<p>tokenadult: thats crazy!!
jeez..your son must be smart..</p>
<p>My son is just in the same program that ActuarialDJ used to be in. That program has a lot of tradition in our town, and my son isn't the youngest guy in the program.</p>
<p>bc then, multi now! yay -.-</p>
<p>i actually took AB in 10th grade and BC in 11th, and got 5's on both of them</p>
<p>I took BC Calc sophmore year, got a 5. There are kids in my grade who are taking Calc now in junior year, but they're taking AB now, then BC senior year.</p>
<p>my school offers Ap calc 2....</p>
<p>Our school does offer Multivariable calculus, but it's been 3 years since the enough amount of ppl have selected the class so that it gets a teacher.</p>
<p>Predator:</p>
<p>What topic does your Multivariable calculus cover up to? I think that up to Lagrange Multipliers is managable for a high school senior.</p>
<p>while we wait for predator's response, I'll post my multi syllabus</p>
<p>Unit I: Vectors and the Geometry of Space</p>
<pre><code>* Three-Dimensional Coordinate Systems
* Vectors
* The Dot Product
* The Cross Product: Discovery Project, The Geometry of a Tetrahedron
* Equations of Lines and Planes
* Cylinders and Quadratic Surfaces
* Cylindrical and Spherical Coordinates: Laboratory Project, Families of Surfaces
</code></pre>
<p>Unit II: Vector Functions</p>
<pre><code>* Vector Functions and Space Curves
* Derivatives and Integrals of Vector Functions
* Arc Length and Curvature
* Motion in Space: Velocity and Acceleration. Applied Project, Kepler's Laws
</code></pre>
<p>Unit III: Partial Derivatives </p>
<pre><code>* Functions of Several Variables
* Limits and Continuity
* Partial Derivatives
* Tangent Planes and Linear Approximations
* The Chain Rule
* Directional Derivatives and the Gradient Vector
* Maximum and Minimum Values
* Lagrange Multipliers
</code></pre>
<p>Unit IV: Multiple Integrals</p>
<pre><code>* Double Integrals over Rectangles
* Iterated Integrals
* Double Integrals over General Regions
* Double Integrals in Polar Coordinates
* Applications of Double Integrals
* Surface Area
* Triple Integrals
* Triple Integrals in Cylindrical and Spherical Coordinates
* Change of Variables in Multiple Integrals
</code></pre>
<p>Unit V: Vector Calculus</p>
<pre><code>* Vector Fields
* Line Integrals
* The Fundamental Theorem for Line Integrals
* Green's Theorem
* Curl and Divergence
* Parametric Surfaces and Their Areas
* Surface Integrals
* Stokes' Theorem
* The Divergence Theorem
</code></pre>
<p>Unit VI: Second-Order Differential Equations</p>
<pre><code>* Second-Order Linear Equations
* Nonhomogeneous Linear Equations
* Applications of Second-Order Differential Equations
</code></pre>
<p>half term course</p>
<p>diff eq is mad long too.</p>
<p>If it helps, BoelterHall, those are also the same topics we'll be covering, except differential equations are saved for their own class.</p>
<p>In my school, the only way to take AP Calc AB or BC is to have taken the highest math track, which actually starts in 7th grade, like this:
7:Algebra I
8:Algebra II
9:Geometry Honors
10:Pre-Calculus Honors
11:AP Calculus BC or AB</p>
<p>And to take Calculus III Honors in 12th grade, you must take AP Calc BC (not AB). This is the path I took (I am now in Calc III)</p>
<p>Just out of curiosity, what textbooks are students posting here using for multivariable calculus? My son's course assigns the Stewart Calculus: Early Transcendentals textbook for all three years of the calculus sequence, and also uses the Bretscher textbook to give a thorough workout in linear algebra. He tries to find time to supplement his calculus study with the Spivak textbook and some other books I have at home. (We check out Strang and Apostol from the University library from time to time.)</p>
<p>BC this year at a local university.
Senior year i am taking multi-variable or differential equations or something</p>
<p>We also use Stewart's Early Transcendentals</p>
<p>Being in a school in one of the poorest parts of Canada (and being in Canada, period), I find that only the smartest math people at school take Calc AB in Gr.12 (Senior year). But I'm pretty sure that it's still MUCH better than most other public schools in the country, cuz the majority of them don't even offer AP Calc....they only have the regular Advanced Functions course, which is jokingly easy, even to OUR standards. :)</p>
<p>After getting 99s throughout highschool math courses, I am (and pretty much everyone in the class, is) struggling a bit in Calc class.......mostly because the teacher likes to separate people by giving us 2nd year university math contest questions on our quizzes............ :s</p>
<p>Multi: using pages 800-1200 of the stewart's combined calculus book with all 3 sections merged (maybe that is Early Transcendentals)</p>
<p>Diff Eq (2nd term): Bear's Differential Equations: A Concise Course textbook with handouts</p>
<p>We use Stewart's for AB and BC, but since I'm the first to take Multi in a while and they only make us buy the Single Variable section of Stewart's, my teacher just lent me his copy of Larson/Hostetler/Edwards. Pages 714-1091</p>
<p>We used Larson in our Multivariate class, but Stewart is ten times better. I swear, Larson barely qualifies as a textbook -- it's more of an outline.</p>
<p>
[quote]
while we wait for predator's response, I'll post my multi syllabus
[/quote]
</p>
<p>That's pretty much what we did too, except we saved diffeqs for next year.</p>
<p>Im taking both AB and BC Junior Year.....</p>
<p>Yea... its going to be interesting to say the least</p>
<p>tennisace: my way was similar to that
7th: Algebra 1
8th: Geometry
9th: Algebra 2
10th: PreCalc/Math Analysis
11th: AP Calc AB
12th: AP Calc BC</p>
<p>I'm a pre-calc soph, so I'll be on track to talk Calc AB next year. My school doessn't offer Calc BC senior year, so I'll have make do with AP Stat and take a Calc II course at the local community college as an elective or something. </p>
<p>That's actually considered pretty impressive at my school-- highest out of three available tracks, although legend has it that there's a freshman in pre-calc this year.</p>