The Stuyvesant High School Online Course Guide


Multivariate Calculus MC5

Who should take this course?
Students who have completed A. P. Calculus and are interested in scientific, business, or engineering careers.

What will we be studying?
The course extends the limit, differentiation, and integration concepts of first year calculus to functions of more than one independent variable, which occurs in economics, statistics, physics, chemistry, and biology. There is a more theoretical treatment of the limit, derivative and integral. These concepts are applied to work, projectile motion, cycloids, optimization, related rate, volume, normal curve, mass, density, and moment of inertia problems. Vectors are used in three space for analytic geometry and for rates of change of functions in all directions

What will be expected of me?
To regularly complete homework assignments and to participate in solving problems and writing proofs in class. Students are expected to read the textbook before class so that they may help in discovering new concepts. Students are prepared to take the first actuarial exam which covers first year Calculus, Multivariate Calculus, and Linear Algebra.

How is the course taught?
The course is a traditional math class, using the lecture and discovery approaches.

What are the completion requirements?
Homework is regularly collected. There are six major tests and a final exam. A research paper and oral presentation may be used to replace the lowest grade on a test.

Are there any special demands, costs, etc.?
Students are expected to have their graphing calculators from A.P. Calculus.

Details and pre/co-requisites:
A final grade of at least 80% in A.P. Calculus is a pre-requisite. This course is offered only in the fall. Students may register for Differential Equations in the spring.

Students in this course will be required to participate in the American Mathematics Competition, a 75 minute examination that is sponosored by the American Mathematical Association. This national examination will be administered during school hours and students will incur no expense for taking this examination. The 25 question short answer examination is offered on 2 grade levels. The AMC-10 is for students in the 9th and 10th grades while the AMC-12 is for students in grades11 and 12.


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