MATHP 141 - Precalculus I Plus Extra Support

10 Credits

This is a 10-credit class for students going into STEM programs needing Math&141 and place slightly below. This course includes, but not limited to piece-wise, composite, inverse, polynomial, rational, exponential, and logarithmic functions. Also discussed are properties of functions, their relationship to equations and inequalities, as well as applications, and circles. Earns 5 credits for Math 098 and 5 credits for Math&141.

Pre-requisite(s) Math 091 with min 2.6
Placement Eligibility Math 107, 111, 146, 180, 098
Fees

Quarters Typically Offered
Fall Day
Winter Day
Spring Day

Designed to Serve This course is designed for students needing Math 141 that place into Math 098 or have successfully completed an intermediate algebra course and have completed Math 091 with a 2.6 or higher. This is a class for students who want or need extra time and support in taking Math 141.
Active Date 20201105T14:51:21

Grading System Decimal Grade
Class Limit 32
Contact Hours: Lecture 110
Total Contact Hours 110
Degree Distributions:
AA

Quantitative Skills
Science

Course Outline

Evaluate functions using function notation including difference quotient for a variety of functions
Use transformations to create graphs of new functions from elementary ones.
Algebraically construct new functions using addition, subtraction, multiplication, division, composition, and inverses.
Perform long division and synthetic division of polynomials.
Evaluate, graph, and analyze behavior of a variety of functions (including polynomial, rational, radical, exponential, and logarithmic)
Solve nonlinear inequalities (polynomial and rational) using sign analysis and describe relationship with graphs of functions.
Simplify expressions involving logarithms using properties and laws of logarithms.
Solve equations using properties of exponents and logarithms.
Create and apply realistic mathematical models for problems involving exponential, logarithmic, and polynomial functions.
Put the equation of a circle into standard form and sketch graph.
Use graphing calculator and/or other programs to evaluate, graph, and analyze behavior of functions (including polynomial, rational, radical, exponential, and logarithmic)
Communicate steps clearly using proper terminology, symbolization, and notation.
Demonstrate attention to detail including analyzing and describing errors in work.

Create awareness of metacognitive strategies focused on growth mindset, time management, organization, error analysis, self-assessment of learning/understanding, test taking strategies, etc.
Students are introduced to resources and learning habits that help success in math (including paying attention to detail and demonstrating intellectual engagement)

Student Learning Outcomes
Recognize, describe, and analyze key features (domain, range, intercepts, and asymptotes) of important function families-polynomial, rational, piece-wise, exponential, and logarithmic functions.

Given the graphical or algebraic representation of a function a student will be able to state and sketch a transformation of the function and determine the domain and range of the transformed function.

Apply approrpiate algebraic methods to find domain, intercepts, and asymptotes (where applicable) to a variety of functions including polynomial, rational, exponential, and logarithmic functions.

Identify and produce composite and inverse functions as well as graph a function and its inverse.

Identify key features of circles and sketch their graphs from equations in general and standard form.

Apply mathematical operations to solve polynomial, rational, exponential, and logarithmic equations.

Solve real world problems using techniques discussed in this course.

Communicate, summarize, and interpret mathematical ideas in written and verbal form.

Effectively use graphing calculators to describe and graph circles and a variety of functions including rational, polynomial, exponential, and logarithmic functions.

Describe and use techniques that improve learning (including effective reading and note taking strategies, studying together, time management, organization or work, paying attention to detail, and error analysis).