2  Notation

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Reading questions

Reading question 2.1 The reading does not include the word “equation.” But think about the way you used equations in high-school algebra. How does the symbol $\equiv$ differ in meaning from the symbol $=$.

They are the same.

The symbol $\equiv$ is used to give a name to a mathematical object.

question id: equiv-eq

Reading question 2.2 Consider the definition $h(t)\equiv a+bt$. In the following, we’ll ask you to identify the various parts appearing in the definition. Choose from

1. a formula
2. the name of a function
3. a parameter
4. the name of the input to the function

1. What kind of thing is h()?

a       b       c       d      

question id: def-1

2. What kind of thing is $a+bt$?

a       b       c       d      

question id: def-2

3. What kind of thing is $t$?

a       b       c       d      

question id: def-3

4. What kind of thing is $b$?

a       b       c       d      

question id: def-4

Reading question 2.3 The reading mentions a convention where letters from the early part of the alphabet are used for parameters. But we will often use parameters that are more description, for example “$T_{ambient}$” for the ambient temperature.

Explain how, by reading the definition of a function, you can distinguish between the elements of the formula that are inputs and the elements that are parameters.

Reading question 2.4 I need to break you of the bad habit about calling so many different mathematical things “equations.” So, for this academic quarter, whenever I use the word “equation,” I want you to shout, “EQUATION.” It shouldn’t happen very often in STM1001.

I agree to do this.       Do I have to?      

question id: shout-equation

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