Calculus With Applications

Brock University

Lines, polynomials, logarithms and exponential functions; two-sided limits; rates of change using derivatives; max and min of functions using derivatives; higher derivatives and concavity; area under a curve using integrals; optimization of functions of two variables using partial derivatives; growth and decay using differential equations; applications to many different disciplines; use of computer algebra systems.
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24HR Notes for MATH 1P97

Available 24 hours after each lecture

Anton Knigavko

Current Lecture
MATH 1P97 Lecture 5:

Mathematics and Statistics
Anton Knigavko
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Available as soon as 15 Feb 2019

Mathematics and Statistics
Anton Knigavko

MATH 1P97 Syllabus for Anton Knigavko — Winter 2019

Math 1P97 - Calculus with Applications
Course Outline
Winter 2018
Section Day Time Room Instructor Email
1 MWR 10:00am - 11:00am DHOWES C. Asselin
T 11:00am - 12:00pm
2 T 10:00am - 11:00am DHOWES M. Babela
MRF 1:00pm - 2:00pm
3 R 7:00pm - 10:00pm THSOS A. Knigavko
4 Online Online Online M. Willoughby
Note: Classes at Brock University end ten minutes ahead of the hour or half hour to facilitate
transfer time.
Office hours for the instructors will be posted on the course website on Sakai.
Emails with administrative questions must include your name and student ID#. Emails will
be answered within two (2) working days. Please note that assignment help or questions on
the course content will not be answered by email. If you need help in the course, please see
your instructor during office hours, or visit the Mathematics Learning Centre in MC J434 or on-
line at
Math 1P20 or one grade 12 mathematics credit. Note: designed for students in Biological
Sciences, Biotechnology, Business, Earth Sciences, Economics, Environmental Geoscience and
Medical Sciences. Not open to students with credit in any university calculus course.
Upon successful completion of the course, students will be able to:
differentiate and integrate polynomial, rational, exponential and logarithmic functions.
identify and apply methods of differentiation and integration to problems of optimization
and area determination.
formulate and solve differential equations, with applications to topics such as growth and
identify partial derivatives and local extrema of multivariable functions.
solve calculus problems in a logical, algorithmic procedure using proper mathematical
use mathematical graphs of functions to illustrate and interpret relevant calculus concepts.
utilize computer software to carryout various mathematical calculations and procedures,
and be able to interpret and apply the resulting output.
Applied Calculus for the Managerial, Life, and Social Sciences (A Brief Approach) (10th Edi-
tion), by S. Tan
This course will require the use of Maple 2018, which is included with the purchase of your
textbook. Maple is a powerful Computer Algebra System (CAS) that allows you to perform
numerical and symbolic calculations in a precise and very fast way. It allows you also to gain
insight to mathematical problems through exploration and experimentation. Proficiency with a
CAS is an essential skill to acquire for the 21st century learner. Maple is thus is an integral and
essential part of the course. All written assignments, term tests 1 and 2, and the final exam will
have a Maple component. It is recommended that you install Maple on your personal computer.
Maple is also available on all computers across campus, with the exception of computers in the
Below is the link to library reserve items that are currently available
Five (5) written assignments, each worth 4% 20%
Four (4) WeBWorK online assignments, each worth 2.5% 10%
Term Test 1: Saturday, February 9, 11:30 am - 12:45 pm 12%
Term Test 2: Saturday, March 16, 12:30 pm - 1:45 pm 18%
Final Exam: TBA by Registrar 40%
NOTE: Overriding these marks, a student must obtain at least 30% on the final
exam in order to pass the course.
For each term test and the final exam, you must bring a pen/pencil and a non-programmable,
non-graphing calculator. A list of approved calculators are provided on the course Sakai page.
Using a cell phone for a calculator, or any unauthorized electronic device, is not permitted.
Instructors and/or invigilators may inspect or confiscate unauthorized calculators. No external
resources are allowed. A formula sheet will be provided with each term test and the final exam.
For studying purposes, the formula sheet will be available online one week before each term test
and the final exam.
Written assignments will be posted on Sakai 10 days before the scheduled deadline, and WeB-
WorK assignments will be opened online 10 days before the scheduled deadline. All assignments
(written and online) must be completed individually, and submitted on or before the specified
deadlines. All assignments will be monitored for compliance that they are completed individ-
ually, reflect your own work, and adhere to the Academic Regulations and University Policies
entry in the Undergraduate Calendar. Any assignment submitted after the deadline, without
prior consent from your instructor, will receive a grade of zero (0).
Written assignments must be written as single-sided pages, and include a cover page with your
NAME, STUDENT ID#, BOX#, and ASSIGNMENT#. A sample cover page is on the course
Sakai website. Any required computer output must be appropriately labeled; marks will be lost
if questions are not clearly identified. Marks will also be lost if the assignment is not stapled in
the top left corner, not written neatly and legible, submitted on ripped spiral paper, questions
not submitted in order, or written in red pen.
Note that only a subset of the submitted questions will be marked.
Assignments are to be submitted to the wood locked boxes, according to the first letters of
your last name, outside of the Mathematics Learning Centre (MC J434). Box assignments will
be posted on our Sakai page.
Online assignments are available through the online system WeBWorK. Instructions on how to
log-in and use WeBWorK are available on Sakai. Each assignment is allotted sixty (60) minutes
for completion, and you will have five (5) attempts per assignment. The allowance of multiple
attempts is to account for computer problems, power outages, etc. that may interrupt your
WeBWorK session. No additional attempts per assignment will be permitted. Instructions for
WeBWorK and frequently asked questions are posted to our Sakai page.
In addition to your Instructors office hours, the Mathematics Learning Centre (MC J434) is
the primary resource for students requiring assistance with course content and/or assignments.
Teaching Assistants specifically for Math 1P97 will be available to answer assignment questions,
clarify course material, or assist you with practice questions. Hours for Math 1P97 TAs will be
posted on Sakai and on the schedule beside the door to the Help Center.
Student Health Services. 905-688-5550 x3243
Student Accessibility Centre/Personal Counselling. 905-688-5550 x3240
Student Ombudsperson.
Campus Security. 905-688-5550 x4300 (non-crisis), x3200 (crisis)
- subject to change
Monday, January 14 at 8:30 am WeBWorK Assignment 1
Friday, January 18 Last day to add/drop course online,
and without financial penalty
Thursday, January 24 at 6:30 pm Written Assignment 1
Monday, January 28 at 8:30 am WeBWorK Assignment 2
Saturday, February 9 @ 11:30 am Term Test #1
Thursday, February 14 at 6:30 pm Written Assignment 2
February 18 - February 22 Reading Week - No Classes
Monday, March 4 at 8:30 am WeBWorK Assignment 3
Thursday, March 7 at 6:30 pm Written Assignment 3
Friday, March 8 Last day to withdraw from course
without academic penalty
Saturday, March 16 @ 12:30 pm Term Test #2
Thursday, March 21 at 6:30 pm Written Assignment 4
Monday, March 25 at 8:30 am WeBWorK Assignment 4
Thursday, April 4 at 6:30 pm Written Assignment 5
April 10 - April 24 Exam Period
This assignment may not be returned before the term test/exam. The solutions will be posted
after the due date. It is advisable to keep photos or a scanned copy of your solutions to compare.
- subject to change
Week Textbook Section
Week 1 (Jan 7 - Jan 11) Pre-Calculus Review (Chapter 1), 2.12.3
Week 2 (Jan 14 - Jan 18) 2.4,2.5
Week 3 (Jan 21 - Jan 25) 2.6,3.1,3.2
Week 4 (Jan 28 - Feb 1) 3.33.6
Week 5 (Feb 4 - Feb 8) 3.6,4.1,4.2, Term Test 1 Review
Week 6 (Feb 11 - Feb 15) 4.44.5
February 18 - February 22 Reading Week
Week 7 (Feb 25- Mar 1) 5.15.4
Week 8 (Mar 4 - Mar 8) 5.5,5.6,6.1,6.2
Week 9 (Mar 11 - Mar 15) 6.26.4, Term Test 2 Review
Week 10 (Mar 18 - Mar 22) 6.56.6
Week 11 (Mar 25 - Mar 29) 7.3, 8.1, 8.2
Week 12 (Apr 1 - Apr 5) 8.3, Review
The majority of course content will be covered in lectures. However, students are responsible
for all of the content listed above, regardless of the extent to which it was discussed in class.
The University will accommodate students whose studies become interrupted, or who may be
unable to complete academic work, due to an incapacitating medical condition. In these situ-
ations, the student must complete the Brock University Student Medical Certificate or Brock
University Student Health Services Medical Certificate (or in case of a concussion, the Brock
University Student Health Services Medical Concussion Certificate) and include any relevant
medical documentation to support the request for academic accommodation based on medical
grounds. The University may, at its discretion, request more detailed documentation in certain
NOTE: If a student is absent due to medical reasons on a day and a time when
the Brock Student Health Services (SHS) is open, then an SHS medical certificate
is required. Otherwise, the student must (1) print a Brock medical certificate, (2)
Go to another medical facility e.g., a walk-in clinic, and (3) Have the examining
physician complete the Brock medical certificate. Any other certificate will not
be accepted. All certificates will be monitored for compliance with the Academic
Regulations and University Policies entry in the Undergraduate Calendar.
For each term test, accommodation will be made for students who must miss a term test due
to a valid and documented medical illness. Students who miss one original term test date, with
documentation, will have the weight of the missed term test added to their final exam. If both
term tests are missed, with documentation, the weight of the second term test will be added
to the final exam, while the first term test will receive a grade of zero (0). All applications
for permission to defer a term test must be made, with appropriate documentation and full
explanation of the extenuating circumstances, to your instructor in advance of the original date
and time of the term test.
The final exam period is Wednesday, April 10 to Wednesday, April 24. Students are advised
not to make travel plans or schedule events in advance prior to the release of the Term Test
Schedule and Final Exam Schedule. Students who make personal commitments during the term
or exam period do so at their own risk. Vacation plans, nonessential appointments or events do
not constitute grounds for the deferral or re-scheduling of term tests or final exams.
To accommodate students who must miss the exam due to a valid and documented medical
illness, a secondary date will be scheduled with your instructor. All applications for permission
to defer the exam must be made, with appropriate documentation and full explanation of the
extenuating circumstances, to your instructor within seven (7) days of the original exam date.
Make-up exams will be scheduled as soon as possible upon return to studies, and additional
medical notes will be required if extenuating circumstances warrant a further extension. If an
exam is not scheduled within the first two (2) weeks of the next term due to documented medical
illness, the exam will be written in the next exam period. All make-up exams will adhere to the
Academic Regulations and University Policies entry in the Undergraduate Calendar.
Requests for assignment or test regrading must be made in writing to your instructor, detail-
ing which question(s) you would like to have regraded, and justification for why you believe
the assigned mark is erroneous. Please note that when submitting your assignment or test for
regrading, your instructor reserves the right to regrade the entire assignment/test, which may
result in an equivalent, higher, or lower mark than originally awarded.
As part of Brock University’s commitment to a respectful work and learning environment, the
University will make every reasonable effort to accommodate all members of the university com-
munity with disabilities. If you require academic accommodations related to a documented
disability to participate in this course, you are encouraged to contact Students Accessibility
Services in the Student Development Centre (4th floor Schmon Tower, ex. 3240). You are en-
couraged to discuss any accommodations with the instructor well in advance of due dates and
scheduled assessments.
Brock University acknowledges the pluralistic nature of the undergraduate and graduate commu-
nities such that accommodations will be made for students who, by reason of religious obligation,
must miss an examination, test, assignment deadline, laboratory or other compulsory academic
event. Students requesting academic accommodation on the basis of religious obligation should
make a formal, written request to their instructor(s) for alternative dates and/or means of sat-
isfying requirements.
Academic misconduct is a serious offence. The principle of academic integrity, particularly of
doing ones own work, documenting properly (including use of quotation marks, appropriate
paraphrasing and referencing/citation), collaborating appropriately, and avoiding misrepresen-
tation, is a core principle in university study. Students should consult Section VII, Academic
Misconduct, in the Academic Regulations and University Policies entry in the Undergraduate
Calendar, available at to view a fuller description of prohibited
actions, and the procedures and penalties.
All slides, presentations, handouts, tests, exams, assignments, solutions, websites and other
course materials created by the instructor in this course are the intellectual property of the
instructor. A student who publicly posts or sells an instructors work, without the instruc-
tors express consent, may be charged with misconduct under Brocks Academic Integrity Policy
and/or Code of Conduct, and may also face adverse legal consequences for infringement of
intellectual property rights.

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