High School 2009-2010

Algebra II

This course is a rigorous examination of the theory of polynomial algebra.  Topics will include:  conic sections, rational roots, root finding algorithms, and graphing techniques.  The course will be taught from the point of view of the general theory of functions.  Applications will be taken from the physical sciences and will be chosen according to the preparedness of the class. 

Texts (for 2009-2010):  Rusczyk, The Art of Problem Solving: Introduction to Algebra ;  Rusczyk and Crawford, The Art of Problem Solving: Intermediate Algebra

Trigonometry and Analysis 

Largely a continuation of Algebra II, this course will include a number of topics preparatory to beginning the Calculus and Physics sequence.  In particular, the course will cover trigonometric functions, exponents and logarithms, probability and counting, recursive methods, and numerical techniques.  Students will implement some general problem solving methods in Mathematica and, in general, will pursue a rigorous computational approach to the theory and applications of functions.

Texts (for 2009-2010):  Gelfand and Saul, Trigonometry ;  Rusczyk and Crawford, The Art of Problem Solving: Intermediate Algebra.

Calculus AB 

This single year course in the Calculus of real variables will introduce the concepts of limit, derivative, and integral along with all the fundamental techniques and applications.  This course will complete the syllabus attached to the AB Advanced Placement examination.  In addition, the course will explore some applications of calculus to mechanics, biology, and chemistry.

Text (for 2009-2010):  Stewart, Calculus

Calculus BC (I and II) 

A two year course in the Calculus of real variables, it largely focuses on the differentiation and integration of functions of a single variable.  The material will also include infinite series and numerical methods. This course will complete all the material required by the BC Advanced Placement examination.  In addition, the course will explore physical applications, some differential equations, and computational methods.

Texts (for 2009-2010):  Marsden and Weinstein, Calculus II and III.