Course Number and Title:
MAT 193 Reasoning with Functions II
Campus Location
- Georgetown
- Dover
- Stanton
- Wilmington
Prerequisites
Prerequisite: Test Scores or MAT 183
Course Credits and Hours
4 credit(s)
4 lecture hours/week
0 lab hours/week
Course Description
Reasoning with Functions II is designed for students who plan on taking calculus courses or coursework requiring a thorough understanding of functions and algebraic reasoning. This course previews ideas discussed in calculus and offers students a comprehensive and contextualized study of trigonometric functions ensuring they are able to model and solve problems using trigonometric functions and their properties.
Additional Materials
Approved online graphing calculator (see course policies) or approved graphing calculator (see bookstore)
Core Course Performance Objectives (CCPOs)
Model and solve contextualized problems using trigonometric functions and their properties. (CCC 2,6)
Solve contextualized problems by applying trigonometric identities and formulas. (CCC 2,6)
Model and solve problems involving length, area, and volume by applying geometric reasoning. (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:
Model and solve contextualized problems using trigonometric functions and their properties.
Construct sinusoidal functions from circles.
Develop the Unit Circle to evaluate trigonometric functions in degrees and radians.
Use the Unit Circle to evaluate trigonometric functions in degrees and radians.
Use technology to evaluate trigonometric functions in degrees and radians.
Analyze transformations of sinusoidal graphs to include applications.
Apply trigonometric functions and their inverses to real-world models.
Describe the rate of change of trigonometric functions.
Apply trigonometric functions to right triangles.
Solve trigonometric equations.
Solve contextualized problems by applying trigonometric identities and formulas.
Use the Pythagorean identity to algebraically and graphically verify trigonometric identities, find trigonometric values, and rewrite trigonometric expressions in equivalent forms.
Use angle sum identities to evaluate and simplify expressions.
Use the double-angle formulas to model physical phenomena.
Use the laws of sines and cosines to solve oblique triangles.
Model and solve problems involving length, area, and volume by applying geometric reasoning.
Approximate area under a graph of a function using rectangles.
Use algebraic and graphical techniques to solve optimization problems.
Determine the distance between two points in a plane using the Pythagorean Theorem.
Analyze average rates of change of dynamically changing geometric figures.
Calculate arc length using the Pythagorean Theorem.
Calculate average velocities using changes in distance over time.
Use algebraic techniques to solve problems involving absolute value expressions.
Determine the equation of a circle algebraically and identify its center and radius.
- Use similar triangles to model static and dynamic relationships.
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.