mth225 | undergraduate
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Trigonometric Functions and Identities
- Construct the unit circle.
- Use the unit circle to find the values of trigonometric functions.
- Apply trigonometric functions to solve right triangles.
- Describe the graphs of trigonometric functions.
- Manipulate trigonometric identities.
- Analyze values of inverse trigonometric functions.
- Convert angle measures between degrees and radians.
Trigonometric Equations, Law of Sines, Law of Cosines, and Polar Coordinates
- Solve trigonometric equations.
- Solve oblique triangles using the laws of sines and cosines.
- Convert coordinates between polar and rectangular.
- Convert equations between polar and rectangular.
Introduction to Functions
- Analyze graphs of functions including inverse functions.
- Graph functions including inverse functions.
Use different methods to find the roots of polynomials.
- Apply the fundamental theorem of algebra.
- Apply the use of functions to real-world situations.
Rational, Logarithmic, and Exponential Functions
- Determine the domain of a rational function.
- Identify the vertical, horizontal, and slant asymptotes of a rational function.
- Solve exponential and logarithmic functions.
- Analyze the relationship between exponential and logarithmic functions.
- Analyze graphs of exponential and logarithmic functions.
- Apply exponential and logarithmic functions to real-world problems.
Systems of Equations
- Calculate solutions using Gaussian elimination.
- Calculate solutions using inverse matrices.
Solve systems of linear equations in two variables.
- Solve systems of linear equations in three variables.
- Calculate solutions using Cramer’s rule.
Precalculus Content Review
- Review all topics and objectives from Weeks One through Six.
Conic Sections, Sequences, and Series
- Solve geometric sequences and series.
- Differentiate among the equations for conic sections.
- Examine how transformations affect conic sections.
- Use sequence and summation notation.
- Solve arithmetic series.
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