This resources contains assessments that are aligned to the OpenStax Calculus Volume 3 textbook which focuses on multivariable calculus.
The assessments are:
- Four Chapter Tests that are aligned to specific chapters of the OpenStax textbook.
- 27 Quizzes that are aligned to specific sections of the OpenStax textbook.
- One Final Exam
All of the assessments are in QTI format so they can be imported to platforms that support that format.
Most questions in the tests have explanations and alternate versions that are in question banks.
These assessments have been used to give students additional practice to learn multivariable calculus.
All questions are open for public use.
Quiz questions use a mix of true/false, multiple choice, and numeric responses.
Test 1 has 16 questions and looks at Chapters 2 and 3, covering the following topics:
- Dot products, cross products, and projections
- Equations for lines, planes, and curves
- Parametric representations of vector-valued functions
- Tangent/normal vectors, arc length, and curvature
Test 2 has 14 questions and looks at Chapter 4, covering the following topics:
- Partial derivatives
- Tangent planes and linear approximations
- Critical points and Lagrange multipliers
- Gradients and directional derivatives
Test 3 has 15 questions and looks at Chapter 5, covering the following topics:
- Double integrals (in Cartesian and polar coordinates)
- Triple integrals (in Cartesian, cylindrical, and spherical coordinates)
- Order of integration
- Change of variables using the Jacobian
Test 4 has 13 questions and looks at Chapter 6, covering the following topics:
- Line integrals and vector fields
- Green's Theorem
- Conservative vector fields and potential functions
- Stokes' Theorem, Divergence Theorem
The final exam incorporates questions from all of the above topics.
Each assessment uses question banks. In total, there are 552 questions in the question banks.
Many student assistants contributed to developing the resources in this site. Many thanks to:
- Sophie Andersen
- Neil Dave
- Paulo Carey
- Claire Haskell
- Melissa Leng
- Selin Osman
- Kimberly Tsung
