MAT 107

Calculus and Analytical Geometry

Spring 2003

 

Instructor: Bruce Armbrust, phone: 541-4660 ext. 314, email: armbrust@ltcc.edu

 

Office Hours: Room A210, Mon.   10:30 - 11:30 AM

                                              Tues.  3:30 - 4:30 PM

          Thurs. 12:00 Ė 1:00 PM

GMC G4, Mon. & Wed. 9:30 - 10:30 AM

And as always, by appointment.

 

Class Time and Location: Mon., Tues., Wed., & Thurs. 8:00 - 9:05 AM, E106

 

Textbook: Calculus, 7th Edition, by Larson, Hostetler, & Edwards

 

Calculator: A graphing calculator is required for this class.  I will be demonstrating with the TI-92.  I should be able to help you individually if you have another type of calculator.

 

Course Description: This course is a continuation of MAT 106.  It covers sequences and series, Taylor polynomials, polar coordinates, and differentiation and integration of multivariate functions.

 

Prerequisite: A grade of C or better in MAT 106 or equivalent.

 

Course Objectives:

The successful student will:

1)      exhibit a proficiency in the topics covered in the course;

2)      engage in logical and critical thinking;

3)      read technical information; and

4)      demonstrate the solution to problems by translating written language into mathematical statements, interpreting information, sketching relevant diagrams, analyzing given information, formulating appropriate mathematical statements, and checking and verifying results.

 

Course Grade: Your final letter grade will be based on the usual grading scale:

A 90-100%, B 80-89%, C 70-79%, D 60-69%, F 0-59%

The following items will make up the course grade:

Homework:                              100 points

Quizzes:                                 150 points

Exam1 (April 26)

Exam2 (May 17):                  450 points

Exam3 (June 7)

Final Exam (June 21):                    300 points

 

You may check your grades at any point in the quarter by going to the following website:          

 

http://www.gradesource.com/reports/1027/5405/index.html


 

Homework: Homework will be due by 2PM the day after it is assigned.  Homework not turned in at this time will be considered late. You may turn in homework up to one week after it is assigned for half credit.  If all homework is turned in, and no more than three are late, the lowest regular exam score will be dropped. 

 

Quizzes: There will be seven quizzes given over the quarter.  They will occur every Monday we donít have an exam scheduled (and Tuesday, June 1). These quizzes will be designed to help prepare you for the exams, and quiz problems will be taken directly from the homework assignments of the previous week.  Your lowest quiz score will be dropped.  Since your lowest score will be dropped, missed quizzes may not be made up.

 

Exams: All exams will be given in two sections: one portion will allow calculators while the other will not.  If you cannot make it to an exam (final not included), you may take it up to 2 school days prior to the scheduled date with proper arrangements.  Otherwise, the exam may be made up after the scheduled date with a penalty of 10% per day.

 

Registration Information: You must register for this class at the Office of Admissions and Records.  You may drop the class with no penalty or mark on your record on or before April 30.  After April 30, you may drop the class and receive a grade of W until June 4.  After June 4, if still enrolled, you will receive a grade of A, B, C, D, F or I.

 

How to Succeed in a Math Class: I am often asked how to successfully pass a math class, and here is my advice:

 

I) Come to every class session.  Be prepared, and plan on participating.

II) Do your homework.  Remember that what I assign is what I consider a bare minimum.  If you need more practice, do it.

III) Read the book.  You paid good money for it, so you might as well use it.

IV) Make use of available tutors and my office hours.  You will find tutors who know the subject matter in this course at the GMC.

V) Do math every day.  Math is just like everything else: if you donít practice, you become rusty.

 

Learning Disabled Students: It is important that students who are identified as being learning disabled speak to me about their special needs.  I am more than willing to grant you reasonable accommodations.

 

Academic Dishonesty: Academic dishonesty of any form will not be tolerated.  Students caught cheating on exams or quizzes will receive a score of zero on the assignment for the first offense and a course grade of F for the second offense.  Students may work together on homework assignments (and, in fact, are encouraged to) as long as all students understand the material covered.

 


 

Course Schedule:

The following is a tentative schedule.  If things change, I will let you know.

 

April

5          8.1                               Sequences

6          8.2                               Series and Convergence

7          8.3                               Integral Test and p-Series

8          8.4                               Comparison Test

12        8.5                               Quiz I, Alternating Series

13        8.6                               Ratio and Root Tests

14        8.7                               Taylor Polynomials

15                                            Flex Day      (Did you remember to file your taxes?)

19        8.8                               Quiz II, Power Series

20        8.9                               Representing Functions with Power Series

21        8.10                             Taylor and Maclaurin Series

22        9.1                               Conic Sections

26                                            Exam I

27                                            Go Over Exam I

28        9.2                               Parametric Equations

29        9.3                               Calculus and Parametric Equations

May

3          9.4                               Quiz III, Polar Equations

4                                              Flex Day                 

5          9.5                               Calculus and Polar Equations

6          10.1                             Vectors in the Plane

10        10.2                             Quiz IV, Vectors in Space

11        10.3                             Dot Products

12        10.4                             Cross Products

13        10.5                             Lines and Planes in Space 

17                                            Exam II

18                                            Go Over Exam II

19        10.6                             Surfaces in Space

20                                            Flex Day

24        10.7                             Quiz V, Cylindrical and Spherical Coordinates

25        12.1                             Multivariable Functions

26        12.2                             Limits and Continuity

27        12.3                             Partial Derivatives

31        NO CLASS                        MEMORIAL DAY

June

1          12.4                             Quiz VI, Differentials

2          12.5                             Chain Rules

3          12.6                             Directional Derivatives and Gradients

7                                              Exam III

8                                              Go Over Exam III

9          12.7                             Tangent Planes and Normal Lines

10        12.8                             Extrema for Functions of Two Variables

14                                            Quiz VII, Flex Day

15        12.9                             Applications of Extrema

16        12.10                           Lagrange Multipliers

17                                            Review

21        Final Exam               Note: The final is from 8:00 - 10:00 AM

The following is a list of all homework assignments for this course.  The due dates for the various sections will be given in class.

 

Section

Assignment

8.1

6,7,9,12,51,54,57,60,71,74,76,79,111,113-116

8.2

3-6,21,22,33-36,43-46,52,53,55,56,58,61,62,67,68,75,82,84,97,99-102

8.3

4,7-9,15,18-20,29,30,35,55-62

8.4

7-12,22-27,29-36,49-52,55-59

8.5

15-17,22,23,28,30,31,36,37,47-54,62,63,67,68

8.6

13,19,20,26,27,32,39-43,45,46,53-55,58,60

8.7

1-4,16,20,21,23,28,29,37,40,42,43,61,62

8.8

8,9,13,16,22,25,28,33,35,36,48,51,59-62

8.9

8,9,12,13,19-22,39-41,52-55

8.10

1,3,6,8,9,15,16,26,27,37-40,69,70

9.1

13,18,28,32,37,44,47,52,61,71-74,90,105,106,110-112,120,123-129

9.2

6,9,11,14,15,18,33,34,51,54,71,73,74,76

9.3

7,8,11,12,21,22,27,28,32,33,36,37,52,53,67,68,77,78

9.4

2,5,13,14,25-28,33-36,53,54,59,62,69-72,113-116

9.5

6,7,10,11,15,16,20,21,27,32,42,43,52,53,63,64

10.1

7,8,27,28,33-36,38,39,52,53,63,68,73,74,82,89,90,91

10.2

5,6,25-28,38,39,42,43,51-54,57,58,72,73,91,92,109

10.3

3,6,13,18,24,25,32,33,37,67,70

10.4

8,9,14,15,31,32,34,35,42,43,53-55

10.5

17-20,34,38,41,43,47,48,63,65,74,75

10.6

1-6,21,26,29,30,46-49,63

10.7

5-8,14,15,17,29-32,48,49,57-60,81-86,93-96

12.1

8,9,14,15,18,19,22-25,45-48,77,80,81,83,84,87-90

12.2

7-24,37-40,45-48

12.3

12,13,18,23,37,40,45-48,55,56,61,62,70,71,75,78,79

12.4

4-7,14,15,17,20,29,30,33,34,41-44

12.5

1,2,8,9,13,14,17-20,28,29,37-40,56,59

12.6

5,6,15-18,25-28,71,74,77-80

12.7

6,11,16,17,21,24,30,33,39,42,48,53

12.8

8,11,13,14,26,27,31-34,45-48,55,60,63,64

12.9

10,15,19,22,27,30,47,48

12.10

6,11,15,18,19,22,32,33,40,45