ACM 023 Trigonometry & Pre-Calculus B

Course Number and Title: ACM 023 Trigonometry & Pre-Calculus B

Print Syllabus
Campus Location:
Georgetown
Effective Date:
2021-51
Prerequisite:
ACM 032 Pre-calculus
Co-Requisites:

None

Course Credits and Hours:
2.25 credits
2.25 lecture hours/week
0.00 lab 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.

Required Text(s):

Obtain current textbook information by viewing the campus bookstore online or visit a campus bookstore. Check your course schedule for the course number and section.

Additional Materials:

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

Schedule Type:
Classroom Course
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:

Students must demonstrate proficiency on all CCPOs at a minimal 75 percent level to successfully complete the course. The grade will be determined using the scale below:

92 – 100 = A
83 – 91 = B
75 – 82 = C
0 – 74 = F

Students should refer to the 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.
Program Graduate Competencies (PGCs are the competencies every graduate will develop specific to his or her major):

None

Disabilities Support Statement:

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. A listing of campus Disabilities Support Counselors and contact information can be found at the disabilities services web page or visit the campus Advising Center.

Minimum Technology Requirements:
Minimum technology requirements for online, hybrid, video conferencing and web conferencing courses.