For each unit of credit, a minimum of three hours per week with one of the hours for class and two hours for studying/preparation outside of class is expected.
The Mathematics Department at Seward County Community College will enhance a student's ability to think critically using mathematical principles, ideas, and concepts in order to function in a society with ever-changing technology.
Outcome #4: Demonstrate mathematical skills by using a variety of techniques and technologies.
Outcome #5: Demonstrate the ability to think critically by gathering facts, generating insights, analyzing data, and evaluating information.
Expected learning outcomes of this course are in alignment with the learning objectives established by the Statewide Core Competencies. Students will be expected to use appropriate technology as one tool to achieve the following outcomes: Analysis and Graphing of Functions and Equations
- Use functional notation, including finding arithmetic combinations and compositions of functions.
- Recognize and distinguish between functions and relations (equations).
- Use concepts of symmetry, intercepts, left- and right-hand behavior, asymptotes, and transformations to sketch the graph of various types of functions (constant, linear, quadratic, absolute value, piecewise-defined, square root, cubic, polynomial, rational, exponential, and logarithmic) or relations (circle) given in description.
- Determine the domain and range of relations and function.
- Write the equation that describes a function (for types given above) or circle given its description.
- Use graphs of functions for analysis
- Find the inverse of a function. Solutions of Equations and Inequalities
- Solve equations including literal equations, linear equations, quadratic equations by factoring and the quadratic formula, higher-order polynomial equations, equations involving rational expressions, equations involving radicals, equations involving absolute value expressions, along with equations involving exponential or logarithmic functions.
- Solve inequalities of the following types: linear (in one and two variables), polynomial, rational, absolute value.
- Solve systems of inequalities by graphing.
- Apply equations such as constant, linear, quadratic, absolute value, piecewise-defined, square root, cubic, polynomial, rational, exponential, and logarithmic to real-world situations, including but not limited to depreciation, growth and decay, and max/min problems.
- Examine and analyze data, make predictions/interpretations, and do basic modeling.
- Solve systems of equations by various methods, including matrices.
- Quadratic functions. Graphs, solve equations using completing the square method and quadratic formula, modeling and applications.
- Polynomial functions and equations. Third, fourth, and (n)th degree equations are examined for properties and zeros, (rational, irrational, and complex). The Fundamental Theorem of Algebra is presented along with the Remainder Theorem, the Factor Theorem, and the Rational Zeros Theorem.
- Rational functions. Graph by hand by finding asymptotes and intercepts. Solve rational equations.
- Radical functions. Graph and solve radical equations.
- Graphing. A thorough study of graphing by sketching and by the use of the graphing calculator is done including the graph of the polynomial function and the rational function.
- Linear, polynomial, rational and absolute value inequalities.
- Exponential and Logarithmic Functions. Graphs, algebraic properties, solving equations, and applications.
- Systems of equations with two or more variables and applications. Solve by various methods including matrices.
- Systems of inequalities and their applications.
- Lecture/Discussion
- In class and out of class assignments
- Calculator and computer exercises
- Whiteboard drills
- Calculator demonstrations
- Quizzes and Examinations
- Individual help
- Textbook
- Library mathematics reference books
- Supplementary materials prepared by the instructor
- Computer tutorial programs
- Computer projector and laptop computer used for computer demonstrations
- Graphing calculator
Methods of assessing the general course outcomes and the specific course competencies include tests, daily quizzes, and class attendance.
SCCC Outcome #4 will be assessed and measured by quizzes, tests, and use of a graphing calculator.
SCCC Outcome #5 will be assessed and measured using assignments, tests and
nontraditional problem-solving activities.
Under the Americans with Disabilities Act, Seward County Community College will make reasonable accommodations for students with documented disabilities. If you need support or assistance because of a disability, you may be eligible for academic accommodations. Students should identify themselves to the Mental Health Counselor at 620-417-1106 or go to the Student Success Center in the Hobble Academic building, room A149.