Go to Study Guide for Exam 2
Go to Study Guide for Final Exam

The first exam covers material from sections 11.1-11.6, and 12.1-12.5. Excluded:

Area of a parallelogram and volume of a parallelepiped (11.4)
Sketching quadric surfaces - but sketches of spheres and planes may still be asked (11.6)
Surface of Revolution (11.6)
Sketching space curves (12.1)
Radius of Curvature (12.5)

Tangential and normal components of acceleration (p875)
Curvature (p875)
Distance between point, lines and planes (pp803-4)

The test material will be from the following categories:

1. 3D Cartesian Coordinate System: Spheres, Distance
2. Vectors: Sum/Difference/Scalar Multiplication (incl. geometric version), Length, Standard Unit Vectors, General Properties, Unit Vectors, Writing vector given magnitude and direction
3. Dot Product and Cross Product: Definitions, Geometric Interpretation, Properties, Orthogonality, Projection, Work
4. Lines and Planes: Equations (incl both parametric/symmetric lines), Parallel/Intersecting/Skew Lines, Parallel/Angle of Intersecting Planes, Intersection of two planes, Distance between point, lines and planes (formulas given)
5. Surfaces: 6 Basic Forms
6. Vector Functions: Space Curves and Tangent Lines, Derivatives, Properties, Integrals, Limits and Continuity
7. Position/Velocity/Acceleration: Newton's 2nd Law (F=ma); Find velocity, speed and acceleration, Find position given accleration (including but not limited to projectile problems); Sketch velocity/accleration vectors; Tangential and Normal components of acceleration (general formulas would be given)
8. Curvature, Unit Tangent, Principle Unit Normal: formulas for curvature given
9. Arc Length: for space curves

The problems will be of a similar type to the homework, problem sets and examples from lecture. One problem will be a short proof of a property from p765, p781 or p791(excluding Property 6).

There will be approximately 8-9 problems on the test, some with multiple parts. I will provide the paper and any additional scratch sheets you may need. You may bring a calculator, but may not need it. Scientific or graphing calculators (similar to TI-83/84) are permitted, but ones that can do symbolic derivatives/integrals (e.g., TI-89) are not.