Calculus I

Team members: Bianca Sosnovski (Queensborough CC), Tao Chen (LaGuardia CC), Ramon Rasaq (BCC) and Giancarlo Paolillo (City College)

If you would like to use our sets please contact: Marianna Bonanome at mbonanome@citytech.cuny.edu or Andrew Parker at kparker@citytech.cuny.edu

Instructions to use our WeBWorK sets:

These sets are still a work in progress and that we are looking for feedback so we can improve them. 

The team’s goal is to provide an ample selection of problems. There are many more problems than anyone necessarily wants to assign and that it is up to the instructor to go through and assign only those problems appropriate to to his/her campus-specific curriculum before opening up the set to the students.

It is ok to just delete and reorder the problems in each set since we have master copies on our development server. 

If you decide to use the course again with your configurations saved, you can archive it at the end of the semester to import to another class of yours.

When leaving your feedback, please be as specific as possible. Include a problem path file if possible so we can identify and rectify issues. General comments on style, language, consistency etc. are also welcome. We appreciate your time and your help!

Please leave feedback on our Calculus I WeBWorK sets here.

Openstax Table of Contents – WeBWorK sets are under development for the following sections:

Chapter 1 Functions and Graphs

1.1 Review of Functions

1.2 Basic Classes of Functions

1.3 Trigonometric Functions

1.4 Inverse Functions

1.5 Exponential and Logarithmic Functions

Chapter 2 Limits

2.1 A Preview of Calculus

2.2 The Limit of a Function

2.3 The Limit Laws

2.4 Continuity

2.5 The Precise Definition of a Limit

Chapter 3 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 Exponential and Logarithmic Functions

Chapter 4 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 at Infinity and Asymptotes

4.7 Applied Optimization Problems

4.8 L’Hôpital’s Rule

4.9 Newton’s Method

4.10 Antiderivatives

Chapter 5 Integration

5.1 Approximating Areas

5.2 The Definite Integral

5.3 The Fundamental Theorem of Calculus

5.4 Integration Formulas and the Net Change Theorem

5.5 Substitution

5.6 Integrals Involving Exponential and Logarithmic Functions

5.7 Integrals Resulting in Inverse Trigonometric Functions

Chapter 6 Applications of Integration

6.1 Areas between Curves