MAT 107

Calculus and Analytical Geometry

Spring 2012

 

Instructor: Bruce Armbrust, phone: 541-4660x314, email: bruce.armbrust@hotmail.com

 

Office Hours: Room A210,   Mon., Wed.      12:00  – 1:00 PM

Tues., Thurs.              10:00 – 11:00 AM

MSC A201,      Fri.                   11:00 AM – 12:00 PM

And as always, by appointment.

 

Class Time and Location: Mon., Wed., & Fri. 8:00 - 9:40 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:

By the end of the term, students shall be able to

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:                                          15%

Quizzes:                                             15%

Poster Project:                                    10%

Exam1 (April 23)

Exam2 (May 14):                                 35%

Exam3 (June 4)

Cumulative Final Exam (June 18):     25%

 

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

 

http://www.gradesource.com/reports/1027/22450/index.html 
Homework: Homework will be due by 3PM 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 at a date TBD.

 

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.  The final exam may be taken no later than June 18th.

 

Registration Information: You may drop the class with no penalty or mark on your record on or before April 27.  After April 27, you may drop the class and receive a grade of W until May 18.  After May 18, 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 and all dropping of lowest exam or quiz scores will be forfeit.  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

2          9.1, 9.2                        Sequences, Series and Convergence

4          9.3, 9.4                        Integral Test and p-Series, Comparison Test

6          9.4, 9.5                        More Comparison Test, Alternating Series

9          9.6,Quiz I                    Ratio and Root Tests

11        9.7                               Taylor Polynomials

13        9.8                               Power Series

16        9.9, Quiz II                  Representing Functions with Power Series

18        9.10                             Taylor and Maclaurin Series

20        10.1                             Conic Sections

23        Exam I

25        10.2, 10.3                    Parametric Equations

27        10.3, 10.4                    Parametric and Polar Equations

30        10.5, Quiz III               Calculus and Polar Equations

           

May    

2          11.1, 11.2                    Vectors in the Plane and Space        

4          11.3                             Dot Products

7          11.4, Quiz IV               Cross Products

9          11.5                             Lines and Planes in Space

11        11.6                             Surfaces in Space

14        Exam II           

16        11.7                             Cylindrical and Spherical Coordinates

18        13.1                             Multivariable Functions                                  

21        13.2                             Limits and Continuity

23        13.3                             Partial Derivatives

25        13.4, Quiz V                Differentials    

28        NO CLASS                 MEMORIAL DAY

30        13.5                             Chain Rules

           

June

1          13.6                             Directional Derivatives and Gradients           

4          Exam III

6          13.7                             Tangent Planes and Normal Lines

8          13.8                             Extrema for Functions of Two Variables

11        13.9, Quiz VI               Applications of Extrema

13        13.10                           Lagrange Multipliers

15        Review                                   

18        Final Exam                 Note: The final is from 8:00 - 9:50 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