Math 3 - Test 2 (Date yet to be determined)
Sketch graphs of cylinders and quadric surfaces. (14.1) 39-69 odd
Find the domain and range of a function of several variables. (14.2) 11-27 odd
Sketch level curves. (14.2) 31, 33, 35
Find limits and regions of continuity for functions of two variables. (14.3) 11-25 odd, 33-51 odd
Use the Two-Path Test to prove that a limit does not exist. (14.3) 27, 29, 31
Find partial derivatives. (14.4) 11-43 odd
Find derivatives using the Chain Rule. (14.5) 7-23 odd, 27, 29
Compute gradients and directional derivatives. (14.6) 9-25 odd, 55-61 odd
Find directions of steepest ascent, steepest descent, and no change. (14.6) 27, 29, 31
Find the path of steepest descent. (14.6) 54
Find equations of tangent planes. (14.7) 9-23 odd
Analyze critical points of functions of two variables. (14.8) 19-29 odd
Find absolute extrema on closed, bounded sets. (14.8) 43, 45
Solve constrained optimization problems. (14.9) 5-17 odd, 21, 23, 25, 31, 33
Math 3 - Test 1 (Thursday, February 13)
Solve problems involving spheres and balls. (13.2) 23-37 odd
Solve a crosswind problem. (13.2) 51, 52, 53
Solve problems involving dot products. (13.3) 9-23 odd
Calculate orthogonal projections. (13.3) 25-35 odd
Compute work. (13.3) 37, 39, 40
Solve problems involving cross products. (13.4) 11-27 odd, 31, 35
Find equations of lines in space. (13.5) 11-21 odd
Sketch the graph of a curve in space. (13.5) 29, 31, 67
Differentiate and integrate vector-valued functions. (13.6) 7-13 odd, 41, 43, 47-65 odd
Find tangent vectors. (13.6) 15-27 odd
Solve problems involving position, velocity, speed, and acceleration. (13.7) 7-17 odd, 25-35 odd, 41
Find the length of a curve. (13.8) 9-25 odd, 33, 37
Find the equation of a plane. (14.1) 11-19 odd, 31
Math 8 - Test 1 (Wednesday, February 12)
This test will cover Chapters 2 and 3. The problems will be similar to the following.
(2.1) 12, 14, 23, 25, 27, 40, 41
(2.2) 5, 7, 9, 16, 20, 44
(2.3) 6, 7, 8, 24-27, 41, 43
(3.1) 18
(3.2) 16, 26, 45, 47
(3.3) 11, 33, 34
(3.4) 7-10
Sketch graphs of cylinders and quadric surfaces. (14.1) 39-69 odd
Find the domain and range of a function of several variables. (14.2) 11-27 odd
Sketch level curves. (14.2) 31, 33, 35
Find limits and regions of continuity for functions of two variables. (14.3) 11-25 odd, 33-51 odd
Use the Two-Path Test to prove that a limit does not exist. (14.3) 27, 29, 31
Find partial derivatives. (14.4) 11-43 odd
Find derivatives using the Chain Rule. (14.5) 7-23 odd, 27, 29
Compute gradients and directional derivatives. (14.6) 9-25 odd, 55-61 odd
Find directions of steepest ascent, steepest descent, and no change. (14.6) 27, 29, 31
Find the path of steepest descent. (14.6) 54
Find equations of tangent planes. (14.7) 9-23 odd
Analyze critical points of functions of two variables. (14.8) 19-29 odd
Find absolute extrema on closed, bounded sets. (14.8) 43, 45
Solve constrained optimization problems. (14.9) 5-17 odd, 21, 23, 25, 31, 33
Math 3 - Test 1 (Thursday, February 13)
Solve problems involving spheres and balls. (13.2) 23-37 odd
Solve a crosswind problem. (13.2) 51, 52, 53
Solve problems involving dot products. (13.3) 9-23 odd
Calculate orthogonal projections. (13.3) 25-35 odd
Compute work. (13.3) 37, 39, 40
Solve problems involving cross products. (13.4) 11-27 odd, 31, 35
Find equations of lines in space. (13.5) 11-21 odd
Sketch the graph of a curve in space. (13.5) 29, 31, 67
Differentiate and integrate vector-valued functions. (13.6) 7-13 odd, 41, 43, 47-65 odd
Find tangent vectors. (13.6) 15-27 odd
Solve problems involving position, velocity, speed, and acceleration. (13.7) 7-17 odd, 25-35 odd, 41
Find the length of a curve. (13.8) 9-25 odd, 33, 37
Find the equation of a plane. (14.1) 11-19 odd, 31
Math 8 - Test 1 (Wednesday, February 12)
This test will cover Chapters 2 and 3. The problems will be similar to the following.
(2.1) 12, 14, 23, 25, 27, 40, 41
(2.2) 5, 7, 9, 16, 20, 44
(2.3) 6, 7, 8, 24-27, 41, 43
(3.1) 18
(3.2) 16, 26, 45, 47
(3.3) 11, 33, 34
(3.4) 7-10