I think it's more the response papers that she would have a chance of improving if she'd received feedback sooner.

I think it's great as long as your 4 year old doesn't feel like he's being exiled from the family, if you know what I mean? I thought it was awesome when I got to stay with daddy alone for a few weeks before a move (I was ps'd at the time and my mother didn't want me to move schools mid-year so dad and I got a weekly rental hotel for a few weeks while my mother packed).

That is a good point but not something I would test without asking my university counsel.

Yes. http://www2.ed.gov/policy/gen/guid/fpco/faq.html#q7

My mother used to boast about her summa cum laude diploma from Mean Mother University.

Many instructors will not speak to parents even if the FERPA form is signed, just FYI.

I didn't realize that! Thanks!

Right now there's a 3rd edition of Parker's Equine Science and an instructor's manual on amazon.com -- you could get both for about $50. The 4th edition is new so bloody expensive but I can't imagine much has changed.

Usually sequences are done informally just before limits and then formally in calc 2. The concept of limit in many calc 1 classes that are computationally focused can be summed up as "follow the graph with your finger and see where it's going" or "plug in numbers that are closer and closer on your calculator and see where it's going".

This is not what I thought the thread was going to be about.

Ha ... I just sent an email on Thanksgiving to a bunch of my students next semester telling them that the book was cheap right now on amazon and there was a sale as well.

I don't discount that that kind of hiring snobbery happens, but frankly any pompous jerk who's willing to completely discount an excellent person because they only want Ivy League is not a company I want to work for, because that kind of snobbery is probably pervasive.

I've had classes where the departmental policy was that if you had a sufficiently high grade that it would require failing the final to cost you an "A", you did not need to show up. I know it was the policy at the modern language department at UM-TC when I took classes there. I liked that policy -- it encouraged the A+ students to work very hard all semester ...

Haha, yeah. If AOPS puts it in an appendix ... The chain rule is one that I routinely say "just trust me" when I teach calculus. I feel the proof is so complex that it's not going to be of any use to anyone other than the top 1%, who are usually not in my class because they took it in high school and passed it. I agree with what Kathy has said about fluency and speed. I think that a few weeks to a month before the test would be plenty of time to start practicing, though. I think there the chapter tests from Anton would be ideal both for getting him used to taking tests in a timed manner and for finding any places where additional drill is needed. The drilling for fluency and speed is especially important when it comes to taking derivatives of functions like {e^2x sin (x^5) } / {ln (cos (sqrt(x))} or other horrible monstrosities.

I would let him go until it doesn't work out. The chain rule is a real pain in the butt to prove in detail though -- the proofs in most calculus books (I'm not sure about Anton) skip details.

You can get used copies of 7/6 3rd edition for 1 cent + shipping on amazon right now, if you are in the US. Frankly I'd go ahead and order it at that price -- it will be easier to make your decision if you can actually look at the book.

x

Yes. Also, quite honestly, if a student who's capable of that but can't really afford it is going to a school which doesn't have a program like that, they need to make sure that the faculty are willing and able to offer them the challenge. Some schools would rather stick to the rules than figure out how to do what is necessary to challenge a bright student. Arie Israel is a prime example of when a school bends the rules for the benefit of a student. Florida Atlantic University admitted him to a master's program without having received a bachelor's degree based on his outstanding mathematical ability. He then went off to Princeton to do his PhD at 18. He's finished, done a good postdoc, and gotten a job, as far as I know. This is a great outcome.

I agree ... but I wish we could live in that ideal universe. I can only imagine what I could teach in classes if my students showed up ... I won't even say eager ... but ready and willing to put in effort and learn.

Narnia might vary. When I was about that age I *loved* the Wardrobe, Prince Caspian, Voyage of the Dawn Treader, and the Horse and his Boy. Especially the last one. I'd definitely buy them anyway though -- if she gets bored, stop reading and read later.

No, no, no they would not. This textbook is notorious for its level of challenge. It is not "just an advanced calculus textbook". A student who tried to move into this course after a year or two of a standard calculus class would be hopelessly overwhelmed. Even in "the foundational material", which is the unstarred sections of chapters 1-11, it is far beyond most undergraduate advanced calculus classes. I would say that in my entire undergraduate career (not just the advanced calculus class) I only saw about half of the sections, and I wouldn't have seen chapters 9-11 if I hadn't taken an elective in graduate school. Furthermore, even for the sections I *did* see at undergraduate, the problems are far more challenging and I would have struggled with them. Hell, some of the problems are challenging enough that I'd have to really sit down and think about them *now*. ETA: This does NOT mean that everyone needs this kind of course. This would be complete and total overkill for someone who (for example) wants to major in math in order to become a secondary school teacher, an actuary, or some other career which requires a bachelor's in math. This course would only be suitable for really highly mathematically talented students who are either desperate for a challenge or planning on graduate school in mathematics or possibly a related field like theoretical physics. Therefore, you won't find a course like this except in places that have a sufficient population of that kind of students to run it.

Try gradually reducing instead of cold-turkey, and incorporate more vegetable sources of protein and fat into your diet while doing so. Legumes and rice wouldn't satisfy me either unless they were cooked with some fat, and I would end up eating more calories than if I'd just gone ahead and added some fat in the first place. I'd also really recommend increasing veggies instead of just going with beans and rice.

Atkins' Molecules may also be good if you can find an affordable copy.

+1 for the Enchanted Forest and The Dark is Rising. Also: Rosemary Sutcliff -- anything Kate Seredy -- anything Harry Potter series Little Britches series

Both texts are good -- Apostol will also cover multivariable calculus and linear algebra in the second volume. I've never seen an answer key for Apostol, but I know there's a solutions guide for Spivak. But I also fairly regularly see people who are self-studying with Apostol asking for help on a site like physicsforums and getting help, so if there's something that's genuinely difficult that's a possibility.