# MATH 151 – Calculus I

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

·         2.1 A Preview of Calculus

·         2.2 The Limit of a Functions

·         2.3 Limit Laws

·         2.4 Continuity

·         2.5 The Precise Definition of a Limit

Unit 2: Derivatives

·         3.1 Defining the Derivative

·         3.2 The Derivative as a Function

·         3.3 Differentiation Rules

·         3.4 Derivatives as Rates of Change

·         3.5 Derivatives of Trigonometric Functions

·         3.6 The Chain Rule

·         3.7 Derivatives of Inverse Functions

·         3.8 Implicit Differentiation

·         3.9 Derivatives of Exponentials and Logarithms

·         3.10 Partial Derivatives

Unit 3: Applications of Derivatives

·         4.1 Related Rates

·         4.2 Linear Approximations and Differentials

·         4.3 Maxima and Minima

·         4.4 The Mean Value Theorem

·         4.5 Derivatives and the Shape of a Graph

·         4.6 Limits and Infinity and Asymptotes

·         4.7 Applied Optimization Problems

·         4.8 L’Hopital’s Rule

·         4.9 Newton’s Method

·         4.10 Antiderivatives