Recent content by MexChemE

I realize my study plan is ambitious, so to speak. You do raise very valid points. So, let’s say I just brush up on LA and multivariable calc then jump into FA at the level of Griffel, Kreyszig or Sasane (the three books list just LA and calculus as prerequisites), what would I be missing going...

I am aware, however, as I lack formal education in LA, I would like to get acquainted with the finite-dimensional case first. Besides, LA is also useful for optimization techniques.

Griffel’s contents look nice and very related to my interests. I will try to get a copy. Thanks!

Yes, I actually don’t have previous proof-writing experience, that is why I intend to start gently with Strang and Lang. If you don’t mind, what reference or book would you recommend to bridge the gap between Intro LA and multivariable calc towards analysis at the level of Apostol? Thanks!

Hello, PF! It’s been a while since I last posted. I am looking for a critique and recommendations regarding my study plan towards Functional Analysis and applications (convex optimization, optimal control), but first, some background: - This plan is in preparation for my master’s thesis, I...

Alright, thanks a lot!

Actually, the ##\mathbb{R}^{n}## part was mine too, it seems I used my previous knowledge from computational linear algebra as a crutch, but of course, I could have defined my vectors as having ##n## components, without necessarily saying they are in ##\mathbb{R}^{n}##. The book is an open...

First, a little context. It's been a while since I last posted here. I am a chemical engineer who is currently preparing for grad school, and I've been reviewing linear algebra and multivariable calculus for the last couple of months. I have always been successful at math (at least in the...

The correct way of doing it would be to take into account the variation of the liquid level inside the tank with respect to time. Do you know how to set up the mass balance for the tank in terms of a differential equation?

The ideal gas law PV=nRT

There's a pump upstream from point 1 and another one downstream from point 4. As I mentioned before, both velocity and pressure can be measured at points 1 and 4. What I need to find is the velocity at points 2 and 3. Point 3 seems easier to analyze, as I could model the liquid collector at the...

Hello, PF! I’m trying to model a real piping system, which has multiple inlets and one outlet, so I can’t use Bernoulli’s equation. Instead, I’m planning to use the generalized macroscopic energy balances as shown in BSL, which allow for any number of inlets and outlets. However, first I want...

You should give chemical engineering a try. You will spend most of your junior year dealing with transport phenomena (momentum, heat, and mass transport), which are heavily based on calculus and differential equations. Then there's reactor design, which also relies on DE. You will also encounter...

When using bond enthalpies, the way you calculate the heat of reaction is \Delta H° = \sum \Delta H_{\textrm{Broken}} - \sum \Delta H_{\textrm{Formed}} As in, "the sum of enthalpy changes by broken bonds minus the sum of enthalpy changes by formed bonds." So, the correct answer is -108 kJ.

I've never used Introductory Transport Phenomena, but the standard version of BSL is an excellent textbook by itself. Perhaps my favorite textbook ever. I've used it for junior year courses in transport phenomena and mass transfer and a senior year course in process modeling and never felt it...