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Get an introduction to differential and integral calculus. Examine the key concepts of limit, derivative and continuity, as well as the main applications of derivatives in graphing and optimizing functions. Explore the fundamental theorem of calculus. Finally, apply the concept of integration to calculating volumes through solids of revolutions.
Learner Outcomes
- Explain the derivative as a rate of change, the slope of the tangent line, velocity or marginal economic units
- Explain the definite integral as both a summation and an antiderivative
- Recognize and explain the role of limits in both of the above concepts
- Recognize and read symbolic forms and the algebraic structure underlying the study of calculus
- Apply concepts to solve increasingly more difficult problems
- Explain the role of proofs in mathematics