Taylor J. Calculus I Guided Notebook 2ed 2021

Textbook in PDF format

Calculus I tends to be a very difficult course for many students. There are many reasons for this. The first reason is that this course does require that you have a very good working knowledge of Calculus I. The Calculus I portion of many of the problems tends to be skipped and left to the student to verify or fill in the details. If you don’t have good Calculus I skills, and you are constantly getting stuck on the Calculus I portion of the problem, you will find this course very difficult to complete.
Review of Algebra and Trigonometry
The Limit of a Function
Calculating Limits
Continuity
Limits Involving In­finity
Derivatives and Rates of Change
The Derivative of a Function
Basic Differentiation
Product and Quotient Rules
Chain Rule
Differentiation of Implicit Functions
Related Rates
Linear Approximation and Differentials
Exponential, Logarithmic, and Inverse Function
Exponential Functions
Logarithmic Functions
Derivatives of Exponential and Logarithmic Functions
Exponential Growth and Decay
Inverse Trigonometric Functions
Indeterminate Forms and L’Hopital’s Rule
Maximum and Minimum Values
The Mean Value Theorem
Derivatives and the Shape of Graphs
Curve Sketching
Optimization
Newton’s Method
Antiderivatives