Math 1512 - Fall 2025 - Calculus I - All Sections

Instructors: Tim Berkopec, Olivia Strahan, Patrick Denne, Derek Martinez, Steven Archuleta, Christian Fowler.

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 review problems, diagnostic tests, and review of algebra.

Textbook: Calculus, Stewart, 9th edition.
You will automatically have access to the e-book in Canvas through the new Course Materials Access Program. You can upgrade to a hard copy of the textbook through the UNM Bookstore. You may opt out of the program if you prefer to obtain the textbook elsewhere. For more information, see https://coursematerialsaccess.unm.edu.

UNM Canvas: Course materials, communication, and grades will be posted on Canvas.

Grading: Your course grade will be determined from weekly homework, quizzes, 3 mid-semester exams, and a final exam. Attendance and participation in all aspects of the course is required.
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.

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. 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 resources.

See below for Grade Mode Change and Academic Dishonesty.


Schedule:
Week Reading assignments Topics Assignments to be turned in
 1:  Aug 18-22 Sec 1.4-1.6, some 2.1
Pretest (not for grade)
1. Limits
   1. Tangent and velocity problems (1.4,2.1)
   2. The limit of a function (1.5)
   3. Finding limits using limit laws (1.6)

HW1 due Mon Aug 25
(for days 1,2,3)
 2:  Aug 25-29 Sec 1.8,2.1-2.2    4. Continuity (1.8)
2. The derivative
   5. Definition of the derivative (2.1)
   6. The derivative as a function (2.2)
HW2 due Tues Sep 2
(for days 4,5,6)
 3:  Sep 1-5 Labor Day
Sec 2.3-2.4
  (Labor Day)
   7. Differentiation formulas (2.3)
   8. Derivatives of Trig functions (2.4)
HW3 due Mon Sep 8
(for days 7,8)
 4:  Sep 8-12 Sec 2.5
Review 1
Exam 1
   9. Chain Rule (2.5)
  10.
  11. EXAM 1 (HW 1-3)
HW4 due Mon Sep 15
(for day 9)
 5:  Sep 15-19 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)
HW5 due Mon Sep 22
(for days 12,13,14)
 6:  Sep 22-26 Sec 2.9,3.1-3.2   15. Linearization (2.9)
  16. Max/Min (3.1)
  17. MVT (3.2)
HW6 due Mon Sep 29
(for days 15,16,17)
 7:  Sep 29-Oct 3 Sec 3.3-3.5
  18. Derivatives and shape of graph (3.3)
  19. Horizontal asymptotes. Graphing rational functions (3.4)
  20. Graphing functions (3.5)
HW7 due Mon Oct 6
(for days 18,19)
 8:  Oct 6-10 Sec 3.5,3.7
Fall Break
  21. Graphing functions (3.5)
  22. Optimization (3.7)
  (Fall Break)
HW8 due Mon Oct 13
(for days 20,21,22)
 9:  Oct 13-17 Sec 3.7
Review 2
Exam 2
  23. More Optimization or Catch-up/Review
  24.
  25. EXAM 2 (HW 4-8)
10: Oct 20-24 Sec 3.9,4.1-4.2   26. Antiderivatives (3.9)
4. The integral
  27. Area Problem (4.1)
  28. The definite integral (4.2)
HW9 due Mon Oct 27
(for days 26,27,28)
11: Oct 27-31 Sec 4.3-4.4   29. The Fundamental Theorem (4.3)
  30. The Fundamental Theorem (4.3)
  31. Indefinite integrals and Net Change Thm (4.4)
HW10 due Mon Nov 3
(for days 29,30,31)
12: Nov 3-7 Sec 4.5,5.1-5.2    32. Substitution Rule (4.5)
5. Applications of the integral
   33. Areas between curves (5.1)
   34. Volumes (5.2)
HW11 due Mon Nov 10
(for days 32,33,34)
13: Nov 10-14 Sec 5.2, 5.4, 5.5    35. Volumes (5.2)
   36. Work (5.4)
   37. Average value of a function (5.5)
HW12 due Mon Nov 17
(for days 35,36,37)
14: Nov 17-21
Review 3
Exam 3
   38. Volumes by shells (5.3) -- optional
   39.
   40. EXAM 3 (HW 9-12)
HW13 due Mon Nov 24
(for day 38)
15: Nov 24-28
Thanksgiving
   40. Exponential Functions (6.2) -- optional
   41. Newton's Method (3.9) -- optional
   (Thanksgiving)
16: Dec 1-5 Review Week
Final Review
   43. Review: Limits, continuity, differentiability
   44. Review: The chain rule.
   45. Review: The integral.
17: Dec 8 Final Exam Mon Dec 8, 7:30am-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.

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.

Course Grade: Your final course grade will be determined from

   Weekly Homework
   Quizzes
   3 mid-semester Exams
   Cumulative Final Exam
   15%
   10%
   50%
   25%

Your percentage grade will be posted on Canvas. A comprehensive 90%, 80%, or 70% grade will guarantee a passing grade of A,B or C, respectively, in the course. While your instructor will give general feedback on grades in class, you should contact your instructor directly anytime you want to know more closely what your standing in the course is. In particular, you should 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. 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 Fall 2025 semester. Please plan for a minimum of eight hours of out-of-class work each week.

Life Happens: Homework and quizzes should be submitted by their due date to receive credit. In general, late homework will not be accepted and makeup quizzes will not be given. We realize that unexpected events in life may come up. To account for this, 2 of your lowest quiz scores and 2 of your lowest homework scores will be dropped when computing your final course grade.

Makeup Exams: Makeup exams will not be given 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: are 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, 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. Here's a list of 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)

- CTL: Center for Teaching and Learning. Located on the 3rd floor of Zimmerman Library, (505) 277-7205, https://ctl.unm.edu

- ESS Center: Engineering Student Success Center, (505) 277-4354, https://ess.unm.edu

- SHAC: Student Health and Counseling, in the Student Health Center, (505) 277-3136, https://shac.unm.edu

Most importantly: Ask questions!! In class, in recitations, at CTL, 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?"

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

Grade Mode Change and Withdrawals: Deadlines to make changes to your registration status are published by the Office of the Registrar at https://registrar.unm.edu. Before changing grade mode or withdrawing, you should (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.

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.

Accomodations: 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 (https://arc.unm.edu) at arcsrvs@unm.edu or by phone at 505-277-3506.

UAP 2720 and 2740: Our classroom and university should foster mutual respect, kindness, and support. If you have concerns about discrimination, harassment, or violence, please seek support and report incidents. Find confidential services at LoboRESPECT Advocacy Center , the Women’s Resource Center, and the LGBTQ Resource Center. UNM prohibits discrimination on the basis of sex (including gender, sex stereotyping, gender expression, and gender identity). All instructors are “responsible employees” who must communicate reports of sexual harassment, sexual misconduct and sexual violence to Compliance, Ethics and Equal Opportunity. For more information, please see UAP 2720 and UAP 2740.

Course Materials Access Program: Your digital course materials are directly available now on the My Shelf link in Canvas. Your physical course materials, such as books and required lab/studio course kits, are available at the UNM Bookstore, and you will receive an email about how to pick them up. To simplify your course materials access, you are automatically enrolled in a Complete option at a flat rate of $279 per semester. This will show up on your bursar bill. The Complete option covers all your required course materials for all your Albuquerque campus courses, including any graduate courses you may be taking (branch campus course materials are billed and available separately). If you are interested in course materials access for only selected courses, or if you want to opt out entirely, you will need to select the option you want in the My Shelf link in Canvas. You can change your selected option in the My Shelf link in Canvas until the registrar’s “Last Day to Drop Without a ‘W’ Grade and 100% Tuition Refund.” Make sure that you review the information at https://coursematerialsaccess.unm.edu to understand cost and the options for Complete (automatic enrollment), Select (take action), and Opt-out (take action).