
Click for official syllabus
PREREQUISITE:
TEXTBOOK: Algebra & Trigonometry, Tenth Edition. By Michael Sullivan. Pearson Prentice Hall Publishing.
COURSE
DESCRIPTION: I begin this course
with a survey of Function. We discuss a
lot about functions, their importance,
graphs, properties, display a beginning catalog of elementary
functions, graphing techniques (transformations), and construction
of functions as mathematical models.
Then we discuss the conic sections (circle, parabola, ellipse,
hyperbola) From there on, and for the
rest of your mathematical lives, you will be exposed to a variety of functions
such as constant functions, linear functions, quadratic functions, the general
polynomial functions, piecewise functions, rational functions, onetoone
functions, inverse functions, exponential and logarithmic functions, and of
course, all relevant applications. Then
we discuss systems of linear equations, matrices, determinants, introduction to
basic partial fraction decomposition, systems of nonlinear equations, systems
of inequalities, arithmetic and geometric sequences, mathematical induction,
the Binomial Theorem, and all relevant applications. Please realize that other functions exist in
the Universe of Mathematics, but they are not treated in this course. Functions like the trigonometric functions,
hyperbolic functions, differentiable, integrable functions, etc. are treated in
other courses such as Trigonometry (
1] Functions_Review
2] Polynomial_Functions_Review
3] Division_of_Polynomials_Review
Click for conic_sections ; conics ; whispering_galleries ; conics_occurrence (Jill
Britton Home Page); more_halley
Functions
Function_Exercise
Quadratic_Functions
Polynomial_Functions
Practice_Problems_2
Division of Polynomials
Rational Functions
Exponential and Logarithmic Functions
Compounded Interest
Logarithmic Scales; Decibels; Noise_Center: Sound_Intensity; Decibel_Demo (need sound card)
Linear Systems and Matrices
Sequences; Series
Final Review