Faculty: Meir Shillor Office: 554 SEB
Phone: 370-3439
Class Time: MTWR 12:00-1:35 PM
Room: 172 SEB
Discussion Board: http://www.otus.oakland.edu/ou/
Prerequisites: The prerequisite for this course is MTH 155 or its equivalent, with a grade of 2.0 or better. It will be checked!
Text: Calculus Early Transcendentals by J. Stewart, 4th Edition. We will cover most of chapters 12-16 as time permits. You are responsible for a careful reading of the text as well as the entire content of the lectures.
Office Hours: Monday and Wednesday 1:35-3:00 PM. Students who are unable to make the announced hours may make individual appointments by contacting the instructor.
Exams: The grade in this course will be based on two 100-point hour exams, one group project of 100 points and one 200-point final exam.
Exam #1 will be on Monday, July 8;
The group project is due on Thursday, July 25;
Exam #2 will be on Monday, August 5.
There will be no make-up exams. In case a legitimate, documented reason for missing an exam is promptly given to the instructor, a grade for that exam will be determined by that portion of the final exam corresponding to the missed material.
In case the university is officially closed on a scheduled exam date, the exam will be held on the next class date that the university is officially open.
Grades: There is no fixed grading scale in this course; a conversion formula from your percentage score to Oakland University grades will be determined at the end of the course. However, the following table shows the lowest possible grade that a given percentage score will earn:
Homework: Homework will be assigned on a regular basis but it will not be collected or graded. In order to do well on the tests you must do the homework assignments on a regular basis. At least two hours should be spent on homework for each hour of lecture in class. The homework assignments represent the minimum amount of mental exercise necessary to learn the material; students having difficulties with any particular topic should do more than just the assigned problems. In addition to doing the homework, you should keep on top of the subject by regularly reviewing earlier material, asking questions in class, and making use of office hours.
Conduct: Success in this course requires an atmosphere conducive to learning. As a courtesy to your fellow students and instructor, please come to class on time and refrain from extraneous conversation during class. All electronic communication devices such as portable stereos, walkmans, pagers, beepers, phones, etc. must be turned off prior to entering classroom. If circumstances make it necessary for you to leave early, please notify the instructor in advance and sit near the door. Otherwise, come prepared to stay for the entire class.
Honesty: Cheating is a serious academic crime. Anyone convicted of cheating in this course will receive a course grade of 0.0 in addition to any penalties imposed by the Academic Conduct Committee.
Important Dates:
June 27 - Last day of 100% tuition refund;
July 1 - Last day for no grade drop:
July 31 - Last day for official withdrawal.
August 14 - Last class
Schedule: We will cover two sections per class! You will find it easier if you read
the two sections in advance. Then you will benefit much more from the lecture.
Questions with a star are a bit harder, but you must know how to do them if you want
4.0 in the course.
June 25: Sections 12.1 -- 12.6
HW 12.1--(pp. 787-8): 1 - 4, 12 - 16, 18*, 23, 25
HW 12.2--(pp. 794-6): 1 - 4, 7, 9, 11, 18, 19, 308, 31*, 32*
HW 12.3--(pp. 802-3): 1, 3 - 5, 13 - 17, 25, 26, 35, 43, 44, 53*, 54*, 61*, 62*
HW 12.4--(pp. 809-10): 1 - 7, 9, 17*, 18*
HW 12.5--(pp. 818-20): 6 - 11, 20 - 22, 35, 36, 49, 57
HW 12.6--(pp. 825-6): 1 - 8, 21 - 28, 45*, 46*
July 1: Sections 12.7, 13.1, 13.2, 13.4, Review
HW 12.7--(p. 831): 1, 2, 5, 15, 31 - 47 all the odd ones.
This material is very useful when we deal with special geometries with symmetry.
HW 13.1--(pp. 842-3): 1, 2, 3, 6, 7-12, 36*
HW 13.2--(pp. 848-9): 1, 3 - 8 ((b) only), 17 - 24, 33 - 37, 39, 45*, 50*
vector functions of one variable - representing curves in 3D
HW 13.4--(pp. 865-6): 4 - 7, 9 - 12, 34*
Using calculus to describe motion of rigid bodies in space.
July 4 -- no class.
July 8, Monday : Exam 1.
The material includes sections 12.1-13.2, 13.4. The time: 12:00-1:30 PM (90 min).
There will be 12 questions on the exam. You have to choose 7 questions
out of questions 1-10, and you have to answer questions 11 and 12. Each
question is worth 11 points (100 points total). You may bring one sheet (A4)
freely written. Please attach it to your exam.
July 8: Exam #1,
Sections 14.1 --14.4
HW 14.1--(pp. 883-7): 1 - 3, 6, 8, 16, 17, 30, 32, 46, 51 - 56, 67*
HW 14.2--(pp. 894-5): 1, 5 - 14, 27, 28, 30, 31, 33, 35, 41*, 42*
The material on limits and continuity is at the
foundation of all that follows.
Make sure that you both understand and can do the homework.
HW 14.3--(pp. 905-8): 1 - 3, 5, 11 - 30, 36, 55 - 58, 65*, 66*, 69*, 72* 76*
This is the heart of the matter. It relies on limits and continuity.
Everything else depends essentially on it.
HW 14.4--(pp. 916-7): 1 - 4, 11 - 16
This is very usefull in practice since very often we approximate nonlinear
functions by linear ones. Moreover, since the latter can be computed numerically
while nonlinear functions are very difficult to compute, we always linearize them.
Exam #1 Median= 85 (23 students).
The solution of the exam (PDF format):
Remarks: Students with grade 90% and above are wellcome to see me during
my office hours in the next week; those with grade 65% and below must come
and see me soon!
July 15: Sections 14.5 -- 14.8
HW 14.5--(pp. 924-6): 1 - 12, 19, 25, 26, 33 - 35, 37, 39, 46*
HW 14.6--(pp. 936-9): 7 - 18, 21 - 24, 29 - 32, 33*, 45, 46, 508, 51*, 52*, 53*, 62*
HW 14.7--(pp. 947-9): 1, 3, 5 - 12, 27 - 31, 37 - 39, 43*, 46*, read 51- it is
about the least square method which is used widely in Science, Bussines and
Statistics.
This is s fundamental section and deals with maxima and minima of functions.
The methods and ideas are used extensively in industry in optimization of products
and processes, and of course in Science where the minimum of total energy
characterizes steady states of systems.
HW 14.8--(pp. 956-7): 3 - 6, 12 - 14, 18, 19, 21*, 23*
July 22: Sections 15.1 -- 15.6
HW 15.1--(pp. 974-5): 3, 4, 11, 17*, 18*
HW 15.2--(pp. 980-1): 1 - 3, 5, 7, 9, 17 - 20, 24*, 28*, 29*
HW 15.3--(pp. 988-9): 1, 3, 5, 12 - 18, 33 - 38, 45*, 46*, 47*, 48*, 53*
HW 15.4--(pp. 994-5): 1 - 8, 12, 13, 15 - 18, 32, 34*
HW 15.5--(pp. 1004-5): 2, 3, 7, 10, 13, 15, 18*, 23, 24, 26*, 29*
HW 15.6--(p. 1008): 1 - 4
The group project is due by Monday July 29.
July 29: Sections 15.7, 15.9, 16.1, 16.2, Review
HW 15.7--(pp. 1016-7): 3 - 7, 14 - 16, 35, 37, 38, 42 - 44
HW 15.9--(pp. 1033-4): 1, 2, 4 - 9, 13, 24*
pp. 1034: 4 - 6
pp. 1035: the Quiz
pp. 1035 - 7: 9, 10, 12, 17 - 19, 22, 23, 30, 45, 46
HW 16.1--(pp. 1046-7): 11 - 18, 21 - 24, 29 - 32, 33*
HW 16.2--(pp. 1057-9): 17 - 22, 38, 39, 40*, 41*, 42*
August 5, Monday : Exam 2.
The material includes sections 14.1- 14.8, 15.1 - 15.3, 15.5, 15.7, 15.9
Concepts:
domain of definition, limits, continuity, partial derivatives,
chain rules, implicit differentialtion, directional derivative, gradient, local maximum,
local minimum, global max/min, test for max/min, Lagrange multipliers,
double and triple intergals, Fubini's theorem, mass density, mass,
moments and center of mass, probability, expected values, transformations,
change of variablels, Jacobian of transformation
The time: 12:00-1:30 PM.
There will be 12 questions on the exam. You have to choose 7
out of questions 1-10, and you have to answer questions 11 and 12. Each
question is worth 11 points (100 points total).
Exam #2 Median= 73 (22 students).
The solution of the exam (PDF format):
Remarks: Students with grade 85% and above are wellcome to see me during
my office hours in the next week; those with grade 65% and below must come
and see me soon!
August 5: Exam #2,
Sections 16.3 --16.6
HW 16.3--(pp. 1066-7): 3 - 8, 13 - 18, 20, 29 - 32
HW 16.4--(pp. 1074-5): 1 - 4, 7, 9, 11, 14, 17, 18, 19*, 20*, 27*
HW 16.5--(pp. 1081-2): 1 - 5, 12, 13 - 18, 23 - 28, 33*, 34*, 35*, 36*(just have a look)
HW 16.6--(pp. 1091-93): 1 - 4, 11 - 16, 17 - 20, 29 - 32
August 12: Sections 16.7 -- 16.9, Reviews
HW 16.7--(pp. 1103-4): 5 - 10, 17 - 21, 26 - 28, 40*, 41*, 42*, 43*, 44*
HW 16.9--(pp. 1116-7): 7 - 10, 14 - 16, 21, 22, 23*, 24*, 25*, 26*, 27*, 28*
The last class is on Wednesday, August 14.
The final exam will be on Friday, August 16, 12:00-3:00 PM
Remainder: The final will be comprehensive. All five chapters will be represented.
The sections are: 12.1 -- 12.7, 13.1, 13.2, 13.4, 14.1 --14.8, 15.1 - 15.3,
15.5, 15.7, 15.9, 16.1 --16.7, 16.9
You may bring one A4 sheet of paper written freely on both sides.
The format will be:
10 questions out of 1-12;
questions 13 and 14 are mandatory.
Each question is worth 16 points.
Concepts:
Ch. 12: operations with vectors, dot and vector products,
lines, planes, cylinders, cylindrical and spherical coordinates;
Ch. 13: vector valued functions, curves in space, derivatives, integrals,
tangent vector, tangent line, velocity, speed, acceleration;
Ch. 14: functions of several variables, domain of definition, level curves,
limits, continuity, partial derivatives, tangent plane, chain rule,
implicit differentialtion, directional derivative, gradient, local maximum,
local minimum, global max/min, test for max/min, Lagrange multipliers;
Ch. 15: double and triple intergals, Fubini's theorem, mass density, mass,
moments and center of mass, probability, expected values, transformations,
change of variablels, Jacobian of transformation;
Ch. 16: vector fields, line integrals, the Fundamental Theorem for Line Integrals,
conservative vector field, F=grad f, if curl F=0 then F=grad f,
path independence, the line integral of F is zero on each closed curve,
conservation of energy, Green's Theorem, curl, divergence, surface integrals,
the Divergence Theorem.
Good Luck!
Have a Great Holiday!
Be successful in whatever you plan
.