Calculus 1 - Spring 2024

Instructor: Ted Wetherbee

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

Office: W217
Phone: 218-879-0840

Spring 2024 Class Schedule:
   8:00- 8:45   MTWHF  Calculus 1       Room 256
   9:00-9:45    ____F  Calculus 2       W217
  10:15-11:00   _T_H_  Calculus 2       W217
  10:30-11:45   M_W__  College Algebra  Room 228
  12:00- 1:15   M_W__  Programming      Room 227
   6:00- 8:45pm __W__  Statistics       Room 256

Office Hours in Room W217:
  Monday   Tuesday  Wednesday  Thursday  Friday
  9am      9am      9am        9am      

Course Website:

All materials handed out in class will be on D2L.


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 -Calculus 1 - Spring 2024

Mon jan08  1 p1 reals                
Tue jan09  2 p2 plane, increments    
Wed jan10  3 p3 functions            
Thu jan11  4 p4 graphing             
Fri jan12  5 p5 trig defs            

Mon jan15  H 
Tue jan16  6 p5 trig graphs          
Wed jan17  7 p5 trig identities         
Thu jan18  8 1.1 rates of change     
Fri jan19  9 1.2 limits              

Mon jan22 10 1.3 formal limits       
Tue jan23 11 1.4 extension of limits 
Wed jan24 12 1.5 continuity          
Thu jan25 13 1.6 tangent lines       
Fri jan26 14 T1

Mon jan29 15 2.1 the derivative      
Tue jan30 16 2.2 differentiation     
Wed jan31 17 2.2 review, 2.3 rates of change (some applications)
Thu feb01 18 2.4 trig derivatives    
Fri feb02 19 2.5 chain rule          

Mon feb05 20 2.5 
Tue feb06 21 2.6 implicit diff
Wed feb07 22 2.6        
Thu feb08 23 2.7 related rates      
Fri feb09 24 T2  review 

Mon feb12 25 T2 
Tue feb13 26 3.1 extreme values       
Wed feb14 27 3.2 mean value theorem   
Thu feb15 28 3.3 1st derivative test  
Fri feb16 29 3.4 graph with y' and y" 

Mon feb19 H  
Tue feb20 30 3.6 optimization   							
Wed feb21 31 3.6 optimization 
Thu feb22 32 3.7 differentials and linearization   
Fri feb23 33 3.8 Newton's method                   

Mon feb26 34 3.8 lab on Newton's method            
Tue feb27 35 3.5 infinite limits                   
Wed feb28 36 T3
Thu feb29 37 4.1 indefinite integral               
Fri mar01 38 4.2 differential notation             

Mon mar04 39 4.3 substitution                      
Tue mar05 40 4.3 substitution
Wed mar06 41 4.4 estimation with Riemann sums      
Thu mar07 42 4.5 Riemann sums                      
Fri mar08 43 4.6 mean value theorem                

Spring break

Mon mar18 44 4.7 fundamental theorem of calculus   
Tue mar19 45 4.8 sub in def integrals              
Wed mar20 46 4.9 numerical integration lab         
Thu mar21 47 5.1 area between curves               
Fri mar22 48 5.1

Mon mar25 49 5.2 volumes by slicing           
Tue mar26 50 5.3 solids of revolution         
Wed mar27 51 5.4 cylindrical shells           
Thu mar28 52 5.5 length of plane curves       
Fri mar29 53 5.7 moments and centers of mass  

Mon apr01 54 5.7
Tue apr02 55 5.8 Work          
Wed apr03 56 5.8
Thu apr04 57 5.9 fluid forces  
Fri apr05 58 5.9 T4

Mon apr08 59 6.1 6.2 natural log
Tue apr09 60 6.3 exponential function
Wed apr10 61 6.4 6.4 a^x and log_a(x)   (last day to withdraw from classes)
Thu apr11 62  -alt assignment-
Fri apr12 63  -alt assignment-

Mon apr15 64 6.5 growth and decay                         
Tue apr16 65 6.6 L-Hopital's rule                         
Wed apr17 66 6.7 Relative Rates of Growth                 
Thu apr18 67 6.8 inverse trig functions; 6.9 derivatives  
Fri apr19 68 6.8

Mon apr22 69 6.10 hyperbolic trig functions         
Tue apr23 70 6.11 separable differential equations  
Wed apr24 71 6.11 1st order differential equations
Thu apr25 72 6.12 applications
Fri apr26 73 6.12 Euler's shooting methods

# example 2 p.543,
x,y = var('x,y')
f(x,y) = 1.0 + y
N = 10
y = 1.0 # start
x = 0.0 # start
b = 1.0 # end
dx = (b-x)/N
for i in range(1,N+1):
    y = y + f(x,y)*dx
    x = x + dx

Mon apr29 74 6.12 Euler's method (+ improvements)
Tue apr30 75 Review for Final
Wed may01 T1 (11-12:50 Room 227 : Intro. to Programming in Python)
Thu may02 T2 
Fri may03 T3 

Mon may06 T4   8- 9:50am Room 256 : Calculus 1   
             (10-11:55am Room 228 : College Algebra)            
Tue may07  
Wed may08 
Thu may09 H  FDL Memorial Day
Fri may10

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
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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
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