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# Course ePortfolio

## MTH 215

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### 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.

Absolute Value in Equations and Inequalities

Complex Numbers

Functions and Graphs

The Algebra and Composition Functions

One-to-One 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.

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 change-of-base 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

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