Differential and Integral Calculus I
Sample Quizzes and Tests
and Other Handy Documents
Below are some handy documents along with old quizzes and tests from some previous calculus classes that I have taught at either the University of Alabama in Huntsville, Athens State University, and Longwood University. These classes may have used different textbooks than us and thus topics and the order of coverage of the topics may not be the same as what we cover this semester! The bottom line is that these sample quizzes and tests will not be entirely representative of material you will see on your quizzes and tests. However, I have made them available to you for practice and to help with any quiz/test anxiety you may have.
All files below are pdf files created using Adobe Acrobat 4.0, 5.0, and 7.0. If you don't have the Adobe Acrobat reader, click on the icon below to install the Adobe Acrobat Reader:
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Document |
Description |
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How to Use Derive |
A brief introduction to Derive written by our own Dr. Webber. |
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Introduction to Derive (pdf format) |
A more detailed introduction to Derive (freely available on the Derive website) |
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| Fall 2003 | Quiz 1 | Review Material |
| Fall 2001 | Quiz 1 | Review Material and Average Velocity |
| Fall 2000 | Quiz 2 | Limits From a Graphical and Numerical Point of View (Note: The Graph for this quiz was hand drawn and does not appear in the electronic version.) |
| Fall 2001 | Quiz 2 | Limits From a Graphical and Numerical Point of View (Note: The Graph for this quiz was hand drawn and does not appear in the electronic version.) |
| Fall 2003 | Quiz 2 | Limits from a Graphical Point of View, Average and Instantaneous Rates of Change (Note: The Graph for this quiz was hand drawn and does not appear in the electronic version.) |
| Fall 2005 | Quiz 2 | Limits from a Graphical Point of View, Average and Instantaneous Rates of Change (Note: The Graph for this quiz was hand drawn and does not appear in the electronic version.) |
| Spring 2006 | Quiz 2 | Limits from a Graphical Point of View, Average and Instantaneous Rates of Change (Note: The Graph for this quiz was hand drawn and does not appear in the electronic version.) |
| Fall 2000 | Quiz 3 | Limits From an Analytical Point of View, Finding Basic Limits |
| Fall 2001 | Quiz 3 | Limits From an Analytical Point of View, Finding Basic Limits |
| Fall 2005 | Quiz 3 | Limits From an Analytical Point of View, Finding Basic Limits |
| Spring 2006 | Quiz 3 | Limits From an Analytical Point of View, Finding Basic Limits |
| Fall 2003 | Quiz 3 | Limits Including Limits of Trigonometric Functions |
| Fall 2000 | Quiz 4 | Limits From an Analytical Point of View, Slightly More Challenging Limits |
| Fall 2001 | Quiz 4 | Limits From an Analytical Point of View (includes right and left sided limits), Slightly More Challenging Limits |
| Fall 2005 | Quiz 4 | Continuity and Limits Involving Infinity (Infinite Limits and Limits at Infinity) |
| Spring 2006 | Quiz 4 | Continuity and Limits Involving Infinity (Infinite Limits and Limits at Infinity) |
| Fall 2003 | Quiz 4 | Limits including Infinite Limits and Limits at Infinity |
| Fall 2001 | Quiz 5 | Limits (Includes Limits at Infinity) |
| Fall 2005 | Quiz 5 | Limits Involving Infinity (Infinite Limits and Limits at Infinity) |
| Spring 2006 | Quiz 5 | Limits Involving Infinity (Infinite Limits and Limits at Infinity) |
| Fall 2000 | Quiz 5 | Definition of the Derivative, Basic Concepts About the Derivative |
| Fall 2003 | Quiz 5 | Definition of the Derivative and Rates of Change (Velocity) |
| Spring 2006 | Quiz 5 | Definition of the Derivative, Basic Concepts About the Derivative |
| Fall 2005 | Quiz 6 | Definition of the Derivative, Basic Concepts About the Derivative |
| Fall 2001 | Quiz 6 | Definition of the Derivative, Basic Differentiation Rules, the Tangent Line Problem |
| Fall 2000 | Quiz 6 | Basic Differentiation Rules, Applications of the Derivative |
| Fall 2003 | Quiz 6 | Basic Differentiation Rules, Tangent Lines |
| Spring 2006 | Quiz 6 | Basic Differentiation Rules, Concept of the Derivative |
| Fall 2000 | Quiz 7 | More Differentiation Rules (Product and Quotient) |
| Spring 2006 | Quiz 7 | More Differentiation Rules (Product and Quotient) |
| Fall 2003 | Quiz 7 | Differentiation Rules (Includes the Chain Rule) |
| Fall 2001 | Quiz 7 | Differentiation (Includes the Chain Rule) |
| Fall 2000 | Quiz 8 | More Differentiation Rules (Chain Rule) |
| Spring 2006 | Quiz 8 | More Differentiation Rules (Chain Rule) |
| Fall 2003 | Quiz 8 | More Differentiation Rules (Chain Rule), Implicit Differentiation |
| Fall 2005 | Quiz 8 | More Differentiation Rules (Chain Rule), Implicit Differentiation, l'Hospital's Rule |
| Fall 2001 | Quiz 8 | Rates of Change and Implicit Differentiation |
| Spring 2006 | Quiz 9 | Finding Derivatives using All Rules |
| Fall 2005 | Quiz 9 | Finding Derivatives using All Rules, Includes Implicit Differentiation |
| Fall 2005 | Quiz 10 | l'Hospital's Rule |
| Spring 2006 | Quiz 10 | Logarithmic Differentiation, Linear Approximation |
| Fall 2000 | Quiz 9 | Implicit Differentiation |
| Fall 2003 | Quiz 9 | Applications of Differentiation (Velocity, Related Rates) |
| Fall 2001 | Quiz 10 | Applications of Calculus to Graphing |
| Fall 2003 | Quiz 10 | Applications of Differentiation (Velocity, Acceleration), Antiderivatives |
| Spring 2006 | Quiz 11 | Applications of Differentiation (Optimization, Shapes of Graphs) |
| Fall 2005 | Quiz 14 | Applications of Differentiation (Related Rates and Shapes of Graphs) |
| Fall 2005 | Quiz 11 | Basic Antidifferentiation |
| Fall 2003 | Quiz 11 | Integration, Area |
| Fall 2005 | Quiz 12 | Integration Concepts, the Fundamental Theorem of Calculus |
| Spring 2006 | Quiz 12 | Integration Concepts, Basic Integration and Integration via Substitution |
| Fall 2003 | Quiz 12 | Integration (includes using substitution) |
| Fall 2005 | Quiz 13 | Integration (includes using substitution) |
| Fall 2003 | Quiz 13 | Integration (using substitution), Area Between Curves |
| Fall 2003 | Quiz 14 | Mean Value Theorem, l'Hospital's Rule |
| Semester | Test | Topics Covered |
| Fall 2000 | Test 1 | Review Material, Limits (including infinite limits and limits at infinity) |
| Fall 2001 | Test 1 | Review Material, Limits (including infinite limits and limits at infinity) |
| Fall 2003 | Test 1 | Limits, Definition of the Derivative |
| Fall 2005 | Test 1 | Limits, Definition of the Derivative, Derivatives of Polynomials and Exponential Functions |
| Spring 2006 | Test 1 | Limits, Definition of the Derivative |
| Fall 2000 | Test 2 | Differentiation, Implicit Differentiation, Related Rates |
| Fall 2001 | Test 2 | Differentiation, Implicit Differentiation, Related Rates |
| Fall 2002 | Test 2 | Mostly Differentiation and its Applications |
| Fall 2005 | Test 2 | Differentiation Rules, Indeterminate forms and l'Hospital's Rule, Antiderivatives, Basic Concepts of Integration including Integration via Substitution |
| Spring 2006 | Test 2 | Differentiation Rules, Indeterminate forms and l'Hospital's Rule, Antiderivatives, Basic Concepts of Integration including Integration via Substitution |
| Fall 2003 | Test 3 | Mostly Integration |