MAT 107

Calculus and Analytical Geometry

Spring 2008

 

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

 

Office Hours: Room A210,   Mon.    9:30  – 10:30 AM

                                                Mon.    11:30 AM – 12:30 PM

Thurs.  12:00 – 1:00 PM

MSC A201,      Tues.    1:00 – 2:00 PM

Wed.    10:00 – 11:00 AM

And as always, by appointment.

 

Class Time and Location: Mon., Wed., & Fri. 8:00 - 9:25 AM, E106

 

Textbook: Calculus, 8th Edition, by Larson, Hostetler, & Edwards

 

Calculator: A graphing calculator is required for this class.  I will be demonstrating with the TI-89.  I should be able to help you individually if you have another type of calculator, but I offer no promises...

 

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.

 

Student Learning Outcomes:

1. Test series for convergence.
2. Relate analytic functions to their power series.
3. Apply calculus to functions of several variables.
4. Model real life applications using three-dimensional constructs.
5. Perform arithmetic on vectors using both component and geometric forms.

 

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:                                          150 points

Quizzes:                                             150 points

Poster Project (June 3):                      100 points

Exam1 (April 28)

Exam2 (May 19):                                 350 points

Exam3 (June 9)

Cumulative Final Exam (June 23):     250 points

 

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

http://www.gradesource.com/reports/1027/13792/index.html


 

Homework: Homework will be due by 2PM the class 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 due 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 six quizzes given over the quarter.  They will occur every Monday we don’t have an exam scheduled.  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.

 

Poster Project: Our class will join with the 2nd year calculus class as well as the calculus based physics class in the creation of posters demonstrating the use of calculus & physics in every day life.  The requirements and due dates for the project will be provided at a later point.  Poster presentations will be held from 12-2 pm on June 3rd.

 

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 May 2.  After May 2, you may drop the class and receive a grade of W until May 23.  After May 23, 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 MSC.

V) Do math every day.  Math is just like everything else: if you don’t practice, you become rusty.

 

Learning Disabled Students: Students with disabilities who may need accommodations for this class are encouraged to notify me and contact the Disability Resource Center (DRC) early in the quarter so that reasonable accommodations may be implemented as soon as possible.  Students may contact the DRC by visiting the Center (located in room A205) or by phoning 541-4660, ext. 249 (voice) or 542-1870 (TTY for deaf students).  All information will remain confidential.

 

Technology in the Classroom:  All cell phones, headphones, MP3 players, iPods, etc, must be turned off and put away prior to the start of each class.  No electronic devices (other than calculators) may be used during quizzes and exams.

 


 

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

7          9.1, 9.2                        Sequences, Series and Convergence

9          9.3, 9.4                        Integral Test and p-Series, Comparison Test

11        9.4, 9.5                        More Comparison Test, Alternating Series

14        9.6,Quiz I                    Ratio and Root Tests

16        9.7                               Taylor Polynomials

18        9.8                               Power Series

21        9.9, Quiz II                  Representing Functions with Power Series

23        9.10                             Taylor and Maclaurin Series

25        10.1                             Conic Sections

28        Exam I

30        10.2, 10.3                    Parametric Equations

           

May

2          10.3, 10.4                    Parametric and Polar Equations

5          10.5, Quiz III               Calculus and Polar Equations           

7          11.1, 11.2                    Vectors in the Plane and Space        

9          11.3                             Dot Products

12        11.4, Quiz IV               Cross Products

14        11.5                             Lines and Planes in Space

16        11.6                             Surfaces in Space

19        Exam II           

21        11.7                             Cylindrical and Spherical Coordinates

23        13.1                             Multivariable Functions                                  

26        NO CLASS                 MEMORIAL DAY

28        13.2                             Limits and Continuity

30        13.3                             Partial Derivatives

           

June

2          13.4, Quiz V                Differentials    

4          13.5                             Chain Rules

6          13.6                             Directional Derivatives and Gradients           

9          Exam III

11        13.7                             Tangent Planes and Normal Lines

13        13.8                             Extrema for Functions of Two Variables

16        13.9, Quiz VI               Applications of Extrema

18        13.10                           Lagrange Multipliers

20        Review                                   

23        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

9.1

6,7,9,12,25,30,39,42,52,53,57,60,71,74,76,79,83,86,121,124

9.2

17-22,37,46,59,62,63,70,81,86,97,104,117-122

9.3

4,7,9,15,18,31-35,37-42,47,51-58

9.4

7-12,22-27,29-36,45-48,55-59

9.5

1-6,13,16,20,23,28,49,52,57,60,71,72

9.6

5-10,14,19,22,27,30,37,42,45,50,53,54,56,63,88,91

9.7

1-4,16,20,21,23,28,29,37,40,42,43,69

9.8

8,9,13,16,22,25,28,33,35,36,45,48,53-56,63,64,79,80

9.9

8,9,12,13,19-22,31-34,39-41,53-56

9.10

1,3,6,8,9,15,16,26,27,37,39,43-46,71

10.1

1-8,13,18,28,32,37,44,47,52,61,71-74,87,100,110,120

10.2

6,9,11,14,15,18,33,34,44,45,48,49,51,54,66,67,69-71

10.3

7,8,11,12,21,22,27,28,32,33,36,37,40,45-48,53,67,68,93

10.4

2,5,13,14,23-26,33-36,46,47,50,59,69-72,76,87,115-118

10.5

1-4,7,10,15,16,20,21,32,42,46,47,56,73

11.1

1,7,12,18,23,30,33,36,38,41,48,67,70,83,92,95-100

11.2

5,6,25-28,31,38,39,42,43,51-54,60,65,72,73,83,86,92,95,112

11.3

3,6,13,18,24,25,32,33,37,67,70,71,75-77

11.4

8,9,14,15,31,32,34,35,37,42,43,48,53-55

11.5

5,10,14,19,22,25,28,29,37,42,49,58,61,85,88,97

11.6

1-6,21,26,29,30,42,43,46,56,63,67,68

11.7

5-8,14,15,28-32,48,53,57-60,65-68,74,77,84,87-92,119-122

13.1

8,9,14,15,18,19,22-25,45-48,52,77,82-85,89-92

13.2

12-15,22,31,43,46,60,61,72,73

13.3

12,13,18,23,37,40,45-48,55,56,61,62,75,78,81,97,98

13.4

4-7,14,15,17,20,26,33,34,37,41,44

13.5

1,2,8,9,13,14,17-20,28,29,37-40,51,56

13.6

5,6,15-18,25-28,34,37,56,63,71,77-80

13.7

6,11,16,17,21,24,30,33,42,50,53

13.8

8,11,13,14,23,26,31-34,45-48,55,60,63,64

13.9

7,10,15,19,21,28,38,47

13.10

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