Math 125-Calculus I

Section 050, Summer 2011.

Course notes | Exams | Grading | Lectures | Homework | Old Tests

Professor: Martyn Dixon
Office: 312B Gordon Palmer
Telephone: 348-5154
e-mail: mdixon at gp dot as dot ua dot edu
Office Hours: Monday-Friday 7:00-7:50 am, or by appointment.

CLASS HOURS: MTWRF 8:00-9:45 am, W 2:00-4:30 pm. Room 207 GP.

COURSE PREREQUISITES: A grade of C- or higher in MATH 112 and MATH 113 (or MATH 115) or a mathematics placement score in the 440-550 range.

COURSE DESCRIPTION: First course in the three part basic calculus sequence for students majoring in mathematics, science, or engineering. Topics include limits, continuity, differentiation, applications of differentiation, and integration. Applications of the derivative are covered in detail, including approximations of errors using differentials, maxima and minima problems, curve sketching, optimization problems, and Newton's Method. Topics on integration include Riemann sums, properties of definite integrals, integration by substitution, and integrals involving logarithmic, exponential, trigonometric, inverse trigonometric, and hyperbolic functions.

LEARNING OUTCOMES FOR 100- AND 200-LEVEL COURSES:
1. Students will be able to identify key concepts in the arts, sciences, humanities, or mathematics to provide a broad perspective.
2. Students will be able to demonstrate effective written communication skills.

LEARNING OUTCOMES FOR THIS COURSE:
1. Students will develop a basic understanding of the concepts of calculus and be able to apply them to real situations.
2. Students will be able to find limits of functions.
3. Students will be able to calculate (and simplify) derivatives involving rational, exponential, trigonometric, inverse trigonometric, and hyperbolic functions.
4. Students will be able to apply derivatives to various applications including optimization problems, linear approximation, and curve sketching.
5. Students will be able to calculate (and simplify) integrals using some basic techniques of integration.
6. Students will be able to use integration to find the area of certain types of planar regions.

Attendance Policy and Grading:

Attendance is required at the lectures. An attendance sheet will be passed around and students will be expected to sign in and stay for the duration of the class. Students are solely responsible for any work missed during an absence. You are allowed two absences without penalty. For each other absence (whether there is a good excuse or not) you will lose 2 percentage points from your final course grade, for a maximum of 10 percentage points. Thus if you miss 7 classes then the maximum grade you can receive in this course is 90%. If you miss 3 classes then the maximum grade you can receive in this course is 98%.

Exam Schedule:

Exam DATE
Test 1 Wednesday, June 8, 2:00-4:30 pm (Comprehensive)
Test 2 Thursday, June 16, 8:00-9:45 am (Comprehensive)
Test 3 Friday, June 24, 8:00-9:45 am (Comprehensive)
FINAL EXAM Wednesday, June 29, 8:00-10:30 am. (Comprehensive)

Note that each exam will be a comprehensive written exam, that is, each exam will be based on ALL previous work in the course. Please note also that the use of electronic devices (calculators, cell phones etc.) will not be permitted during tests.

Last day to drop with a grade of W: Friday, June 17, 2011. No withdrawals from this course can be made after this date.

Grading Policy:

There are three test scores. The final exam will be counted twice giving a total of five scores each out of 100. The lowest of these scores will be dropped (thus effectively, your final exam, if it is higher than some intermediate test, will replace that test score) and your grade then determined using the four remaining scores, each weighted equally, for a total of 90%. I will then adjust your final grade based on any absences that you may have. There will be no make-ups for missed exams. If you miss a test then that will count as your dropped grade. If you miss further tests then your final will count the appropriate amount more providing you have a reasonable excuse. Make sure that you do not miss the final exam! Please understand the implications of this policy. If you make an average score of 70% on the tests but you miss 7 or more classes then you will not pass this course. I do not add the attendance grade to your average score. Your exam score has to be weighted by 90% before I add the attendance grade. If x represents your average exam score and y is your attendance score then your grade is calculated by the expression (0.9) * x +y, where here x is a number between 0 and 100 and y is a number between 0 and 10.

Your grade for the course will be based on the following scale:

A+ [97,100) A [92,97) A- [90,92)
B+ [87,90) B [82,87) B- [80,82)
C+ [77,80) C [72,77) C- [70,72)
D+ [67,70) D [62,67) D- [60,62)
F [0,60)

COURSE MATERIALS:
1. Text: Essential Calculus: Early Transcendentals by J. Stewart, published by Brooks/Cole.
2. A calculator for aid in doing homework problems. Please note also that the use of electronic devices (calculators, cell phones etc.) will not be permitted during tests.

CHAPTERS COVERED:
1 Functions and Limits
2 Derivatives (2.7 optional)
3 Inverse Functions:Exponential, Logarithmic and Inverse Trigonometric Functions (3.4 optional, 3.7 omit)
4 Applications of Differentiation
5 Integrals
7 Applications of Integration (7.1 only-Areas between curves)

Course Notes

 This class is designated as being worth 4 credit hours. This represents the number of hours in a regular semester that you come to class each week. The University guidelines concerning additional time to be spent outside of class, doing work for this course, are that for each hour you are in class you should spend at least an additional two hours each day learning the material covered in lectures; this will include studying class notes and the textbook, and completing homework assignments. Thus, each day you will be in class for a minimum of two hours and you should aim to be doing about four hours of homework outside of class. Each class period I shall assign homework from the book. This should not be handed in, but you should complete the assignment before the next class so that we can discuss any problems that may have arisen. IT IS IMPORTANT TO DO THIS HOMEWORK EVEN THOUGH IT IS NOT BEING HANDED IN. I expect you to attend every class since it is my experience that students who miss class on a regular basis rarely do well and, in any case, you penalize yourself by missing the attendance grade. At the weekend you should spend a few more hours reviewing the previous week's work and preparing for the forthcoming exam. If you start to get lost get help immediately either by coming to office hours or seeking the aid of a tutor (the mathematics department has a list). There are videotapes of this course at the Center for Teaching and Learning. Your grade depends upon you and how much time and effort you are prepared to put in.

FREE TUTORING: see Center for Teaching and Learning for more information.

CODE OF ACADEMIC CONDUCT STATEMENT

All acts of dishonesty in any work constitute academic misconduct. This includes, but is not limited to, cheating, plagiarism, fabrication of information, misrepresentation, and abetting any of the above. The Academic Misconduct Disciplinary Policy will be followed in the event that academic misconduct occurs. Students should refer to the Student Affairs Handbook which can be obtained from the Student Life Office in Ferguson Center. The Academic Misconduct Disciplinary Policy will be followed in the event of academic misconduct (see also Student Handbook, page 77).

NON-ACADEMIC MISCONDUCT All cell phones and other electronic devices are to be turned off and out of sight while you are in the classroom. All newspapers and other materials not related to the class are to be put away once class begins. Operating these devices and reading unrelated materials while in class is disrespectful of your instructor and fellow classmates. If you fail to abide by this rule, the instructor has the right to confiscate the device or materials. If you have an emergency and need to have your phone turned on during class, ask your instructor for permission before class begins.

DISABILITY ACCOMMODATION STATEMENT

Students with disabilities are encouraged to register with the Office of Disability Services, 348-4285 (see also Office of Disability Services). Thereafter, you are invited to schedule appointments to see me during my office hours to discuss accommodations and other special needs.

Course notes | Exams | Grading | Lectures | Homework | Old Tests