# Math 400: Calculus I - Differential Calculus

- By: Roy Simpson
- Publisher: Cosumnes River College
- Source: [LibreTexts](https://math.libretexts.org/Courses/Cosumnes_River_College/Math_400%3A_Calculus_I_-_Differential_Calculus)
- Licence: CC BY-SA
- Read at LibreTexts: https://math.libretexts.org/Courses/Cosumnes_River_College/Math_400%3A_Calculus_I_-_Differential_Calculus
- PDF: https://downloads.libretexts.org/api/v1/download/math-116527/pdf

This text explores the basic concepts of analytic geometry, limits (including indeterminate forms), derivatives, and integrals. The topics covered will include graphs, derivatives, and integrals of algebraic, trigonometric, exponential, logarithmic, and hyperbolic functions. Standard proofs will be covered, such as delta-epsilon proofs and proofs of some theorems. Applications will be covered, including those involving rectilinear motion, differentials, related rates, graphing, and optimization.