Welcome to the Calculus page!
This is a dual enrollment course with Bergen Community College. More details will follow in October as to how to enroll.
Dual Enrollment Calculus
This course provides a student with the opportunity to earn 4 credits through Bergen Community College. To be eligible for the program, students have a 2.75 or higher cumulative g.p.a. and demonstrate the ability to successfully complete the course. For this course, a student must also have earned a grade of 75 or above in Precalculus Honors or a grade of 80 or above in Precalculus.
Key Topics for Calculus
Limits
Finding limits using direct substitution.
Applying properties of limits.
Finding limits where algebraic manipulation is necessary.
Finding limits for graph of a function.
Finding limits at infinity.
Finding left- and right-hand limits.
Continuity
Determine continuity of a function at a specific value using the 3 conditions for continuity
Derivatives
Find the derivative of a function using the definition of derivative.
Find the derivative of a function by applying the derivative rules.
Find the derivative using implicit differentiation.
Applications of Derivative
Find the equation of a tangent line.
Solve applied problems from business, science, etc.
Find critical points and inflection points.
Determine where a function is increasing or decreasing.
Determine the concavity of a function.
Riemann Sums
Use Reimann sums to approximate the area on a closed interval.
Antiderivatives
Find an indefinite integral.
Find a definite integral.
Use to find area under a curve.
Integrate using substitution.