Course Number and Title:
MAT 183 Reasoning with Functions I
Campus Location
- Georgetown
- Dover
- Stanton
- Wilmington
Prerequisites
Prerequisite: Test Scores or MAT 099
Course Credits and Hours
5 credit(s)
5 lecture hours/week
1 lab hours/week
Course Description
Reasoning with Functions I is the first course of a two-course sequence that prepares students to enter Calculus and be successful in future STEM coursework. This course is a contextualized in-depth study of linear, polynomial, rational, radical, exponential, and logarithmic functions.
Additional Materials
Approved online graphing calculator (see course policies)
Core Course Performance Objectives (CCPOs)
- Use functions to describe quantitative relationships. (CCC 2,6)
- Analyze characteristics of function families. (CCC 2,6)
- Apply algebraic and graphical techniques to solve contextualized problems involving functions. (CCC 2,6)
See Core Curriculum Competencies and Program Graduate Competencies at the end of the syllabus. CCPOs are linked to every competency they develop.
Measurable Performance Objectives (MPOs)
Upon completion of this course, the student will:
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Use functions to describe quantitative relationships.
- Determine whether a relationship is a function.
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Determine the domain and range of a function.
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Interpret rates of change of quantities from context, tables, graphs, and equations.
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Evaluate and algebraically manipulate functions.
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Apply transformations of functions.
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Apply compositions of functions.
- Analyze characteristics of function families.
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Identify different functions based on patterns in tables, graphs, and equations.
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Convert between representations of functions.
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Graph functions with and without technology.
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Analyze the graphs of linear, quadratic, polynomial, rational, exponential, and logarithmic functions to identify key features.
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Find inverse functions graphically and algebraically.
- Apply algebraic and graphical techniques to solve contextualized problems involving functions.
- Use slope-intercept and point-slope formulas to determine the equation of a line.
- Solve a system of linear equations algebraically and graphically.
- Solve linear, quadratic, rational, and radical equations algebraically.
- Use graphs of linear, quadratic, and exponential functions to solve contextualized problems.
- Use properties of logarithms to simplify logarithmic expressions.
- Use the inverse relationship between logarithmic and exponential functions to solve equations.
Evaluation Criteria/Policies
The grade will be determined using the Delaware Tech grading system:
| 90-100 |
= |
A |
| 80-89 |
= |
B |
| 70-79 |
= |
C |
| 0-69 |
= |
F |
Students should refer to the
Catalog/Student Handbook for information on the Academic Standing Policy, the Academic Integrity Policy, Student Rights and Responsibilities, and other policies relevant to their academic progress.
Final Course Grade
Calculated using the following weighted average
|
Evaluation Measure
|
Percentage of final grade
|
|
Summative: Exams – 3 Unit Tests and final exam in two parts (equally weighted)
|
65%
|
|
Formative Assessments
|
15%
|
| Formative: Preview Assignments |
5% |
| Formative: Practice Assignments |
15% |
|
TOTAL
|
100%
|
|
|
| |
|
| |
|
| |
|
| |
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Core Curriculum Competencies (CCCs are the competencies every graduate will develop)
- Apply clear and effective communication skills.
- Use critical thinking to solve problems.
- Collaborate to achieve a common goal.
- Demonstrate professional and ethical conduct.
- Use information literacy for effective vocational and/or academic research.
- Apply quantitative reasoning and/or scientific inquiry to solve practical problems.
Students in Need of Accommodations Due to a Disability
We value all individuals and provide an inclusive environment that fosters equity and student success. The College is committed to providing reasonable accommodations for students with disabilities. Students are encouraged to schedule an appointment with the campus Disabilities Support Counselor to request an accommodation needed due to a disability. The College's policy on accommodations for persons with disabilities can be found in the College's Guide to Requesting Academic Accommodations and/or Auxiliary Aids Students may also access the Guide and contact information for Disabilities Support Counselors through the Student Resources web page under Disabilities Support Services, or visit the campus Advising Center.