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 & applications, integration & 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
Fond du Lac Tribal & Community College 2101 14th Street Cloquet, Minnesota 55720 Office: W217 Phone: 218-879-0840 Email: ted@fdltcc.edu Spring 2026 Class Schedule: Time Days Room Course 8:00- 8:50 M_W__ W217 Office Hour (Zoom ID and passcode on D2L) 9:00-10:15 M_W__ 228 Math 1030 10:30-11:20 M_W__ 228 Math 0025 12:00- 1:00 M_W__ W217 Csci 1010 1:00- 2:00 M_W__ W217 Office Hour (Zoom ID and passcode on D2L) 2:15- 3:30 M_W__ 228 Math 1010 asynchronous D2L Math 2001
Office Hours in Room W217: Mon Tues Wed Thurs Fri 8-9 ---- 8-9 ----- --- (Zoom ID and passcode on D2L) 1-2 ---- 1-2 ----- --- (Zoom ID and passcode on D2L)
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.
All class materials will be on D2L: this syllabus, handouts, homework, and exams as PDF documents.
Calculus, by Thomas & Finney; pub Addison Wesley
9th ed.: ISBN 0201531747
or
Alternate ed.: ISBN 0-321-19363-6
(These two editions are page-for-page identical.)
(1) This textbook is in the FDLTCC bookstore at a modest price.
(2) The library has copies on reserve which can be checked out for the semester.
(3) 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.
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.
This free online function grapher is better than any graphing calculator one can buy.
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.
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
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.
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.
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
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.
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.
Option 1: 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.One cannot avoid AI completely these days. AI is pushed at everyone by search engines and ordinary applications such as a word processor-- and pushed very hard too! Rather, do not use AI to solve any math problems you present as your work. This is your essential skill to develop in this course: solving problems.
Consider! You can play music recordings, hear people speak, read books, play video football, and take pictures with a camera, but that alone does not make you a musician, a compelling speaker, a writer, an athlete, or a painter. You have to do it yourself on your own to really know it well.