Course Number and Title: ACM 024 Functions, Statistics & Trigonometry
This course is designed to integrate intermediate algebra, statistics, and trigonometry with other college algebra topics through a functional approach as a preparation for pre-calculus.
Access to a computer, the Internet, and TI-83 Graphing Calculator
- Solve applications of linear and quadratic functions using functional definitions and the algebra of functions. (CCC 2, 6)
- Solve problems involving exponential and logarithmic functions. (CCC 2, 6)
- Collect, organize, analyze, and interpret data to solve applications. (CCC 2, 6)
- Solve probabilities and make conclusions to hypotheses. (CCC 2, 6)
- 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.
Upon completion of this course, the student will:
- Solve applications of linear and quadratic functions using functional definitions and the algebra of functions.
- Interpret functions using the language of functions, including domain and range.
- Create linear and quadratic models using data.
- Solve linear and quadratic equations algebraically and graphically.
- Graph a parent function and perform transformations including translations, scale change, and symmetry.
- Write arithmetic functions and composite functions.
- Solve for the inverse and identity function.
- Solve linear and quadratic applications using appropriate technology.
- Solve problems involving exponential and logarithmic functions.
- Convert logarithmic equations to exponential equations and vice versa.
- Graph and analyze exponential and logarithmic functions.
- Solve exponential and logarithmic equation algebraically and graphically.
- Solve exponential and logarithmic application problems.
- Collect, organize, analyze, and interpret data to solve applications
- Graph data with tables and graphs including histograms and boxplots.
- Calculate and analyze measures of center using mean, median, frequencies, variances, and standard deviations.
- Compare and contrast two or more sets of data.
- Solve probabilities and make conclusions to hypotheses.
- Calculate probabilities through experiments and observations.
- Solve probabilities using counting methods including permutations and combinations.
- Use statistical tests to solve probabilities and make hypotheses.
- Solve binomial probabilities with random variables.
- Find z-scores of sample data and solve applied situations using standard normal distributions.
- Construct confidence intervals to make inferences about data.
- Solve trigonometric functions and application problems using circle and right triangle definitions.
- Convert angle measures between degrees and radians.
- Apply trigonometric functions to right triangles.
- Solve problems involving arc length.
- Evaluate trigonometric and inverse trigonometric functions.
- Verify trigonometric identities.
- Solve trigonometric application problems using right triangles.
- Apply trigonometric functions to the unit circle.
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:
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.
- 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.
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.