This is the primary of three programs in the basic calculus sequence. Topics include the limit of a operate; the by-product of algebraic, trigonometric, exponential, and logarithmic functions; and the particular integral. Applications of the derivative are lined intimately, including approximations of error using differentials, maxima and minima problems, and curve sketching using calculus.

- Emphasis is on the explanation of the mathematical thought course of.
- The course is made out of 3 parts – Equations and Inequalities, Functions and Applications, and Polynomials and Roots.
- All conditions listed below could additionally be replaced by an equivalent or higher-level course.
- Technology specifically designed for data-driven investigations and statistical analysis related to elementary college teaching is built-in throughout the course.

Class actions initiate investigations of underlying mathematical construction in the exploration of form and area. Emphasis is on the explanation of the mathematical thought process. Technology particularly designed to facilitate geometric explorations is built-in throughout the course.

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