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calculus:resources:calculus_flipped_resources:integrals
Flipped Calculus 1 at Binghamton
Definite Integrals
Section 4.2 in Stewart's Calculus.
Preclass Learning Objectives:
- Definite integrals calculate the area under a function over an interval.
- Riemann Sums.
- Properties of definite integrals.
The Fundamental Theorem of Calculus
Section 4.3 in Stewart's Calculus.
Indefinite Integrals
Section 4.4 in Stewart's Calculus.
Preclass Learning Objectives:
- An indefinite integral of a function is its general antiderivative.
- The definite integral of a rate of change is the net change.
Integration with Substitution
Section 4.5 in Stewart's Calculus.
Preclass Learning Objectives:
- Substitution is the rule for integration which corresponds to the chain rule for differentiation.
- Introduction to integrating with substitution.
Area
Section 5.1 in Stewart's Calculus.
Preclass Learning Objectives:
- Total area between functions f and g is calculated by integrating the absolute value of the difference of f and g.
Volume
Section 5.2/5.3 in Stewart's Calculus.
Preclass Learning Objectives:
- Formula for calculating volume using cylindrical shells.
- Differences between the washer and shell methods.
The Average Value of a Function
Section 5.5 in Stewart's Calculus.
Preclass Learning Objectives:
- Average Value Formula.
calculus/resources/calculus_flipped_resources/integrals.txt · Last modified: 2015/08/28 22:35 (external edit)