Competencies for Tests and the Final Exam

Test #1 Competencies

0) Special Angles ink at http://faculty.valenciacc.edu/pfernandez/1114/Barnett/PracticeBarnett.htm)

1) Distance and midpoint formulas (1,5p610,notes)

2) Equation of a sphere (8p610,notes)

3) Domain of functions of two variables (notes)

4) Contour diagrams (17p626)

5) Linear functions from tables and contour diagrams (17,19p633)

6) Graphs of linear functions in the first quadrant (21p633)

7) Catalog of Functions (p636)

8) Level surfaces (11,21,23p638)

9) Limits by approaching different paths (19 p642, notes)

10) Applications using vectors (13,15p663)

11) parallel and perpendicular projections (21p671, notes)

12) Unit tangent and normal vectors to a curve (notes)

13) Dot and cross products (29p671,19p678)

14) Equations of planes (23,25p671,21p678)

15) Distance from a point to a line and a point to a plane (notes)

Test #2 Competencies

1) Approximate partial derivatives from tables and contour diagrams (1p686,15ap691, Notes)

2) Finding partial derivatives algebraically (33,35p695)

3) Implicit partial differentiation (Notes).

4) Tangent plane and normal vector (17,19 p717, Notes)

5) Linearization of functions of two variables (13p702,Notes)

6) Differentials and Applications of Differentials (5,9p702,Notes)

7) Chain Rule (3,7p725, Notes)

8) Gradients and directional derivatives (37p710; 53,55,59p711; 23,25p717; 31p718)

9) Higher order Derivatives (7p732)

10) Quadratic Taylor polynomial (14,15p732)

Test #3 Competencies

1) Classifying critical points (7p754,29p755)

2) Optimization (25p763, Notes)

3) Approximating double integrals using tables and contour diagrams (1p789, Notes)

4) Double integrals ( 37,39p797, Notes)

5) Triple integrals (23p801,51p802)

6) Integrals in Polar coordinates (13,19p806)

7) Integrals in Cylindrical and Spherical coordinates (19,29,33p814, Extra problems Notes)

8) Equation of lines (9p837, 47p838)

9) Parameterized curves (eg. 10,11,19,23,27,28 Notes)

Test #4 Competencies

Sec 18.1: 11,15 ; Sec 18.2:  5,7,9,15; Sec 18.3: 11,13,15; Sec 18.4: 1,5,9,11,17

Line integrals worksheets 1,2,3

Final Exam Competencies

1) Linear functions from tables and contour diagrams (17,19p633)

2) Limits by approaching different paths (19 p642, notes)

3) parallel and perpendicular projections (21p671, notes)

4) Equations of planes (23,25p671)

5) Distance from a point to a line and a point to a plane (notes)

6) Gradients and directional derivatives (37p710, 53,55,59p711, 23,25p717)

7) Tangent plane and normal vector (17,19 p717)

8) Implicit differentiation (notes)

9) Classifying critical points (7p754,29p755)

10) Optimization (25p763)

11) Double integrals ( 37,39p797)

12) Triple integrals (23p801)

13) Integrals in Polar coordinates (13,19p806)

14) Integrals in Cylindrical and Spherical coordinates (19.29.33p814)

15) Equation of lines (9p837, notes)

16) Parameterized curves (eg. 10,11,19,23,27,28 Notes)

Sec 18.2:  5,9; Sec 18.3: 11,13,15; Sec 18.4: 9,11,17

Line integrals worksheets 1,2,3