|Assignment 1||Wed, July 7||A1 Solutions|
|Assignment 2||Mon, July 12||A2 Solutions|
|Assignment 3||Wed, July 14||A3 Solutions|
|Assignment 4||Mon, July 19||A4 Solutions|
|Assignment 5||Wed, July 21||A5 Solutions|
|Assignment 6||Mon, July 26||A6 Solutions|
|Assignment 7||Wed, July 28||A7 Solutions|
|Assignment 7.5||Not graded||A7.5 Solutions|
|Assignment 8||Mon, Aug 9||A8 Solutions|
|Assignment 9||Wed, Aug 11||A9 Solutions|
|Assignment 10||Mon, Aug 16||A10 Solutions|
The swimming / running optimization problem: There was one final step in Wednesday's optimization problem that we didn't do in class.
We were looking for the absolute minimum of the function T, and we checked the critical number x=75;
but recall that when you have a closed interval, the absolute extrema may occur at one of the endpoints.
In our first two examples, this didn't matter because the range of possible values for width (in the farmer example) and radius (in the soup example) were open intervals;
we could make the width or radius very small but we could not have width=0 or radius=0 because we wouldn't have a field or soup can if we did.
However, in the swim / run problem, x could be 0 (swim straight across the river first) and x could be 300 (swim directly to the man).
So we have to check these endpoints and see if the value of T is smaller there than at x=75.
Click to see the full solution to the swim / run example.
Room change: Our classroom has been changed to Dunn 302 for the remainder of the semester.
Changes to office hours: Please note the new office hours as listed above.
Calculus prep: Although meant to be read prior to taking university calculus, this still may be a useful resource: Preparing for University Calculus.
Learning centre hours: The learning centre (LSC 206) is now only open from 4 to 6pm, Monday -- Thursday.
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Please check this section for information about homework and / or solutions, changes to office hours, possible class cancellations, etc.