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0 votes

Why is multivariable analysis often omitted?

[Speculative, but too long for a comment.] I think the main purpose of calculus (multi or single) is to learn how to solve calculus problems and to follow derivations, primarily to support physics, ...
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0 votes

Why is multivariable analysis often omitted?

My understanding of the reason (I am in a university in USA ranked 50-100): 1, No motivation A faculty does not have right to open a new course freely to his/her discretion. A new course has to be ...
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0 votes

What do you do in order to drag out lectures?

There have been some nice responses, and your experience goes counter to mine (I am at a "fancy" school, and I have a daily struggle to get through the material...). But, I want to give a ...
1 vote

Encouraging students to see value in things that can't be measured

I think the most straightforward way of showing the value of "softer" fields is to point out that the softer fields are what mathematics is based on. I always tell my students, "step 1 ...
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2 votes

Encouraging students to see value in things that can't be measured

Take this advice with a grain of salt, as I have not implemented anything like it yet. I have been thinking a lot about the responsibility that we have, as mathematics educators, to not only give ...
0 votes

What do you do in order to drag out lectures?

Either the centralized tests do not properly assess your students' understanding, or your students are being inspired by your fast-paced style to spend more of their own time on reading and doing ...
-2 votes

Encouraging students to see value in things that can't be measured

I think the way to go after this is tangentially, not directly. Encourage them into looking at fields like Bayesian predictions, where decisions are made on imperfect information, but have real ...
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1 vote

What do you do in order to drag out lectures?

IF you want to fill more time (and that is what the question asks), the clear answer is to spend more time on in-class drill. You are verging back to debating if you should spend more time, in ...
3 votes

What do you do in order to drag out lectures?

Slow down your actual rate of speech. Explain the same thing three different ways. Give five separate concrete examples for every abstract idea. Make them physical demonstrations if needed. Ask ...
3 votes

What do you do in order to drag out lectures?

Going at such a pace with lectures can work fine, but all that lecture time should be supplemented with time for students to ask questions and work on problems. In my physics degree (in Europe) we ...
8 votes

What do you do in order to drag out lectures?

What do I do? First, explain the product rule. Let's say 3 minutes on that. Then write a random product of 2 functions and differentiate it. 2 more minutes. Then write a product of 2 functions and ask ...
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45 votes

What do you do in order to drag out lectures?

What you are describing is so far outside of my, and I suspect most educators, experience that it appears to be literally incredible. The very strongest Universities in the country, with some of the ...
6 votes

What do you do in order to drag out lectures?

When I was in school, what we did was to fill the class time by doing every exercise in the book on board. Naturally some exercises were kept as homework. But I personally disliked this approach. I ...
0 votes

Entertaining and fun books about mathematics for (basically) liberal arts students

A little more mathematical, but very accessible, and useful: How to Lie with Statistics
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0 votes

Entertaining and fun books about mathematics for (basically) liberal arts students

Dr. Hannah Fry's books Mathematics of Love and The Indisputable Existence of Santa Claus are short, charming, and easy to read. Logicomix is a bit more philosophical and historical, but a very ...
10 votes

What is a good pacing for a Calculus 1 undergraduate course?

As fedja says, if your students are doing as well as you say, and you believe the students are similar this year, there isn't a reason to change. It seems hard to believe, though. I've taught calculus ...
3 votes

What is a good pacing for a Calculus 1 undergraduate course?

Just do what works for you and your students. If they get a good grasp of the material (which you should check regularly) and do not look terribly overworked, I see nothing wrong with going fast. ...
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3 votes

Are there any benefits to having an entire course's homework problems available from day one?

I am dismayed that nobody has mooted students who work part time, or who suffer from chronic conditions or disabilities? They may need to work and submit homework ahead of schedule, and the extra time....
1 vote

Is it good to have solutions of homework published?

The two mathematicians below would answer YES! They tout the free promulgation to students of detailed answers and solutions to EVERY exercise and problem in a book. Robert Ash (1935-2015) touted in ...

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