**Course Description: **This
course will introduce the student to the basic concepts of the calculus. It will give the student an appreciation of
the calculus and its applications in the real world and will prepare the
student for future work in mathematics and the sciences. Course includes functions, limits,
continuity, derivatives and their applications, and integration and its
applications.

**Textbook: **Herman,
E. J. & Strang, G. (2018). *BBCC
Calculus I*, published by OpenStax, remixed by Lulu.

**Unit 1: Limits**

· 2.2 The Limit of a Functions

· 2.5 The Precise Definition of a Limit

**Unit 2: Derivatives**

· 3.2 The Derivative as a Function

· 3.4 Derivatives as Rates of Change

· 3.5 Derivatives of Trigonometric Functions

· 3.7 Derivatives of Inverse Functions

· 3.8 Implicit Differentiation

· 3.9 Derivatives of Exponentials and Logarithms

**Unit 3: Applications
of Derivatives**

· 4.2 Linear Approximations and Differentials

· 4.5 Derivatives and the Shape of a Graph

· 4.6 Limits and Infinity and Asymptotes

· 4.7 Applied Optimization Problems