Course Material
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This page has links to MATH 1210 material prepared by a variety of instructors over a period of more than ten years. Some of it has been found useful, and it continues to be added to. It begins with learning material and concludes with old tests, some with solutions, final examinations, and assignments, again some with solutions. Solutions not here are almost certainly unavailable. At the end there are some things pertaining to other courses.
Induction
- Solutions to a few text induction exercises (1.1.1) by Dr R. Craigen and Dr R. Thomas.
- Text Induction problems 1--21 solved by Dr Mladen Despić.
- Text Induction problems 22--34 solved by Dr Andriy Prymak. (Note: size 3 MB)
Etc.
Rob Borgersen's worksheets:
My winter 2011 lecture notes are available from URLs without links by typing the lecture date into your browser as an add-on to this page's address in the form month-day. These are Monday, Wednesday, Friday dates from 2011, when January began on a Saturday. For example, https://home.cc.umanitoba.ca/~thomas/Courses/1-05 . That is, Introduction 1-05, Induction 1-07, 1-10, Sigma 1-12, Complex numbers 1-14, 1-17, 1-19, 1-21, Polynomial equations 1-24, 1-26, 1-28, 1-31, 2-02, Geometry 2-04, Vectors 2-07, 2-09, 2-11, 2-14, 2-16, 2-18, Matrices 2-28, 3-02, Linear equations 3-04, 3-07, 3-09, 3-11, Determinants 3-14, 3-16, 3-18, Linear dependence 3-21, 3-23, Inverse matrices 3-25, 3-28, Linear transformations 3-30, 4-01, 4-04, April 2008 examination 4-06, 4-08.
Material from winter 2024 offering:
Material from fall 2023 offering:
Material from winter 2023 offering:
Material from fall 2022 offering:
Material from winter 2022 offering:
Material from fall 2021 offering:
Material from winter 2021 offering:
Material from fall 2020 offering (topics in different order):
Material from winter 2020 offering:
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Material from winter 2018 offering:
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Material from winter 2015 offering:
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Material from winter 2013 offering:
Material from autumn 2012 offering:
Material from winter 2012 offering:
Material from autumn 2011 offering:
Material from winter 2011 offering:
Material from autumn 2010 offering:
Material from winter 2010 offering:
Material from fall 2009 offering:
Material from summer 2009 offering:
Material from winter 2009 offering:
Material from fall 2008 offering:
Material from winter 2008 offering:
Material from autumn 2007 offering (documents of 35 to 50 KB each). The course was divided into quarters, and practice problems were issued without solutions for each quarter. One of the instructors passed these on for your use.
Material from summer 2007 offering
Material from winter 2007 offering
Material from autumn 2006 offering
Possibly useful documents from MATH 1700, winter 2010:
- Prof. D. Trim has made available two electronic handouts taken at my request from his notes for MATH 1210 and covering background that will help one of the techniques of integration make more sense to you. Also allow you to use it better. They are on complex numbers and factoring polynomial equations. Unless you have taken 1210 or are taking it now, you should download these, print them, and bring them to lectures. This material is partly ignored and partly presupposed by Stewart, not discussed in the text.
- The late Prof. Arthur Gerhard made available when he was teaching this course and brought up to date in 2009 the notes on which my lectures will be based. You may find it useful to have them available before the lectures. They can be downloaded here (Some diagrams do not reproduce properly when I download them.).
- He also maintained a file of term tests and examinations, which I brought up to date in 2009.
- Other sources of material that may be of use to you are presented through the Open CourseWare Consortium. Several universities like MIT and Notre Dame in the US as well as other institutions elsewhere have made available a lot of material. The link below is to a course similar to 1700 at MIT, the only relevant course I found easily.
- Links that have been suggested by students---initially by one student---are as follows (no warranty expressed or implied):
Graphing calculator, requires java. "It features plugins for implicit, polar, and parametric equations, along with a lot of other things I don't use." There is a manual link right at the top of the page if you're puzzled.
An online integrator, Mathematica notation. "Doesn't show the steps but can be useful in checking to see if one step of a given question was done properly."
An online differential calculator, Mathematica notation. Shows all of the steps of differentiation, including simplification. For some reason it does not allow one to find only a first derivative; it insists on both first and second.
One link to what are many introductory lectures available on YouTube. Using the link gets you to a small catalogue of them.
Non-current material:
Updated 2023 6 16.
This site is maintained by:
R.S.D. Thomas
Department of Mathematics
The University of Manitoba
Winnipeg, Manitoba
Canada R3T 2N2
Inquiries can be sent to the above address or to robert.thomas@umanitoba.ca .