Antiderivatives and indefinite integrals in one variable, definite integrals and the fundamental theorem of calculus. Integration techniques and applications of integration. Infinite sequences, series and            convergence tests. Power series, Taylor and Maclaurin series. A wide range of applications from the      sciences will be discussed.

On successful completion of MAT136H5, you should be able to solve problems related to integral        calculus, which includes definite and indefinite integrals, integration techniques, improper integrals,    sequences and series, area and volume problems and other related applications. A list of topics can be found below. You should aim for a level of understanding that allows you to:

1)   carry out computations with ease;

2)   use many of the key concepts of calculus to solve a range of problems, both           computational and conceptual, even ones that are different from, or a variation of problems you've seen before;

3)   give an explanation of your solutions to someone who has not seen the material before (i.e. you should aim to understand the material well enough to be able to explain each step in a calculation, but also the general idea behind the solution);

4)   use problem solving strategies to determine the best approach to solve a problem, and determine whether a particular theorem or technique applies;

5)   use critical reasoning to determine whether an argument is correct or not, and whether a statement is true or false, with justification;

6)   draw connections between the key concepts in calculus and articulate how some of  the techniques from the courses can be applied to problems outside of mathematics.

This course uses an active learning type course model. This means that you will be reading certain materials on your own before class, and in class there will be a variety of activities, problems and  examples that you will participate in working on.

Studies have shown that classes where students actively participate throughout, give better end results and students learn more than in passive 'lectures'.

A typical week of the active learning model in MAT136 is described here:

Classes:

•    All classes, tutorials and office hours will be online until at least 30 January.

•    Starting on 31 January, all lecture sections are scheduled as in-person.

•    For classes (LECs) that are in-person, we are hoping to post written lecture notes on Quercus. This may not be done for all sections but at least one section will post written notes for each  topic.

•    We may provide recordings of some lecture sections' classes. Probably not all lecture sections, and it is not guaranteed that every topic will be recorded, but our goal is to provide some form of recordings. Any recordings and posted notes are NOT meant to be a replacement for             attending and participating in in-person classes. However, they should be viewed as a backup  option, if you are ill or must miss a few classes for some other reason.

•   There is the possibility that all or some classes are moved online again during the semester (e.g. if there is a region-wide lockdown, or if a particular instructor needs to isolate, etc.). This could  possibly be on short notice, so you should be prepared to be able to log in to an online class.

•    Any potential online classes would be delivered using Zoom. If a class is unexpectedly moving   online on short notice, we will do our best to record the class and post the recording on             Quercus. This means that even if you are not able to join online on short notice, you can watch the recording later.

•    All LEC sections will have the same tests, same assignments etc.

•    Come to class prepared to work and engage! We really look forward to seeing you in class!

Tutorials:

•    You must enroll in a tutorial section, and you should attend only the tutorial that you are enrolled in. You can enroll in any tutorial, regardless of the LEC you are enrolled in.

•   Tutorials start the week of 17h January 2022.

•    All tutorials will be online until at least 30 January. Starting on 31 January, all tutorials are   scheduled as in-person. However, there is the possibility that a tutorial may temporarily be moved online, possibly on short notice.

•   Tutorials will not be recorded.

•    Attend every week if you can! (But stay home if you feel unwell.)

•   Tutorials give you a chance to study with the help of the TA and together with other students.   Attending tutorials and actively participating in them will increase your chances of doing well in the course.

•    A list of which TA is responsible for which tutorial can be found on Quercus under ‘Contact info’ .

Textbook:

We will use OpenStax Calculus Volume 2. This is an Open Educational Resource (a FREE textbook). The textbook can beaccessed online, or you can download a PDF, or you can purchase a printed copy.         https://openstax.org/details/books/calculus-volume-2

Course website:

You can access the MAT136H course website through theUofT Quercusathttps://q.utoronto.ca. All important course information will be posted on Quercus throughout the course.

Office hours:

All instructors will be available for help outside of class. Certain times may be ‘drop-in’, and certain  times you can book ahead. Some might be in-person, and some might be online. See Quercus under “Contacts” for up-to date information.

Discussion board - Piazza:

The discussion board can be used to post general course questions and read and reply to other students’ questions. See Quercus under “Piazza – Discussion board” .

Practice problem list:

This is a list of extra practice problems from the textbook. You do NOT need to hand in your solutions. See Quercus under “Practice problems” .

Academic skills centre:

The Robert Gillespie Academic Skills Centre (RGASC) offers individual consultations, workshops, and a   wide range of programs to help students identify and develop the academic skills they need for success in their studies. Visit the RGASC website to explore their online resources, book an online appointment, or learn about other programming such as Writing Retreats, the Program for Accessing Research            Training (PART), Mathematics and Numeracy Support, and dedicated resources for English Language     Learners. Links are available on Quercus under “Additional Help” .

Final grades are based on student performance on assessments as stated here. No extra work can be submitted to improve a student’s final grade.

Note: There is a deadline of one week after each term assessment grade is released to request a remark for that assessment.

Final exam:

Test 1

Test 2

Preparation checks:

Written assignments:

Online assignments:

40%

18%

18%

8%

8%

8%

written in-person in April

written online on 11 February 2022

written in-person on 25 March 2022

(average of all except your lowest three)

(average of all except your lowest one)

(average of all except your lowest one)

More information about each of these is given below. Additional information will be given on Quercus throughout the course. A schedule of due dates is available in the table on the last page.

Final exam:

There will be a final exam during the exam period in April. The final exam will be in-person, on the UTM  campus. The exam will be cumulative, i.e. it will include problems from the entire course. The exact date and time of the exam will be decided by the UTM Exam Office and is usually available in early March.

Term tests:

There will be two term tests in the course, on the following dates:

Details such as which sections are covered on each term test will be provided later, on Quercus.

Missed term tests:

The weight of any test that you miss will be shifted to the final exam. No documentation is needed, but please declare your absence on ACORN. There will be no make-up tests.

Preparation checks (prep-checks):

•    Before class, you will be expected to read certain sections in the textbook. (Reading guides will be posted on Quercus.)

•    After (or during) the reading, you will complete “preparation checks” on Quercus.

•    Preparation checks consist of 3-5 questions per section. (Usually 2-3 sections per week.)

•    Prep-checks are due on Sundays at 6 pm, Toronto time (see full schedule below).

•    You will have an unlimited number of attempts before the deadline, and your grades on the prep-checks will count towards your final grade in the course.

•   The prep-checks are designed so that if you work hard on them without any help other than the textbook, then you are ready for class!

Assignments:

•   The assignment schedule is on the last page, below. Assignments will be due on Fridays at 6 pm, Toronto time.

•    Assignments may have an “online part” and a “written part” . (Details will be posted on Quercus throughout the course.)

•    For “online parts” we will use WebWorK. This is FREE and details will be posted on Quercus.

•    For “written parts” we will use Crowdmark. This is FREE and details will be posted on Quercus.

•    Deadlines to submit assignments are extremely strict. Missing the deadline by even a few minutes will mean that you get 0 for that assignment. (So plan to finish well before the    deadline!)

•   There will be no make-up assignments.

The purpose of the written assignments is to give you some practice in writing detailed solutions to        mathematical problems, without any time pressure. You will receive feedback on your writing and on    your solutions. You are encouraged to take this opportunity to carefully write your solutions and think   about how to best present your reasoning behind them. Questions on the assignments may also appear again on tests and/or the final exam.

Technology requirements:

In case of a change to online classes (e.g. in the first few weeks of term, and possibly at other times), the

following technology is recommended.

•    See the UofTRecommended Technology Requirements for Remote/Online Learning.

•    In addition to the minimum UofT requirements, in this course we require:

o A camera or scanner. You will need to take a picture of your hand-written work and submit it.

o Speakers or headphones. To use during LEC and TUT, or while watching a video.

o Microphone and video camera are recommended. This is so that you can take part in    small group discussions and participate during class. (You will also be able to participate using the chat.)

•    Also see UTMsLearn Anywherepage.

Copyright policy:

Please be advised that the intellectual property rights in the material referred to on this syllabus and     posted on the course Quercus site, may belong to the course instructors or other persons. You are not  authorized to reproduce or distribute such material, in any form or medium, without the prior consent  of the intellectual property owner. Violation of intellectual property rights may be a violation of the law and University of Toronto policies and may entail significant repercussions for the person found to have engaged in such act. If you have any questions regarding your right to use the material in a manner        other than as set forth in the syllabus, please speak to your instructor.

•    Course materials are made available to you for personal use. You can not share (or ‘publish’) material anywhere.

•    You can not record lectures or tutorials (both in-person and online) without permission from the instructor or the TA.

•    You can not post any course material to any website, study group or online forum.

•    If you post assignment or test questions to any website, study group or online forum (except the course Piazza discussion board) it may be a copyright violation and it may be an academic            offence.

Notice of video recording and sharing (Download permissible; re-use prohibited)

This course, including your participation, will be recorded on video and will be available to students in    the course for viewing remotely and after each session. Course videos and materials belong to your        instructor, the University, and/or other source depending on the specific facts of each situation, and are protected by copyright. In this course, you are permitted to download session videos and materials for  your own academic use, but you should not copy, share, or use them for any other purpose without the explicit permission of the instructor. For questions about recording and use of videos in which you          appear please contact your instructor.

With regard to remote learning and online courses, UTM wishes to remind students that they are     expected to adhere to theCode of Behaviour on Academic Mattersregardless of the course delivery method. By offering students the opportunity to learn remotely, UTM expects that students will        maintain the same academic honesty and integrity that they would in a classroom setting. Potential academic offences in a digital context include, but are not limited to:

•    Accessing unauthorized resources (search engines, chat rooms, Reddit, etc.) for assessments.

•    Using technological aids (e.g. software) beyond what is listed as permitted in an assessment.

•    Posting test, essay, or exam questions to message boards or social media.

•    Creating, accessing, and sharing assessment questions and answers in virtual “course groups.”

•    Working collaboratively, in-person or online, with others on assessments that are expected to be completed individually.

All suspected cases of academic dishonesty will be investigated following procedures outlined in the   Code of Behaviour on Academic Matters. If you have questions or concerns about what constitutes     appropriate academic behaviour or appropriate research and citation methods, you are expected to   seek out additional information on academic integrity from your instructor or from otherinstitutional resources.

The University of Toronto is committed to equity, human rights and respect for diversity. All members of the learning environment in this course should strive to create an atmosphere of mutual respect where  all members of our community can express themselves, engage with each other, and respect one             another’s differences. UofT does not condone discrimination or harassment against any persons or          communities.

The University provides academic accommodations for students with disabilities in accordance with the  terms of the Ontario Human Rights Code. This occurs through a collaborative process that acknowledges a collective obligation to develop an accessible learning environment that both meets the needs of          students and preserves the essential academic requirements of the University’s courses and programs.   At UTM,the Accessibility Servicescan provide more information about accessibility accommodations for students.https://www.utm.utoronto.ca/accessibility/welcome-accessibility-services

There are several ways to provide feedback on the course:

(1)  Through the course suggestion box;

(2)  Through anonymous feedback forms for your instructor; and,

(3)  Through the official UofT course evaluation system, conducted near the end of the semester.    Details will be posted on Quercus under “Course feedback” . You are strongly encouraged to participate and provide your feedback!