Page 9 - Class Catalog 2017

high school, eleventh, 11th, math 12th, twelfth
• Calculus 1/2- This course will cover topics in differential and integral calculus, including limits, continuity,

derivatives, the chain rule, the mean value theorem, definite and indefinite integrals, and the Fundamental
Theorem of Calculus. The student will learn how to approach calculus concepts graphically, numerically,

analytically, and verbally. Required Text: Calculus Concepts & Applications by Foerster Teacher: pending
Recommended Donation of $12 per weekly class

high school, eleventh, 11th, math 12th, twelfth
• Calculus 2- 3/Differential Equations – **May be offered 2018-2019** This is the second year of our calculus

sequence. The distinct feature of this part of the course is its focus on the multi-dimensional analysis, as
opposed to one- dimensional analysis that you learned previously. This semester you will get familiar with such

important concepts as a vector, a vector field, a function of several variables, partial derivative, a line-integral
and multi-variable integrals. You will see that these concepts, as scary as they may sound, are actually a natural

generalization of the things you already know from calc I and the first half of calc II. This is how the tree of

mathematics is built - going from simple to more complicated. The ideas of the vector calculus apply to

numerous areas of human knowledge such as engineering, physics, pure mathematics, biology, and many
others. Some of them we will see in the course, some will surface later in your future special courses, yet some
may wait until you become a professional. This is a fun course with a lot of application. Required text: Vector

Calculus by Susan J. Colley Teacher: pending Recommended Donation: $12 per weekly class.

high school, eleventh, 11th, math 12th, twelfth
• Applied Statistics for Research- **May be offered 2018-2019** This will be a statistics course designed for

students participating in the Science Fair. It will be an introduction to the mathematical theory of statistics.

Estimation, with a focus on properties of sufficient statistics and maximum likelihood estimators. Hypothesis

testing, with a focus on likelihood ratio tests and the consequent development of "t" tests and hypothesis tests.

This class will start at the beginning of the school year in September and will end upon completion of the Science
Fair. This will be a primarily online course with class meetings and individual help sessions regularly scheduled.
Recommended Textbook: pending Teacher: Pending Recommended Donation of $12 per weekly class