MATH 110 - Techniques of Calculus I

Penn State University
Spring Semester 2006

General Information

Instructor: Dr.  Ping Xu

Office: 329 McAllister

Office Hours: MF 2:30 - 3:30pm and by appointment                                       

Office Phone: (814)8653517

E-mail: ping@math.psu.edu

 

Textbook:   Applied Calculus for the Managerial, Life, and Social Sciences, Sixth Edition, by S.T. Tan (Brooks/Cole, 2002) 

Note that Brooks/Cole also maintains a companion website for the text. 

Course Description (from the Penn State University Blue Book)
TECHNIQUES OF CALCULUS I ( 4) Functions, graphs, derivatives, integrals, techniques of differentiation and integration, exponentials, improper integrals, applications. Students may take only one course for credit from MATH 110, 140, 140A, and 140B. Prerequisite: MATH 022 or satisfactory performance on the mathematics proficiency examination

Course Coverage
The goal for the course is to cover Chapters 2-6 from the text. Note that Chapter 1 is considered review material for the students.  Each student should confirm that they understand the material in Chapter 1 during the first week of the course.

Weighting of Course Events
 

Graded Event

Number of Points

Midterm 1

100

Midterm 2

100

In-Class Quizzes

100

Final Exam

150

Total

450

Exams
Two in-class examinations (midterms) will be given. The dates and times of these exams will be as follows:

        Midterm 1:  February 23, 2006, 6:30-7:45pm
        Midterm 2:  March 27, 2006, 6:30-7:45pm

Information on the locations of these exams will be distributed at a future date. 

NOTE: If you miss an exam without an official excuse (such as illness or official university business), then you may be allowed to take a makeup exam, but with an automatic 25% deduction from the grade. To avoid this deduction, you must notify your instructor with your official excuse and obtained his approved before the date and time of the exam.

Final Exam
The final examination in the course will be comprehensive.  It will be given during the university's final examination week, May 1-May 5, 2006.  Do not make plans to leave the university before the end of this week.  Travel plans do not constitute an official university excuse for missing an examination or for obtaining a conflict or makeup examination.  Hence, the above note regarding a 25% deduction will be enforced in the event that a student's travel plans conflict with the university's designated final examination period for this course.

In-Class Quizzes
Several short quizzes will be given throughout the course of the semester during the recitation hour. The quiz questions will be similar to the assigned homework problems and the reading done in preparation for class, which is a good motivation for you to complete the suggested homework problems noted below. The purpose of the quizzes is to encourage you to keep up with your preparation (and reward you for doing so).

Note that there will be no makeup quizzes for any reason. At least thirteen quizzes are planned for the semester (one per week).  A student's quiz grade will be determined by summing each student's highest ten quiz scores and dropping the remaining ones. Each quiz will be worth 10 points.

Suggested Homework
A list of suggested homework problems appears at the end of this syllabus. These homework problems will not be turned in for a grade. The purpose of doing the homework is to better understand the material discussed in the lectures and to prepare oneself for quizzes and exams, not to mention the goal of learning.

I encourage you to do all of the suggested homework, even though it will not be handed in. (As mentioned above, this will help tremendously for the quizzes and exams.) You may work together on these problems if you so desire.

I also encourage you to keep up with the suggested homework and not get behind because it may prove difficult to catch up. Much of this material builds upon previous material, so keeping up with the class will be quite beneficial.

Academic Integrity
Academic integrity is the pursuit of scholarly activity in an open, honest and responsible manner. Academic integrity is a basic guiding principle for all academic activity at The Pennsylvania State University, and all members of the University community are expected to act in accordance with this principle. Consistent with this expectation, the University's Code of Conduct states that all students should act with personal integrity, respect other students' dignity, rights and property, and help create and maintain an environment in which all can succeed through the fruits of their efforts.

Academic integrity includes a commitment not to engage in or tolerate acts of falsification, misrepresentation or deception. Such acts of dishonesty violate the fundamental ethical principles of the University community and compromise the worth of work completed by others.

Based on the University's Faculty Senate Policy 49-20, a range of academic sanctions may be taken against a student who engages in academic dishonesty.  Please see the Eberly College of Science Academic Integrity homepage for additional information and procedures.

Grading
Grades will be assigned using the scale shown in the following table.
 

Percent

Grade

90-100%

A

80-89%

B

70-79%

C

60-60%

D

0-59%

F

The instructor retains the right to raise a student's grade for demonstrated progressive improvement of their work. However, this grade raising will not occur often. Note also that these ranges may be adjusted downward and that plus and minus grades will be determined within the appropriate ranges; i.e., in general, the lowest three percentage points of a range will be minus and the highest three percentage points of a range will be plus.

Students often ask whether there will be a curve in this course.  The answer is "No."  The grading scale above is firm.

Class Attendance
Although regular classroom attendance will not figure into your grade in a tangible way, I strongly encourage your regular attendance in this class. It should be obvious that attending all classes is extremely beneficial to you. Seeing the material presented in a lecture is extremely helpful as the presentation will often be different than the text in order to clarify and enhance the reading assignments. Having questions answered in class (as well as hearing other students' questions) is also a benefit. Material not present in the text may be presented in class; you will be held accountable for this material on quizzes and exams. Finally, regular attendance demonstrates good stewardship of your time and money.

Calculator Usage
A graphics calculator is recommended, but any calculator that can compute "x to the power y" is sufficient. It may be used, as appropriate, in the lectures and homework, but will not be allowed on the two midterm and final examinations.

Obtaining Assistance
There are various avenues for obtaining assistance for this course:

Hopefully Helpful Hints

 

Final Comments
We hope your appreciation for mathematics will grow during this semester. Although the applications we cover are limited in scope, the application of mathematics extends to many areas of life.

Ping Xu
Department of Mathematics
Penn State University

Tentative Class Schedule (Lectures)
 

Day

Date

Material Covered

Other Information

M

1/9

Intro/Readiness Quiz

First Day of Classes

W

1/11

 2.1

 

F

1/13

 2.2

 

W

1/18

 2.3

 

F

1/20

 2.4

 

M

1/23

 2.4, 2.5

 

W

1/25

 2.5

 

F

1/27

2.6

 

M

1/30

 Review

 

W

2/1

 3.1

 

F

2/3

 3.1

 

M

2/6

 3.2

 

W

2/8

 3.3

 

F

2/10

 3.4

 

M

2/13

 3.5

 

W

2/15

 3.6

 

F

2/17

 3.7

 

M

2/20

Review

 

W

2/22

 Review

 

Th

2/23

 

 Evening Exam (Chapters 2 and 3)

F

2/24

 4.1

 

M

2/27

4.1

 

W

3/1

4.2

 

F

3/3    

4.2, 4.3

 

M

3/13

4.3

 

W

3/15

 4.3

 

F

3/17

 4.4

 

M

3/20

 4.4

 

W

3/22

4.5

 

F

3/24

 Review

 

M

3/27

 Review

 Evening Exam (Chapter  4)

W

3/29

 5.1

 

F

3/31

 5.2

 

M

4/3

5.3

 

W

4/5

 5.4

 

F

4/7

5.5

 

M

4/10

 5.6

 

W

4/12

6.1

 

F

4/14

 6.1, 6.2

 

M

4/17

 6.2

 

W

4/19

 6.3

 

F

4/21

 6.4

 

M

4/24

6.5

 

W

4/26

Review

 

F

4/28

Review

Last Day of Classes

 

As noted above, the university's final examination week for this semester is  May 1-May 5.  Do not plan to leave the university before the completion of this week.

Suggested Homework Problems
 

Section

Problems

1.1

1-89 odd

1.2

1-93 odd

1.3

1-33 odd

1.4

1-10, 11-45 odd

2.1

1-31 odd, 47-52, 57, 63, 71, 77

2.2

1-49 odd, 56-59

2.3

1-23 odd, 29, 49, 51, 53, 61, 63

2.4

1-8, 9-21 odd, 23-61 odd, 73-80, 89-94, 96, 97

2.5

1-18, 21-41 odd, 43-50, 51-71 odd, 82, 83, 86-89, 95-99

2.6

1-5 odd, 11-33 odd, 44-49, 56

3.1

1-47 odd, 55, 57

3.2

1-49 odd, 55, 63

3.3

1-61 odd, 71, 78-81

3.4

3-15 odd, 23-33 odd

3.5

1-33 odd, 36-39

3.6

1-33 odd, 39, 41, 49, 53, 55, 59, 61

3.7

1-28 odd,  36, 37

4.1

1-8, 11-35 odd, 36-43

4.2

 1-12, 17-41 odd, 45-73 odd, 79

4.3

 1-10, 11-27 odd, 37-43 odd, 49-59 odd, 61, 65

4.4

 1-8, 13-27 odd, 39, 41, 45

4.5

 1, 3, 5, 9, 10, 11, 15, 19, 21, 23

5.1

 1-25 odd

5.2

 1-25 odd, 33-47 odd, 48, 49

5.3

 1-13 odd, 17-23 odd

5.4

 1-47 odd

5.5

 1-55 odd

5.6

 1, 3, 7-13 odd, 17, 21 (use B=9)

6.1

 1-65 odd

6.2

 1-49 odd, 51, 53, 59, 61

6.3

 1, 5, 7, 13, 15, 17

6.4

 1-39 odd, 45, 47

6.5

 1-27 odd, 29-37 odd, 45, 49