MATH 110 - Techniques of Calculus I

Penn State University
  Spring Semester 2008

General Information

Professor James Hager
405 McAllister Building
(814) 863-9096
hager@math.psu.edu

Office Hours: TTH: 4:00-5:30
and By Appointment

Professor Ping Xu
329 McAllister Building
(814) 863-3517
ping@math.psu.edu

Office Hours: MF: 4:00-5:00




                

 

Textbook: Applied Calculus for the Managerial, Life, and Social Sciences, 7th Edition, by S.T. Tan (Brooks/Cole, 2007)

Note: Hardcopies, electronic copies, and electronic copies of individual chapters of the textbook and supporting materials are available for purchase at reduced cost by visiting the www.ichapters.com website.

Note:  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 evening examinations (midterms) will be given. The dates and times of these exams will be as follows:

        Midterm 1:  Thursday, February 28, 2008, 6:30 - 7:45 pm
        Midterm 2:  Wednesday, April 9, 2008, 6:30 - 7:45 pm

Information on the locations of these exams will be distributed at a future date. In addition, the math department schedules a conflict exam for each of the midterms from 5:05 - 6:20 on the same night as the regularly scheduled exam and a makeup exam scheduled on a TBDL evening different from the regularly scheduled exam night. Sign-up sheets for the conflict exam or the makeup exam will be available from your lecturers approximately one week before the exam. A valid conflict/makeup reason is required to sign up for either of these exams.

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 lecturer, with your official excuse, before the date and time of the exam. This notification may be performed in person, via e-mail, or by telephone.

Final Exam
The final examination in the course will be comprehensive.  It will be given during the university's final examination week, May 5-9, 20078.  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). Each quiz will consist of problems based on the materials presented during the previous week's lectures. Consequently, there is no quiz scheduled during the first week's recitation period.

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.

You are encouraged 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.

You are also encouraged 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

In addition, -/+ grades are allocated according to university guidelines.

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, you are strongly encouraged to regularly attend class. 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.

Classroom Protocol
Please turn off all cell phones and put away all electronic devices  (iPods, etc.) and materials not directly related to the course (e.g. newspapers). Since noises are greatly amplified in the lecture halls, it is important that non-essential conversations are minimized. Finally, if you must leave early, please notify your instructor at the beginning of class and sit near an exit to minimize disturbance.

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 in-class quizzes, two midterm and final examinations.

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

Hopefully Helpful Hints

 

Final Comments
It is our hope that 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.

Tentative Class Schedule (Lectures)
 

Day

Date

Material Covered

Other Information

M

1/14

Course Overview
Readiness Quiz

First Day of Classes

W

1/16

 2.1

 

F

1/18

 2.2

 

 

M


1/21

 

 Martin Luther
 King Day
 No Classes

W

1/23

 2.3

 

F

  1/25

 2.4

 

M

1/28

 2.5

 No Intermediate Value Theorem

W

1/30

 2.5

 

F

2/1

 2.6

 

M

2/4

 3.1

 

W

2/6

 3.1

 

F

2/8

 3.2

 

M

2/11

 3.3

 

W

2/13

 3.4

 

F

2/15

 3.5

 

M

2/18

 3.6

 

W

2/20

 3.6

 

F

2/22

 4.1

 

M

2/25

 4.1, 4.2

 

W

2/27

 Review

Exam 1
Thursday, 2/28
6:30-7:45

F

2/29

 4.2

 

M

3/3

 4.3

 

W

3/5

 4.4

 

F

3/7

 4.5

 

 

 

 

 Spring Break
 No Classes
 3/10 - 3/14

M

3/17

 5.1

 

W

3/19

 5.2

 

F

3/21

 5.3

 

M

3/24

 5.3

 

W

3/26

 5.4

 

F

3/28

 5.5

 

M

3/31

 5.6

 

W

4/2

 5.6

 

F

4/4

 Review

 

M

4/7

 Review

 

W

4/9

 6.1

 Exam 2
Wednesday, 4/9
6:30-7:45

F

4/11

 6.2

 Late Drop Deadline

M

4/14

 6.2

 

W

4/16

 6.3

 

F

4/18

 6.4

 

M

4/21

 6.5

 

W

4/23

 6.5

 

 

  F

   
   4/25


   6.6

 

 

 M


  4/28


  6.6

 

W

4/30

 Review

 

F

5/2

 Review

Last Day of Classes

 

 

 

 

As noted above, the university's final examination week for this semester is May 5-9, 2008.  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

1-13 odd, 21-33 odd, 49-55

2.2

1-23 odd, 25-34, 47, 51. 52

2.3

1-7 odd, 9-14, 51, 53, 56, 66, 67, 74, 75, 78

2.4

1-8, 17-22, 23-39 odd, 49-62, 73-80

2.5

1-6, 9-14, 21-35 odd, 39, 44, 51, 52

2.6

9-21 odd, 30, 34-36, 45-50

3.1

1-36 odd, 37, 38. 41-46

3.2

1-29 odd, 35-41 odd, 46

3.3

1-53 odd, 61-64

3.4

3-17 odd, 23-33 odd

3.5

1-14 odd, 30

3.6

1-17 odd, 31, 33, 41, 42, 56, 59, 60, 61

4.1

1-8, 11-33 odd, 35-41, 43-46, 47-63 odd

4.2

 1-12, 21-67 odd

4.3

 1-10, 11-27 odd, 37-43 odd, 49-53, 56, 62

4.4

 1-8, 9-27 odd, 40, 42, 46-51

4.5

 1, 3, 4, 5, 6, 7, 8, 10, 12, 28

5.1

 1-25 odd

5.2

 1-27 odd, 35-42 odd, 54

5.3

 1-23 odd

5.4

 1-45 odd, 46, 60, 61

5.5

 1-55 odd

5.6

 7-13 odd, 19, 23

6.1

 1-57 odd, 67, 68

6.2

 1-43 odd, 51

6.3

 5, 7, 13, 15

6.4

 1-39 odd, 41-43

6.5

 1-27 odd, 29-37 odd, 53

6.6

 1-37 odd

 

 

 =========================================================================================

Course Announcements

Monday January 14, 2008

A practice exam for the Thursday, 28 February 2008, Math 110 Midterm 1 can be found at the following link:

              Practice Math 110 Midterm 1

      
A practice exam for the Wednesday, 08 November 2008, Math 110 Midterm 2 can be found at the following link:

                   Practice Math 110 Midterm 2  

 A practice exam for the Math 110 Final can be found at the following link:

             Practice Math 110 Final

 
Room locations for each of the exams will be posted as they become available.

Note: Students should understand the suggested homework problems from the relevant sections . They may also wish to study similar problems which appear in the corresponding chapter review(s)  but students should understand that the exam for this semester is not based strictly on the previous exams.
------------------------------------------------------------------------------------------------


The answer key for the Midterm I Practice Exam is:

1.C      2.B      3.C      4.D      5.A      6.A      7.B      8.D      9.A      10.D

11.C      12.C      13.B      14.B      15.D      16.C      17.A      18.D      19.A      20.B

------------------------------------------------------------------------------------------------
 
The answer key for the Midterm 2 Practice Exam is:

1.C      2.C      3.A      4.C      5.C      6.D      7.D      8.D      9.D      10.C

11.C      12.B      13.C      14.B      15.D      16.B      17.C      18.A      19.C      20.B

=========================================================================================

Friday January 18, 2008

Equivalent recommended homework assignments for those students using the 6th edition of the textbook.
 

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

1-33 odd, 49-55, 57, 63, 75, 78

2.2

1-51 odd, 56-59

2.3

1-23 odd, 28, 46, 49, 51, 53, 61, 63

2.4

1-8, 17-67 odd, 73-80, 89-94

2.5

1-20, 21-41 odd, 43-50, 51-71 odd, 82, 83, 86-89

2.6

1-5 odd, 9-35 odd, 45-50, 55

3.1

1-49 odd, 55, 57

3.2

1-47 odd, 55, 56

3.3

1-63 odd, 72, 79-81

3.4

3-15 odd, 23-33 odd (No Elasticity of Demand)

3.5

1-31 odd, 37-38

3.6

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

4.1

1-8, 11-35 odd, 36-48, 49-71 odd, 79

4.2

 1-12, 17-73 odd

4.3

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

4.4

 1-8, 9-27 odd, 39, 41, 45

4.5

 1, 3, 5, 9, 10, 11, 15, 19, 21, 23

5.1

 1-25 odd

5.2

 1-27 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, 19, 23 (use B=9)

6.1

 1-65 odd

6.2

 1-49 odd, 51, 53, 59, 61, 63

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

6.6

 1-39 odd

 

 

 =========================================================================================

=========================================================================================

 Monday January 21, 2008


Answer keys for the take-home Readiness Test are:

Form A
 1) c. 2) b. 3) d. 4) a. 5) d. 6) d. 7) c. 8) c. 9) b. 10) c.

Form B
 1) c. 2) c. 3) b. 4) c. 5) c. 6) b. 7) c. 8) a. 9) d. 10) d.

-------------------------------------------------------------------------------------------------------------------------------------------------

February 18, 2008

Specific room assignments for Math 110 Midterm I, scheduled for Thursday, February 28, from 6:30 - 7:45, can be found by following Evening Exam Schedule

Midterm 1 will consist of 20 multiple choice-type problems selected uniformly from the materials contained in sections 2.1 - 3.6. No Elasticity of Demand or Intermediate Value Theorem problems will be included on the exam. Students should bring a number 2 pencil and their student IDs to the exam and be prepared to present their IDs to the proctors upon completion of the exam. No calculators will be permitted during the exam. Students should arrive 15 minutes before the scheduled exam time and take a seat that allows for one empty desk to their left and their right. Any student sitting directly next to another student will be asked to move.


For those who have a conflict with the midterm exam date and time (e.g., you have another class at the same time), our department offers two other opportunities to take each midterm.  

1.   On the same night as each midterm, we offer a conflict exam.  This is the same exam that is taken during the regular exam period, but it is offered 5:05 - 6:20pm.  You must sign up with your lecturer for the conflict exam at least 48 hours prior to its date in order to take this exam.  The location for the Conflict Exam is 101 Thomas Building. 

2.   For those who cannot take either the regular midterm or the conflict midterm mentioned above, we offer a makeup exam opportunity as well. The date of Makeup Midterm 1 is Monday, March 3, 2008, from 6:30-7:45.  The location for the Conflict Exam is 26 Hosler Building. You must sign up for the makeup exam at least 48 hours prior to its date in order to take this exam.  Note that such a makeup exam opportunity is not allowed without a valid and verifiable excuse for not taking the regular midterm or conflict exams.


The answer key for the Midterm I Practice Exam is:

1.C      2.B      3.C      4.D      5.A      6.A      7.B      8.D      9.A      10.D

11.C      12.C      13.B      14.B      15.D      16.C      17.A      18.D      19.A      20.B
------------------------------------------------------------------------------------------------------------------------------March24, 2008

Specific room assignments for Math 110 Midterm 2, scheduled for Wednesday, April 9, from 6:30 - 7:45, can be found by following Evening Exam Schedule


Note: Be sure to look at the Date 2 and Location 2 columns to find the correct room and building assignments.

Midterm 2 will consist of 20 multiple choice-type problems selected uniformly from the materials contained in sections 4.1-5.6.  No Effective Interest Rate problems will be included on the exam.  Additionally, applications of the exponential function will be restricted to: 1) Continuous Interest, 2) Radioactive Decay, and 3) Population Growth Models (No Logistical Growth applications will be included on the exam)

Students should bring a number 2 pencil and their student IDs to the exam and be prepared to present their IDs to the proctors upon completion of the exam. No calculators will be permitted during the exam. Students should arrive 15 minutes before the scheduled exam time and take a seat that allows for one empty desk to their left and their right. Any student sitting directly next to another student will be asked to move.


For those who have a conflict with the midterm exam date and time (e.g., you have another class at the same time), our department offers two other opportunities to take each midterm.  

1.   On the same night as the midterm, we offer a conflict exam.  This is the same exam that is taken during the regular exam period, but it is offered 5:05 - 6:20pm.  You must sign up for the conflict exam at least 48 hours prior to its date with your lecturer in order to take this exam.   

2.   For those who cannot take either the regular midterm or the conflict midterm mentioned above, we offer a makeup exam opportunity as well. The date of Makeup Midterm 2 is Thursday, April 10, 2008, from 6:30-7:45.  You must sign up for the makeup exam with your lecturer at least 48 hours prior to its date in order to take this exam.  Note that such a makeup exam opportunity is not allowed without a valid and verifiable excuse for not taking the regular midterm or conflict exams.


The answer key for the Midterm 2 Practice Exam is:

1.C      2.C      3.A      4.C      5.C      6.D      7.D      8.D      9.D      10.C

11.C      12.B      13.C      14.B      15.D      16.B      17.C      18.A      19.C      20.B

------------------------------------------------------------------------------------------------------------------------------

 

April 23, 2008

 

The Math 110 Final Exam is scheduled on Wednesday, May 7, from 4:40 - 6:30. The evening exam schedule and room assignments for the MATH 110 Final Exam can be found at

              Final Exam Schedule

The Final Exam will consist of 25 multiple choice-type problems selected uniformly from the materials contained in Chapter 2-6.

Additional study guidance on the specific topics potentially included on this exam:

    - no Intermediate Value Theorem problems on the exam (section 2.5)
    - no Elasticity of Demand problems on the exam (section 3.4)
    - no Effective Interest Rate problems on the exam (section 5.3)
    - Exponential function applications will be restricted to:
       * Continuous Interest (section 5.3)
       * Radioactive Decay (section 5.6)
       * Population Growth (section 5.6) - No Logistical Growth type population problems are
          included on the exam.
    - No questions from section 6.3 Areas and the Definite Integral

The Conflict Exam is scheduled according to University guidelines and any students officially on the Conflict list has been notified by email about contacting their instructor to arrange a specific time. There is no Makeup Exam scheduled.


Students should bring a number 2 pencil and their student IDs to the exam and be prepared to present their IDs to the proctors upon completion of the exam. No calculators will be permitted during the exam. Students should arrive 15 minutes before the scheduled exam time and take a seat that allows for one empty desk to their left and their right. Any student sitting directly next to another student will be asked to move.