can be kept in that form.
Here are excerpts from a guide for a former Midterm which applies quite well to our first quiz:
1. Trigonometry basics: Be able to plot sine and cosine reasonably accurately from -2π to +2π. Know conversions between radians and degrees for 45°, 90°, etc. Know the values of the sine and cosine of the most common angles, including π/4 and by extension, angles such as 5π/4.
2. 2x2 transformations: Be able to correctly write out a rotation matrix and scaling matrix.
3. Computations with 2D vectors and 2x2 matrices: Be able to
add vectors, multiply matrices together, in the correct order, and transform
vectors with matrices. All these computations are to be done manually with
numerical answers. Items such as
can be kept in that form.
4. Homogeneous coordinates. Be able to write down a scaling, rotation or translation matrix in 3x3 homogeneous coordinate form for 2D.
5. Compound matrix manipulations using homogeneous coordinates. Be able to show various relations and identities, such matrix multiplication that shows that a translation of -10,20 is the inverse of 10,-20.
6. Transformations that produce a given effect. Given two different positions and orientations of an object, figure out what simple matrix or simple product of matrices will produce one from the other.
Here's a question from a previous year: This question involves only 2x2 matrices, not ones using homogeneous coordinates.