Fond du Lac Tribal and Community College

2101 14th Street, Cloquet, Minnesota 55720

Calculus 1 (Math2001-01) - Spring 2026

Course Description

The two-semester calculus sequence is designed for mathematics, computer science, engineering, and natural sciences majors. An introduction to basic differential and integral calculus: limits, derivatives and applications, integration and applications.

Credits

5

Prerequisites

MATH 1010 College Algebra and MATH 1015 Trigonometry OR placement by Multiple Measures OR instructor permission.

MEETS THE FOLLOWING MNTC GOAL AREAS

Goal 4: Mathematical/Logical Reasoning

COURSE MEETING DAYS/TIME

Online Asynchronous

MEETING DATES

January 12 - May 12

DELIVERY METHODOLOGY

Asynchronous Online

CLASSROOM LOCATION

Online

Instructor

Instructor Spring 2026 Class Schedule

Instructor Office Hours: Live (Room 217) and Zoom (ID on D2L)

Instructor Notes:

I'll put the Zoom ID and passcode under D2L class announcements and in email. These are general open office hours for all my classes.

Email me questions anytime. Note that this is an asynchronous class, meaning you can do and submit work anytime, but I'm not available at all times. I will try to answer email and check homework everyday.

Check your email, and check class announcements on D2L. Pop in during office hours, live or using Zoom.

D2L

https://fdltcc.learn.minnstate.edu/d2l/login

All class materials will be on D2L: this syllabus, handouts, homework, and exams as PDF documents.

Textbook

These two editions are page-for-page identical.

This textbook is in the FDLTCC bookstore at a modest price.

The library has copies on reserve which can be checked out for the semester.

You can usually find used copies online at very reasonable prices. Search using the ISBN numbers above.

This textbook is clear and highly polished. I recommend reading each section closely before doing homework sets. The reading is not long. Usually, each section works out key example problems in the way that you can use for homework problems.

Calculator

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 or a TI-36X Pro. These do what you need, and the FDLTCC bookstore sells at least one of them for under $20 . You need to have it available for all assignments. You do not need a more expensive graphing calculator, but, if you have one, that will be fine.

Graphing

Desmos.com

This free online function grapher is better than any graphing calculator one can buy.

SageMath

SageCell.SageMath.org

This is software like Mathematica and Maple which can do symbolic algebra, graphing, and many other mathematical things. SageMath is free.

This is not a programming course, yet we will do a bit of programming in Python for some computational sections. SageMath is simply interactive Python with some special features added for mathematics.

Cell Phones and other Personal Electronic Devices (PEDs)

These days we have to have these for some things, but one can survive without them for at least a few hours. Do not use PEDs for tests; use a calculator as above. Do not use AI to do homework.

COURSE INFORMATION: ATTENDANCE/PARTICIPATION REQUIREMENTS:

You should view each video and work through the textbook section. The tentative schedule sets a good pace for your studies. Complete the tests, visits, and homework assignments.

Exams and Grading

4 tests     4x100 = 400
5 visits    5x20 =  100   1 by email; 4 Zoom (ID and passcode on D2L)
1 final             200
50 homework 2x50 =  100
-----------------------
                    800 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.

The tentative schedule below shows 75 class days for this online class. This is an asynchronous class, yet this schedule is a nice sequence and pace for your study and work. I'll post homework, materials, and tests labeled by day (1-75) according to this schedule yet somewhat ahead.

You are required to communicate and visit with me directly at least 5 times: once by email before test 1, and 4 times by Zoom after each test 1, 2, 3, and 4. I'll have Zoom on during office hours Monday and Wednesday 8-8:50am and 1-2pm. Zoom visits do not have to be long, and this is during open office hours which anyone can join by Zoom or by walking into my office, hence not private. I'll ask a question on the test material as if we were in a live class, and we can have a brief chat about the course. These are not oral exams! These are meetings. If those office hours on those days don't fit, we will find a day and time that does for these brief visits. 5 minutes will do. Beyond that, do email me anytime and drop by using Zoom during office hours with questions.

You are required to do homework and tests on your own efforts without using other people or AI.

Assessments

Under D2L, you can get homework and tests under Assessments--Assignments, then put your results in the dropbox. I recommend that you print homework and exam documents to paper, do your work on that paper, scan or take phone/camera snapshots of those papers (nice ones that I can easily read), assemble a PDF document in usual 8.5x11" format, then put that document in the dropbox. Some people scan papers to a PDF document. Other people paste snapshots of images to a Word document then print it out as PDF.

Show your work on all your papers! Answers alone are not enough! Do not rewrite and tidy up your work for me, just leave it all there. Please make sure I can read it though. Also, if you choose to do homework on your own paper, label the paper, say "Homework 12", number each problem, and show enough of the problem statements from the homework sheet so that I can understand what you did from just looking at your PDF submitted.

The key to success on exams is doing the homework. (Exam problems will be very similar.) I recommend doing each homework assignments as they are posted.

It may have been some time since you last worked on algebra problems, perhaps longer for trigonometry problems and key facts. Fine. Take these first few weeks--and 7 homework assignments--as a time to refresh. For what is not needed, there is very little matrix algebra in calculus 1 (or calculus 2 or 3), and complex numbers rarely arise. This is calculus of real variables. The trigonometry and facts in section p5 are enough to start. The text brings up more trigonometry when needed (section 6.8 on inverse trig functions.) Exponential and logarithmic functions and facts are re-introduced from scratch in chapter 6.

Homework problems are uneven in difficulty. This is intentional. The first problems and most of a set are more straightforward; you can use worked examples in the corresponding textbook section as a guide, and I'll work similar examples out in the videos. You may find later problems in a set more difficult. If there are some you can't work out, turn in what you have done and ask on those few remaining problems.

Calculus problems more readily incorporate real scientific and engineering applications. We will use applications quite a bit.

I'll post a video with each assignment and test. I make these in my office from a recorded Zoom session. These are about what I would do in a live class meeting 5 days a week: theory or technique, then some examples worked out. I'm using the notation and order of your textbook, so you can always refer to your textbook as a guide for homework problems. I may use recorded sessions from a previous class.

Tentative Schedule - Calculus 1 - Spring 2026

Mon jan12  1 p1 reals             H1 (in D2L under Assessments : Assignments)       
Tue jan13  2 p2 plane, increments H2    
Wed jan14  3 p3 functions         H3
Thu jan15  4 p4 graphing          H4 
Fri jan16  5 p5 trig defs         H5 

Mon jan19  H 
Tue jan20  6 p5 trig graphs           H6
Wed jan21  7 p5 trig identities       H7 
Thu jan22  8 1.1 rates of change      H8
Fri jan23  9 1.2 limits               H9

Mon jan26 10 1.3 formal limits        H10
Tue jan27 11 1.4 extension of limits  H11
Wed jan28 12 1.5 continuity           H12
Thu jan29 13 1.6 tangent lines        H13
Fri jan30 14 T1

Mon feb02 15 2.1 the derivative       H14
Tue feb03 16 2.2 differentiation      H15
Wed feb04 17 2.2 review, 2.3 rates of change (some applications)
Thu feb05 18 2.4 trig derivatives     H16
Fri feb06 19 2.5 chain rule           H17

Mon feb09 20 2.5 
Tue feb10 21 2.6 implicit diff        H18
Wed feb11 22 2.6        
Thu feb12 23 2.7 related rates        H19
Fri feb13 24 T2  review 

Mon feb16  H
Tue feb17 25 T2      
Wed feb18 26 3.1 extreme values        H20
Thu feb19 27 3.2 mean value theorem    H21
Fri feb20 28 3.3 1st derivative test   H22

Mon feb23 29 3.4 graph with y' and y"  H23
Tue feb24 30 3.6 optimization   	   H24				
Wed feb25 31 3.6 optimization 
Thu feb26 32 3.7 differentials and linearization  H25   
Fri feb27 33 3.8 Newton's method                  H26

Mon mar02 34 3.8 lab on Newton's method           H27
Tue mar03 35 3.5 infinite limits                  H28 
Wed mar04 36 T3
Thu mar05 37 4.1 indefinite integral              H29   
Fri mar06 38 4.2 differential notation            H30

Spring Break

Mon mar16 39 4.3 substitution                     H31  
Tue mar17 40 4.3 substitution
Wed mar18 41 4.4 estimation with Riemann sums     H32
Thu mar19 42 4.5 Riemann sums                     H33 
Fri mar20 43 4.6 mean value theorem                

Mon mar23 44 4.7 fundamental theorem of calculus  H34
Tue mar24 45 4.8 sub in def integrals             H35
Wed mar25 46 4.9 numerical integration lab        H36
Thu mar26 47 5.1 area between curves              H37
Fri mar27 48 5.1

Mon mar30 49 5.2 volumes by slicing          H38
Tue mar31 50 5.3 solids of revolution        H39
Wed apr01 51 5.4 cylindrical shells           
Thu apr02 52 5.5 length of plane curves      H40
Fri apr03 53 5.7 moments and centers of mass H41

Mon apr06 54 5.7
Tue apr07 55 5.8 Work          H42       
Wed apr08 56 5.8
Thu apr09 57 5.9 fluid forces  H43
Fri apr10 58 5.9 T4

Mon apr13 59 6.1 6.2 natural log       H44
Tue apr14 60 6.3 exponential function  H45
Wed apr15 61 6.4 a^x and log_a(x)      H46
Thu apr16 62  -alt assignment-
Fri apr17 63  -alt assignment-

Mon apr20 64 6.5 growth and decay (last day to withdraw)  H47
Tue apr21 65 6.6 L-Hopital's rule                         H48
Wed apr22 66 6.7 Relative Rates of Growth                 
Thu apr23 67 6.8 inverse trig functions; 6.9 derivatives  H49
Fri apr24 68 6.8

Mon apr27 69 6.10 hyperbolic trig functions               H50
Tue apr28 70 6.11 separable differential equations        H51
Wed apr29 71 6.11 1st order differential equations        H52
Thu apr30 72 6.12 applications
Fri may01 73 6.12 Euler's shooting methods         H53

Mon may04 74 6.12 Euler's method (+ improvements)  H54
Tue may05 75 Review for Final
Wed may06 T1 Final (posted online)
Thu may07 T2 Final due
Fri may08 NC 

Mon may11 T3             
Tue may12 T4  

FDLTCC Course General

LEARNING GOALS and OUTCOMES
(This information can be found in the Master Course Outline)

At FDLTCC we have 4 Competencies Across the Curriculum (CAC) areas. They are as follows:

A. Information Literacy (the ability to use print and/or non-print tools 
   effectively for the discovery, acquisition, and evaluation of information.)
B. Ability to Communicate (the ability to listen, read, comprehend, and/or 
   deliver information in a variety of formats.)
C. Problem Solving (the ability to conceptualize, apply, analyze, synthesize, 
   and/or evaluate information to formulate and solve problems.)
D. Culture (knowledge of Anishinaabe traditions and culture, knowledge 
   of one’s own traditions and culture, knowledge of others’ traditions 
   and cultures, culture of work, culture of academic disciplines and/or 
   respect for global diversity.)

Upon completion of this course, the student will be able to:
Learning Outcomes                Competencies (CAC)  Cultural Standards
1. Solve applied problems        C                   1,4,5
   using properties of the
   derivative to find the
   maximum and minimum of 
   functions.   
2. Solve geometric               C
   problems of curve length,
   or volume.
3. Solve a separable or first    C
   order differential equation.
4. Employ numerical              C
   methods for integration.

WINHEC Cultural Standards:
1. GIKENDAASOWIN – Knowing knowledge: To develop human beings who value 
   knowledge, learning, and critical thinking and are able to effectively 
   use the language, knowledge, and skills central to an 
   Ojibwe-Anishinaabe way of knowing.
2. GWAYAKWAADIZIWIN – Living a balanced way: To develop balanced human 
   beings who are reflective, informed learners who understand the 
   interrelatedness of human society and the natural environment, 
   recognize the importance of living in harmony with creation, and 
   are able to apply a systems approach to understanding and deciding 
   on a course of action.
3. ZOONGIDE'EWIN – Strong hearted: To increase the students’ capacity 
   to live and walk with a strong heart, humble and open to new ideas 
   and courageous enough to confront the accepted truths of history and society.
4. AANGWAAMIZIWIN – Diligence and caution: To develop students’ capacity 
   to proceed carefully, after identifying, discussing, and reflecting 
   on the logical and ethical dimensions of political, social, and 
   personal life.
5. DEBWEWIN – Honesty and integrity: To increase students’ capacity to 
   think and act with honesty and integrity as they understand and face 
   the realities of increasingly interdependent nations and people.
6. ZAAGI' IDIWIN – Loving and Caring: To encourage students' acceptance 
   of the diversity within their school, community, and environment by 
   developing healthy, caring relationships built on respect for all.
7. ZHAWENINDIWIN – Compassion: To expand students' knowledge of the 
   human condition and human cultures and the importance of compassion 
   especially in relation to behavior, ideas, and values expressed in 
   the works of human imagination and thought.

Academic Honesty and Integrity

The primary academic mission of Fond du Lac Tribal and Community College is the exploration and dissemination of knowledge. Academic honesty and integrity are integral to the academic process. Academic dishonesty, cheating, plagiarism, and collusion are serious offenses which undermine the educational process and the learning experience for the entire college community.

Fond du Lac Tribal and Community College students are expected to understand and adhere to the concept of academic integrity and to the standards of conduct prescribed by the college’s policy on Academic Honesty. Students are expected to assume responsibility for their work, and student materials submitted in fulfillment, of course, program, and college academic requirements must represent students’ own efforts. Any act of academic dishonesty attempted by a student at Fond du Lac Tribal and Community College is unacceptable and will not be tolerated.

Violations of academic integrity or other forms of misconduct may result in serious consequences. These can include receiving a failing grade ("F") for the course and may also lead to additional disciplinary actions as outlined by Fond du Lac Tribal and Community College and the Minnesota State system. For full details, please refer to the Student Code of Conduct Policy.

Accessibility Services Notice

Fond du Lac Tribal and Community College is committed to providing equitable access to learning opportunities for all students. The Minnesota Respond, Innovate, Succeed, and Empower (RISE) Act requires our college to clearly write the process and rights of each student in plain language making self-disclosure by a student with a sufficient disability to start the interactive process. The RISE Act still honors and follows the Federal Disabilities laws- ADA and Section 504 of the Rehabilitation Act. FDLTCC 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 must contact Trish Berger, our Accessibility Coordinator, to create an accommodation plan with reasonable accommodations. The student will decide which courses the accommodations will be used for and give permission for the instructors to receive the accommodations. The student will then have a discussion with the instructor to activate these accommodations. Students requiring accommodations must first complete an intake form and meet with Trish Berger, Accessibility Coordinator, to establish an accommodation plan. She can be reached at trish.berger@fdltcc.edu or 218-879-0864. For more information, please visit https://fdltcc.edu/student-support/accessibility-services/

Sexual Violence

Fond du Lac Tribal & Community College (FDLTCC) 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. FDLTCC 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: https://fdltcc.edu/admissions/about-us/policies-reports/campus-security-policies-reports/. Please be aware that all FDLTCC 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 Lori Driscoll, Executive Human Resources Officer at 218-878-0879/lori@fdltcc.edu or Jesse Stirewalt, Director of Housing and Student Activities at 218-590-3345/jstirewalt@fdltcc.edu.

Student Success—North Star Communication Platform

Student success is at the heart of what Fond du Lac Tribal and Community College staff, faculty and administration strive to achieve. To help support our students in their educational journeys, FDLTCC uses a communication platform called North Star. Students can raise their hands for support, set up appointments with staff and faculty, and communicate seamlessly with instructors. The college encourages ALL FDLTCC students to use the North Star webpage link to watch video tutorials and to log into the platform to start using its features. 

Use of Generative AI

No Use of Generative A.I. Allowed

Generative AI policies may differ from one course to another. In this course, the use of generative AI tools (ChatGPT, Copilot, Gemini, DALL-E, etc.) is prohibited for all assignments, exams, and projects in this course. All submitted work must be your own. Using generative AI at any stage of your work constitutes a violation of FDLTCC’s academic honesty policy.