Sets, relations, functions with particular attention to properties of algebraic, exponential, logarithmic functions, their graphs and applications in preparation for MATH 019. May not be taken for credit concurrently with, or following receipt of, credit for any mathematics course numbered MATH 019 or above. Pre/co-requisites: Two years of secondary school algebra; one year of secondary school geometry.
Open to Degree and CDE students
This three-credit course covers sets, relations, and functions with particular attention to properties of polynomial, rational, exponential, and logarithmic functions, their graphs and applications. It may not be taken for credit concurrently with, or following receipt of, credit for any mathematics course numbered 19 or above. Upon successful completion of the course, students will be prepared to take Math 019—Fundamentals of Calculus I. Learning Objectives: After completing this course, students will be able to: • Solve linear equations and inequalities • Find the x and y-intercepts and the slope of a linear equation • Understand and use function notation • Identify the parent function for a variety of familiar functions and understand how that function can be transformed • Solve quadratic equations by factoring, completing the square and using the quadratic formula • Understand complex numbers as solutions to a certain type of quadratic equation • Solve rational and radical equations • Sketch the graph of a polynomial function • Use polynomial division to solve cubic and quartic equations • Find vertical and horizontal asymptotes for a rational equation • Identify which functions are invertible and know how to find the inverse of a function • Solve exponential and logarithmic equations • Solve a variety of application problems related to all types of functions studied in this course • Graph constant, linear, quadratic, cubic, exponential, logarithmic, rational and piecewise functions
We will be using the ALEKS online learning program in this course. You are required to purchase access to ALEKS, which comes with an electronic textbook: College Algebra, third edition, Coburn & Coffeit. The eBook version of the text contains all of the material contained within a hardcopy of the text but also includes links to demonstrations, tutorials, videos, and other resources. There is no need to purchase a personal hardcopy of the text. You can purchase the access code at the UVM Bookstore or directly from the ALEKS website, www.aleks.com. You are expected to watch all lesson videos and to spend 4-6 hours per week working on ALEKS Objectives, Quizzes or Tests.
Homework/Objectives (on ALEKS) 25% Quizzes (on ALEKS) 25% Pie Progress (on ALEKS) 10% Midterm Exam (on ALEKS) 20% Final Exam (cumulative, date TBD) 20%
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