- Use the concepts of definite integrals to solve problems involving area, volume, work, and other physical applications.
- Use substitution, integration by parts, trigonometric substitution, partial fractions, and tables of anti-derivatives to evaluate definite and indefinite integrals.
- Define an improper integral.
- Apply the concepts of limits, convergence, and divergence to evaluate some classes of improper integrals.
- Determine convergence or divergence of sequences and series.
- Use Taylor and MacLaurin series to represent functions.
- Use Taylor or MacLaurin series to integrate functions not integrable by conventional methods.
- Demonstrate an ability to engage productively with others in individual and group conversation, debate and group work .
- Demonstrate an ability to engage and follow through in all required and choice activities.
- Demonstrate an ability to produce creative solutions to some of the intractable problems in human society.
- Demonstrate an understanding of growth goals as outlined in the Blooms, Skills and 21st Century rubrics.
- Work diligently with intention to further develop in all growth goals.
- Demonstrate deep understanding of the enduring understandings and essential questions.
- Formulate informed answers to our essential questions. Express them in writing, discussion and other/other symbol systems