Learning Objectives for Calculus C
- Pre-requisite
- The student will know the mathematics needed to have a reasonable expectation of success in the mathematics and statistics courses for which Calculus C is a pre-requisite.
- Breadth
- The student will be able to solve problems involving series, sequences, vectors, vector operations, and techniques and applications of integration.
- Communication
- The student will be able to write clear explanations of the techniques of calculus including the proper use of standard mathematical notation.
- Connections/applicability
-
- The student will be able to model applications by using calculus.
- The student will be able to apply the content from Calculus A and B to solve problems in Calculus C.
- Mathematical thinking
-
- The student will be able to recognize the problem type, select an
appropriate solution strategy and apply rules and procedures for solving the
problem.
- The student will begin to be able to apply theorems in order to solve
problems.
- Technology
- The student will be able to use a CAS to graph functions, calculate
summations, display multiple representations of series, and implement vector
operations.
- Content
-
- To increase the skill set of integration techniques that students know,
especially into the realms of improper integrals and approximation of
integrals.
- To introduce the ideas of infinity, infinite sequences, and the
notation and concept of summation (especially adding up an infinite
number of terms in a series).
- To extend the notion of the summation of sequences of numbers to
the summation of functions, and especially an infinite number of
functions (power, Taylor series).
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