Calculus IV

MA 214-003

Fall 2007

Instructor Prof. Richard Carey

MWF 1100-1150 CB 337 Office POT 965

Office Hours: MW 01:00 -01:50 & by appt. Phone 257-3745

Text: Elementary Differential Equations by Boyce and DiPrima (eighth edition)

Course Description [Bulletin Description]

MA 214 CALCULUS IV is a course in ordinary differential equations. Emphasis is on first and second order equations and applications. The course includes series solutions of second order equations and Laplace transform methods. Lecture, three hours. Prereq: Ma 213 or the equivalent.

During the semester we will cover parts of

· Chapter 2 First order equations

· Chapter 3 Second order equations

· Chapter 4 Higher order linear equations

· Parts of Chapters 5 Series solutions of second order linear

equations

· Parts of Chapters 6 Laplace transform methods

Explicit solutions of differential equations are usually found by converting the calculus problem into an associated algebraic problem. Exponential and logarithmic functions play a large role. When explicit solutions are not possible one focuses on numerical approximations, and series solutions.

Your main goal should be to learn the material well enough so that you can use calculus in an applied context such as biology, business and economics, computer science, engineering, chemistry, physics, or social science, etc. It is essentially impossible to passively teach mathematics; it must be actively learned. To understand what this means, consider the impossibility of learning to play tennis by listening to someone describe how to play tennis. You will not learn the material in this course by just listening to the lectures, and thinking to yourself - "Yes, I understand that". You must work the problems and make mistakes before you will begin to learn. The instructor's task is that of an assistant to help you learn as much of the material as you desire.

Cheating: Cheating will not be tolerated, and you are responsible for knowing University policy on cheating. The University’s minimum policy for cheating is failure in the course. (Yes, the chair of the department does spend time each semester prosecuting students who thought they’d never get caught!) Cheating can lead to expulsion from the university. For a complete description of University policies on excused absences, cheating, and student responsibilities see UK's New Academic Offenses Policy can be found at

http://www.chem.uky.edu/research/grossman/acadoffenses/index.htm

For instance, Senate Rule 6.4.11 states:

The minimum penalty for an academic offense is an E in the course in which the

offense took place. The repeat option may not be used to remove an E given for

an academic offense. If a prior academic offense has been recorded in the

Registrar’s Office, the minimum penalty shall be suspension for one semester (or

a minimum of four months in those colleges in the Medical Center where the

semester system is not in use. Penalties more severe than the minimum may be

imposed where warranted by the circumstances.

Our class is a cell phone-free zone. Cell phones must be off & out of sight for the entire class period.

Important Dates:

August 22 (Wed.)................................. ………..…….. First day of classes

Sept 3 (Mon.)................................... ………………… No classes – Labor Day

August 28 (Tues.).......................................... Last day to add a class

Sept. 12 (Wed.) ….. …..Last day to drop a class without a grade

Sept 21 (Fri)………… …. Examination 1

Oct. 19 (Fri) Examination 2

Oct. 20 (Sat) ………………………. .Last day to withdraw from a class

Nov. 16(Fri.)……………………………… Examination 3

Nov.21 (Wed.)…………………………………Fall Break- Academic Holiday

Nov. 22-23 (Thurs.-Fri.)………… Academic Holiday -Thanksgiving

Dec. 7 (Fri.)............................................ . Last day of classes
Dec. 12 (Wed.)………Final Examination, 1030am – 1230pm CB 238

Note: You should make sure you have these exam times available.

All tests during the regular semester will be in TBA.

There is an official procedure for dropping a course. You haven't withdrawn if you simply quit attending. A student who drops a class before September 12 will receive no grade. A student who withdraws after September 12 will receive a grade of W. After Oct. 20 no student will be allowed to withdraw unless his/her dean determines that unusual circumstances merit the withdrawal.

Grading: Your grade will be evaluated on the following distribution of points:

Instructor points

Quizzes/Presentations 100 points

Some quizzes maybe in the form of class presentations.

Exam Points 430 points

There will be four exams given in this course(see dates above). The grading scale for the first three Exams will be as follows:

90-100 A

80-89 B

70-79 C

60-69 D

Below 60 E

The grading scale for the final exam will be as follows:

117-130 A

104-116 B

91-103              C
78-90               D
Below 78          E

Your course score will be the sum of your tests scores and the instructor score.

The grading scale for the course will be as follows:

                 Cumulative score            Grade
                        477-530                           A
                        424-476                            B
                        371-423                            C
                        318-370                            D
                        below 318                          E

The exams will be curved in the following way. The mean of all students who earn 30%

(40% on the final exam) or more on an exam will be computed. Points will be added to the scores so this mean is adjusted to a score of 75 (97.5 on the final). If the mean is 75 or more, no points are added to the scores.

Exam, Quiz and Attendance Policy: . In order to be fair to all students, dates of exams are firm. It is very important to take each exam on schedule. Missed work may be made up only due to illness with medical documentation or for other unusual (documented) circumstances. (See your Student Rights and Responsibilities http://www.uky.edu/StudentAffairs/Code/). Students who have university excused absences or who have university-scheduled class conflicts with uniform examinations may arrange with their instructor to take the exam at an alternate time. Work-related conflicts are neither university excused absences or university-scheduled absences. If you miss an exam, you receive a zero. You will be eligible for a make-up only if you present a valid excuse to me before the exam. If you cannot find a reasonable arrangement for a make-up, contact the departmental Ombudsman, TBA. If you miss 4 lectures sections your cumulative score drops by 10%, i.e., from A to B. If you miss 5 recitation sections your cumulative score drops 15%; if you miss 6 recitation sections you lose 20%, e.g., A to C. If you miss 7 or more recitation sections you get an E. This policy begins the week of Sept. 10, 2007

Excused Absences: S.R. 5.2.4.2 defines the following as acceptable reasons for excused absences:

serious illness;
illness or death of family member;
University-related trips;
major religious holidays;
other circumstances you find to be "reasonable cause for nonattendance."

Students anticipating an absence for a major religious holiday are responsible for notifying the instructor in writing of anticipated absences due to their observance of such holidays no later than the last day for adding a class. Information regarding dates of major religious holidays may be obtained through the religious liaison, Mr. Jake Karnes (257-2754).