Course SummaryRefresh your understanding of the subjects you'll find on the CSET Mathematics Subtest III exam with this self-paced review course. The short video lessons and quizzes in this course cover topics such as function integrals, the mean value theorem and basic trigonometric identities to help you be prepared on exam day.
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About this Course
The CSET Mathematics Subtest III is the last in a three-part sequence of exams used to award single-subject teaching credentials to aspiring math teachers in California. Like the two subtests before it, subtest III is computer-based and includes 30 multiple-choice as well as four short-answer questions. Prepare to answer them within the test's two-and-a-half hour time frame with the video lessons and quizzes included in this study guide. Instructors cover the following topics to help you put your best foot forward on exam day:
- Basic trigonometric identities
- Inverse trigonometric properties
- Function continuities and limits
- The mean value theorem
- Rules of differentiation
- Function integrals
- Series and sequences
- Mathematical developments
Content domains included in subtest III gauge your ability to apply trigonometry and calculus concepts to real-life situations. Test questions address topics ranging from trigonometric identities and differential equations to geometric series and regions of continuity in graphs of polynomial functions. A handful of test questions are also designed to make sure you have an appreciation for the historical development of mathematics.
Preparing and Registering for the CSET Mathematics Subtest III
If you're getting ready to take the last of the CSET's math subject tests, use this study guide to finish strong. Video lessons and their matching transcripts can help ensure your study plan addresses each of the topics covered on the exam. The multiple-choice quizzes also come in handy if you'd like to assess your mastery of each area before moving on to the next.
Registering for subtest III is as easy as creating an online account. After entering your personal information, selecting a test and submitting payment info, you'll be emailed an authorization to test. This allows you to sign up for the exam date and location you want. Appointments are available year-round, six days a week. However, to allow time for your request to be processed, you must select a date at least four days in advance of the day you intend to test.
Scoring the CSET Mathematics Subtest III
A minimum scaled score of 220 points is required to pass subtest III. Responses to the exam's multiple-choice questions comprise 70% of your score. The remaining 30% is derived from answers to the four short-answer questions. You can find out how you did on the test around six weeks after taking it.
This content domain asks you to prove basic trigonometric identities using the Pythagorean theorem. A knowledge of sine, cosine and tangent sum formulas is also key, as is an ability to graph trigonometric functions and solve trigonometric equations. You'll also need to demonstrate your understanding of inverse trigonometric functions and DeMoivre's theorem.
Limits and Continuity
If you can determine functions' limits and identify regions of continuity in their graphs, you should be all set to answer test questions included in this content domain. An ability to find values within the continuous regions of a function is also required.
Derivatives and Applications
Questions included here measure your proficiency at finding the derivative in graphs of polynomial and exponential functions, among others. This content domain also requires an understanding of their real-world applications to solve problems related to motion as well as growth and decay. You'll need to be familiar with Rolle's theorem and L'Hopital's rule as well.
Integrals and Applications
To do well on this content domain, you'll need to calculate integrals of trigonometric and exponential functions. An aptitude for using integrals to find the volume of three-dimensional shapes, the length of curves and the area of two-dimensional shapes is also required.
Sequences and Series
Calculate the sum of arithmetic and geometric series to successfully answer test questions included on this part of the exam. You'll also be asked to employ the ratio test, integral test or comparison test to find out where two series or sequences converge.
Chronological and Topographical Development of Mathematics
This brief content domain ensures you're aware of the ways in which mathematical discoveries have contributed to society. It also requires you to be familiar with the mathematical contributions made by various individuals, cultures and populations throughout history.
CSET is a registered trademark of the Commission on Teacher Credentialing and Pearson Education, Inc., which are not affiliated with Study.com.
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