MATH 110 Differential Calculus
Session 2015W, September 2015 — April 2016
This is the common page for all sections of MATH 110.
For section-specific information, please visit your section's page (links below).
MATH 110 is a two-term course in
differential calculus. It covers the same calculus content as
one-term differential calculus courses, but with additional material
designed to strengthen essential precalculus topics. There is also
an increased emphasis on problem solving.
Other useful links
- April Exam: Monday April 18 at 8:30AM.
- December Exam: Friday Dec 18 at 8:30AM.
- Midterm exams:
- October 26, 2015: Midterm 1, 6PM (time and location to be confirmed)
- February 10, 2016: Midterm 2, evening test (time and location to be confirmed)
The document below gives an approximate schedule of topics covered in the course.
The section numbers refer to the textbook
Contemporary Calculus by Dale Hoffman. Note that, in some
cases, not every topic in a textbook section will be covered (see Note below); and
occasionally a topic will be introduced in class which is not
covered in the textbook (see Other Course Resources
for supplemental notes).
Also, a Week
represents approximately a week's worth of lecture
time, not necessarily a calendar week.
Topics and weekly schedule (PDF document)
Note: You are not responsible for the material in the following sections of the textbook:
section 0.1: all (although I recommend you read this introductory section for your own interest);
Angles between Lines,
Angle Formed by Intersecting Lines;
Iteration of Functions, the Greatest
Integer Function, A Really "Holey" Function;
section 0.5: all;
section 1.2: Comparing the limits of functions;
List method for showing that a limit does not exist;
section 1.3: Bisection Algortihm for approximating roots;
section 1.4: all;
section 2.3: A Really "Bent" function;
section 2.5: Parametric equations;
section 2.7: all;
section 2.8: Relative error and percentage error, the differential of f.
There are 4 main components to the course:
- Assignments: There will be weekly homework assignments.
Each assignment will include a problem set on
WeBWorK, which is
common to all sections of the course and due on Mondays at 10pm.
will also include a written portion that must be handed in at the beginning
of class on the due date. The due date, as well as the content, of the written
homework will vary in each section.
Late assignments will not be accepted.
Homework assignments account for 15% of your final grade. Specifically,
10% for the WebWork component and 5% for the written portion.
The assignment with the lowest score will be dropped in each term.
- Workshops: In addition to regular lectures, every student is
assigned to a weekly problem-solving workshop run by teaching
assistants and instructors. These workshops are an integral part of the course, and
mandatory. Your workshop grade is based on attendance and participation in the workshop
activities in at least 10 out of 11 workshops each term.
Workshops account for 15% of your final
- In-class quizzes and other activities: There will be short biweekly quizzes in each section.
Each instructor may also decide to run other in-class activities (worksheets, etc.) that may or may not
count for marks. Altogether in-class quizzes/activities account
for 5% of your final grade.
- Tests and Exams: There will be two 90-minute midterm tests,
on October 26 and February 10 (TBC).
Each is worth 10% of
your final grade. Furthermore, there will be two 150-minute exams, one in December worth
20% of your final grade, and one in April worth 25% of your final
grade. Both exams are cumulative. The dates of these exams are to be determined.
The required textbook is Contemporary
Calculus by Dale Hoffman. This is an online textbook available for
free under the Creative Commons license.
You can download it here.
You are encouraged to download a copy; you may
also print it out if you wish.
OTHER COURSE RESOURCES
- Supplemental Notes:
A few topics discussed in this course are not covered in the textbook. This page provides a list of resources to help you review these topics.
- Notes on Antiderivatives: here (only section 1.0).
- Notes on Taylor polynomials: here (only Section 1, ignore Section 2 and 3).
- Notes on Exponential Growth and Decay models: here (ignore the Financial Model and the Resource Consumption model)
- Notes on Exponential and Logarithm Functions:
- Notes on Trigonometric Functions:
- Notes on Inverse functions: Carrol College Active
Calculus Textbook: Section 0.3 Inverse Funtions (page 24).
- WeBWorK: WeBWorK is an online free homework system
that provides instant feedback and allows multiple attempts to each question. There will be weekly assignments to be
completed on WeBWorK common to all sections.
- Piazza: Piazza is an online discussion board where students can post questions and answers about anything
related to the
- Math Learning Centre:
Tutors are available,
at no charge, to answer questions on a drop-in basis, starting
the second week of classes. Term 1 Schedule will be posted soon at the link above.
- PASS. Peer Assisted Study Sessions (PASS) are non-mandatory
peer-led sessions designed to help improve study skills and mastery
of course material. There are a number of specially trained PASS
leaders assigned to MATH 110. More information
will be presented in class.
tutoring: The UBC student society provides an
assortment of tutoring services.
Department website: There is much available under
the Undergraduates tab, including recent final exams for most
undergraduate mathematics courses.
INSTRUCTORS and SECTION WEBSITES
Grade summary A student's final grade is based on assignments
(15%), workshops (15%), midterm tests (10% each), section-specific in-class work (5%),
the December exam (20%) and April exam (25%).
No calculators or electronic communication devices
are allowed at during exams and quizzes. Formula sheets are also not allowed.
Missed Work or Tests: If a test is missed for
a documented medical or other reason, it will be ignored. Permission
to write a makeup midterm may be granted in the following two
circumstances: (a) a scheduling conflict with other courses or labs,
(b) prior notice of a valid, documented absence
(e.g. out-of-town varsity athletic commitment accompanied by a letter from a coach)
on the scheduled
date; or (c) notification to the instructor within 72 hours of
absence due to medical condition. Original written documentation,
for example a doctors note, is required;
otherwise, a score of 0 will be given for the missed test.
Math instructors do not have the authority to sign forms to change course registration. The
Mathematics Department handles all requests for registration changes centrally.
See http://www.math.ubc.ca/Ugrad/ugradRegistration.shtml for information on how to
change your MATH course registration.
- Information on academic integrity may
be found in the UBC Calendar. You are responsible for understanding
and following the code of academic honesty and standards.
UBC takes cheating incidents very seriously. After due investigation,
students found guilty of cheating on tests and exams are usually
given a final grade of 0 in the course, suspended from UBC
for one year, and a notation made on their Transcript of Academic Record.