This course provides an introduction to a disciplined approach to computer programming and problem solving, utilizing a block-structured high level language, with an emphasis on procedural abstraction and good programming style. Students will apply programming skills in solving a variety of problems. Algorithmic concepts are also introduced. This course also provides a survey study of data structures and data abstraction, and an introduction to complexity considerations and program verification. There will also be an overview of general and introductory computer science concepts.

Course Description:

This course will focus on rational expressions, complex numbers, complex fractions, roots and radicals. There will also be a focus on quadratic equations and functions, exponential and logarithmic functions and systems of nonlinear equations All topics include applications and problem solving techniques.

Students will be provided with clear and logical presentations on techniques to evaluate problems both analytically and graphically, apply theorems and solve problems.

List of Topics:

 Simplify rational and radical expressions
 Determine the domain of a rational or radical function
 Solve rational and radical equations, including the solution for complex roots
 Develop and solve rational equations from advanced word problems
 Completing the Square
 The Quadratic Formula
 Quadratic Functions and Their Graphs
 Exponential and Logarithmic Functions and Their Graphs
 Properties of Logarithms
 Exponential and Logarithmic Equations
 Exponential Growth and Decay
 Systems of Nonlinear Equations in Two Variables

Course Description:

This course reviews and develops intermediate and advanced Algebra skills. The primary
general education learning outcome for this course is quantitative reasoning, which will require
students to read and analyze data, develop mathematical models, draw inferences and support
conclusions based on mathematical reasoning. A graphical approach will be utilized throughout
the course with an emphasis on solving application problems.

List of Topics:
 Angles and Radian Measure
 Trigonometric Functions (The Unit Circle and Right Triangles)
 Trigonometric Functions of Any Angle
 Graphs of Sine, Cosine and Tangent Functions
 Inverse Trigonometric Functions (Sine, Cosine and Tangent)
 Applications of Trigonometric Functions
 Verifying Trigonometric Identities (Sum, Difference, Double-Angle and Half Angle)
 Trigonometric Equations§ Law of Sines and Cosines
 Systems of Linear and Nonlinear Equations
 Introduction to Limits
 Introduction to Derivatives and Integrals

This course is an introduction to Calculus and its applications mainly to business and economics related problems. The course covers an introduction to the fundamentals of single variable calculus. Topics covered include an introduction to limits, continuity, derivative, differentiation rules, derivative tests, graphing functions, Riemann sums, integral, the Fundamental Theorem of Calculus, some integration techniques, and applications to problems.

The objectives of the course are to provide the student with analytical skills and expose him/her to the basic theory and applications of the calculus of a single variable. Upon successful completion of this course, the student will develop the skills required  to employ calculus on elementary problems in business and economics.