Dr. McDonald's Mathematics Course Blog
Complete the following questions before class on Friday, October 3rd.
Exercise 7A questions 2, 3, 4
Exercise 7B questions 1cd, 2
Exercise 7C questions 2adeh, 3be, 5abe, 6bfe
Exercise 7D.1 questions 1, 3, 6, 7, 10, 12, 18
Exercise 7D.2 questions 3, 5
Exercise 7E 1, 2, 6, 7, 8, 9, 11, 14, 20, 24
On Thursday, October 2nd we’ll have a test on all the material we’ve covered on polynomials and complex numbers, corresponding to Chapter 4 and Chapter 5 (Sections A to I) of the green textbook. Note that this is a no calculator test.
We’ll have a test on Friday, October 3rd. This test will cover all the material we’ve seen so far on derivatives: the chain rule, product rule, quotient rule, and derivatives of various types of functions (trigonometric, etc.). Calculators are permitted.
A set of review questions is available here, and the mark schemes are here.
Complete the following questions before class on Friday, September 26th.
Exercise 5I (that’s a capital letter i) questions 1–3, 5, 7
In addition to the other MathsPad activities, also have the following completed for Tuesday, September 23rd.
Negative Indices
Negative Indices (Integers)
Negative Indices (Fractions)
Complete the following questions before class on Monday, September 22nd.
Exercise 5H questions 1–5, 7
Complete the following activities before class on Tuesday, September 23rd. (You should also have completed the Inspired AI nugget on Surds.)
Multiplication Law of Indices
Division Law of Indices
Power Law of Indices
Law of Indices Mixed Practice
Further Laws of Indices
Complete the two MathsPad activities* assigned to you for Friday, September 19th.
*Highest Common Factors 2 and Lowest Common Multiples 2
You may want to get a start on the next set of homework questions (which will be due Wednesday, September 17th).
Exercise 4A questions 2, 3, 4adb
Exercise 4B questions 1, 3
Exercise 4C questions 1, 7, 8
Exercise 4D questions 1, 3, 5, 6
Exercise 4E questions 1–6, 8*
*This last question is quite challenging.
Also, see if you can complete the proof that, for \(z_1, z_2 \in \mathbb{C}\), \((z_1 + z_2)^* =z_1^*+z_2^* \).
On Inspired AI, complete the activities listed below for Friday, September 12th. Activities shown in bold are more challenging, but give those a try too!
Squares [MF12.01]
Roots of Squares and Cubes [MF12.05]
Roots [MF12.06]
Fractional Indices 1: Square and Cube Root [MH13.08]
Surds: Introduction [MH52.01]
Surds: Multiplication and Division [MH52.02]
Surds: Simplifying 1 [MH52.03]
Surds: Simplifying 2 (Products of Surds) [MH52.04]
Surds: Simplifying 4 (Sum and Difference) [MH52.06]
Surds: Simplifying 3 (Dividing Surds) [MH52.05]