MATH1470-01 (CALCULUS II)
Syllabus for FALL 2007
Instructor:
Dr. Zhijun (George) Qiao
Office: MAGC 3.722, Phone: 381-3406 (W) 739-7148 (H), Email:
Webpage:
Office hours: Monday through Friday 11:00am – 11:45am or by appointment. But, Every Tuesday morning 11:00am – 11:45am I will tutor MATH LAB II in MAGC 3.530 as my office hours.
Classrooms: MAGC 1.208, MAGC 2.410
Time:MWF8:45am –9:35am(MAGC 1.208), and
T 9:10am -10:00am(MAGC 2.410)
Prerequisite:
A student must have completed and passed Calculus I (Math 1460) with a grade C or better, or appropriate high school background and placement scores. The student not meeting this requirement will be asked to drop the course.
Textbook:Required textbook: Calculus with Early Transcendentals, by James Stewart (5th edition), Thomson publishing company.
Topics:Applications of Integration, Techniques of Integration, Further Applications of Integration, Parametric Equations and Polar Coordinates, and Infinite Sequences and Series.See Chapters 6, 7, 8, 10, and 11.
Calculator:A calculator (TI-83 plus) capable of performing complicatedintegrals and calculations (e.g. some definite integrals and series etc) is recommended, but not required.
Daily supplies: You need to bring Textbook, Notebook, Loose leaf paper, Graph paper, Pen, Pencil etc to the class.
Course Objectives:The purpose of this course is to use basic integral formulas and basic mathematical techniques tocalculate integrals (both definite and indefinite) and infinite sequences and series. Emphasis will be placed on the learning and understanding of definitions and abstractions in mathematics, as well as the study of the use of integration and series in real-world problems. A more detailed list of topics is given later under Course Schedule.
Student Learning Outcomes: After completing this course students will
Correctly apply the standard methods of integration, including substitution, integration by parts, trigonometric identities, trigonometric substitution, and partial fraction decomposition.
Approximate definite integrals using the Riemann sums, trapezoid rule, Simpson's rule, and series techniques.
Properly define and evaluate improper integrals and apply the Comparison Test to determine whether they converge or diverge.
Apply integration to compute areas, volumes, work, average values of functions, arc lengths, surface areas, hydrostatic pressures and forces, centers of mass, and moments.
Define curves parametrically and in polar coordinates, and perform the standard calculus computations on parametric and polar curves, such as derivatives, integrals, areas, arc lengths, and surface areas.
Understand the concepts of sequence, series, limits of sequences and series, convergence and divergence of sequences and series, and absolute and conditional convergence of series.
Compute power, Taylor, and Maclaurin polynomials and series for a function, and apply these ideas to problems in mathematics, science, and engineering.
General Grade Policy
Homework and Quizzes – Homework assignment is assigned daily and will consist of problems and reading from the textbook and occasional handout. Quizzes are based on the homework problems. A quiz will basically be taken every chapter. It is strongly recommended that students work all those problems since homework and quizzes score are used to determine your quizzes grade.Completing the assignments is the single most important partof this course.You will be expected to spend, on average, about 4 hours each week to complete the assignments. The assigned homework will be collected and graded, and they will form the basis for quizzes, midterm tests, and the final exam. I will select your best 10of your weekly homework and best 3 of the 4 quizzes in your final grade. A homework assignment sheet will be delivered to everybody on the 1st day class. No late re-quiz will be accepted.
Tests – there will be three one-hour in-class tests. All tests must be taken during their scheduled times. The test time will be announced in advance (basically, a test will be given after one and half chapters), and a short review will be given before each test. All students must show their work on the tests (on each test, I will give you extra credit if you can complete the bonus problem). Score will be provided to you separately. No retest opportunities.
Final Exam – The comprehensive final exam is tentatively scheduled on Tuesday, Dec. 11, 20079:45am – 11:30am. All students must take the final exam on the scheduled time (on the final exam, I will give you extra credit if you can complete the bonus problem). A summary review will be given in the class before the final exam.
Grading –The course grade will be based on
Best 10 of the 14 weekly HWs at 10 pts each / 100 ptsBest 3 of the 4 quizzes at 20 pts each / 60 pts
Test 1 / 100 pts
Test 2 / 100 pts
Test 3 / 100 pts
Comprehensive Final Exam / 140 pts
Total / 600 pts
The course grade will be assigned according to a scale no higher than A(90-100%), B(80-89%), C(70-79%), D(60-69%), F(below 60%).
THERE WILL BE NO MAKE-UP QUIZZES OR EXAMS GIVEN.
If a student is absent during a scheduled major test and quiz, the student must go by the instructor’s office during the scheduled office hours to discuss the validity of the excuse. In the case of a valid excuse, the missed test grade will be replaced by the next test or final exam grade. If a student does not have a valid excuse, the grade for the missed test is a zero and cannot be replaced. If you arrive late to a test you will not be given additional time to complete the exam. Anyone arriving to a test after somebody else who took the exam has left will not be allowed to take the exam.Students missing more than one exam may be dropped from the course. With an unexcused absence, a score of 0 will be recorded for the missed quiz or exam.
Tutoring: There are several tutoring available on campus. For example, the MATH LAB I in MAGC 3.510 and MATH LAB II in MAGC 3.530 and the MathLearningCenter in the StudentServiceBuilding room 304.Every Tuesday afternoon 1:00 – 2:00pm I will tutor MATH LAB II in MAGC 3.530.
Attendance Policy: Attendance is mandatory and is taken daily; arriving 15 minutes late is considered an absence. If three or more absences have accumulated, the instructor has the right to drop the student from class in accordance with policies set by the University of Texas-Pan American. It is strongly advised to attend each lecture. Students are responsible for all material presented in class and in the textbook sections, for textbook problems, for supplementary material, and for any changes made to the syllabus.
An attendance sheet is provided for you tosign at each class. Make sure you sign this sheet after your class attendance. Once you are absent, it is your responsibility to determine what class work and notes were missed and make arrangements to comply with all missed assignments by yourself. On the third absence, for any reason, the student will receive an automatic DF, unless otherwise approved by the instructor.Students arriving late or leaving early without prior arrangements with me may be recorded absent for the day.
Drop Policies:A student may drop the course at any time before the final exam.A student wishing to drop the course must submit and sign a DROP FORM. The forms can be obtained at the Registrar’s Office or at the Department’s Secretary Offices. Remember that it is the responsibility of the student to follow the procedure in the university catalog for dropping a course.
DropPass: After Sept 21, 2007and prior to the final exam,
- if the student's overall is within a reasonable amount (usually refers to class average), the student can request and receive a grade of DP
- if the student's overall is slightly below the reasonable amount (usually refers to class average), the student can still receive a DP by submittinga folder with the assigned homework completed, and the total number of hours the student attendedtutoring.The homework must show the required calculations.Otherwise the student will receive a DF. The instructor must approve other circumstances.
Drop Fail: A student requesting a drop and whose average is extremely low will receive a DF. Any student missing any two major exams or the final exam will automatically receive a grade of DF. On the third absence of class, the student will receive an automatic DF, unless otherwise (good excuse like sudden accident etc) approved by the instructor.
Classroom Behavior:
· All beepers and cellular phones must be turned off before you enter the classroom.
· Once in class, a student is expected to remain in class for the duration of the class. If a student needs to leave class early, than the student needs to discuss the situation with the instructor before class begins.
· During class students are expected to be courteous to the instructor and other classmates.Examples of discourteous behavior are unnecessary talking, sleeping, tardiness, leaving class while instructor is lecturing, sharpening pencils during the lecture, etc.
· No Food Allowed In Classroom.
· Chronic tardiness and discourteous behavior will not be tolerated and is cause for a student's dismissal from class for the remainder of the semester.
Special Accommodations:
If you have a documented disability which will make it difficult for you to carry out the work as I have outlined and/or if you need special accommodations/assistance due to a disability, please contact the Office of Services for Persons with Disabilities(OSPD), Emilia Ramirez-Schunior Hall, Room 1.101 immediately, or the Associate Director at , 316-7005.Appropriate arrangements/accommodations can be arranged.
Important Dates:
August 27, Monday, First Day of classes
September 3, Monday, Labor Day Holiday, No Classes
September 12, Wednesday, Twelfth class day, Census date
September 21, Friday, Last day to drop a course or to withdraw from the University with a grade of “DR” or “W” recorded; last day to change to non-credit.
November 21, Wednesday, Last day to drop courses or withdraw through the Office of the Registrar
November 22-23, inclusive Thanksgiving Holiday
December 6-7, inclusive limited departmental final examinations, Dead Days
December 10-13, inclusive Fall semester final examinations
December 14, Friday Fall final grades to be entered by faculty not later than 3:00p.m.
December 15, SaturdayCommencement exercises
Tentative Course Schedule:
Section / Topics / Quiz/Test6.0 / Introduction and Reviews
6.1 / Areas between Curves
6.2 / Volumes 1
6.3 / Volumes 2
6.4 / Work / Quiz 1
6.5 / Average Volumes
Rev / Homework Problems
7.1 / Integration by Parts
7.2 / Trig Integrals
7.3 / Trig Substitution
7.4 / Integration by Fractions
Test 1
7.5 / Strategy for Integration
7.6 / Integration using tables
7.7 / Approximate Integration
7.8 / Improper Integrals & Rev / Quiz 2
8.1 / Arc length
8.2 / Area
8.3 / Applications to Phys
8.4 / Applications to Bio
10.1 / Curves by Parametric equation
10.2 / Calculus with Parametric Curves
10.3 / Polar Coordinates
Test 2
10.4 / Length
10.5 / Conic section
10.6 / Conic in parametric coordinates
11.1 / Sequences
11.2 / Series
11.3 / Integral Test
Quiz 3
11.3 / Estimates of Sums
11.4 / Comparison test
11.5 / Alternating Series
11.6 / Absolute Convergence
11.6 / Ratio and Root Test
11.7 / Testing Series
11.8 / Power Series
11.9 / Representation of Functions
11.9 / Home Work Problems
11.10 / Taylor Series
11.10 / Maclaurin Series
11.10 / HW problems and Rev
Test 3
11.11 / Binomial Series
11.11 / Binomial Series
11.12 / Applications
11.12 / Applications / Quiz 4
HW Problems and Review
Review
Dec. 6 – 7 / Dead day (No class)
All Contents in the whole semester / Final Exam
First day homework:In order to communicate with all students, I need to edit an email list. If your email is not UTPA address, please send me an email and tell me: Math course number, Section number, Your name, Student ID, and email address you like me to contact.
Math 1407-01 Homework Assignments
Part I
§ 5.5 / 4 / 13 / 21 / 23 / 27 / 41 / 58 / 63 / - / -Completed / - / -
§ 7.1 / 6 / 7 / 9 / 13 / 20 / 21 / 23 / 25 / 33 / 34
Completed
§ 7.2 / 3 / 5 / 7 / 14 / 17 / 26 / 29 / 41 / - / -
Completed / - / -
§ 7.3 / 3 / 4 / 7 / 13 / 16 / - / - / - / - / -
Completed / - / - / - / - / -
§ 7.4 / 2 / 3 / 4 / 11 / 16 / 19 / 25 / 28 / 39 / -
Completed / -
§ 7.8 / 2 / 7 / 9 / 13 / 21 / 28 / 31 / 34 / - / -
Completed / - / -
§ 7.7 / 1 / 13(a) / 13(b) / 20(a) / 20(b) / - / - / - / - / -
Completed / - / - / - / - / -
Part II
§ 6.1 / 1 / 4 / 7 / 9 / 11 / 17 / 19 / 24Completed
§ 6.2 / 1 / 5 / 7 / 9 / 11 / 15 / 34 / -
Completed / -
§ 6.4 / 3 / 5 / 7 / 9 / - / - / - / -
Completed / - / - / - / -
§ 6.5 / 1 / 3 / 7 / 10 / - / - / - / -
Completed / - / - / - / -
§ 8.1 / 3 / 6 / 8 / 9 / 18 / 19 / - / -
Completed / - / -
§ 8.2 / 1 / 4 / 5 / 7 / 8 / 14 / 15 / -
Completed
§ 8.3 / 22 / 23 / 25 / 28 / 34 / - / - / -
Completed / - / - / -
Review / 6 / 7 / 9 / 15 / - / - / - / -
Completed / - / - / - / -
Part III
§ 10.1 / 2 / 6 / 7 / 11 / 13 / 21 / 24Completed
§ 10.2 / 5 / 7 / 12 / 15 / 19 / 31 / 37
Completed
- / 44 / 58 / 59 / 65 / - / - / -
Completed / - / - / -
§ 10.3 / 4(a) / 4(c) / 5(a) / 11 / 15 / 17 / 25
Completed
- / 29 / 32 / 33 / 37 / 57 / 61 / -
Completed / -
§ 10.4 / 6 / 9 / 17 / 23 / 27 / 29 / 47
Completed
§ 11.1 / 4 / 5 / 9 / 13 / 17 / 19 / 21
Completed
- / 29 / 31 / 37 / - / - / - / -
Completed / - / - / - / -
§ 11.2 / 1 / 9 / 11 / 17 / 19 / 23 / 27
Completed
- / 30 / - / - / - / - / - / -
Completed / - / - / - / - / - / -
§ 11.3 / 3 / 7 / 11 / 19 / 20 / 21 / -
Completed / -
§ 11.4 / 1 / 5 / 7 / 9 / 15 / 17 / 20
Completed
- / 21 / 31 / - / - / - / - / -
Completed / - / - / - / - / -
§ 11.5 / 2 / 4 / 5 / 7 / 14 / 17 / -
Completed / -
§ 11.7 / 1 / 3 / 7 / 8 / 13 / 15 / 22
Completed
- / 23 / 31 / - / - / - / - / -
Completed / - / - / - / - / -
§ 11.8 / 3 / 4 / 10 / 15 / 17 / 18 / 25
Completed
- / 30 / - / - / - / - / - / -
Completed / - / - / - / - / - / -
§ 11.9 / 3 / 7 / 13 / 14 / 15 / 21 / -
Completed / -
§ 11.10 / 3 / 5 / 12 / 13 / 16 / 27 / 28
Completed
- / 49 / 55 / - / - / - / - / -
Completed / - / - / - / - / -