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MAT 193 Reasoning with Functions II

Reasoning with Functions II is designed for students who plan on taking calculus courses or coursework requiring a thorough understanding of precalculus concepts. This course 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.

Credits

4

Prerequisite

Prerequisite: Test Scores or MAT 183

See Course Syllabus

Course Number and Title:

MAT 193 Reasoning with Functions II

Campus Location

  • Georgetown
  • Dover
  • Stanton
  • Wilmington

Effective Date

202552

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 precalculus concepts. This course 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)

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)

  1. Model and solve contextualized problems using trigonometric functions and their properties. (CCC 2,6)

  2. Solve contextualized problems by applying trigonometric identities and formulas. (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:

  1. Model and solve contextualized problems using trigonometric functions and their properties.

    1. Construct sinusoidal functions from circles.

    2. Develop the Unit Circle to evaluate trigonometric functions in degrees and radians.

    3. Use the Unit Circle to evaluate trigonometric functions in degrees and radians.

    4. Use technology to evaluate trigonometric functions in degrees and radians.

    5. Analyze transformations of sinusoidal graphs through real-world models.

    6. Apply trigonometric functions and their inverses to real-world models.

    7. Describe the rate of change of trigonometric functions.

    8. Apply trigonometric functions to right triangles.

    9. Solve trigonometric equations.

  2. Solve contextualized problems by applying trigonometric identities and formulas.

    1. Develop Pythagorean identities using the Pythagorean Theorem.

    2. Use Pythagorean, double-angle, and sum and difference identities to verify trigonometric relationships.

    3. Use Pythagorean identities to find trigonometric values.

    4. Develop double-angle identities through real-world models and previously verified identities.

    5. Use double-angle identities to evaluate trigonometric expressions.

    6. Use angle sum and difference identities to expand and evaluate trigonometric expressions.

    7. Use the laws of sines and cosines to solve oblique triangles.

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 Assessments

Exams – 3 Unit tests and final exam (equally weighted)

65%

Formative Assessments

Preview Assignments

5%

Practice Assignments

15%

The course will contain various formative assessments including but not limited to:

  • quizzes
  • educational puzzles


15%

TOTAL

100%

Core Curriculum Competencies (CCCs are the competencies every graduate will develop)

  1. Apply clear and effective communication skills.
  2. Use critical thinking to solve problems.
  3. Collaborate to achieve a common goal.
  4. Demonstrate professional and ethical conduct.
  5. Use information literacy for effective vocational and/or academic research.
  6. 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 online, hybrid, video conferencing and web conferencing courses.

Academic Integrity

https://dtcc.smartcatalogiq.com/Current/Catalog/Academics/Academic-Integrity

Attendance

https://dtcc.smartcatalogiq.com/Current/Catalog/Search?q=attendance

Cell phone/Electronic Device

https://dtcc.smartcatalogiq.com/Current/Catalog/Student-Policy/Cell-Phone-and-Electronic-Device-Policy

Tuition Adjustment Policy

https://dtcc.smartcatalogiq.com/Current/Catalog/Financial/Tuition-Fee-Adjustment-Policy-Course-or-Semester-Withdrawal