necessary requirements with Nancy Olsen, Disability Services coordinator, to establish an accommodation plan. She can be reached at or 218-879-0819.

Sexual Violence
Fond du Lac Tribal & Community College is committed to providing an environment free of all forms of discrimination and sexual harassment, including sexual assault, domestic and dating violence, gender or sex-based bullying and stalking. If you or someone you know has experienced gender or sex-based violence (intimate partner violence, attempted or completed sexual assault, harassment, coercion, stalking, etc.), know that you are not alone. Fond du Lac Tribal & Community College has staff members trained to support survivors in navigating campus life, accessing resources, providing accommodations, assistance completing with protective orders and advocacy. For more information regarding the Campus Security Report, the following link will give you a report on the Clery Compliance and Security Report at FDLTCC:

Please be aware that all Fond du Lac Tribal & Community College employees are required to report any incidents of sexual violence and, therefore it cannot guarantee the confidentiality of a report, but it will consider a request for confidentiality and respect it to the fullest extent possible. If you wish to report sexual misconduct or have questions about school policies and procedures regarding sexual misconduct, please contact Anita Hanson, Dean of Student Services, at 218-879-0805 or
Content is neither approved nor reviewed by FDLTCC.