math1522f24

Math 1522 - Fall 2024 - Calculus II - All Sections

Instructors: Tim Berkopec, Khalid Ifzarene, Mike Heitzman, Benjamin Betts, Derek Martinez, Andrew Stump, Galen Novello.
Most classes meet in person. Follow UNMs guidelines regarding COVID-19.

Course Topics: Transcendental functions, integration techniques, sequences and series, Taylor series with applications, introduction to differential equations. Here are the student learning outcomes.

Prerequisite: Calculus I (Math 1512). See here for review problems, diagnostic tests, review of algebra, and more.

Textbook: Calculus, Stewart, 9th edition.
You will automatically have access to the e-book in Canvas through inclusive access. You can upgrade to a hard copy of the textbook through the UNM bookstore. You may opt out of inclusive access if you prefer to obtain the textbook elsewhere.

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 19-23	Sec 6.1-6.3	1. Inverse Functions 1. Inverse functions (6.1) 2. Exponential functions and their derivatives (6.2) 3. Logarithmic functions (6.3)	HW1 due Mon Aug 26 (for days 1,2,3)
2: Aug 26-30	Sec 6.4, 6.6	4. Derivatives of logarithmic functions (6.4) 5. Inverse Trig functions (6.6) 6. Derivatives of Inverse Trig functions (6.6)	HW2 due Tues Sep 3 (for days 4,5,6)
3: Sep 2-6	Labor Day Sec 6.7-6.8	(Labor Day) 7. Hyperbolic functions (6.7) 8. L'Hopital's Rule (6.8)	HW3 due Mon Sep 9 (for days 7,8)
4: Sep 9-13	Sec 7.1 Review 1 Exam 1	2. Techniques for integration 9. Integration by parts (7.1) 10. 11. EXAM 1 (HW 1-3)	HW4 due Mon Sep 16 (for day 9)
5: Sep 16-20	Sec 7.2-7.4	12. Trigonometric integrals (7.2) 13. Trigonometric substitution (7.3) 14. Partial fractions (linear factors) (7.4)	HW5 due Mon Sep 23 (for days 12,13,14)
6: Sep 23-27	Sec 7.4,7.7-7.8	15. Partial fractions (quadratic factors) (7.4) 16. Numerical integration: Rectangle vs Trapezoid rules (7.7) 17. Improper integrals (7.8)	HW6 due Mon Sep 30 (for days 15,16,17)
7: Sep 30-Oct 4	Review 2 Exam 2	18. Catch-up/Review 19. 20. EXAM 2 (HW 4-6)
8: Oct 7-11	Sec 11.1-11.2 Fall Break	3. Sequences and series 21. Sequences (11.1) 22. Series (11.2) (Fall Break)	HW7 due Mon Oct 14 (for days 21,22)
9: Oct 14-18	Sec 11.3-11.5	23. Integral test, p-series (11.3) 24. Comparison tests (11.4) 25. Alternating Series and Absolute Convergence (11.5)	HW8 due Mon Oct 21 (for days 23,24,25)
10: Oct 21-25	Sec 11.6, 11.8-11.9	26. Ratio Test (11.6) 4. Taylor series 27. Power series (11.8) 28. Representing functions as power series (11.9)	HW9 due Mon Oct 28 (for days 26,27,28)
11: Oct 28-Nov 1	Sec 11.10-11.11	29. Taylor series (11.10) 30. Taylor series (11.10) 31. Approximating functions (11.11)	HW10 due Mon Nov 4 (for days 29,30,31)
12: Nov 4-8	Sec 11.11 Complex numbers	32. Applications in physics (11.11) 33. Complex numbers and Euler's formula 34. Complex numbers and Euler's formula	HW11 due Mon Nov 11 (for days 32,33,34)
13: Nov 11-15	Sec 9.1 Review 3 Exam 3	5. Ordinary Differential Equations 35. Modeling with Differential Equations (9.1) 36. 37. EXAM 3 (HW 7-11)	HW12 due Mon Nov 18 (for day 35)
14: Nov 18-22	Sec 9.2-9.3, 9.5	38. Direction fields and Euler's method (9.2) 39. Separable equations (9.3) 40. Linear equations: Method of integrating factors (9.5) Worked out example	HW13 due Mon Nov 25 (for days 38,39,40)
15: Nov 25-29	Sec 9.3, 9.5 Thanksgiving	41. Catch-up/Review or some optional topic 42. Catch-up/Review or some optional topic (Thanksgiving)
16: Dec 2-6	Review Week Final Review	43. Review: Integration Methods 44. Review: Series, Taylor Series 45. Review: ODEs
17: Dec 9	Final Exam	Mon Dec 9, 10:00am-12:00 pm: 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. 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 Fall 2022 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: 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 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

- SHAC: Student Health and Counseling, in the Student Health Center, (505) 277-3136. (For test anxiety, etc.)

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?"

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
(by Michael Tanguay): Fundamentals of Matlab

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 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.

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 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.

Please note that we fully support the rights of everyone to an education in an environment of respect, support, and free from fear of deportation, and we strive to build such an environment. We will maintain confidentiality and work with students who require immigration-related accommodations. For more information and/or resources, please contact the New Mexico Dream Team at info@nmdreamteam.org.