MATH 209 Calculus
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The MATH 209 Calculus course is a foundational course, which plays a significant role in the understanding of engineering, science, economics, and computer science, among other course disciplines. This introductory calculus course comprises differentiation and integration of functions of one variable, with applications. Topics comprise:
- Concepts of Function, Limits and Continuity
- Differentiation Rules, Application to Graphing, Rates, and Approximations
- Definite and Indefinite Integration
- The Fundamental Theorem of Calculus
- Applications to Geometry: Area, Volume, and Arc Length
- Applications to Science: Average Values, Work, and Probability
- Approximation of Definite Integrals, Improper Integrals, and L'Hospital's Rule
After finishing this course, students must have developed a clear understanding of the basic concepts of single variable calculus along with a range of skills, which let them to work efficiently with the concepts.
The fundamental concepts are:
- Derivatives as rates of change, calculated as a limit of ratios.
- Integrals as a "sum," calculated as a limit of Riemann sums.
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