Delaware Technical Community College

Campus Location

Georgetown
Dover
Stanton
Wilmington

Effective Date

202451

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)

Required Text(s)

Obtain current textbook information by viewing the campus bookstore - https://www.dtcc.edu/bookstores online or visit a campus bookstore. Check your course schedule for the course number and section.

Disclaimer

None

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:

Use functions to describe quantitative relationships.
1. Determine whether a relationship is a function.
2. Determine the domain and range of a function.
3. Interpret rates of change of quantities from context, tables, graphs, and equations.
4. Evaluate and algebraically manipulate functions.
5. Apply transformations of functions.
6. Apply compositions of functions.
Analyze characteristics of function families.
1. Identify different functions based on patterns in tables, graphs, and equations.
2. Convert between representations of functions.
3. Graph functions with and without technology.
4. Analyze the graphs of linear, quadratic, polynomial, rational, exponential, and logarithmic functions to identify key features.
5. Find inverse functions graphically and algebraically.
Apply algebraic and graphical techniques to solve contextualized problems involving functions.
1. Use slope-intercept and point-slope formulas to determine the equation of a line.
2. Solve a system of linear equations algebraically and graphically.
3. Solve linear, quadratic, rational, and radical equations algebraically.
4. Use graphs of linear, quadratic, and exponential functions to solve contextualized problems.
5. Use properties of logarithms to simplify logarithmic expressions.
6. 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%

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.

Minimum Technology Requirements

Minimum technology requirements for all distance education type courses.

MAT 183 Reasoning with Functions I

Credits

Prerequisite

Course Number and Title: