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ACM 23 Trigonometry & Pre-Calculus B

This course integrates intermediate algebra, analytic geometry, and trigonometry with other college algebra topics through a functional approach as preparation for calculus.

Credits

3

Prerequisite

Prerequisite: ACM 032

See Course Syllabus

Course Number and Title:

ACM 23 Trigonometry & Pre-Calculus B

Campus Location

  • Georgetown

Prerequisites

Prerequisite: ACM 032

Course Credits and Hours

3 credit(s)

3 lecture hours/week

Course Description

This course integrates intermediate algebra, analytic geometry, and trigonometry with other college algebra topics through a functional approach as preparation for calculus.

Additional Materials

Access to a computer and the Internet TI-83 Graphing Calculator

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. Solve trigonometric application problems using oblique triangle principles. (CCC 2, 6)
  2. Solve problems of applications involving vectors. (CCC 2, 6)
  3. Demonstrate principles of analytic geometry working with conic sections. (CCC 2, 6)
  4. Define parametric equations and polar coordinates, and investigate their graphs. (CCC 2, 6)
  5. Solve problems involving infinite sequences and series. (CCC 2, 6)
  6. Solve trigonometric application problems using right triangle definitions. (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. Solve trigonometric application problems using oblique triangle principles.
    1. Apply trigonometric functions to right triangles.
    2. Solve oblique triangles using the law of sines or law of cosines.
  2. Solve problems of applications involving vectors.
    1. Find the resultant of vectors.
    2. Perform calculations on vectors in component form.
    3. Solve applied problems involving vectors.
  3. Demonstrate principles of analytic geometry working with conic sections.
    1. Calculate the vertex, the focus, and the directrix given an equation of a parabola.
    2. Calculate the center and the radius given an equation of a circle.
    3. Identify the center, the vertices, and the foci given the equation of an ellipse.
    4. Identify the center, the vertices, and the foci given the equation of a hyperbola.
    5. Graph each of the conic sections.
    6. Write the equation for each of the conic sections given the appropriate data.
  4. Define parametric equations and polar coordinates, and investigate their graphs.
    1. Graph parametric and polar equations.
    2. Convert equations form rectangular form to polar form and vice versa.
    3. Determine an equivalent rectangular equation for parametric equations and vice versa.
    4. Determine the location of a moving object at a specific time.
  5. Define trigonometric functions using circular functions.
    1. Convert between degree and radian measure for a given angle.
    2. Define six trigonometric functions.
    3. Solve problems involving arc length and angular speed.
    4. Evaluate trigonometric and inverse trigonometric functions.
    5. Graph trigonometric functions using amplitude, period, and phase shift.
    6. Solve trigonometric equations algebraically and graphically.
    7. Verify trigonometric identities.
  6. Solve trigonometric application problems using right triangle definitions.
    1. Apply trigonometric functions to right 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.

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

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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