Cattaraugus Allegany BOCES
Calculus
This course introduces limits, differentiation, and integration of functions. Stu- dents will find and evaluate finite and infinite limits graphically, numerically, and analytically. They will find derivatives using a variety of methods including The Chain Rule and Implicit Differentiation. They will use the First Derivative Test and The Second Derivative Test to analyze and sketch functions. Subsequently, stu- dents will find antiderivatives using a variety of methods including substitution. They will evaluate integrals using a variety of methods including numerical integra- tion. They will understand and apply Riemann sums, definite integrals, and The Fundamental Theorem of Calculus.
In particular, they will differentiate and integrate logarithmic, exponential, and in- verse trigonometric functions. They will solve simple differential equations that can be solved by separation of variables and use them to solve applied problems. They will use integration to determine the area between two curves, volume, and surface area. Finally, they will apply integration to determine work, center of mass, and fluid force. The use of graphing calculator is considered an integral part of the course and students will use a graphing calculator throughout this course
Prerequisites: Pre-Calculus Required Text: Calculus Eighth Edition¸ Houghton Mifflin
1 Credit
Provider: Aventa
Consumer Math
This course is designed to teach students the importance of managing their per- sonal finances, allowing them to excel in everyday life. The basic mathematical concepts in part one help the student to review and practice math skills. In part two of the course, the student will learn personal finance that utilizes money man- agement skills, the calculation of income, paying taxes, recordkeeping, checking and savings accounts, credit, mortgage payments and investing.
1 Credit Provider: Keystone
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Mathematics
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