Page 29 - Class Catalog

Algebra 2 (HS) - This course is designed to build on algebraic and geometric concepts. It
develops advanced algebra skills such as systems of equations, advanced polynomials,
imaginary and complex numbers, quadratics, and concepts and includes the study of
trigonometric functions. It also introduces matrices and their properties. The content of this
course is important for students’ success on both the ACT and college mathematics entrance
exams. Textbook required: Algebra and Trigonometry: Structure and Method Book 2 by Richard
G Brown. ISBN 10: 0395585368 / ISBN 13: 9780395585368. Prerequisite: successful completion
of Algebra I. Instructor: Dan Tucker

Precalculus / Trigonometry (HS) - This course will cover various topics fundamental to an
understanding of calculus, including analysis of various types of functions: linear, quadratic,
exponential, logarithmic, etc.; systems of linear equations and trigonometric functions and
identities. Textbook required: Trigonometry: A Graphing Approach by Ron E Larson, Roland E
Larson and Robert P Hostetler. ISBN 10: 0669282960 / ISBN 13: 9780669282962. Instructor:
Dan Tucker

Calculus 1/2 (HS)- 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. Textbook required:
Calculus: Early Transcendentals by James Stewart. ISBN 10: 0538497904 / ISBN 13:
9780538497909. Instructor: Dan Tucker

Calculus 2/3 - Differential Equations (HS) –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 integral. You will see that these concepts, as
scary as they may sound, are actually a natural generalization of the things you already know
from Calculus I and the first half of Calculus 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.
Textbook required: Pending. Instructor: Dan Tucker