Results 1 to 2 of 2

Math Help - Teaching Calc 3/Analytic Geometry

  1. #1
    Member
    Joined
    Nov 2010
    Posts
    193

    Teaching Calc 3/Analytic Geometry

    I know this isn't exactly the sort of question usually asked here, but I was hoping someone could help anyway...

    I'm a "TA" at my university, but a very good teacher, so I am actually teaching Calculus 3 this semester. We are using Calculus: Early Transcendentals (6e) by Stewart.

    I am "supposed" to cover chapters 12-16. But I think I'm going too slow; I'm only in section 13.3 (Arc Length and Curvature) right now.

    I have a few questions to ask on how the class should be taught...


    1. How much explanation would you give on definitions/theorems, in the way of proof, for example? Obviously I'm not proving every little thing (like properties of dot product for example lol...), but I really feel it is important for them to see the reasoning, the logic behind these things. I really don't like just stating something and moving on.
    2. Are there any sections that can/should be skipped? I'm thinking 13.4 (Velocity and Acceleration Vectors) can mostly be avoided... maybe a quick mention of the relationship \vec{r}^{\prime}(t)=\vec{v}(t),\vec{r}^{\prime\pri  me}(t)=\vec{a}(t), but definitely skip stuff like Kepler's laws of motion.


    1. Just looking ahead to chapter 14, Functions of 2 Variables and Partial Differentiation... How much detail is really necessary here? I mean limits, yes... the fact that you now have infinitely many paths on which to approach a point as opposed to just from the left or right. But in general proving that a particular limit DOES exist seems to be quite difficult, without resorting to the \epsilon -\delta characterization (which I don't really want to spend time on...). But other than that, there are a ton of PAGES in chapter 14, but the material is not difficult. There's just a lot of it, and I don't want to continue falling further and further behind...

    So... I don't know. What would you guys do?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Junior Member
    Joined
    Jan 2010
    Posts
    28

    Well

    Iīll give you my perspective.

    Itīs imossible to cover all the material in Stewart (great book by the way) so youīll have to skip alot, thatīs a fact. It is also one of the problems young teachers face during their first years of their career, not enough time but alot to cover.

    1. There are so many university-whatever homepages on the internet with lessonplans and stuff. Check them out to see whatīs really important. Hereīs just one example. You can always ask previous teachers at your university what, how and when.

    2. The review sections in Stewart are quite good. They usually pic up the most important stuff. Try to cover as much as possible from there.

    3. Make a semester plan for yourself, donīt be too time-optimistic.

    4. Whatever you cover, do it properly. Donīt blame yourself if thereīs not enough time to cover everything. Thereīs a reason why you already teach at at a university, youīre good and thatīll keep your students motivated. The more they understand after your lectures the more they will study on their own.

    Donīt know if this made sense but just get that plan and then concentrate on what your good at.

    -WS
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Analytic Geometry Q5
    Posted in the Geometry Forum
    Replies: 3
    Last Post: January 31st 2009, 12:53 AM
  2. Analytic Geometry Q4
    Posted in the Geometry Forum
    Replies: 1
    Last Post: January 31st 2009, 12:22 AM
  3. Analytic geometry
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: January 30th 2009, 07:25 PM
  4. Analytic Geometry Q3
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: January 30th 2009, 08:13 AM
  5. analytic geom and calc 1
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 17th 2005, 05:58 PM

Search Tags


/mathhelpforum @mathhelpforum