Fond du Lac Tribal & Community College 2101 14th Street Cloquet, Minnesota 55720 Office: W217 Phone: 218-879-0840 Email: ted@fdltcc.edu Spring 2025 Class Schedule: Time Days Room Course 9:00-10:15 M_W__ 228 Math 1030 10:30-11:20 M_W__ 228 Math 0025 12:30- 1:45 M_W__ 227 Csci 1020 2:00- 3:15 M_W__ 228 Math 1010 asynchronous Zoom Math 2001 Office Hours in Room W217 and Zoom: Monday Tuesday Wednesday Thursday Friday 11:30-12:20 8-11 11:30-12:20 -------- ------
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.
This syllabus will show what is happening each day through the course.
All class materials will be on D2L: handouts, homework, and exams as PDF documents.
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. The library has copies on reserve which can be checked out for the semester.
This textbook is clear and highly polished. I recommend reading each section closely before doing homework sets, and 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. 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, that will be fine.
This is software like Mathematica and Maple which can do symbolic algebra, graphing, and many other mathematical things. 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. We may later use a CoCalc notebook for this class as available from: https://cocalc.com/
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.
4 tests 4x100 = 400
1 final 200
50 homework 2x50 = 100
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700 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.
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 assignment (about 50 of them) 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.
Mon jan13 1 p1 reals H1 (in D2L under Assessments : Assignments) Tue jan14 2 p2 plane, increments H2 Wed jan15 3 p3 functions H3 Thu jan16 4 p4 graphing H4 Fri jan17 5 p5 trig defs H5 Mon jan20 H Tue jan21 6 p5 trig graphs Wed jan22 7 p5 trig identities Thu jan23 8 1.1 rates of change Fri jan24 9 1.2 limits Mon jan27 10 1.3 formal limits Tue jan28 11 1.4 extension of limits Wed jan29 12 1.5 continuity Thu jan30 13 1.6 tangent lines Fri jan31 14 T1 Mon feb03 15 2.1 the derivative Tue feb04 16 2.2 differentiation Wed feb05 17 2.2 review, 2.3 rates of change (some applications) Thu feb06 18 2.4 trig derivatives Fri feb07 19 2.5 chain rule Mon feb10 20 2.5 Tue feb11 21 2.6 implicit diff Wed feb12 22 2.6 Thu feb13 23 2.7 related rates Fri feb14 24 T2 review Mon feb17 H Tue feb18 25 T2 Wed feb19 26 3.1 extreme values Thu feb20 27 3.2 mean value theorem Fri feb21 28 3.3 1st derivative test Mon feb24 29 3.4 graph with y' and y" Tue feb25 30 3.6 optimization Wed feb26 31 3.6 optimization Thu feb27 32 3.7 differentials and linearization Fri feb28 33 3.8 Newton's method Mon mar03 34 3.8 lab on Newton's method Tue mar04 35 3.5 infinite limits Wed mar05 36 T3 Thu mar06 37 4.1 indefinite integral Fri mar07 38 4.2 differential notation Spring Break Mon mar17 39 4.3 substitution Tue mar18 40 4.3 substitution Wed mar19 41 4.4 estimation with Riemann sums Thu mar20 42 4.5 Riemann sums Fri mar21 43 4.6 mean value theorem Mon mar24 44 4.7 fundamental theorem of calculus Tue mar25 45 4.8 sub in def integrals Wed mar26 46 4.9 numerical integration lab Thu mar27 47 5.1 area between curves Fri mar28 48 5.1 Mon mar31 49 5.2 volumes by slicing Tue apr01 50 5.3 solids of revolution Wed apr02 51 5.4 cylindrical shells Thu apr03 52 5.5 length of plane curves Fri apr04 53 5.7 moments and centers of mass Mon apr07 54 5.7 Tue apr08 55 5.8 Work Wed apr09 56 5.8 Thu apr10 57 5.9 fluid forces Fri apr11 58 5.9 T4 Mon apr14 59 6.1 6.2 natural log Tue apr15 60 6.3 exponential function Wed apr16 61 6.4 a^x and log_a(x) Thu apr17 62 -alt assignment- Fri apr18 63 -alt assignment- Mon apr21 64 6.5 growth and decay (last day to withdraw) Tue apr22 65 6.6 L-Hopital's rule Wed apr23 66 6.7 Relative Rates of Growth Thu apr24 67 6.8 inverse trig functions; 6.9 derivatives Fri apr25 68 6.8 Mon apr28 69 6.10 hyperbolic trig functions Tue apr29 70 6.11 separable differential equations Wed apr30 71 6.11 1st order differential equations Thu may01 72 6.12 applications Fri may02 73 6.12 Euler's shooting methods Mon may05 74 6.12 Euler's method (+ improvements) Tue may06 75 Review for Final Wed may07 T1 Final (posted online) Thu may08 T2 Final due Fri may09 NC Mon may12 T3 Tue may13 T4