Courses

Course Description

$ 18 per hour for 10 hours or choose from COURSE PLAN.

In Pre-calculus course, MathTech orients students continue to build on the knowledge acquired in Algebra I, Algebra II, and Geometry.Students will continue to expand their understanding of math concepts through other arithmetical experiences.

The goal of this course is to provide students with the necessary mathematical foundations for the learning of AP

Calculus the following year, including getting a good grip on the various functions such as polynomials, exponential, logarithmic and trigonometric. With AP Calculus in mind, functions are presented in one or more of the following ways: analytical (algebraic), numerical, graphical, and verbal.Students will use functions, equations, and limits as tools to express the various mathematical concepts as well as means to analyze, explore, and understand a broad variety of mathematical relationships. In addition to using functions to represent and connect ideas in trigonometry, probability, etc., students also learn to use a symbolic language to model real life situations in our physical world.

Course Objectives

The purpose of this course is to provide students a brief review of what they learned previously in Algebra and then

expand further their knowledge by exploring and analyzing more deeply those algebra topics and to introduce students

to trigonometry.

Students will learn:

The fundamental concepts of algebra, trigonometry, and analytical geometry;

To understand the properties of different functions;The graphs of different functions and their properties;To be aware of the many applications of pre-calculus.

Chapter 1: Function and Graphs

• Functions and their Properties   Twelve basic Functions  Parametric Relations and Inverses

• Graphical Transformation   Modeling with functions

Chapter 2: Polynomial Power and Rational Functions

• Linear and Quadratic Functions and Modeling    Power Functions with Modeling

• Polynomials of Higher Degree.     Fundamental Theorem of Algebra

• Real zeros of Polynomial Functions

Chapter 3. Exponential, Logistic and Logarithmic Functions

• Exponential and Logistic Functions.  Exponential and Logistic Modeling

• Logarithmic Functions and their Graphs.   Properties of Logarithmic Functions

Chapter 4: Trigonometric Functions

• Angles and Measures.   Trigonometric Functions of Acute Angles

• Circular Functions. Graphs of Trigonometric Functions

• Inverse Trigonometric Functions  Solving Problems with Trigonometry

Chapter 6: Applications of Trigonometry

• Vectors in the Plane.  Dot product of vectors.  Polar Coordinates. Graphs of Polar equations

Chapter 8: Analytic Geometry in 2 and Three Dimensions

• Conic Sections.  Circles and Ellipses.  Hyperbolas.

 Three-dimensional Cartesian Coordinate system

Chapter 9: Discrete Mathematics

• Basic Combinatorics.   Binomial Theorem

• Sequences and Series. Mathematical Induction

Chapter 11: Introduction to Calculus:

• Limits and Motion. Differential Calculus Basics  Integral Calculus Basics