## 12 HL: Slope Fields & Euler’s Method

Complete the following questions before our next class.

Exercise 25B questions 1–3, 5

(for additional questions, see the Option Topic 9 PDF from the Pearson book: pages 1467–1469 questions 14, 29, 30, 33)

## 12 HL: First-Order Linear DEs

Complete the following questions before our next class.

Exercise 25G questions 1–3

## 12 HL: Homogenous Differential Equations

Complete the following questions before our next class.

Exercise 25F questions 2, 5

## 12 HL: Introduction to Homogeneous DEs

Make sure you’ve finished all of the assigned questions from this week’s lessons. I’ve attached some brief notes on recognizing homogenous DEs (and a couple of easy questions) for you to look at in advance of our next class. The document you’ll want to look at is here.

## 12 HL: Separable Variables DEs

Complete as many of the following questions as you can this evening (it’s a bit of a long list, but make sure you try some from each section).

Exercise 25D questions 1a–f, 2bcd, 3abd, 4, 7, 12, 19, 21
Exercise 25E questions 1, 3, 6

## 12 HL: Differential Equations

Complete the following questions before our next class.

Exercise 25A questions 1abce, 5
Exercise 25C questions 6, 7, 11, 13

## 12 HL: Manipulating Maclaurin Series

Complete the following questions before our next class (I’ll also be sending some questions via email.)

Exercise 24D question 3 (this one’s fun!)
Exercise 24E questions 3 and 7
Exercise 24G question 2

## 12 HL: Applications of Maclaurin Series

Complete the question below before tomorrow’s class.

Use a Maclaurin series to find an expression for $\int_0^a e^{-x^2}\,dx$

## 12 HL: Maclaurin Series

Complete the following questions before our next class (after the break!). Also, keep an eye on your inbox for some probability and statistics review questions.

Exercise 24A questions 1, 4, 5, 6

## 12 HL: Regression of x on y

Complete the following questions before our next class.

Exercise 26E (you can skip the diagrams) questions 2, 3, 4