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
- Use functional definitions and the algebra of functions to solve applications of linear and quadratic functions. (CCC 2, 6)
- Solve problems involving exponential and logarithmic functions. (CCC 2, 6)
- Use the science of statistics to collect, organize, analyze, and interpret data to solve applications. (CCC 2, 6)
- Use statistical tools to solve probabilities and make conclusions to hypotheses. (CCC 2, 6)
- Define trigonometric functions using circular functions. (CCC 2, 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.
Upon completion of this course, the student will:
- Use functional definitions and the algebra of functions to solve applications of linear and quadratic functions.
- Define a function using the language of functions, including domain and range.
- Create and choose the appropriate mathematical model using linear and quadratic 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.
- Find the inverse and identity function.
- Solve applied problems involving linear and quadratic functions.
- Solve problems involving exponential and logarithmic functions.
- Change the logarithmic form of a function to exponential form and vice versa.
- Graph and analyze exponential and logarithmic functions.
- Solve exponential and logarithmic equation algebraically and graphically.
- Solve applied problems involving exponential and logarithmic equations.
- Use the science of statistics to collect, organize, analyze, and interpret data to solve applications.
- Explore data through tables and graphs including histograms and boxplots.
- Calculate and analyze measures of center using mean, median, frequencies, variances, and standard deviations.
- Compare data sets to make conclusions.
- Use statistical tools to solve probabilities and make conclusions to hypotheses.
- Calculate probabilities through experiments and observations.
- Use counting methods to solve probabilities including permutations and combinations.
- Use statistical tests to solve probabilities and make hypotheses.
- Solve binomial probabilities with random variables.
- Find probabilities using areas of standard normal distributions.
- Use confidence intervals to make inferences about data.
- Define trigonometric functions using circular functions.
- Convert between degree and radian measure for a given angle.
- Define six trigonometric functions.
- Solve problems involving arc length.
- Evaluate trigonometric and inverse trigonometric functions.
- Graph trigonometric functions utilizing amplitude, period and phase shift.
- Solve trigonometric equations algebraically and graphically.
- Verify trigonometric identities.
- Solve trigonometric application problems using right triangle definitions.
- Apply trigonometric functions to right triangles.
Students will demonstrate proficiency on all Core Course Performance Objectives at least to the 75 percent level to successfully complete the course. The grade will be determined using the Academic Challenge Grading System:
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.