ma161: Calculus I - f26

Daniel Rowe
darowe{at}nmu{dot}edu

I'm an associate professor of mathematics in the Mathematics and Computer Science Department at Northern Michgan University. I've been a mathematics professor for eleven years, and I am very passionate about the praxis of doing mathematics and teaching it. I grew up on a fishing camp in Northwestern Ontario, Canada.

• Office Hours
• TBA
• JXJ 2228
• zoom link - passcode 809390
• read our course materials
• study all posted solutions
• re-watch the recorded lectures
• math tutor lab

• hybrid-flexible, in-person, and over zoom
• strive for in-person attendance
• avoid becoming reliant on zoom and recordings
• use them for extenuating circumstances only
• engagement is vital to learning mathematics (or anything)
• I don't take daily attendance, but...
• overall attendance is 5% of your grade

• (20%) Homework
• (5%) Collaborative In-Class Quizzes
• (30%) Tests
• (40%) Final Exam
• (5%) Attendance

This course is an introduction to the basic notions of calculus. The overall goal is to understand the fundamental theorem of calculus, a beautiful interplay between the notions of derivative (i.e. the instantaneous rate of change) of a function, and the integral (i.e. the relative accumulation) of a function. Each of the topics leading up to and including the fundamental theorem of calculus will be explored in detail, including their variety of applications in real-world problems. By the end of the class, students will be comfortable making calculations with, and applying:

• functions of a single variable: including trig, arctrig, exponential, logarithmic
• the limit of function at a point
• derivatives and antiderivatives of functions using all the standard rules
• integrals of functions
• the fundamental theorem of calculus

• the instructor's job is to ensure the course content is relevant, impactful, clear, organized, and interesting


• your job is to attend as many classes as you can, engage your mind, ask questions, read, and budget (at least) 2-3 focused hours every week to work on the course content

In the spirit of academic honesty, credit for this section is due to Asher Auel, as this is an adapted form of their discussion of academic honesty in mathematics.

• Working with others on mathematics, and using electronic resources is both highly encouraged and fun. You may work with anyone (e.g. classmates, non-classmates, tutors, etc.) If this is done well, you'll learn more effectively and efficiently.
  
  Here's the fundamental rule:

  Work with anyone or anything to develop your own personal understanding of the ideas required to solve your homework problem, but always write-up the final draft by yourself and in your own words.

• Writing up the final draft is just as important as figuring out the problems on scratch paper with your friends, using the internet, ChatGPT, etc. If you work with people, or use electronic resources on a particular homework:

You must list your collaborators and electronic sources at the top of the very first page. This makes the process completely transparent and honest.

A Note About Copying Mathematics

Mathematical writing is idiosyncratic; if your assignments are copied, it is quite easy to tell. You will not learn by copying solutions from others, or from external sources such as internet forums (e.g. math.stackexchange) and generative AI (e.g. ChatGPT). Regarding internet forums, you are free to look at them and use any understanding you've gained from them. Be warned that internet forums often contain incorrect or circuitous solutions, misleading discussions, use of techniques outside of the course material, and other material that may be detrimental to your learning process. Even the time that it takes to repeatedly search for solutions and read through dozens of forum posts could be better spent learning the material on your own or composing a question to the instructor or classmate. Regarding generative AI (e.g. ChatGPT), you are free to experiment with asking questions, but be warned that these systems are currently still very bad at deductive reasoning, and that the output may contain a mix of correct, incorrect, and unverified statements. Ask them to prove something false, they will work hard to do so, often giving contradictory answers. Therefore, I would be very careful with using these tools as learning resources on your own.

Punishments

In this modern world of online resources, cheating, copying, copy-and-pasting, ChatGPT, etc.; it is now more important than ever that citizens develop the intelligence to use their own brain to solve problems. I want my classes to be a postive force in this regard, by promoting the principles of academic honesty, and punishing those who disrespect those principles. The first infraction will result in a 0% on the entire assigment and a stern warning. If there is a second infraction, I will pursue sanctions through the Dean of Students office.

If you have a need for disability-related accommodations or services, please inform the Coordinators of Disability Services in the Dean of Students Office at 2001 C. B. Hedgcock Building (906-227-1737 or disability@nmu.edu). Reasonable and effective accommodations and services will be provided to students if requests are made in a timely manner, with appropriate documentation, in accordance with federal, state, and University guidelines.

• here are my hand-written calculus notes
• the following are good, free, open calculus textbooks:
• Calculus: Volume 1, OpenStax, 2016.
• Calculus, Gilbert Strang, Wellesley-Cambridge Press, 1991.
• check out these practice problems and their solutions.

• hw1
• hw2
• hw3
• hw4
• hw5
• hw6


• quiz1
• quiz2
• quiz3


• test1
• test2


• final_exam

• all tests and final exam will be traditional hand-written exams


• everything else must be submitted on-time as a SINGLE .PDF file to a shared google folder titled f26_ma521_lastname_firstname in an organized manner, for example hw1_Jane_Smith.pdf, etc.


• don't submit homework via email attachment
• always show your work and keep it organized
• circle or highlight your answers, if appropriate
• keep the questions in the correct order