## MAT B41 — Week 4

**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:**

- Khan Academy on partial derivatives.
- PatrickJMT on partial derivatives.
- KristaKing on partial derivatives.
- Eugene Khutoryansky explains gradients and partial derivatives. (Beautiful animation!)
- Educational Videos explains gradients and partial derivatives.

**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 be given by .

- Find an equation for the tangent plane to the graph at the point .
- Find the direction of maximum increase in at the point . What is the rate of maximum increase?

*2015 Term Test*:

- Determine the rate of change in as you move from towards .
- Compute the directional derivative of at the point in the direction of the upward normal for the plane .

**Notes:**

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