MATH 155 Precalculus I & II

In this course, students with prior precalculus experience will further develop their skills. The concept of a function as a tool to model the real world will play a central role. Polynomial, rational, exponential, logarithmic, and trigonometric functions will be studied, along with transformations of functions, operations on functions, and inverse functions. A graphical approach will be utilized throughout, with an emphasis on solving application problems. Graphing calculators and mathematical software will be employed throughout the course. All sections require the use of the interactive computer program that comes with the software code. This course replaces MATH 131.

Credits

5

Prerequisite

Appropriate score on the mathematics placement test

Hours Weekly

5 hours weekly

Course Objectives

1. Communicate mathematical concepts related to precalculus topics using appropriate symbols, notation, and vocabulary.
2. Solve application problems by correctly applying appropriate Precalculus methods, theorems, and/or models (such as operations on, and transformations of, trigonomic functions).
   
3. Analyze, evaluate, justify, and interpret the reasonableness of solutions.
4. Identify and implement appropriate technologies to efficiently complete tasks that involve the solving of cross-discipline, mathematically appropriate problems and creating new works to communicate the processes used and solution.
5. Represent the graphs of equations using various function transformations.

Course Objectives

1. Communicate mathematical concepts related to precalculus topics using appropriate symbols, notation, and vocabulary.

   Learning Activity Artifact

   • Other (please fill out box below)
   • Quizzes or projects

   Procedure for Assessing Student Learning

   • Quantitative Reasoning Rubric
2. Solve application problems by correctly applying appropriate Precalculus methods, theorems, and/or models (such as operations on, and transformations of, trigonomic functions).
   

   Learning Activity Artifact

   • Other (please fill out box below)
   • Quizzes or projects

   Procedure for Assessing Student Learning

   • Quantitative Reasoning Rubric
3. Analyze, evaluate, justify, and interpret the reasonableness of solutions.

   Learning Activity Artifact

   • Other (please fill out box below)
   • Quizzes or projects

   Procedure for Assessing Student Learning

   • Quantitative Reasoning Rubric
4. Identify and implement appropriate technologies to efficiently complete tasks that involve the solving of cross-discipline, mathematically appropriate problems and creating new works to communicate the processes used and solution.

   This objective is a course Goal Only

   Learning Activity Artifact

   • Other (please fill out box below)
   • Projects

   Procedure for Assessing Student Learning

   • Quantitative Reasoning Rubric

   Technological Literacy

   • TL1
   • TL2
5. Represent the graphs of equations using various function transformations.

   Learning Activity Artifact

   • Other (please fill out box below)
   • Quizzes or projects

   Procedure for Assessing Student Learning

   • Quantitative Reasoning Rubric