Students will develop skills to be successful active learners within a variety of instructional modalities in this course that serves as a co-enrollment for Precalculus. Students will learn to engage peers and instructors; embrace collaborative learning and study groups; reflect on their progress and strategies; and adapt based on self-reflection and results. This course will fuse these topics with the curriculum of Precalculus to help students develop the skills they need to successfully complete Precalculus.
Athena Title
Suppl Instr for Precalculus
Corequisite
MATH 1113 or MATH 1113E
Semester Course Offered
Offered fall, spring and summer
Grading System
A - F (Traditional)
Student Learning Outcomes
By the end of this course, students will identify oscillatory, exponential/logarithmic, and polynomial behavior and derive appropriate functions to approximate the behavior.
By the end of this course, students will state the definition of a function and determine the domain and range of a function as well as determine if the function has an inverse and be able to define the inverse.
By the end of this course, students will provide and defend arguments for conclusions using correct mathematical notation and justify intermediate steps.
By the end of this course, students will read a problem statement and determine a set of steps to answer the question using a formal and effective problem-solving strategy.
By the end of this course, students will manipulate relationships to correctly and efficiently isolate a variable of interest.
Topical Outline
- Review of algebra topics
- Functions and function notation. Finding intercepts, domain, and range
- Average rate of change and forms of lines, modeling problems with linear relationships
- Basic graphs and transformations. Piecewise defined functions
- Operations on functions
- Quadratic functions
- Polynomial functions
- Inverse functions
- Exponential functions
- Logarithms and solving exponential and logarithmic problems
- Angle measures, arc length, and area of a sector
- Definition of the trigonometric functions
- Trig identities
- Trig graphs
- Inverse Trig functions
- Review for Final Exam in Precalculus
Institutional Competencies
Analytical Thinking
The ability to reason, interpret, analyze, and solve problems from a wide array of authentic contexts.
