THIS COURSE OUTLINE IS TENTATIVE

Please Note: The instructor and university reserve the right to modify elements of the course during the term. The university may change the dates and deadlines for any or all courses in extreme circumstances. If either type of modification becomes necessary, reasonable notice and communication with the students will be given with explanation and the opportunity to comment on changes. It is the responsibility of students to check their McMaster email and course websites weekly during the term and to note any changes. Announcements will be made in class and by using the course email distribution list.

MATH 1LT3 Calendar Description

MATH 1LT3 - Calculus II for the Life Sciences
3 units
Techniques for analyzing autonomous differential equations, differential calculus of functions of several variables; probability and statistics. All topics chosen for their relevance to the life sciences.
Three lectures, one tutorial; one term
PLEASE REFER TO MOSAIC FOR THE MOST UP-TO-DATE INFORMATION

MATH 1LT3 Course Webpage

https://ms.mcmaster.ca/~clemene/math1LT3E.html

MATH 1LT3 Course Description

Course Description:
This course is a continuation of Calculus for Life Sciences I and serves to strengthen mathematical foundations and introduce important techniques and ideas which have many current applications in the life sciences. Specifically, the course will focus on analyzing and solving autonomous differential equations, applying calculus to functions of several variables, and studying important introductory concepts in probability and statistics. Applications will be chosen for their relevance to the life sciences.

Course objectives:
* To learn techniques for analyzing autonomous differential equations (e.g., exploring numerical solutions using Euler's method, creating phase-line and phase-plane diagrams to display qualitative behaviour of solutions, analyzing stability of equilibrium solutions, solving separable differential equations).

* To extend concepts of differential calculus to functions of several variables (e.g., domain, range, graphs, limits, continuity, partial derivatives, extreme values).

* To discuss fundamental ideas in probability and statistics, as they arise in life sciences applications. In particular, we discuss: stochastic models, basics of probability theory, conditional probability, law of total probability, Bayes' Theorem, independence, random variables, centre and spread of a distribution, special discrete and continuous random variables.

DETAILED MATH 1LT3 COURSE OUTLINE

If you plan to apply for a program (such as pharmacy, optometry, dentistry, etc. ) that requires calculus, and are asked to present a detailed course outline, then go here and use the information provided (you can print the page, or direct the school to visit the web page at http://ms.mcmaster.ca/lovric/1LS3/1LS3courseoutlineph.html).

As well, you can visit the Science Career Services (BSB/127) where you will be able to obtain information about course equivalences for various schools, professional degree programs, etc. You can also visit their webpage, to see what's there and to make an appointment to talk a counselor.

*** The outline of activities and the marking scheme are for general guidance only. The instructor reserves the right to modify parts of either as circumstances may dictate. ***

MATH 1LT3: CALCULUS II FOR THE LIFE SCIENCES
Tentative Course Information Summer 2022

** Note 1: All course information will be posted on this webpage.You are expected to check the webpage often, at least before each lecture (if you think you will not be able to do it, talk to your instructor as soon as possible).

** Note 2: In addition to this webpage, MS Teams will be used to access lecture materials and attend virtual office hours, Avenue to Learn will be used to access Echo360 recordings of in-person lectures and manage grades, and Childsmath will be used to access and submit course assignments.

Instructor:
Office:
Email:
Erin Clements
Virtual Office in MS Teams

*** The Math Help Centre is a learning space where you can get free help from experienced tutors - no appointment necessary! For further information, click here.

Lectures:

Section When Where
C01

Tuesday & Thursday, 7pm - 10pm

HH 109

Lecture Format:
This semester, I plan to teach all content synchronously (i.e. you do not need to watch any videos ahead of our lectures). I will post outlines of my lecture notes ahead of time on our webpage under the
SCHEDULE AND HOMEWORK link. While it's optional that you download these, many students find these outlines helpful for notetaking. Lectures will be recorded using the Echo360 classroom technology and these recordings will be uploaded to Avenue shortly after lecture.

Text Resources:
1. Math 1LS3 textbook.
"Calculus for the Life Sciences: Modelling the Dynamics of Life", by F. R. Adler and M. Lovric, Second Canadian Edition, published by Nelson Education, 2015. ISBN10: 0-17-653078-9. ISBN13: 978-0-17-653078-5. Note: In Math 1LT3, we only cover chapter 8 from this textbook, however earlier chapters may be referenced as motivation/review for chapter 8 material.
2. Functions of Several Variables Module.
This is a paperback module to accompany the Math 1LS3 textbook available separately in the bookstore or sold together with the Math 1LS3 textbook in a bundle. Note: We cover almost all content in this text, so it is highly recommended that you obtain a copy. Old and new versions are identical in terms of content, so please feel free to buy secondhand, whenever possible.
3. Probability and Statistics Module.
This is a paperback module to accompany the Math 1LS3 textbook available separately in the bookstore or sold together with the Math 1LS3 textbook in a bundle. Note: We cover almost all content in this text, so it is highly recommended that you obtain a copy. Old and new versions are identical in terms of content, so please feel free to buy secondhand, whenever possible.
4. Student Solutions Manual for the textbook (optional).
Selected solutions to the odd-numbered exercises in the text. Note: Final answers to odd-numbered exercises are at the back of the textbook. This manual provides detailed solutions to these exercises. Note: In Math 1LT3, you would only use this manual to view full solutions to odd-numbered questions in Chapter 8.
5. Solutions to the odd-numbered questions for the two modules are free; the links are posted under the SOLUTIONS link on the course web page.

Assignments:
There will be six online assignments corresponding to lecture topics assigned regularly throughout the semester. These assignments will be accessed and submitted on Childsmath.
(Childsmath is an online assessment system which was developed by Dr. Aaron Childs in our department. You can practice entering answers symbolically by accessing the SystemTutorial, under the Open Resources heading.) Details (e.g., assignment due dates, new assignment postings) will be provided in the SCHEDULE AND HOMEWORK section of our course webpage.

Tests:
There will be two tests, which will be held during class time. Details (e.g., material that will be covered, test procedure, etc.) will be announced on the course webpage approximately one week before the test. Only the standard McMaster calculator, Casio fx991MS or Casio fx991MS PLUS, may be used during tests.

Tentative Test Dates/Times:

Test 1: July 7, 2022; 7pm – 8pm
Test 2: July 26, 2022; 7pm – 8pm

Final Examination:
There will be a cumulative, 2.5 hour final exam on the last day of class. Details (e.g., material that will be covered) will be announced on the course webpage approximately one week before the exam. Only the standard McMaster calculator, Casio fx991MS or Casio fx991MS PLUS, may be used during the exam.

Final Exam Date: August 4, 7pm-9:30pm

Course Evaluation:

Assignments 15%
Tests 40%
Final Exam 45%

 

 

 

The instructor reserves the right to change the weight of any portion of this marking scheme. For students in good academic standing, other weights might be considered. In either case, the final mark will be computed using this weighting and the new weighting(s). The highest score for a particular student will be their final grade.

At the end of the course the grades may be adjusted but this can only increase your grade and will be done uniformly. The grade equivalence chart published in the Undergraduate Calendar will be used to convert between percentages and letter grades.

Marks and Mark Corrections:

As the term progresses, assignment grades will be posted in Childsmath and test grades will be posted on Avenue. It is your responsibility to check for errors in the grades before the day of the final exam, and to report any discrepancies to your instructor. No errors will be corrected unless reported by this time.

In case of difficulty/problems:

Contact your instructor as soon as possible. Failing that, talk to a student adviser in *your* faculty. They can help you with all kinds of issues and academic inquiries (such as longer or repeated absences, requests for deferral of exams, course selection, adding or dropping courses, getting in and out of various programs, and so on). If you are in Science, check the Associate Dean's Office webpage.

 

** Please Note the Following Policies and Statements **


Conduct Expectations:

As a McMaster student, you have the right to experience, and the responsibility to demonstrate, respectful and dignified interactions within all our living, learning and working communities. These expectations are described in the Code of Student Rights & Responsibilities (the "Code"). All students share the responsibility of maintaining a positive environment for the academic and personal growth of all McMaster community members, whether in person or online.

It is essential that students be mindful of their interactions online, as the Code remains in effect in virtual learning environments. The Code applies to any interactions that adversely affect, disrupt, or interfere with reasonable participation in University activities. Student disruptions or behaviours that interfere with university functions on online platforms (e.g. use of Avenue, MS Teams or Zoom for delivery), will be taken very seriously and will be investigated. Outcomes may include restriction or removal of the involved students' access to these platforms.

Additional information about the Code and etiquette can be found here.

Online Course Behaviour Guidelines:

McMaster is committed to an inclusive and respectful community. These principles and expectations extend to online activities including electronic chat groups, video calls and other learning platforms. If you are concerned about your virtual classroom experiences, the Equity and Inclusion Office (EIO) is available to advise and assist students who may be experiencing any equity, accessibility, inclusion, harassment, discrimination or sexual violence concerns. You can reach the EIO at https://equity.mcmaster.ca/contact-us.

Thank you for joining us in ensuring that our McMaster online communities are spaces where no one feels excluded and everyone is able to enjoy learning together. Students who have access to authorized recorded lectures in a course may use these recordings only for personal or group study and should not reproduce, share or upload the recording to any publicly accessible web environment. Similarly, notes, slides, evaluations and tests are for personal use and should not be shared with others outside of a course.

Courses with an online element:

In this course we will be using Avenue to Learn, Childsmath, MS Teams, and an external course webpage https://ms.mcmaster.ca/~clemene/math1LT3E.html. Students should be aware that, when they access the electronic components of this course, private information such as first and last names, user names for the McMaster e-mail accounts, and program affiliation may become apparent to all other students in the same course. The available information is dependent on the technology used. Continuation in this course will be deemed consent to this disclosure. If you have any questions or concerns about such disclosure please discuss this with the course instructor.


Online Proctoring:

Some courses may use online proctoring software (e.g. Respondus) for tests and/or exam. This software may require students to turn on their video camera, present identification, monitor and record their computer activities, and/or lock/restrict their browser or other applications/software during tests or exams. This software may be required to be installed before the test/exam begins. If you have questions about whether this software will be used, or concerns about the use of this software, please contact your instructor.

Copyright and Recording:

Students are advised that lectures, demonstrations, performances, and any other course material provided by an instructor include copyright protected works. The Copyright Act and copyright law protect every original literary, dramatic, musical and artistic work, including lectures by University instructors.

The recording of lectures, tutorials, or other methods of instruction may occur during a course. Recording may be done by either the instructor for the purpose of authorized distribution, or by a student for the purpose of personal study. Students should be aware that their voice and/or image may be recorded by others during the class. Please speak with the instructor if this is a concern for you.

Sharing and posting of course material
Students who have access to authorized recorded lectures in a course may use these recordings only for personal or group study and should not reproduce, share or upload the recording to any publicly accessible web environment. Similarly, notes, slides, evaluations and tests are for personal use and should not be shared with others outside of a course.

McMaster Student Absence Form (MSAF):

In the event of an absence for medical or other reasons, students should review and follow the Academic Regulation in the Undergraduate Calendar Requests for Relief for Missed Academic Term Work. Please note these regulations have changed beginning Fall 2015. You can find information at mcmaster.ca/msaf/. If you have any questions about the MSAF, please contact your Associate Dean's office.

Late withdrawal:

McMaster University provides a Late Withdrawal option to assist students who have become irretrievably behind in a course. Students who have fallen behind with assignments and/or are not prepared to write final examinations (or equivalent) in one or more courses are encouraged to make use of this option and must contact their Academic Advisor in the Faculty/Program Office. Students will work with their Academic Advisor to discuss the situation and what steps they can take to prevent a recurrence.

The maximum number of units for which students may request a Late Withdrawal is 18 units throughout their undergraduate degree.

Students may request a Late Withdrawal, without petition, no later than the last day of classes in the relevant Term. However, it is important to note that:
* Requests for Late Withdrawal cannot be made in courses for which the final exam (or equivalent) has been attempted or completed. This also includes courses where a final grade has been assigned (e.g. clinical courses).
* Such requests will be cancelled or revoked if it is determined that the student attempted or completed the final exam (or equivalent).
* Students cannot use the Late Withdrawal option for courses in which they are under investigation or for which they have been found guilty of academic dishonesty.

Course(s) approved for Late Withdrawal will be:
* Assigned a non-numeric grade of LWD, in lieu of an alpha/numerical grade
* Excluded from the calculation of the GPA
* Ineligible for tuition refund

Approval of a late withdrawal is final, and requests to be re-enrolled in the withdrawn course(s) will not be considered. A withdrawal will not preclude students from enrolling in the course(s) in a subsequent term.

Acadmic Accommodation of Students with Disabilities:

Students who require academic accommodation must contact Student Accessibility Services (SAS) to make arrangements with a Program Coordinator. Academic accommodations must be arranged for each term of study. Student Accessibility Services can be contacted by phone 905-525-9140 ext. 28652 or e-mail sas@mcmaster.ca. For further information, consult McMaster University's Policy for Academic Accommodation of Students with Disabilities.

Academic Accommodation for Religious, Indigenous and Spiritual Observances:

Students requiring academic accommodation based on religion and spiritual observances should follow the procedures set out in the Course Calendar or by their respective Faculty. In most cases, the student should contact his or her professor or academic advisor as soon as possible to arrange accommodations for classes, assignments, tests and examinations that might be affected by a religious holiday or spiritual observance.

McMaster University Statement on Inclusivity and Academic Integrity:

The University values integrity, inclusiveness and teamwork, and strives to support the personal and collective growth of the McMaster student community. These values are foundational to ensuring campus environments –both in-person and virtual –are conducive to personal wellbeing and academic success.

Inclusivity and a Culture of Respect:

As a McMaster student, you have the right to experience and the responsibility to demonstrate respectful and dignified interactions within all of our living, learning and working communities. It is essential that students be mindful of their interactions online, as the Code remains in effect in virtual learning environments.The Code applies to any interactions that adversely affect, disrupt, or interfere with reasonable participation in University activities.Student disruptions or behaviours that interfere with university functions on online platforms (e.g. use of Avenue 2 Learn, WebEx or Zoom for delivery), will be taken very seriously andwill be investigated. Outcomes may include restriction or removal of the involved students’ access to these platforms.

Academic Integrity and Honesty

You are expected to exhibit honesty and use ethical behaviour in all aspects of the learning process. Academic credentials you earn are rooted in principles of honesty and academic integrity. Academic dishonesty is to knowingly act or fail to act in a way that results or could result in unearned academic credit or advantage. This behaviour can result in serious consequences, e.g. the grade of zero on an assignment, loss of credit with a notation on the transcript (notation reads: "Grade of F assigned for academic dishonesty"), and/or suspension or expulsion from the university. It is your responsibility to understand what constitutes academic dishonesty. For information on the various types of academic dishonesty please refer to the Academic Integrity Policy, located at http://www.mcmaster.ca/academicintegrity. The following illustrates only three forms of academic dishonesty: 1. Plagiarism, e.g. the submission of work that is not one's own or for which other credit has been obtained. 2. Improper collaboration in group work. 3. Copying or using unauthorized aids in tests and examinations.