Skip to main content

Questions tagged [optimization]

Questions related to mathematical education in the topics of optimization in general, optimal control, discrete optimization.

4 votes
3 answers
266 views

What are effective ways to teach the method of Lagrange multipliers to help students grasp the intuition?

In multivariable calculus or advanced calculus courses, students often struggle with the method of Lagrange multipliers. While they can learn the mechanical steps, many fail to internalize why the ...
F. A. Mala's user avatar
2 votes
2 answers
307 views

Seeking optimization modelling problems involving non-continuous or non-interval defined functions for teaching [closed]

The optimization problems generated by modeling (such as the classic box problem) present in differential and integral calculus books usually generate continuous functions defined on intervals. I am ...
Humberto José Bortolossi's user avatar
3 votes
1 answer
189 views

Favorite linear programming (not integer) examples?

I am wondering what examples you like to give when introducing linear programming, where the examples are not clearly better suited as integer linear programs. I would like a few examples where we can ...
usul's user avatar
  • 219
1 vote
1 answer
868 views

Textbooks for Non-Convex Optimization

I’ve studied convex optimization already with Boyd & Vandenberghe's book. Now I need to learn non-convex optimization. What are the best/most common texts for this? Need to learn a general ...
vmusegameon's user avatar
7 votes
6 answers
1k views

Distance Between Curves in First-Semester Calculus

In the optimization section of Calculus 1 a common problem is to find the minimum distance between a curve and a point. I'd like to extend this idea and be able to compute the minimum distance between ...
Aeryk's user avatar
  • 8,369
10 votes
4 answers
353 views

Ideas for teaching a bit of linear optimization to advanced undergraduates?

I am interested in ideas what to teach when the task is to teach a bit of (linear) optimization to third year undergraduate mathematics students. More specifically: Assume 'a bit' means I'd have ...
quid's user avatar
  • 7,792
9 votes
2 answers
399 views

Good examples of non-convex optimization

I am looking for a function of on an interval with several local optima that appears in some mathematical model and which you can at least imagine that you want to optimize. I am teaching a calculus ...
Johan's user avatar
  • 193
3 votes
2 answers
265 views

How to reinforce mental times tables skills in a senior calculus (optimisation) class?

Like many teachers, I see the students reach for the calculators to solve problems - now graphics calculators are indeed very useful for modelling in topics such as optimisation. However, I notice ...
user avatar
7 votes
1 answer
215 views

Where can I find example of Lagrange multipliers and constrained optimization?

I want give some extra homework about Lagrange multipliers and constrained optimization. I am interested in examples that are complex (for example, those having more than two variables and more than ...
Huseyin's user avatar
  • 643