Math 1512 Spring 2023 - Calculus I - All sections

Instructors: Kevin Burns, Adeline Kornelus, Derek Martinez, Karen Champine, Patrick Denne, Daniel Havens.
All classes meet in person. Follow UNMs guidelines regarding COVID-19.

Course Topics: Limits, derivatives, integrals, and applications. Here are the student learning outcomes.

Prerequisite: Precalculus and Trigonometry (Math 1230 and 1240, or Math 1250). See here for review problems and more.

Textbook: Calculus, Stewart, 9th edition. You need a copy of the book, electronic or hardcopy, as you prefer. No supplementary materials are needed.

UNM Canvas: All course materials, communication, and grades will be posted on our Canvas coursesite.

Grading: The course grade will be determined from weekly homework, quizzes, 4 mid-semester exams, and a final exam. Attendance and participation in all aspects of the course is required. Therefore, you need at least 50% in your total Homework score to pass the class.
Note that inconsistent attendance and homework can lead to instructor-drop (see Attendance).

Homework: Weekly homework sets are due on the posted due date, by 11:59pm, to be submitted through Canvas (pdf files only please, no jpg or png images).
You need to work on these problems on a daily basis. Please note that UNM requires a minimum of two hours work outside of class for each credit hour, and this is a 4-credit course. Plan on working 2 hours per lecture and an additional 2 hours each week to finalize the homework. The homework is set up to make it clear which problems to work on after each lecture.
Every student has two life happens opportunities to turn the homework in one day late, if needed, for most (not all!) homeworks.

Resources: There are several resources to help you succeed in this class. Please consider your instructor and your recitation TA your primary resource. Visit them during drop-in hours and at the Tutoring Center. NEW: updated tutor center hours here. Ask questions inside and outside of class, let us know what difficulties you are having. We want to hear from you and we want to help you succeed. Below is a list of all resources.

See below for Grade Mode Change and Academic Dishonesty.

MATLAB: To download MATLAB go to http://it.unm.edu/download/. It is also on the computers in the computer pods.
Useful links:
Mathworks MATLAB Onramp
Owen's Matlab Tutorial
MATLAB Basics: a Tutorial
Fundamentals of Matlab

Schedule:
Week Reading assignments Topics Assignments to be turned in
 1:  Jan 17-20 Sec 1.4,1.5,2.1 1. Limits
   1. Tangent and velocity problems (1.4,2.1)
   2. The limit of a function. Infinite limits. (1.5)
Instructions - all HW
HW 1 due Sun Jan 22
(for day 1)
 2:  Jan 23-27 Sec 1.6,1.8,2.1    3. Finding finite limits (1.6)
   4. Continuity (1.8)
2. The derivative
   5. Definition of the derivative (2.1)
HW 2 due Sun Jan 29
(for days 2,3,4)
 3:  Jan 30-Feb 3 Sec 2.2-2.4    6. The derivative as a function (2.2)
   7. Differentiation formulas (2.3)
   8. Derivatives of Trig functions (2.4)
HW 3 due Sun Feb 5
(for days 5,6,7)
 4:  Feb 6-10 Sec 2.5
Review 1
Exam 1
   9. Chain Rule (2.5)
  10. Review
  11. EXAM 1 (HW 1-4)
HW 4 due Tue Feb 7
(for days 8,9)
 5:  Feb 13-17 Sec 2.6-2.8   12. Implicit differentiation (2.6)
3. Applications of the derivative
  13. Rates of change (2.7)
  14. Related rates (2.8)
HW 5 due Monday Feb 20
(for days 12,13)
 6:  Feb 20-24 Sec 2.9,3.1,3.3    15. Linearization (2.9)
   16. Absolute max/min of continuous functions on closed intervals (3.1)
   17. Local max/min. 1st and 2nd derivative test. (3.3)
HW 6 due Sunday Feb 26
(for days 14,15,16)
 7:  Feb 27-Mar 3 Sec 3.4,3.5,3.7    18. Limits at infinity and graphing (3.4, 3.5).
   19. Graphing (ctd)
   20. Optimization (3.7)
HW 7 due Sunday Mar 5
(for days 17,18,19)
 8:  Mar 6-10 Review 2
Exam 2
   21. Optimization (ctd)
   22. Review
   23. EXAM 2 (HW 5-8)
HW 8 due Tue Mar 7
(for days 20,21)
      Mar 13-17 SPRING BREAK
 9:  Mar 20-24 Sec 3.9,4.1,4.2    24. Antiderivatives (3.9)
4. The integral.
   25. Area Problem (4.1)
   26. The definite integral (4.2)
HW 9 due Sun Mar 26
(for days 24,25)
10: Mar 27-31 Sec 4.3,4.4    27. Fundamental Theorem of Calculus, Part I (4.3)
   28. Fundamental Theorem of Calculus, Part II (4.3)
   29. Indefinite integrals. Net Change Theorem (4.4)
HW 10 due Sun Apr 2
(for days 26,27,28)
11: Apr 3-7 Sec 4.5
Review 3
Exam 3
   30. Substitution Rule (4.5)
   31. Review
   32. EXAM 3 (HW 9-11)
HW 11 due Tue Apr 4
(for days 29,30)
12: Apr 10-14 Sec 5.1-5.2 5. Applications of the integral
   33. Areas between curves (5.1)
   34. Volumes (5.2)
   35. Volumes (5.2)
HW 12 due Sun Apr 16
(for days 33,34)
13: Apr 17-21 Sec 5.3-5.5    36. Volumes by shells (5.3)
   37. Work (5.4)
   38. Average value (5.5)
HW 13 due Sun Apr 23
(for days 35,36,37)
14: Apr 24-28 Sec 3.2,5.5
Review 4
Exam 4
   39. MVT (3.2). MVT for integrals (5.5).
   40. Review
   41. EXAM 4 (HW 12-14)
HW 14 due Tue Apr 25
(for days 38,39)
15: May 1-5 Review Week
Final Review
   42. Review for Final
   43. Review for Final
   44. Review for Final
16: May 8 Final Exam Mon May 8, 7:30-9:30am: Cumulative Final Exam

Instruction mode: Most classes meet in person, with three 50-minute sessions of direct instruction plus one 75-minute recitation to go over problems and any quizzes or assessment that is given. Evening sections meet in three 75-minute sessions per week.

Prerequisites and review: review problems is posted here so you can review before the semester starts and be well prepared. The goal of mathematics courses at UNM is to build your skills and strengthen them as you go semester after semester. Review is needed, but don't worry if you do not feel 100% confident to start with. We will review as we go and gain skill and confidence throughout. We will assess your preparedness for this course early on and advise correspondingly. If you have any questions about which is the appropriate course for you make sure to talk with your instructor early in the first week of classes.

Grading: Your final course grade will be determined from

   Weekly Homework
   Quizzes
   4 mid-semester Exams
   Cumulative Final Exam
   75 points
   75 points
   100 points each
   200 points
   Total points    750 points

Your current percentage grade will always be visible in your Canvas page. A comprehensive 90%, 80%, or 70% grade will guarantee a passing grade of A,B or C, respectively, in the course. However, a grade below 70% does not mean you will fail the class. While your instructor will give general feedback on grades in class, you should make sure to contact your instructor directly anytime you want to know more closely what your standing in the course is. In particular, you need to contact your instructor before deciding to drop the course.

Attendance: Attendance at UNM is mandatory and engagement in the class (regular homework completion, questions/comments inside and outside class, and in office hours) is necessary to succeed in this course. If you need to miss class, please let your instructor know. Your Instructor may drop you from the course if you have more than 4 absences, lectures and recitations combined. Please make sure to stay in touch with your instructor in case of special circumstances that temporarily prevent you from participating as needed.

Homework: Weekly homework sets are due on the posted due date, by 11:59pm, to be submitted through Canvas. You will need a scanning app for your mobile device to scan your solutions as a pdf file.

One of the main goals of the course is to develop your mathematical writing skills, clearly showing all steps taken using correct algebra and notation. Therefore, your homework will be graded on the clarity and correctness of your mathematical presentation. Please take care to submit neat, legible solutions, with problems listed in order. Solutions that are hard to find or read will receive zero credit. Same standards will be applied to exams.

You are encouraged and welcome to work together on the homework. However, the writeup you hand in must be your own work, in your own words. After you have had all your questions answered, you need to be able to do all problems on your own.

Referral to other sources outside of the material given in class (such as searching the web for answers) is not conducive to learning and does not lead to understanding. To understand the material you must work through it. You learn mathematics, just as you do the violin, or soccer, by practice, practice, practice. And just like playing the scales or doing the dribbling skills, it's not necessarily always fun, but necessary. You will hit roadblocks, that is part of the process. But when you do come to your results after possibly a few detours, then you have really understood. So, please know that struggling is ok. But do not bang your head in frustration! It is perfectly ok to try, think about something for a bit, and then get more insight by asking questions.

Work outside class: Please note that UNM requires a minimum of two hours work outside of class for each credit hour. Only with daily work and good use of your resources will you profit the most and succeed in this class. This is a four credit-hour course, with three lectures and one recitation for fifteen weeks during the semester. Please plan for a minimum of eight hours of out-of-class work each week: 2 hours after each lecture and 2 hours on the weekend to finalize the homework. The homework is set up to make it clear which problems to work on after each lecture.

Life Happens: All homework must be completed to master the material in this course. However, we understand that life happens and there are times where we all need grace for late assignments. Homework will generally be due Sundays at 11:59pm. If there are isolated instances where you need extra time to complete an assignment, you can take a "life happens" card and turn the homework in one day late, before solutions are posted. You have two such "life happens" cards. Solutions are typically posted 30 hours later after the due date or by 6am on Tuesdays. Assignments turned in after solutions are posted will be eligible for 20% completion points.
Careful: For those homeworks due shortly before an exam, solutions will be posted the next morning so you cannot use your life happens card in these cases.

Exam dates: All exam dates are given in the syllabus at the beginning of the semester. Exams cannot be rescheduled except in documented emergencies. If you need to reschedule because of a documented emergency (eg, surgery), please let your instructor know as soon as you find out. If you miss an exam due to sickness, contact your instructor immediately. Do not schedule a personal trip during exams as you will not be given a makeup. Non-NCAA sporting events are also not university authorized emergencies.

Tutoring Center Hours: will be posted here.

Resources: There are several resources to help you succeed in this class. Please consider your instructor your primary resource. Visit them during drop-in hours help hours, ask questions inside and outside of class, let us know what difficulties you are having. We want to hear from you and we want to help you succeed. The recitations are another resource for you to ask any questions you may have. A list of all resources:

- Instructor's drop-in hours, availability in and outside of class

- Teaching assistants/recitations: TAs will lead the recitations and are available for help at the Tutoring Center.

- Tutoring Table, staffed by appropriate instructors throughout the week (see posted schedule)

- CAPS: Center for Academic Program Support. Located on the 3rd floor of Zimmerman Library, (505) 277-7205

- ESS Center: Engineering Student Success Center, (505) 277-4354

- Student Health and Counseling (SHAC) at (505) 277-3136. If you are having active respiratory symptoms (e.g., fever, cough, sore throat, etc.) AND need testing for COVID-19; OR If you recently tested positive and may need oral treatment, call SHAC.

- LoboRESPECT Advocacy Center (505) 277-2911 can offer help with contacting faculty and managing challenges that impact your UNM experience.

Most importantly: Ask questions!! In class, in recitations, at CAPS, to your instructor, to each other. You learn the most when you figure out what questions you have, formulate them, and find the answers to them. This is not the same as asking "how do you do this problem?" A better question would be "I tried this and got stuck, I don't see alternatives, can you help?" or, in class, "I don't see how that follows, can you explain?"

Grade Mode Change and Withdrawals: Deadlines to make changes to your registration status are published by the Office of the Registrar in the schedule of classes: http://registrar.unm.edu. To change grade mode or to withdraw after the deadlines posted therein, you need to (1) talk to your instructor to fully understand your standing in the class, and (2) meet with your advisor and discuss the best path for you to proceed, as well as all consequences for your studies. Please ask your advisor to email your instructor, with copy to you, of the final decision. For grade mode changes you may also be required to have your instructor sign a grade mode change form: http://www.unm.edu/~unmreg/images/Forms/EnrlAuth-GradeMode.pdf , and your instructor will accommodate the change. Please note that you cannot request a withdrawal from the course after 5 pm on the Friday before final exams week.

Academic dishonesty:
Academic dishonesty will be reported to the Dean of Students. This includes copying answers from other sources to complete your homework, using external sources (other than pencil and paper) to complete exams, and copying or looking at another student's exam or quiz while it is given.

COVID-19 - Vaccination and Indoor Masking: COVID-19 Health and Awareness. UNM is a mask friendly, but not a mask required, community. To be registered or employed at UNM, Students, faculty, and staff must all meet UNM's Administrative Mandate on Required COVID-19 vaccination. If you are experiencing COVID-19 symptoms, please do not come to class. If you have a positive COVID-19 test, please stay home for five days and isolate yourself from others, per the Centers for Disease Control (CDC) guidelines. If you do need to stay home, please communicate with your instructor; your instructor can work with you to provide alternatives for course participation and completion. UNM faculty and staff know that these are challenging times. Please let us know that you need support so that we can connect you to the right resources and please be aware that UNM will publish information on websites and email about any changes to our public health status and community response.
Support:
Student Health and Counseling (SHAC) at (505) 277-3136. If you are having active respiratory symptoms (e.g., fever, cough, sore throat, etc.) AND need testing for COVID-19; OR If you recently tested positive and may need oral treatment, call SHAC.
LoboRESPECT Advocacy Center (505) 277-2911 can offer help with contacting faculty and managing challenges that impact your UNM experience.

Accomodation Statement: Accommodations: UNM is committed to providing equitable access to learning opportunities for students with documented disabilities. As your instructor, it is my objective to facilitate an inclusive classroom setting, in which students have full access and opportunity to participate. To engage in a confidential conversation about the process for requesting reasonable accommodations for this class and/or program, please contact Accessibility Resource Center at arcsrvs@unm.edu or by phone at 505-277-3506.

Title IX: Our classroom and our university should always be spaces of mutual respect, kindness, and support, without fear of discrimination, harassment, or violence. Should you ever need assistance or have concerns about incidents that violate this principle, please access the resources available to you on campus. Please note that, because UNM faculty, TAs, and GAs are considered "responsible employees" by the Department of Education, any disclosure of gender discrimination (including sexual harassment, sexual misconduct, and sexual violence) made to a faculty member, TA, or GA must be reported by that faculty member, TA, or GA to the university's Title IX coordinator. For more information on the campus policy regarding sexual misconduct, please see: https://policy.unm.edu/university-policies/2000/2740.html.
Support: LoboRESPECT Advocacy Center and the support services listed on its website, the Women's Resource Center and the LGBTQ Resource Center all offer confidential services and reporting.

Citizenship and/or Immigration Status: All students are welcome in this class regardless of citizenship, residency, or immigration status. Your professor will respect your privacy if you choose to disclose your status. As for all students in the class, family emergency-related absences are normally excused with reasonable notice to the professor, as noted in the attendance guidelines above. UNM as an institution has made a core commitment to the success of all our students, including members of our undocumented community. The Administration’s welcome is found on our website: http://undocumented.unm.edu/.

Land Acknowledgement: Founded in 1889, the University of New Mexico sits on the traditional homelands of the Pueblo of Sandia. The original peoples of New Mexico Pueblo, Navajo, and Apache since time immemorial, have deep connections to the land and have made significant contributions to the broader community statewide. We honor the land itself and those who remain stewards of this land throughout the generations and also acknowledge our committed relationship to Indigenous peoples. We gratefully recognize our history. Faculty Resource: Information provided by UNM’s Division for Equity and Inclusion can support building an inclusive classroom, https://diverse.unm.edu/education-and-resources/programs/index.html.