Course ePortfolio
MTH 215
Algebra ad Trigonometry
Prerequisites
Elementary algebra
Pedagogical Approach & Learning Outcomes
Pedagogical Approach
Perform operations on polynomials.Factor polynomials.
Write a rational expression in simplest form
Compute rational expressions.
Simplify radical expressions.
Multiply and divide radical expressions.
Absolute Value in Equations and Inequalities
Quadratic Equations
Complex Numbers
Functions and Graphs
The Algebra and Composition Functions
OnetoOne and Inverse Functions
Analyzing Graphs
Graphing Polynomial Functions
Find the domain of a rational function.
Find the intercepts of a rational function.
Graph general rational functions.
Exponential and Logarithmic Functions
Write exponential equations in logarithmic form.
Graph logarithmic functions and find their domains.
Use exponential equations to find the interest compounded in times per year.
Use exponential equations to find the interest compounded continuously.
Solve exponential growth and decay problems.
Systems of Linear Equations in Two Variables
Solving Linear Systems Using Augmented Matrices
Sequences and Series
TRIGONOMETRY
Learning Outcomes
Perform operations on polynomials.
Factor polynomials.
Write a rational expression in simplest form
Compute rational expressions.
Simplify radical expressions.
Multiply and divide radical expressions.
Solve and graph linear inequalities.
Solve absolute value equalities and inequalities.
Factoring and solving Quadratic Equations using Factoring
Graph quadratic functions by completing the square and using transformations.Graph a general quadratic function using the vertex formula.Solve applications involving quadratic functions. Graph polynomial functions.Describe the end behavior of a polynomial graph. Find the domain of a rational function.Find the intercepts of a rational function.Graph general rational functions. Evaluate an exponential function.Graph exponential functions. Write exponential equations in logarithmic form.Graph logarithmic functions and find their domains. Apply the properties of logarithms.Use the changeofbase formula. State the size of a matrix and identify entries in a specified row and column.Form the augmented matrix of a system of equations.Recognize inconsistent and dependent systems. Find the sum of a geometric series.Solve application problems involving geometric sequences and series.Assessment & Other Information
Assessment
Assignments, quizzes , reading text book, watching videos
Other Information
None
Course Resources

Precalculus (Open (Access) Textbook)

Precalculus (Open (Access) Textbook)

Precalculus (Open (Access) Textbook)

Precalculus (Open (Access) Textbook)

Precalculus (Open (Access) Textbook)

Precalculus I (Online Course)

College Algebra (Open (Access) Textbook)

CSULB PreCalculus Algebra Course Redesign (ePortfolio)

Precalculus (formerly College Algebra) (Open (Access) Textbook)

College Trigonometry (Open (Access) Textbook)

College Algebra (Open (Access) Textbook)