posted Dec 20, 2017, 7:57 AM by Matthew Grenfell
- Limit rules allowing limit computations.
- Limit Computations.
- Understanding an indeterminate form when regarding limits.
- Being able to correctly use L’Hôpital’s rule in calculating limits.
- Understanding continuity and it implications.
- Differentiating using the differentiation rules for functions involving algebraic, trigonometric, exponential and logarithmic functions.
- Understanding how to differentiate implicitly.
- Being able to compute a tangent line to a differentiable function.
- Optimization (maximum-minimum applied questions).
- Computing areas between curves and bounded by curves.
- Understanding the use of f’ and f’’ in determining qualities of f.
- Understanding what critical numbers of a function are.
- Understanding how to solve applied rate of change questions.
- Understanding the nature of a definite integral, even with a parameter involved.
- Definite and indefinite integration, including the use of u-substitution.
- Understanding volumes of revolution
- Understanding the interplay between distance, velocity and acceleration of an object.
- Being able to compute a tangent line to a differentiable function
- Understanding the difference between displacement and total distance traveled given a velocity function
- Determining analytically graphical aspects of the graph of a function.
- Recognizing and using for computation, the limit definition of a derivative to find the derivative of a function.
- Being able to find vertical and horizontal asymptotes with justification of their answers.
- Optimization questions.
- Understanding the Extreme Value Theorem.
- Average velocity given the position function and instantaneous velocities at a point in time when a given position is attained.
- Understanding Riemann sums.
- Working with models of growth and decay.
- More differentiation using the differentiation rules for functions involving algebraic, trigonometric, inverse trigonometric, exponential and logarithmic functions.
- More questions using u-substitution for indefinite and definite integration.
- Understanding the Fundamental Theorem of Calculus, both parts and using them.
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