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ACM 24 Functions, Statistics & Trigonometry

This course is designed to integrate intermediate algebra, statistics, and trigonometry with other college algebra topics through a functional approach as preparation for pre-calculus.

Credits

2

Prerequisite

Prerequisite: ACM 021

See Course Syllabus

Course Number and Title:

ACM 24 Functions, Statistics & Trigonometry

Campus Location

  • Georgetown

Prerequisites

Prerequisite: ACM 021

Course Credits and Hours

2 credit(s)

2 lecture hours/week

Course Description

This course is designed to integrate intermediate algebra, statistics, and trigonometry with other college algebra topics through a functional approach as preparation for pre-calculus.

Additional Materials

Access to a computer, the Internet, and 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 applications of linear and quadratic functions using functional definitions and the algebra of functions. (CCC 2, 6)
  2. Solve problems involving exponential and logarithmic functions. (CCC 2, 6)
  3. Collect, organize, analyze, and interpret data to solve applications. (CCC 2, 6)
  4. Solve probabilities and make conclusions to hypotheses. (CCC 2, 6)
  5. Solve trigonometric functions and application problems using circle and 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 applications of linear and quadratic functions using functional definitions and the algebra of functions.
    1. Interpret functions using the language of functions, including domain and range.
    2. Create linear and quadratic models using data.
    3. Solve linear and quadratic equations algebraically and graphically.
    4. Graph a parent function and perform transformations including translations, scale change, and symmetry.
    5. Write arithmetic functions and composite functions.
    6. Solve for the inverse and identity function.
    7. Solve linear and quadratic applications using appropriate technology.
  2. Solve problems involving exponential and logarithmic functions.
    1. Convert logarithmic equations to exponential equations and vice versa.
    2. Graph and analyze exponential and logarithmic functions.
    3. Solve exponential and logarithmic equation algebraically and graphically.
    4. Solve exponential and logarithmic application problems.
  3. Collect, organize, analyze, and interpret data to solve applications
    1. Graph data with tables and graphs including histograms and boxplots.
    2. Calculate and analyze measures of center using mean, median, frequencies, variances, and standard deviations.
    3. Compare and contrast two or more sets of data.
  4. Solve probabilities and make conclusions to hypotheses.
    1. Calculate probabilities through experiments and observations.
    2. Solve probabilities using counting methods including permutations and combinations.
    3. Use statistical tests to solve probabilities and make hypotheses.
    4. Solve binomial probabilities with random variables.
    5. Find z-scores of sample data and solve applied situations using standard normal distributions.
    6. Construct confidence intervals to make inferences about data.
  5. Solve trigonometric functions and application problems using circle and right triangle definitions.
    1. Convert angle measures between degrees and radians.
    2. Apply trigonometric functions to right triangles.
    3. Solve problems involving arc length.
    4. Evaluate trigonometric and inverse trigonometric functions.
    5. Verify trigonometric identities.
    6. Solve trigonometric application problems using right triangles.
    7. Apply trigonometric functions to the unit circle.

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

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