|
This is a list of lecture topics and homework problems due on Monday
of the week after the lectures.
The text is the fourth edition of Rogawski's Calculus Early Transcendentals, W.H.Freeman, 2019, ISBN 978-1319323394. |
| Syllabus and textbook homework problems for 640:251 | |||
|---|---|---|---|
| Lecture | Topic(s) and text sections | Problems | Due Date |
| 1 (1/21) | 12.1 Vectors in the Plane 12.2 Vectors in Three Dimensions |
12.1: 5, 9, 11, 15, 21, 40, 47 12.2: 11, 13, 19, 25, 27, 31, 51 |
1/27/20 |
| 2 (1/24) | 12.3 Dot Product and the Angle Between Two
Vectors 12.4 The Cross Product |
12.3: 1, 13, 21, 29, 31, 52, 57, 63 12.4: 1, 5, 13, 20, 25, 26, 43, 44 |
1/27/20 |
| 3 (1/28) | 12.5 Planes in Three-Space | 12.5: 1, 9, 11, 15, 25, 31, 53 | 2/03/20 |
| 4 (1/31) | 13.1 Vector-Valued Functions 13.2 Calculus of Vector-Valued Functions |
13.1: 5, 13, 15, 18 13.2: 4, 14, 30, 31, 33, 41, 49 |
2/03/20 |
| 5 (2/4) | 13.3 Arc Length and Speed 13.4 Curvature 13.5 Motion in Three-Space |
13.3: 3, 9, 13, 14 13.4: 1, 7, 17, 21 13.5: 3, 6, 32 |
2/10/20 |
| 6 (2/7) | 14.1 Functions of Two or More Variables 14.2 Limits and Continuity in Several Variables |
14.1: 7, 20, 23, 27, 36, 40 14.2: 5, 15, 27, 35 |
2/10/20 |
| 7 (2/11) | 14.3 Partial Derivatives 14.4 Differentiability, Linear Approximation and Tangent Planes |
14.3: 3, 19, 21, 39, 47, 50, 53 14.4: 3, 4, 7, 15, 27, 33 | 2/17/20 |
| 8 (2/14) | 14.5 The Gradient and Directional Derivatives | 14.5: 7, 13, 27, 31, 33, 37, 39, 43 | 2/17/20 |
| 9 (2/18) | 14.6 The Chain Rule | 14.6: 1, 5, 7, 17, 20, 23, 27, 30 | 2/24/20 |
| 10 (2/21) | 14.7 Optimization in Several Variables | 14.7: 1, 3, 7, 17, 19, 24, 25, 27, 29 | 2/24/20 |
| 11 (2/25) | 14.8 Lagrange Multipliers: Optimizing with a Constraint | 14.8: 2, 7, 11, 13, 15 | 3/2/20 |
| 12 (2/28) | Exam 1 (covering listed sections numbered 14.5 and below) | ||
| 13 (3/3) | 15.1 Integration in Several Variables | 15.1: 10, 15, 23, 25, 33, 37, 44 | 3/9/20 |
| 14 (3/6) | 15.2 Double Integrals over More General Regions | 15.2: 3, 5, 11, 25, 32, 37, 43, 45, 49, 59 | 3/9/20 |
| 15 (3/10) | 15.3 Triple Integrals | 15.3: 3, 5, 11, 15, 17, 25, 33 | 3/23/20 |
| 16 (3/13) | Classes canceled by University | ||
| 17 (3/24) | 12.7, 15.4 Integration in Polar, Cylindrical, and Spherical Coordinates | 12.7: 1, 5, 23, 31, 41, 43, 48, 53 15.4: 1, 5, 9, 19, 23, 27, 31, 37, 39, 42, 47, 51, 59 | 3/30/20 |
| 18 (3/27) | 15.6 Change of Variables | 15.6: 1, 5, 14, 15, 21, 29, 33, 37 | 3/30/20 |
| 19 (3/31) | 16.1 Vector Fields | 16.1: 1, 3, 10, 17, 23, 27 | 4/6/20 |
| 20 (4/3) | 16.2 Line Integrals | 16.2: 3, 9, 13, 21, 27, 35, 39, 40 | 4/6/20 |
| 21 (4/7) | 16.3 Conservative Vector Fields(Exam 2A online 4/9) | 16.3: 1, 5, 9, 13, 17, 19, 21 | 4/13/20 |
| 22 (4/10) | More on vector fields | ||
| 23 (4/14) | 16.4 Parameterized Surfaces and Surface Integrals | 16.4: 1, 5, 8, 11, 19, 21, 37 | 4/20/20 |
| 24 (4/17) | 16.5 Surface Integrals of Vector Fields | 16.5: 1, 6, 9, 12, 15, 17, 23 | 4/20/20 |
| 25 (4/21) | 17.1 Green's Theorem (Exam 2B online 4/23) | 17.1: 1, 3, 6, 9, 12, 23, 27 | 4/27/20 |
| 26 (4/24) | 17.2 Stokes' Theorem | 17.2: 1, 5, 9, 11, 19, 23 | 4/27/20 |
| 27 (4/28) | 17.3 Divergence Theorem | 17.3: 1, 5, 7, 11, 14, 15, 18 | 5/4/20 |
| 28 (5/1 ) | Catch up & review; possible discussion of some applications of vector analysis. | ||
Computer labs and workshops.
There are 5 Labs in all. The first 2 were turned in before spring
break. The third was submitted electronically on 3/23/30.
Lab 4 will be due the date of lecture 24, Lab 5 due the date of lecture
27. They will be submitted as assignments in the Canvas site
MULTIVARIABLE CALC 01:640:251:08,09,10
Quadratic surfaces
The syllabus omits section 12.6, A Survey of Quadratic Surfaces. The
ideas concerning quadratic surfaces are actually addressed in the
third Maple lab, and certainly some
knowledge of quadratic surfaces is useful when considering the graphs
of functions of several variables and studying critical
points. Although this section is formally omitted, appropriate
examples and terminology should be introduced early in the course.