Assignments Mth 277, Vector Calculus


Due Dates        Syllabus

Assignment 0:  Orientation, Review and Preparation

We assume a solid and recent background in triangle trigonometry, circular trigonometry, basic vectors operations and conic sections.


Students having completed high-school analysis courses and/or college-level precalculus and calculus courses, even those who have made A's straight through these courses, generally need a review and upgrade of their skills.  There are of course exceptions. 

All these topics will be important very early in the course, in the first chapter.  It is not possible to spend course time reviewing these topics and still expect students to master the topics of this course. 

Students having completed first-year calculus courses often do not remember the rules of differentiation or the techniques of integration by substitution and integration by parts.  You cannot expect to succeed in this course if differentiation or integration of basic expressions is an obstacle to you.  If you're a little slow at the process it's not a problem.  Naturally you'll speed up with practice, and you'll become increasingly able to handle more complicated expressions.  But if you've pretty much forgotten the rules and how to apply them to basic expressions, it will distract you from the challenging subject matter of this course.

The bottom line is, most students need the review provided in this very first assignment (Assignment 0), and some students need many hours of review.  Be sure you understand these topics.  It will make the course much, much easier for you if you do.


For a review of precalculus:

The Class Notes and Problems for Precalculus II Assignments 1-12 at the page http://vhcc2.vhcc.edu/pc2fall9/frames%20pages/assignments.htm could provide a useful review, should you need one. The emphasis of these assignments is on the circular model.

Conic sections, parametric equations and polar coordinates can be reviewed at the same page http://vhcc2.vhcc.edu/pc2fall9/frames%20pages/assignments.htm in Assignments 12-16

You will likely find the following introduction from Precalculus II valuable.  It is recommended that you complete and submit these documents.  If you already know the material then you can work through them quickly.  If it takes you longer, then you need the practice.  Either way your time will be well spent:

For a review of first-semester calculus:

The page http://vhcc2.vhcc.edu/cal1fall/ is the homepage for the instructor's Calculus I course.  The Open QA's for that course would provide a good review of the basic topics covered in most first-semester classes, and should at least give you a good start on some of the topics that might not have been covered in your first-semester course. 

The coverage of topics is roughly as follows:

The open qa's for Assignments 11-12 cover the rules of differentiation.

The open qa's for Assignments 13-15 introduce applications of differentiation, tangent lines and the differential.

The open qa for Assignment 16 addresses implicit differentiation. 

The open qa's for Assignments 1-10 introduce you in a unified way to the concepts of differentiation and integration, beginning with the concept of rate of change. 

The open qa for Assignment 10 is fairly challenging and introduces the central ideas of integration in the context of finding present and future values of an investment. 

Most multivariable calculus students will benefit greatly from this refresher on standard first-semester calculus topics.  All these ideas extend into three dimensions and therefore appear in Multivariable Calculus.

A listing of the Calculus I qa's, in the order mentioned above, follows:

  • qa11 on the rules of differentiation for the basic functions
  • qa12 on the product, quotient and chain rules
  • qa13 on applications of the chain rule
  • qa14 on tangent line approximations
  • qa15 on the differential and the tangent line
  • qa16 on implicit differentiation

 

  • qa01 on the idea of rate of change
  • qa02 more about the idea of rate of change
  • qa03 graphical representation of rate of change
  • qa05 average rate of change, changing rate of change
  • qa06 finding change in quantity given rate of change information
  • qa07 rate of change functions
  • qa08 approximate depth graph constructed from rate function
  • qa09 predictor-corrector

 

  • qa10 income streams

Problem Set

 

Video Files

Symbols used in this course:

Note that symbols might not be correctly represented by your browser.  For this reason the Greek letters will be spelled out, with ` in front of the spelling.  You should substitute the appropriate symbol when making notes.

 

 

Assignment 01:  q_a_09.1, Text Section 9.1, Problem Set 9.1, query_09.1 *

Assignment 02: q_a_09.2, Text Section 9.2, Problem Set 9.2, query_09.2

Assignment 03: q_a_09.3, Text Section 9.3, Problem Set 9.3, query_09.3 *

Assignment 04: q_a_09.4, Text Section 9.4, Problem Set 9.4, query_09.4

Assignment 05: q_a_09.5, Text Section 9.5, Problem Set 9.5, query_09.5

Assignment 06: q_a_09.6, Text Section 9.6, Problem Set 9.6, query_09.6

Assignment 07: q_a_09.7, Text Section 9.7, Problem Set 9.7, query_09.7  

 

 

 

 

 

 

 

 

Assignment 08: q_a_10.1, Text Section 10.1, Problem Set 10.1, query_10.1 *

Assignment 09: q_a_10.2, Text Section 10.2, Problem Set 10.2, query_10.2

Assignment 10: q_a_10.3, Text Section 10.3, Problem Set 10.3, query_10.3 *

Assignment 11: q_a_10.4, Text Section 10.4, Problem Set 10.4, query_10.4

Assignment 12: q_a_10.5, Text Section 10.5, Problem Set 10.5, query_10.5

Chapter 10 Practice Test

 

 

 

 

 

 

Assignment 13: q_a_11.1 *, Text Section 11.1, Problem Set 11.1, query_11.1

Assignment 14: q_a_11.2, Text Section 11.2, Problem Set 11.2, query_11.2

Assignment 15: q_a_11.3 *, Text Section 11.3, Problem Set 11.3, query_11.3 *

Assignment 16: q_a_11.4, Text Section 11.4, Problem Set 11.4, query_11.4

Assignment 17: q_a_11.5, Text Section 11.5, Problem Set 11.5, query_11.5

Assignment 18: q_a_11.6, Text Section 11.6, Problem Set 11.6, query_11.6

Assignment 19: q_a_11.7, Text Section 11.7, Problem Set 11.7, query_11.7  

Assignment 20:  Text Section 11.8, Problem Set 11.8

Chapter 11 Practice Test

 

 

 

 

 

 

 

 

 

 

Assignment 21: q_a_12.1, Text Section 12.1, Problem Set 12.1, query_12.1

Assignment 22: q_a_12.2, Text Section 12.2, Problem Set 12.2, query_12.2

Assignment 23: q_a_12.3, Text Section 12.3, Problem Set 12.3, query_12.3

Assignment 24: q_a_12.4, Text Section 12.4, Problem Set 12.4, query_12.4

Assignment 25: q_a_12.5, Text Section 12.5, Problem Set 12.5, query_12.5

Assignment 26: q_a_12.6, Text Section 12.6, Problem Set 12.6, query_12.6

Assignment 27: q_a_12.7, Text Section 12.7, Problem Set 12.7, query_12.7

Assignment 28: q_a_12.8, Text Section 12.8, Problem Set 12.8, query_12.8

Chapter 12 Practice Test

 

 

 

 

 

 

 

 

 

Assignment 29: query_13.1, Text Section 13.1, Problem Set 13.1

Assignment 30: q_a_13.2, Text Section 13.2, Problem Set 13.2, query_13.2  

Assignment 31: q_a_13.3, Text Section 13.3, Problem Set 13.3, query_13.3  

Assignment 32: q_a_13.4, Text Section 13.4, Problem Set 13.4, query_13.4   

Assignment 33:q_a_13.5 , Text Section 13.5, Problem Set 13.5, query_13.5   

Assignment 34: Text Section 13.6, Problem Set 13.6, query_13.6   

Assignment 35: Text Section 13.7, Problem Set 13.7, query_13.7

Chapter 13 Practice Test

 

 

 

 

 

 

 

   

 

 

Multivariable Calculus Assignments

Assignment 1:  Text section 9.1 and Problem Assignments for Section 9.1

Assignment 2:  Text section 9.2 and Problem Assignments for Section 9.2

Assignment 3:  Text section 9.3 and Problem Assignments for Section 9.3

Assignment 4:  Text section 9.4 and Problem Assignments for Section 9.4

Assignment 5:  Text section 9.5 and Problem Assignments for Section 9.5

Assignment 6:  Text section 9.6 and Problem Assignments for Section 9.6

Assignment 7:  Text section 9.7 and Problem Assignments for Section 9.7

Assignment 8:  Text section 10.1 and Problem Assignments for Section 10.1

Assignment 9:  Text section 10.2 and Problem Assignments for Section 10.2

Assignment 10:  Text section 10.3 and Problem Assignments for Section 10.3

Assignment 11:  Text section 10.4 and Problem Assignments for Section 10.4

Assignment 12:  Text section 10.5 and Problem Assignments for Section 10.5

Assignment 13:  Text section 11.1 and Problem Assignments for Section 11.1

Assignment 14:  Text section 11.2 and Problem Assignments for Section 11.2

Assignment 15:  Text section 11.3 and Problem Assignments for Section 11.3

Assignment 16:  Text section 11.4 and Problem Assignments for Section 11.4

Assignment 17:  Text section 11.5 and Problem Assignments for Section 11.5

Assignment 18:  Text section 11.6 and Problem Assignments for Section 11.6

Assignment 19:  Text section 11.7 and Problem Assignments for Section 11.7

Assignment 20:  Text section 11.8 and Problem Assignments for Section 11.8

Assignment 21:  Text section 12.1 and Problem Assignments for Section 12.1

Assignment 22:  Text section 12.2 and Problem Assignments for Section 12.2

Assignment 23:  Text section 12.3 and Problem Assignments for Section 12.3

Assignment 24:  Text section 12.4 and Problem Assignments for Section 12.4

Assignment 25:  Text section 12.5 and Problem Assignments for Section 12.5

Assignment 26:  Text section 12.6 and Problem Assignments for Section 12.6

Assignment 27:  Text section 12.7 and Problem Assignments for Section 12.7

Assignment 28:  Text section 12.8 and Problem Assignments for Section 12.8

Assignment 29:  Text section 13.1 and Problem Assignments for Section 13.1

Assignment 30:  Text section 13.2 and Problem Assignments for Section 13.2

Assignment 31:  Text section 13.3 and Problem Assignments for Section 13.3

Assignment 32:  Text section 13.4 and Problem Assignments for Section 13.4

Assignment 33:  Text section 13.5 and Problem Assignments for Section 13.5

Assignment 34:  Text section 13.6 and Problem Assignments for Section 13.6

Assignment 35:  Text section 13.7 and Problem Assignments for Section 13.7