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Accumulated material from recent offerings of 1210 by various instructors, some of which may be useful. When answers or solutions are available, they are here:

Rob Borgersen's worksheets:

- Induction Examples - Questions.
- Induction Examples - Solutions.
- Complex Numbers: Cartesian to Polar and Exponential.
- Complex Numbers: Exponential to Cartesian.
- Matrix Multiplication.
- REF Practice.
- RREFPractice.
- Equation solving (solutions use Gauss-Jordan).

Material from winter 2016 offering:

- Midterm, the final exam, and the midterm from the summer (intersession) term. Sorry, no solutions. I'll try to get this broken up into three files someday.
- Just the Exam.

Material from fall 2015 offering:

- Exam.
- Midterm.
- Midterm solutions.
- Assignment 1. These assignments are similar to those of Fall 2010.
- Assignment 1 solutions.
- Assignment 2.
- Assignment 2 solutions.
- Assignment 3.
- Assignment 3 solutions. The third line of the solution of number 13 is not what is intended.
- Assignment 4.
- Assignment 4 solutions.
- Assignment 5.
- Assignment 5 solutions.

Material from spring 2015 offering:

- Exam.

Material from winter 2015 offering:

Material from autumn 2014 offering:

Material from winter 2014 offering:

Material from autumn 2013 offering:

Material from summer 2013 offering:

Material from winter 2013 offering:

- Exam sideways.
- Midterm.
- Midterm solutions.
- Assignment 1.
- Assignment 1 solutions.
- Assignment 2.
- Assignment 2 solutions.
- Assignment 3.
- Assignment 3 solutions.
- Assignment 4.
- Assignment 4 solutions.

Material from autumn 2012 offering:

- Exam.
- Exam Solutions.
- Midterm.
- Midterm solutions.
- Assignment 1.
- Assignment 1 solutions.
- Assignment 2.
- Assignment 2 solutions.
- Assignment 3.
- Assignment 3 solutions.
- Assignment 4.
- Assignment 4 solutions.

Material from winter 2012 offering:

- Exam.
- Midterm.
- Assignment 1.
- Assignment 1 solutions.
- Assignment 2.
- Assignment 2 solutions.
- Assignment 3.
- Assignment 3 solutions.
- Assignment 4.
- Assignment 4 solutions.
- Assignment 5.
- Assignment 5 solutions.

Material from autumn 2011 offering:

- Text Induction problems 1--21 solved by Dr Mladen Despić.
- Text Induction problems 22--34 solved by Dr Andriy Prymak. (Note: 3 MB)
- Exam.
- Midterm 1.
- Midterm 1 solutions.
- Midterm 2.
- Midterm 2 solutions.

Material from Winter 2011 when I delivered the course:

- Exam.
- Here are test 1 and test 2 and solutions to the first test and to the second.
- 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, where the month is a digit from 1 to 4, the hyphen is just a hyphen, and the day is in two-digit form running from 01 to 31, for example, 1-05, 1-07, 1-10, ..., 4-08. These are Monday, Wednesday, Friday dates from 2011, when January began on a Saturday.
- Supplementary notes for the topic between Unit 2 and Unit 3, vectors. Exercises for those notes. Answers. Solutions. As it says in them, these notes were written by Prof. Tom Berry and Dr Michelle Davidson of the Mathematics Department and are kindly made available to you.
- Sigma exercise (pdf file, 1 page).
- Binomial theorem (as example of induction)(pdf file, 2 pages).
- A second set of notes on vectors in case they may be helpful. These notes were written by Prof. Tom Holens of the Mathematics Department and St John's College. He is the holder of the copyright and has kindly allowed them to be made available here. The pdf file is 773K in size. Second chapter 719K file on vectors in three dimensions. The answers to the exercises are also Prof. Holens's and occupy 600K. Answers to exercises in both chapters
- Determinant Notes These notes were written by Prof. Tom Holens of the Mathematics Department and St John's College. He is the holder of the copyright and has kindly allowed them to be made available here. The pdf file is 241K in size. The answers to the exercises are also his and occupy 79K (pdf, 2 pages).
- Answers to the exercises in the Determinant Notes
- Setting up the eigenvalue/eigenvector problem (scanned pdf file, 1 page).
- Working out of eigenvalue/eigenvector problem (pdf file, 2 pages).

Accumulated material from previous offerings of 1210 by various instructors, some of which may be useful. When answers or solutions are available, they are here:

Material from autumn 2010 offering:

- Solutions to a few text induction exercises (1.1.1) by R. Craigen and R. Thomas. All above are by others.
- Assignment 1. These assignments are similar to those of Fall 2015.
- Assignment 1 Solutions.
- Assignment 2.
- Assignment 2 Solutions.
- Assignment 3.
- Assignment 3 Solutions.
- Assignment 4.
- Assignment 4 Solutions.
- Assignment 5.
- Assignment 5 Solutions.
- Mid-term test, answers, and solutions.
- Deferred Exam.

- Exam.

- Test 1, solutions, commentary (pdf file, 4 pages).
- Test 2, answers (pdf file, 2 pages).
- Exam, answers.

- Quarter 1 (pdf file, 1 page).
- Quarter 2 (pdf file, 1 page).
- Quarter 3 (pdf file, 1 page).
- Quarter 4 (pdf file, 1 page).

- June Final examination (pdf file, 2 pages).
- June Examination answers (pdf file, 1 page).

- April Final examination (pdf file, 1 page).
- April Examination answers (pdf file, 1 page).

- Final Examination (pdf file, 4 pages). Answers (small pdf file, 1/2 page).

Possibly useful documents from 1700, winter 2010:

- Expected solutions---and some unexpected solutions---of the mid-term test.
- 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 page-by-page course outline provided for the sixth edition of the text in the common course outline is also available here for the fifth edition of the text. They both contain lists of exercises suggested by someone sometime for some edition of the book.
- Prof. Arthur Gerhard, retired professor of mathematics, 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.) or bought in the Bookstore.
- He also maintained a file of term tests and examinations, which I brought up to date in 2009. They are available here or as appendices to his notes in the Bookstore.
- 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. There seems to be a lot of material to explore---and more important work on MIT calculus course. I think you have plenty to do with Stewart.
- 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.

Further suggestions would be welcome. - Out of the blue early in January (2010) Dr Earl Bloch, a medical professor in Washington D.C., sent the following link, which has some obvious virtues. Not all of it applies to this course, but much of it does. He calls it a study guide. He was kind enough in April 2014 to send a correction to that link.

Non-current material:

- Vector Geometry Review Questions and Answers (pdf, 3 pages).

Updated 2016 9 8.

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 thomas@cc.umanitoba.ca .