Math 251
(CRN 23682)

Class Times, Days, and Place: 1:00-1:50pm MTWF, 106 DEA
Instructor: Hao Wang
Text Book:  Calculus, Concepts & Contexts  (4th Edition) by James Stewart.
Office: 11A Deady Hall
Office Hours: Wednesday: 2:00-2:50pm and Friday: 2:00-2:50pm (Otherwise, you need to make an appointment with me by e-mail.)
Email:  haowang@uoregon.edu
Web URL: pages.uoregon.edu/haowang/teaching/251W2015/251.html

Grading Policy: Your course grade is the sum of following performance scores: The homework will count as 15% of the course

 grade; the in-class quizzes will count as 25%; the midterm will count as 30% and the final exam will count as 30%.

 

Quizzes:  Usually Friday's classes will take the form of a problem session, followed (most weeks) by a short quiz. Sometimes

 a quiz may be arranged on Tuesday.  There will be five or six quizzes.  Your lowest quiz score will be dropped. Remaining quiz

 scores will be averaged and contributed to the course grade. There is no make-up quiz.  In order to encourage students to answer

questions in class, 1-3 % of the following quiz score will be given according to a student how initiatively, vigorously and correctly

answer the instructor’s question or example problem. 
 

Exam:  There are two midterms and one common final exam. UO ID is needed for each exam.  However, calculators and lecture

notes are not  allowed on each exam. Students are prohibited from giving or receiving unauthorized help on exam without

permission from the instructor.  Otherwise, an appropriate academic sanction may be given.  Academic misconduct is defined in The

University Student Conduct Code.  For each exam (including quizzes), you can bring a 3x5 inch index card with formulae or useful

notes for you. Your solution to each exam problem should be legible and  describe your ideas clearly. No details will have no scores.

Midterm and final exam dates and times are specified and can't  be changed. There are no make-up exams.  The common final exam

means that we will use the final exam to normalize “grades” across the sections.  Basically, if K number of students from our section

get As on the final, then we will be able to give K number of As in our section for the total course grade (and similarly for Bs, Cs,

etc). Note that the students who get As on the course grade need not correspond to the students who got As on the final.


 

Homework:  Homework questions and due dates are posted in the following Tentative Syllabus of this web page which will be

updated very often. Homework is due weekly before 3:00pm of each Friday or the date specified in the Tentative Syllabus. It is

your responsibility to check the updated Tentative Syllabus each Thursday afternoon or the date before the specified due date in the

Tentative Syllabus. Late handing in homework will not be accepted.   One lowest homework score will be dropped and the

remaining homework scores will be averaged and contributed to the course grade. You can discuss with other students while

working on your homework problems, but copying other students' answers is not allowed, otherwise a penalty of score deduction

may be given. Your solution to each homework problem should be legible and should describe your ideas clearly. No details will

have no scores.  Please use 8.5" by 11" sheets to do your homework and don't forget to write down your first name, middle name

and last name (In order to protect your rights to confidentiality of your papers, don't write down your student ID number on

homework paper.) on each page.    Your homework will be returned in the class.  Poor attendance may alter this policy; see

"Attendance" below. 
 

 

Attendance:  Attendance is mandatory.  You are responsible for all the announcements, changes, course information, and topics

that I cover in class. If you miss a substantial number of lectures without discussing the matter with me and without a valid

excuse, a penalty of score deduction of homework and quizzes  may be given according to number of lectures missed.

 

 Course Outcomes:  A successful student of this course should be able to understand the great idea of limit, which brings

motion into mathematics, use the limit operation, find the differentiation of  different functions, model related practical

problems, such as maximum or minimum value problems and optimization problems, and solve the problems by differentiation.

 
  

                                      Tentative Syllabus
                          (Updated on Dec 12th, 2014)

Week 

Sections 

Remarks and topics 

Homework 

Week 1: 1/5--1/9

2.1--2.5

Introduction, pre-req. test, and review pre-calculus. The tangent and the velocity problems, Limit of a function,

 Calculating limits using the limit laws, continuity,

Read Chapter 1 and Section 2.1-- 2.6
 there is no homework this week.

Week2: 1/12--1/16

2.5; 2.6

  Limit involving infinity
 derivatives

 The following HW questions are due on 1/16 
 Sect 2.2: 3, 9, 14, 21, 26
 Sect 2.3 : 2, 3, 12, 13, 24, 30

 Sect 2.4 : 10, 11, 34, 35, 37, 55

 Read Section 2.7, 3.1

Week3: 1/20--1/23 

2.7—3.1 

 No Class on 1/19 (Martin Luther King Holiday)
 Examples, derivative as a function,
 derivatives of polynomials and exponential functions

 The following HW questions are due on 1/23
 Sect 2.5:  9, 11 17, 23, 28, 51, 55, 56  
 Sect 2.6: 3, 5, 8,12, 16,  21, 35, 38, 41, 45, 47, 50 
 Read Section 3.2,  3.3

Week4: 1/26--1/30

3.2; 3.3 

 Midterm Exam 1 on Friday 1/30,
 Product and quotient rules, examples,
 derivatives of trigonometric functions

 The following HW questions are due on 1/30 
 Sect 2.7 : 3, 12, 13, 20, 25, 41, 53

  Sect 2.8 : 4, 9,  12, 14, 22, 28, 31 
 Sect 3.1:  2, 15, 20, 22, 28, 29, 42, 45, 60, 65
 Read Section 3.4, 3.5

Week5: 2/2-2/6

3.4; 3.5

 The Chain Rule, examples of 
application of chain rule,

Implicit Differentiation,

Examples of Implicit Differentiation

The following HW questions are due on 2/6
 Sect 3.2: 2,  9, 15, 22, 25, 40, 41, 42, 49, 50, 60
 Sect 3.3: 2, 3, 8, 13, 29, 35, 37 
 Read Section  3.7, 3.9 and 4.1

Week 6: 2/9--2/13

 3.7; 3.9;  4.1

Derivatives of logarithmic functions,

Linear approximation and  differentials, related rates

The following HW questions are due on 2/13 

  Sect 3.4:  1, 2, 4, 7, 31, 37, 52,  70, 71, 74, 91
Sect 3.5:  15, 16, 17 
Read Section 4.2, 4.3

Week7: 2/16--2/20 

4.2; 4.3

Applications and Examples of Max. and Min. Values ,

Derivatives and the shapes of curves

The following HW questions are due on 2/20
 Sect 3.7: 2, 14, 29, 39,  40
 Sect 3.9: 2, 15,  18, 22, 33, 34, 36
Read Section 4.5, 4.6 

Week8: 2/23--2/27

 4.5; 4.6

Midterm Exam 2 on Friday  2/27,

Indeterminate Forms and L'Hospital's Rule
Applications of  L'Hospital's Rule
Optimization problems

 

The following HW question are due on 2/27
Sect 4.1: 2, 5,  6, 10, 11, 12, 13, 14, 18, 21, 23, 24, 26 , 28, 29, 33, 34, 35, 40, 41

Sect 4.2: 5, 8, 11, 23, 28, 29, 36, 41, 43, 47, 51, 62, 65
Read Section 4.6, 4.7 

Week9: 3/2--3/6

4.6; 4.7

 

Newton Method 
Applications and Examples

The following HW questions are due on 3/6
 Sect 4.3: 4, 7, 8, 13, 17, 20, 41, 49, 53, 54, 55, 56, 58,  63

Sect 4.5: 2, 4, 6, 12, 16, 61, 65 ,66, 67,  75

Week10: 3/9--3/13

 Review

Sample Tests, Examples and Review 

The following questions are due on 3/13
Sect 4.6 : 2, 5, 8, 9,  10, 15,19, 25, 27, 32, 33, 35, 43, 50, 51, 54, 56, 60  
Sect 4.7: 1, 4, 8, 23, 25, 32, 33,

 Office hour after March 13:       2:00pm—3:00pm, March 17, 2015

Final Exam: 

(1)  When:  5:00pm—7:00pm, Tuesday,  March  17, 2015. Where: click CRN in the Winter class schedule. You need to bring your UO ID.

(2)    You can bring a 3X5 index card. But no calculator.

 

 

Questions and Solutions


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