NORTH CAMPUS

B_NORTH

Carlos Gil-Vital

 

Your Professor of Mathematics

 

welcome to: MAC 1140 PRE-CALCULUS ALGEBRA

 

YOUR FAVORITE MATHEMATICS COURSE

 

 

Click for official syllabus

PREREQUISITE: MAC 1105 with a grade of C or better.

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, piece-wise functions, rational functions, one-to-one 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 non-linear 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 (MAC 1114), Calculus (MAC 2311, MAC 2312, MAC 2313), etc. It is a privilege to know all of these.

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