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# GEN101 COLLEGE ALGEBRA

## Course Description:

This course goes over fundamentals of college algebra. A detailed study of: quadratic equations, inequalities, Polynomial, rational, logarithmic, and exponential functions; systems of equations; matrices; and determinants.

## Learning Objectives & Outline:

• Students will solve Quadratic Equations in one variable by the method of factoring, square root property, completing the square and the quadratic formula.
• Students will solve radical equations, fractional equations, and equations of quadratic form.
• Students will solve linear inequalities and linear equations involving absolute value, state the solution in interval notation, and graph the solution.
• Students will solve non-linear (quadratic and rational) inequalities, state the solution in interval notation, and graph the solution.
• Students will solve exponential and logarithmic equations.
• Students will solve systems of linear and nonlinear in two variables.
• Students will find the distance and midpoint between two points in the Cartesian Plane.
• Students will recognize the equation of a straight line, graph the equation of a straight line, find the slope and intercepts of a line, know the relationship between the slopes of parallel and perpendicular lines, and be able to determine the equation of a line
• Students will graph linear functions, quadratic functions, piecewise-defined functions, absolute value functions, polynomial functions, rational functions, exponential functions, and logarithmic functions.
• Students will understand vertical and horizontal shifts, stretching, shrinking, and reflections of graphs of functions.
• Students will recognize the equation of a circle, sketch the graph of a circle, and find the equation of a circle.
• Students will determine the rational zeros of a polynomial.
• Students will apply the definition of a function, determine the domain and range of a function, evaluate expressions involving functional notation, simplify expressions involving the algebra of functions, graph functions by plotting points, use the definition
• Students will understand the inverse relationship between the exponential and logarithmic functions.
• Students will perform operations with matrices.
• Students will solve and apply systems of linear equations using matrices.

## Grading and Evaluation:

• Minimum passing grade 70%
• Participation: 40% (10 assignments, 4% each)
• Attendance: 10%
• First exam: 20%
• Second Exam: 20%
• Final exam: 10%

## Communication Etiquette:

• If sending emails directly to the Instructor, please include appropriate label in the subject line (Action Required/Info/Admin) and allow up to 3 working days for reply.
• Limit telephone communication with the Instructor to the office hours only.
• When leaving a voicemail, please clearly state your name, course code, and contact number.

## Additional Information:

### Log in Instructions:

To attend live – online lectures (on their scheduled time):

#### Virtual Class Room

Access the course on-line by logging into Online School, accessible from

#### Guidance College Online School

You will need a user name and password to:

• View the recorded lectures if you missed the live online ones.
• Interact with your teacher and classmates.
• Upload and submit your assignments, research papers, and exams.
• View your grades.
• All attempt must be made to submit assignments by the agreed due dates. Late submissions will be penalized.
• Your work will be checked and graded on weekly basis, in sha Allah.

## Vision Statement:

Guidance College shall be one of the top well-recognized universities in the United States that offers graduate and undergraduate degrees in specialized Islamic fields aiming at preparing moral and well-knowledgeable leaders who provide research-based Islamic alternatives that enable the Muslims to contribute to the success of their country.

## Mission Statement:

Guidance College is the place where students gain their undergraduate degrees in authentic and professional specialized Islamic knowledge that recognizes modern-time realities and allows them to examine different branches of knowledge from an authentic Islamic perspective which enables them to think ethically, logically, analytically, and critically while making responsible and moral decisions aiming at improving the quality of life for all inhabitants of the earth with a full understanding and appreciation of the cultural and human differences.