All ISU undergraduate students are invited to participate in the Problem of the Week Contest.
| MONTH or WEEK | DAY | Topic, Event | Section; Homework Problems | Teams; Assigned Problems |
|---|---|---|---|---|
| JANUARY | ||||
| Chapter 13: Geometry in the Plane, Vectors | ||||
| Chapter 14: Geometry in Space, Vectors | ||||
| WEEK 1 | 8-12 January | |||
| Mon 8 | Course Introduction Policies, Syllabus, Objectives: [PostScript] [Acrobat] | |||
| Plane Curves: Parametric Representation | §13.1 #1-6,9-13,17,21,22,31, #32,35-37,46,58,61,63-64 | |||
| Tue 9 | ... Plane Curves, continued | |||
| Thu 11 | Vectors in the Plane: Geometric | §13.2 #1-4,7-10,12,13,17,18 | ||
| Fri 12 | Quiz 1 Thru §13.1 | |||
| WEEK 2 | 15-19 January | |||
| Mon 15 | Martin Luther King Day Holiday No class meeting | |||
| Tue 16 | Vectors in the Plane, Algebraic | §13.3 #1,3,5-10,13-15, 19,22,23,30,31 | ||
| Thu 18 | Cartesian Coordinates in Three-Space | §14.1 #1,3-8,12,13-15, 17-21,27,28,30 | ||
| Fri 19 | Vectors in Three-Space Quiz 2 Thru §13.3 Assigned Problems due (see right-hand column) Team Assignments | §14.2 #1,3,4,6-9,11,12,16,17, 21,23,25,27,28,33,41 |
| |
| WEEK 3 | 22-26 January | |||
| Mon 22 | The Cross Product | §14.3 #1,3-8,11,13-18,20-22,31 | ||
| Tue 23 | Lines and Curves in Three-Space | §14.4 #1-10,13-16,23,24,26,27 | ||
| Thu 25 | Vector-valued Functions, Curvilinear Motion | §13.4 #1-3,9-14,16,17,19 #23-25,31,32,35,41,42 | ||
| Fri 26 | Differentiable plane curves, continued Quiz 3 Thru §14.3. Assigned Problems due (see right-hand column) |
| ||
| WEEK 4 | 29 January - 2 February | |||
| Mon 29 | Curvature and Acceleration | §13.5 #1-4,12,13,15-17 #29,30,32,35,36,47,48,51 | ||
| Tue 30 | ||||
| FEBRUARY | ||||
| Thu 1 | Velocity, Acceleration and Curvature | §14.5 #1-5,11,14,15,17,20,21,25,27, 28,35,36,43,46,53,55,58-60 | ||
| Fri 2 | Quiz 4 §§14.4, 13.4-5. Assigned Problems due (see right-hand column) |
| ||
| WEEK 5 | 5-9 February | |||
| Mon 5 | Surfaces in Three-Space | §14.6 #1-13,20,21,23,25,27,29 | ||
| Tue 6 | Cylindrical and Spherical Coordinates | §14.7 #1-12,15,17-21,35,36,40 | ||
| Thu 8 | ||||
| Chapter 15: The Derivative in n-Space | ||||
| Fri 9 | Functions of Two or More Variables Quiz 5 thru §14.6 Assigned Problems due (see right-hand column) | §15.1 #1,5,7-13,17-19, #23,25-27,33,39 |
| |
| WEEK 6 | 12-16 February | |||
| Mon 12 | Partial Derivatives | §15.2 #1-4,8-10,12,13,17,19, #24,29,33,47,49 | ||
| Tue 13 | Limits and Continuity | §15.3 #1-6,9-12,15,16,19,21,22,32,37 | ||
| Thu 15 | Differentiability | §15.4 #1-5,9,11-17,19-22 | ||
| Fri 16 | Quiz 6 Thru §15.2 |
| ||
| WEEK 7 | 19-23 February | |||
| Mon 19 | Directional Derivatives and Gradients | §15.5 #1-5,9-13,15-17,19,20,26 | ||
| Tue 20 | Directional Derivatives and Gradients | |||
| Thu 22 | The Chain Rule | §15.6 #1-4,7-10,13,14,20-22,24 | ||
| Fri 23 | Quiz 7 Thru §15.5 | No Assigned Problems this week. | ||
| WEEK 8 | 26 February - 2 March | |||
| Mon 26 | Tangent Planes, Approximations | §15.7 #1-5,9-15,18,20,24,29 | ||
| Tue 27 | Maxima and Minima | §15.8 #1-9,11,14-17,20,21,23,28,29 | ||
| MARCH | ||||
| Thu 1 | Lagrange's Method | §15.9 #1,2,7-13,15 | ||
| Fri 2 | Quiz 8 Thru §15.7 Assigned Problems Due |
| ||
| WEEK 9 | 5-9 March | |||
| Chapter 16: The Integral in n-Space | ||||
| Mon 5 | ||||
| Tue 6 | Double Integrals over Rectangles | §16.1 #1-6,9-11,15,19,23 | ||
| Thu 8 | Iterated Integrals | §16.2 #1-9,13-18,21-23,25,26,29 | ||
| Fri 9 | Double Integrals over Nonrectangular Regions Quiz 9 Thru Chapter 15. | §16.3 #1-8,13-16, #19-22,27,28,31,32,35,39 |
| |
| SPRING RECESS 12 - 16 MARCH | ||||
| WEEK 10 | 19-23 March | |||
| Mon 19 | Double Integrals in Polar Coordinates | §16.4 #1-8,11-15,19,29,30 | ||
| Tue 20 | Applications of Double Integrals | §16.5 #1-5,9-13,16,17 | ||
| Thu 22 | Surface Area | §16.6 #1-6,9,13,16,21,22 | ||
| Fri 23 | Quiz 10 Thru §16.3 |
| ||
| WEEK 11 | 26-30 March | |||
| Mon 26 | Triple Integrals (Cartesian Coordinates) | §16.7 #1-5,9-13,15,17,19,21,25,27,31 | #14,24,28 | |
| Tue 27 | Triple Integrals, continued | |||
| Thu 29 | Triple Integrals (Cylindrical and Spherical Coordinates) | §16.8 #1-5,7,9,13,15,22-24 | #6,8,16 | |
| Fri 30 | Quiz 11 Thru §16.6 |
| ||
| APRIL | ||||
| WEEK 12 | 2-6 April | |||
| Chapter 17: Vector Calculus | ||||
| Mon 2 | Vector Fields | §17.1 #1,2,7,8,13-16,19-21,22,25 Review: §16.4 #18, §16.5 #16, §16.6 #12 | ||
| Tue 3 | Line Integrals | §17.2 #1-3,7,9,11-14,17,19-21,25,30 | ||
| Thu 5 | Independence of Path | §17.3 #1-5,9-12,15,16,18,21,23 | ||
| Fri 6 | Quiz 12 Thru Chapter 16 |
| ||
| WEEK 13 | 9-13 April | |||
| Mon 9 | Green's Theorem in the Plane | §17.4 #1-3,5,7-11,15-18 | ||
| Thu 12 | Surface Integrals | §17.5 #1-4,7,9,11-16 | ||
| Fri 13 | Quiz 13 Thru §17.3 | |||
| WEEK 14 | 16-20 April | |||
| Mon 16 | Gauss's Divergence Theorem | §17.6 #1-5,9,11,12,15,16(a)-(c) | ||
| Thu 19 | Stokes's Theorem | §17.7 #1-5,7-10,19 | ||
| Fri 20 | Quiz 14 Thru §17.5 |
| ||
| WEEK 15 | 23-27 April | |||
| Mon 23 | REVIEW Vector Calculus. | Ch. 17 Sample Test Problems p. 769 #2,4(a),6,10,13-15 | ||
| Tue 24 | REVIEW Vectors, linear geometry, quadric surfaces, differentiable curves. | Ch. 13 Sample Test Problems p. 591 #4,6,10(a) Ch. 14 Sample Test Problems pp. 628-9 #2,8,14,20,32,34,36 | ||
| Thu 26 | REVIEW Gradient, tangent plane, directional derivative, linearization, multivariable optimization. | Ch. 15 Sample Test Problems p. 682 #2,14,20,24,26,28 | ||
| Fri 27 | REVIEW Multiple integrals. Quiz 15 Thru Chapter 17 | Ch. 16 Sample Test Problems pp. 727-8 #4,8,12,16(b),20 |
| |
| FINAL EXAMS | 30 April - 4 May | |||
| Mon 30 | FINAL EXAM tests the Objectives for Calculus 3: [PostScript] [Acrobat] 4:30 - 6:30 PM | |||
| MAY | ||||