Learning Math

CSCI 0200 F24

Today


  • Survey! Excitement, angst, questions.
  • Logistics.
  • How we learn and why this class is the way it is.
  • If time: more on the syllabus, mathematical writing.

Sources of Excitement!

I am really excited to do some stuff with formal logic as well as the combinatorics units.

I enjoy writing proofs because I like working it out and making sure I have the correct answer.

I’m just excited to be able to take my comp sci abilities deeper, be more dynamic and do more things.

I’m confident that if I put effort and time into the class, I can understand the material and do well.

I am excited by the flipped classroom because I learn code better when I can take my time and find my own way to approach the problems.

Sources of Angst

I am nervous that I will not have the proper background to excel in this class.

Drawing a blank on some math notation - I’m easily intimidated by notation.

I think this class will likely be different from any math or comp-sci classes I’ve taken in the past, so I do not totally know what to expect.

The tests, and the fairly high requirements for an A

I am a bit nervous about exams because I tend to second guess myself in exams that involve math.

Quick Hits: General

Is this a good class to take if I’m not considering further coursework in CS?
You’re welcome here, but it’s likely that you’ll get more out of courses in Math/Stats.

Do we still need to wear masks? (or is this left over from covid years?)
It is still COVID years! However, I am not requiring masks in class this semester.

Do I need to know calculus to do well in this class?
More math experience always helps, but we are not doing any calculus in this class. If you are comfortable with \(\log_a x\) and \(e^x\) then that’s enough.

Can I watch lectures and do warmups ahead of time?
That’s totally fine as long as they are fresh in your mind for class.

How do the warmups work?
Here’s an example!! Most days, you’ll upload an image of hand-written work to Canvas.

I like coming to office hours.
That’s great! I also like you coming to office hours. 😁

Quick Hits: Labs

How many revisions do lab assignments have?
We’re going to start with two. If there is enough support from graders we might be able to do a third.

Can an “M” on a lab be revised to become an “E”?
Yes!

Will my grade also be reflected by the amount I talk in class?
No, but I expect you to participate actively with your Friday lab group.

What do labs look like for a math class?
You’ll see. 😈

Quick Hits: Quizzes and Exams

If all learning targets are completed, is the final exam necessary?
Nope! If you have enough targets for the grade you want, skip the exam. 😁

How rushed with time will most quizzes be?
You are probably going to feel like you had less time than you wanted. There will be more chances!

How do we know when we’ve reached a learning target?
It’ll be logged on Canvas.

Student Hours (“Office Hours”)


  • Mondays, 2:30pm - 3:30pm
  • Tuesdays, 3:30pm - 4:30pm
  • Fridays, 2:30pm-3:30pm

My office is Room 218. We’ll start there and spill out into the kitchen lounge if there are lots of folks.

First, just write (4 minutes)



What’s a way in which your previous classmates have helped you feel welcome or supported in your learning?


What’s a way in which your previous classmates have made you feel unwelcome or discouraged in your learning?

Recall….





If you were a vegetable, which vegetable would you be and why?

In Groups (8 mins)


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  1. Your name
  2. Your affinity vegetable and your “why”
  3. Your way in which others have helped you feel welcome or supported in your learning

After everyone has spoken, go around again with:

  1. Your way in which others have made you have made you feel unwelcome or discouraged in your learning?


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Writing Time Again (3 minutes)



What’s something you are especially good at?

Were you ever not good at it?

How did you get good at it?

Around the Class


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  1. Your name and affinity vegetable
  2. Your superpower! Something you are especially good at.

Once everyone has spoken, go around again with:

  1. How did you get good at your superpower?


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Syllabus Review: Calculating Final Grades



First Row: How many Learning Targets could a student not satisfy and still earn an B+? How many Labs could a student miss and still earn an B+?

Second Row: describe, in terms of Learning Targets, Labs, and Warmups, a scenario in which a student would earn a B+.

Third Row: which of these assignment types have “partial credit”? Which of them have a chance to try again?

  • Warmups
  • Quiz problems
  • Lab reports

(If Time) Mathematical Writing

Mathematical writing is something we’ll be doing a lot of in this course, and we’re about to start with it in our upcoming warmup and lab assignment. Let’s compare and contrast two examples of mathematical writing.

Prove that the sum of two even integers is also even.

Solution 1

\(2i + 2j = 2(i + j)\)

Solution 2

Proposition 1 (Sum of Even Integers is Even) Let \(m\) and \(n\) be any two even integers. Then, \(m+n\) is also an even integer.

Proof. Let \(m\) and \(n\) be any two even integers. Then, there is some integer \(i\) such that \(m = 2i\), and similarly there is some integer \(j\) such that \(n = 2j\). We can then write

\[ m + n = 2i + 2j = 2(i + j)\;. \]

The second equality follows from the distributive law of multiplication. So, \(m+n\) can be written in the form \(2k\) for the choice \(k = i+j\). Therefore, \(m+n\) is an integer, as was to be shown.

Exercise

Draft a proof that the sum of two odd integers is also even. It’s ok not to write out complete sentences, but use abbreviations that would help remind you which sentences to put where.

For more tips, see the guide to Writing Mathematics Well by Francis Su at Harvey Mudd College.