The Stuyvesant High School Online Course Guide

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Who should take this course?
Students who have completed A.P. Calculus or are currently taking MC4X and are interested in scientific or engineering careers.

What will we be studying?
This course uses mathematical problem solving techniques from different areas of mathematics, including calculus (integration), transformations (Laplace), Linear Algebra (eigenvalues and eigenvectors), and infinite series (Taylor series) to solve first order, second order, and systems of linear and nonlinear differential equations. Applications include growth and decay, electrical circuits, cooling, motion of freely falling objects, chemical reactions, solutions in tanks, periodic motion, oscillatory behavior, and harmonic motion.

What will be expected of me?
To regularly complete homework assignments and to participate in solving problems in class. Students are expected to read the textbook before class so that they may help in discovering new concepts.

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 on an application of differential equations 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 either Calculus AB or Calculus BC is required. This course is only offered in the spring. Students may register for Multivariate Calculus in the fall. Students need not have taken Multivariate Calculus to qualify for this course.

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.