Parker Glynn-Adey

MAT B41 — Week 10

Posted in 2018 -- MAT B41, Lecture Notes, Uncategorized by pgadey on 2018/07/17
(Photo by Ian Alexander) Homework #5 (tex) is available. Drop deadline next Monday.

There has been a minor change to the syllabus: Homework 6 will now be assigned in Week 11 and due in Week 12.

Additional resources:

Geogebra Demonstrations:

Suggested Exercises:

  • 5.1 Introduction to Double and Triple Integrals: 1,2,3,8,9,13
  • 5.2 The Double Integral over a Rectangle: 1,2,3,4,5,6
  • 5.3 The Double Integral over a More General Regions: 1,2,3,7,13

Past Finals:

  • Final 2015: Find the volume of the solid B bound by the parabolic cylinder x = (y-4)^2 + 3 and the planes z=x+2y-4, z=x+4y-7, and x+2y=11.
  • Final 2015: Evaluate \int_D e^{x+y} dA where D is the region bounded by y=x-1 and y=12-x for 2 \leq y \leq 4.
  • Final 2016: Evaluate \int_D (1-2x) dA where D is triangle with vertices (0,0), (2,3), and (5,3).
  • Final 2016: Evaluate \int_0^1 \int_x^{\sqrt[3]{x}} e^{x/y} dy dx.
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MAT B41 — Week 8

Posted in 2018 -- MAT B41, Lecture Notes, Uncategorized by pgadey on 2018/07/03
Parker comes back! Public lecture on Friday in IC 200 at 11am.

Additional resources:

Suggested Exercises:

  • Course Notes: Quadratic forms and determinants
  • 3.3 Extrema of Real-Valued Functions: 1,2,3,11,13,21,29,31,52

Past Finals:

  • Final 2015: Let f(x,y,z) = x^3 + x^2 + y^2 + z^2 - xy - zx. Find and classify the critical points of f.
  • Final 2016: Let f(x,y,z) = z^3 - x^2 + y^2 - 6xxy + 4x + 4y + 6z + 1. Find and classify the critical points of f.


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MAT B41 — Week 7

Posted in 2018 -- MAT B41, Lecture Notes, Uncategorized by pgadey on 2018/06/26
Midterms are graded! New list of suggested exercises is available!

There is a new list of suggested exercises available here.

Suggested Exercises

  • Chapter 1 Review (p. 71): 1, 4, 5, 7, 8, 16, 18, 20
  • Chapter 2 Review (p. 145): 1, 2, 3, 5, 6, 10, 15, 25
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STLHE 2018 — Day 0 — Introduction

Posted in Teaching and Learning, Uncategorized by pgadey on 2018/06/19

I am currently at Scholarship of Teaching and Learning in Higher Education 2018 in Sherbrooke, QC. The plan is to post a short little video everyday of the conference to keep people updated on how things are going. Stay tuned!

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Mid-Course Survey

Posted in Uncategorized by pgadey on 2018/06/14


The mid-course survey is available here.

MAT B41 — Week 6

Posted in 2018 -- MAT B41, Lecture Notes, Uncategorized by pgadey on 2018/06/12

Term Test is this Friday. Reading week is next week!

We have a modified class schedule this week.

  • Tuesday: Taylor Series and Review.
  • Thursday: Class Survey and Work Period, everyone is invited to bring problems to practice.
  • Friday: Term Test, will be held Friday afternoon.


Term Test Policy

From the Course Syllabus, we have the following policy:

The Term Test will be written outside of regular lecture hours. If you cannot attend reasons of creed or religion, then you will must contact Parker as early as possible to arrange for an alternative sitting. If you miss the midterm test for medical reasons, you must contact Parker within 24 hours of the test.

You will need to send a UTSC Verification of Student Illness or Injury form:

Students who miss the midterm test will be asked to provide the Verification Form and a timetable for the next five days. You will be given only one opportunity to write the make-up test.

Parker scheduled to the midterm to avoid Ramadan, but he forgot about Eid Al-Fitr. If you want to celebrate Eid with your family, instead of writing the midterm at the usual time, please contact Parker immediately.

The Week after Reading Week!

Parker will be traveling to STLHE 2018 and the IBL Workshop.

Our Tuesday evening lecture will be delivered by Ivan Khatchatourian.

Our Thursday morning lecture will be delivered by Ray Grinnell.

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MAT B41 — Mock Midterm!

Posted in Uncategorized by pgadey on 2018/06/08


Mock Midterm was today in IC 130. Midterm Test next week!

MAT B41 — Week 5

Posted in 2018 -- MAT B41, Lecture Notes, Uncategorized by pgadey on 2018/06/05

Mock Midterm this Friday 12-2pm in IC 130. Midterm Test next week!

Several people asked about Question 7 off of Homework #3. The intent of the question was for f(u,v) to be undefined. This is different from the textbook, where the function f(u,v) is given explicitly. You may write \frac{\partial f}{\partial u} and \frac{\partial f}{\partial v} without knowing the function f(u,v).

Additional resources:

Suggested Exercises:

  • 3.1 Iterated Partial Derivatives: 1, 2, 3, 4, 5, 6, 7, 12, 14, 15, 16
  • 3.2 Taylor’s Theorem: 1, 2, 5, 9

Past Term Tests:

2016 Term Test:
Give the 4th degree Taylor polynomial about the origin of f(x,y) = e^{-xy} \arctan(x).

2015 Term Test:

  • Compute the 4th degree Taylor polynomial about the origin of f(x,y) = e^{y^2} \sin(x+y).
  • Find the linear approximation to the function f(x,y) = \frac{x+2}{4y-2} at the point (2,3) and use it to estimate f(2.1, 2.9).


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MAT 134 — Post-Term Test #1 Survey

Posted in 2018 -- MAT 134, Math, Uncategorized by pgadey on 2018/05/31


Thank you for filling out MAT 134 Post-Term Test #1 Survey.

Here is what Parker learned about the class!


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MAT B41 — Week 4

Posted in 2018 -- MAT B41, Lecture Notes, Uncategorized by pgadey on 2018/05/29

Homework 2 is due! Homework 3 (tex) is now available.

Midterm information:

  • Mock Term Test Friday 8 June @ 12:00-2:00 PM in IC-130
  • Real Term Test Friday 15 June @ 3:00-5:00 PM in IC-130/230

All questions regarding format, question allocation, style of test, will be addressed by the Mock Term Test. I highly recommend you attend the Mock Term Test, because it will be the perfect preparation for the Real Term Test. More information will be available early next week.

In order to prepare for the Term Test, I recommend attempting the suggested exercises.
Additional resources:

Suggested Exercises:

  • 2.3 Differentiation: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 19, 22, 24, 25 (Do as much as possible.)
  • 2.5 Properties of Derivatives: 2, 3, 6, 14, 17
  • 2.6 Gradients and Directional Derivatives: 1, 4, 6, 10, 11, 19

Past Term Tests:

2016 Term Test: Let f: \mathbb{R}^2 \rightarrow \mathbb{R} be given by f(x,y) = (x+y)/x^2.

  1. Find an equation for the tangent plane to the graph z = f(x,y) at the point (2,3,f(2,3)).
  2. Find the direction of maximum increase in f at the point (2,3). What is the rate of maximum increase?

2015 Term Test:

  1. Determine the rate of change in f(x,y) = y - x^2 + z^2 as you move from (-1,0,2) towards (2,4,2).
  2. Compute the directional derivative of f(x,y,z) = x^2y^3z^2 at the point (2,1,-1) in the direction of the upward normal for the plane 2x+y-2z = -7.


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