Tools

MATH 121 Section 022: Calculus & Applications

Fall 2009

3 Credit Hours
Primary Instructor: Jamie Stanley
Core Designation: Mathematics

Prerequisites

From the Student Records System
  • MATH 112 (undergrad) with a minimum grade of C-
  • Or
  • MATH 115 (undergrad) with a minimum grade of C-
  • Or
  • UA Placement Mathematics with a minimum score of 440
  • Or
  • ACT Mathematics with a minimum score of 29
  • Or
  • SAT Mathematics with a minimum score of 640

Course Description

 
 

 

COURSE DESCRIPTION AND OBJECTIVES:  This course is intended to give a broad overview of Calculus and is taken  primarily by students majoring in Commerce and Business Administration.  Upon completion of this course, students will be able to:  differentiate and integrate algebraic, exponential, logarithmic, and multivariable functions; find the area between two curves; apply the concepts to graphing functions as well as applications pertaining to business and economics.  This course does not provide sufficient background for students who will need higher levels of Calculus.

Student Learning Outcomes

 

 

GENERAL LEARNING OUTCOMES FOR 100-200 LEVEL COURSES:

  • Students will be able to discriminate between reliable and less reliable information in their decision-making.
  • Students will develop effective mathematical communication skills.

 

LEARNING OUTCOMES FOR THIS COURSE:

  • Students will be able to differentiate and integrate algebraic, exponential, logarithmic, and multivariable functions.
  • Students will be able to analyze graphs to determine where the graphs are increasing, decreasing, continuous, and to determine the limits of functions.
  • Students will be able to classify values as the minimum or maximum values of functions.
  • Students will be able to calculate the area between two curves.
  • Students will be able to apply the methods taught in this course to real-life business applications.

 

 

 

Outline of Topics

 

Test 1 Material: Test 1 is on Wednesday 9/16

Date

Section

Title

Completion Deadline

8/20

 

ORIENTATION

Wednesday 8/26 by 8:00am

Initial Skills Assessment

8/25

2.5

Logarithmic Functions

Thursday 8/27 by 8:00am

 

 

Syllabus Quiz---must be taken in the MTLC

Thursday 8/27 by 8:00 am

8/27

3.1

Limits

Tuesday 9/1 by 8:00am

9/1

3.2

Continuity

Thursday 9/3 by 8:00 am

3.3

Rates of Change(average rate)

Tuesday 9/8 by 8:00 am

9/3

3.3

Rates of Change

Tuesday 9/8 by 8:00 am

3.4

Definition of Derivative

Tuesday 9/8 by 8:00 am

9/8

4.1

Techniques for Finding Derivatives

Thursday 9/10 by 8:00 am

 

 

Test Rules Quiz

Thursday 9/10 by 8:00am

9/10

4.2

Derivatives of Products and Quotients

Tuesday 9/15 by 8:00am

9/15

 

Test 1 Review

 

 

Test 2 Material: Test 2 is on  Monday 10/5, Tuesday 10/6, or Wednesday 10/7

Date

Section

Title

Completion Deadline

9/17

4.3

The Chain Rule

Tuesday 9/22 by 8:00 am

9/22

4.4

Derivatives of Exponential Functions

Thursday 9/24 by 8:00 am

4.5

Derivatives of Logarithmic Functions

Thursday 9/24 by 8:00 am

9/24

5.1

Increasing and Decreasing Functions

Tuesday 9/29 by 8:00am

9/29

5.2

Relative Extrema

Thursday 10/1 by 8:00am

5.3

Higher Derivatives

Tuesday 10/6 by 8:00 am

10/1

5.3

Higher Derivatives; Concavity, and the Second Derivative Test

Tuesday 10/6 by 8:00 am

10/6

 

Test 2 Review

 

 

Test 3 Material: Test 3 is on Wednesday 10/28

Date

Section

Title

Completion Deadline

10/13

6.1

Absolute Extrema

Thursday 10/15 by 8:00 am

6.2

Applications of Extrema

Thursday 10/15 by 8:00 am

10/15

6.4

Implicit Differentiation

Tuesday 10/20 by 8:00 am

6.6

Differentials: Linear Approximation

Tuesday 10/20 by 8:00 am

10/20

7.1

Antiderivatives

Thursday 10/22 by 8:00 am

10/22

7.2

Substitution

Tuesday 10/27 by 8:00 am

10/27

 

Test 3 Review

 

 

Test 4 Material: Test 4 is on Wednesday 11/18

Date

Section

Title

Completion Deadline

10/29

7.3

Area and the Definite Integral

Tuesday 11/3 by 8:00 am

11/3

    7.4

The Fundamental Theorem of Calculus

Thursday 11/5 by 8:00 am

    7.5

The Area Between Two Curves

Tuesday 11/10 by 8:00 am

11/5

    7.5

The Area Between Two Curves

Tuesday 11/10 by 8:00 am

    9.1

Functions of Several Variables

Tuesday 11/10 by 8:00 am

11/10

    9.2

Partial Derivatives

Thursday 11/12 by 8:00 am

11/12

9.3

Maxima and Minima

Tuesday 11/17 by 8:00 am

11/17

 

Test 4 Review

 

 

 

 
 

 

 

Review for Final Exam

 

Date

Section

Title

Completion Deadline

11/19

9.4

Lagrange Multipliers

Tuesday 11/24 by 8:00 am

11/24

 

Review section 9.4

 

12/1 & 12/3

 

Review for Final Exam

 

 

 

Last day for help in the lab is Sunday Dec. 6

 

 

 

Final Exam is in the week of December 7-11

 
 

 

Exams and Assignments

 

TEST DEADLINES:                                                                                                                                REGISTRATION WEEK:

 

Test 1   Wednesday                                 September 16                                8am Friday 9/4 - 5pm Friday 9/11

Test 2:   Monday, Tuesday, Wednesday  October 5, 6, 7                               8am Friday 9/25 - 5pm Friday 10/2

Test 3:   Wednesday                                 October 28                                   8am Friday 10/16 - 5pm Friday 10/23

Test 4:   Wednesday                                 November 18                               8am Friday 11/6 - 5pm Friday 11/13

Final Exam Week:  Monday - Friday          December 7 - 11                          8am Friday 11/27 – 5pm Friday 12/4

 

Test times available:  Times to be announced in class and through email.

Final Exam times available: 8 am, 11:30 am, 3:30 pm, 7pm   (all times may not be available each day)

Please read Test Rules of this syllabus for detailed information on test reservation and test taking procedures.

 

Grading Policy

 

GGRADE: The course grading is under the “A, B, C, D, or F” policy, +/- grades will be given.  The final grade will be based on your total points for the semester. Your total points will be a number between 0 and 1004 determined by the following

 

 4 Tests                         400 points (100 points each)                                                      COURSE GRADE SCALE

 Final Exam                   300 points                                                   

 Quizzes                       172 points (43 points each test period      A+  980 – 1004, A   920 – 979,    A-   900 – 919

 Homework                     88 points (22 points each test period)     B+    880 – 899,  B   820 – 879,  B-   800 – 819

 Class Participation        42 points (1.5 points for each class)       C+    780 – 799,  C   720 – 779,  C-   700 – 719

 Survey                              2 points                                                D+    670 – 699,     D   600-669, F    <600            

 Total                            1004 points 

 

 

Policy on Missed Exams & Coursework

 

REPLACEMENT POLICY:  Everyone will be allowed to replace the lowest test grade with the grade made on the final exam. However, zeros due to an unexcused absence or academic misconduct will not be replaced.  Students who miss a test but have an excuse must turn in a petition request form, with excuse and supporting documents attached, at the math department office (345 Gordon Palmer) within two days of missed work.  The missed test will be replaced if the petition request panel approves the excuse. 

MAKE-UP POLICY:  If homework or quizzes are missed due to a serious, verifiable circumstance, then make-up work may be allowed. Any student requesting to make up work must fill out a petition request form in 345 Gordon Palmer with an excuse and supporting documents attached.  If a test is missed due to a serious verifiable circumstance, the zero test grade will be replaced with the final exam grade (see Replacement Policy).  Students who miss work due to official University business must make other arrangements beforehand.

Attendance Policy

 

                                                               

ATTENDANCE: Attendance for this course is mandatory.  You are expected to attend all of your scheduled classes. Class meets each Tuesday and Thursday unless noted.  Each class counts 1.5 points toward your class participation grade.  Each class will consist of a lecture for the material assigned. The MTLC in B1 Tutwiler is available for you to do homework and quizzes

Required Texts

UA Supply Store Textbook Information

  • LIAL / APPLIED CALCULUS w/MYLABSPLUS eCOLLEGE KIT
    (Choose One)
  • NONE (DIGITAL BOOK) / MYLABSPLUS eCOLLEGE ACCESS KIT
    (Choose One)

Other Course Materials

 

MTLC INFORMATION:  

HOURS:     Sunday           4:00 pm – 10:00pm                        MTLC phone:  348-2592    

      Mon. – Thurs.  8:00 am – 10:00pm                       MTLC website: www.mtlc.ua.edu

      Friday          8:00 am – 5:00 pm                             MTLC Location: B1 Tutwiler

 

 

MTLC CLOSINGS:  The lab will be closed on Sunday 9/6 and Monday 9/7 for Labor Day.  The lab will close for Fall Break on Wednesday 10/7 at10pm and re-open at 8am Monday 10/12.  The lab will close for Thanksgiving on Tuesday 11/24 at 5pm and re-open at 8am Monday 11/30.  The lab will be open during final exam week for testing only.  Last day for help in the MTLC will be Sunday 12/6.

 

WITHDRAW:   Wednesday, March 25 is the last day to withdraw from this class with a W. No drops will be allowed after this date.  After this date you will be assigned a grade based according to your total points based on the scale above.

 

ACKNOWLEDGEMENT FORM: Every student must submit an acknowledgement form, found in the software, acknowledging that he or she has read the syllabus and understands all the policies for this course.  No one will be allowed to complete any assignments until this form has been completed.

 

EMAIL REQUIREMENT:  All correspondence for this course will be made through your crimson email account.  If you do not yet have a crimson account, then you can get one activated at the Seebeck help desk located in 125 Gordon Palmer.  You can reach your instructor by emailing your instructor at ma121mtl@bama.ua.edu.  Please put your instructor’s name in the subject box.  Replies to automated emails cannot be answered.

 

WORKING FROM HOME:  The Math 121 course work can be done on your personal computer.  However, there is a risk when working outside the MTLC.  Internet access is required in order to reach the website where the notes, homework, and exercises are found.  The website is http://mylabsplus.com. If this page ever fails to load, try typing the website rather than choosing it from the dropdown menu. There are plugins to be downloaded in order for a successful operation from home.  To get these, you will login to the website with your own personal login and password as given by the MTLC.  Next, click on your course section.  Select the INSTALLATION WIZARD from the link that appears on the screen on the right. Then follow the instructions on the screen. Students doing graded work from home risk grades not being properly saved.  If scores are not successfully sent from home and the deadline passes, you will NOT be able to make up the work.  Tests must be taken in the MTLC.

 

MTLC RULES

1.       The MTLC is a math classroom. Please be quiet during your visit to the MTLC.

2.       The monitor will swipe your ACT card when you enter the MTLC and swipe it when you leave, even for a short break. Do not present an ACT card other than your own. Violators will be charged with academic misconduct and reported to the dean’s office.

3.       Cell phones, food, drinks (including water), tobacco products, and companions are NOT allowed in the Center. A cell phone violation will cause your cell phone to be detained until you leave the MTLC.   Your cell phone needs to be out of sight and turned off.

4.       Other than mathematics, no activities such as talking, surfing the Internet, playing computer games, typing a paper, sleeping, etc. is allowed in the MTLC, you will be asked to leave the MTLC.

5.       The use of a computer in the MTLC is on a first-come first-serve basis; no reservation can be made for normal course work. (Reservations are required for tests.  See Test Rules above.)

6.       Take notes.  Record each homework score and each quiz score in your notebook.

7.       Please do not hesitate to ask questions in the MTLC.  Staff members in the MTLC are there to help you.

 

 

TEST RULES:  Tests must be taken in the MTLC.

1.       There are four 75-minute tests and a 150-minute comprehensive final exam. Test dates are listed on the front page of the syllabus.

2.       You may take your tests early:  “Early” means before the close of online registration for that exam.  No registration is needed and no penalties will apply for early tests.  However, no tests will be given at all on Sundays. You may not begin a test if the MTLC is scheduled to close before the end of your full allotted time: usually you must begin by 8pm (7pm for a final exam), or on Fridays by 3pm (2pm for a final exam).

3.       You must reserve a time in order to take an exam on a test deadline day.  Test weeks are a logistical challenge; you must tell MTLC when you will come, and you must do what you say. The front page of the syllabus lists beginning and ending dates/times for online registration for each exam.  To register online, go to the MTLC website (www.mtlc.ua.edu), select link Test Registration, log in as instructed, select link Register, then choose an available date and time.  You may freely cancel or change your test time while online registration is active.  Be sure to verify your registration: log back in to the test registration site or check your confirmation email message.

4.       After online registration closes (at 5pm on Friday before the deadline week), you must come in person to the MTLC to register or to change your test time.  You must sign up manually with the instructor on duty; no phone calls or email arrangements can be accepted.  In this case, points will be deducted from your test grade as follows:

10 points if you did not register online

5 points if you change your test time after online registration closes but before your scheduled test time

10 points if you miss your test time and reschedule, or if no open seats remain when you come to register

These penalties are CUMULATIVE.  You may fill out a petition request form to have the penalty waived if you have a valid excuse.

5.       If you miss a test and your course’s testing period has NOT ended, come to the MTLC to reschedule.  If the testing period is over, see REPLACEMENT POLICY above.

6.       Arrive on time for your test.  Tardiness will cost you working time on the test.  Bring your ID and pencils with you.  Swipe your ACT card at the MTLC entrance and then follow signs to the back hallway.  Staff will check your ID and give you a personalized test paper (which is your initial scratch paper), then direct you to your seat.

7.       Absolutely NO ELECTRONIC DEVICES may be active in the testing area.  All cell phones, texting devices, iPods, MP3 players, etc must be turned off and put away before you pick up your test paper.  Use of any electronic device during a test will be treated as academic misconduct. 

8.       Place all belongings on the floor.  Once you enter the testing area, all review material must be put away. As soon as you are seated, you may begin your exam.  The MTLC will give you additional scratch paper as needed; no other paper is allowed. When you are finished, staff will collect all papers. Warning: do NOT touch the browser’s BACK button, your test will close and you will have to start over.

9.       ONLY THE CALCULATOR ON THE COMPUTER MAY BE USED ON TESTS.  The only webpage that may be opened during a test is the testing page.  Opening any other website during testing will be treated as academic misconduct.

10.    An MTLC staff member must be present when your test is submitted for a grade: if it does not store correctly it is at risk for getting LOST.

11.    You will be allowed to review your test before you leave the lab.  You may not write down any information pertaining to test questions to take with you when you leave the MTLC after an exam.  You may not share any test information with anyone who hasn’t taken the test.  Violators will be charged with academic misconduct.

 

MATH SOFTWARE LOGIN INFORMATION:  (The MTLC sets up the login information for each student.  If you cannot login with this following information, then please come to the MTLC for assistance.)

Website:  http://www.mylabsplus.com

                 username:  your crimson email address          example:  jksmith@crimson.ua.edu

 password:       personal CWID                             example:  12345678

               NOTE:  You will find your current course under the Alabama Fall 2009 Term

Policy on Academic Misconduct

All students in attendance at the University of Alabama are expected to be honorable and to observe standards of conduct appropriate to a community of scholars. The University expects from its students a higher standard of conduct than the minimum required to avoid discipline. Academic misconduct includes all acts of dishonesty in any academically related matter and any knowing or intentional help or attempt to help, or conspiracy to help, another student.

The Academic Misconduct Disciplinary Policy will be followed in the event of academic misconduct.

Disability Statement

If you are registered with the Office of Disability Services, please make an appointment with me as soon as possible to discuss any course accommodations that may be necessary. If you have a disability, but have not contacted the Office of Disability Services, please call 348-4285 or visit 133-B Martha Parham Hall East to register for services. Students who may need course adaptations because of a disability are welcome to make an appointment to see me during office hours. Students with disabilities must be registered with the Office of Disability Services, 133-B Martha Parham Hall East, before receiving academic adjustments.

Severe Weather Protocol

In the case of a tornado warning (tornado has been sighted or detected by radar, sirens activated), all university activities are automatically suspended, including all classes and laboratories. If you are in a building, please move immediately to the lowest level and toward the center of the building away from windows (interior classrooms, offices, or corridors) and remain there until the tornado warning has expired. Classes in session when the tornado warning is issued can resume immediately after the warning has expired at the discretion of the instructor. Classes that have not yet begun will resume 30 minutes after the tornado warning has expired provided at least half of the class period remains.

UA is a residential campus with many students living on or near campus. In general classes will remain in session until the National Weather Service issues safety warnings for the city of Tuscaloosa. Clearly, some students and faculty commute from adjacent counties. These counties may experience weather related problems not encountered in Tuscaloosa. Individuals should follow the advice of the National Weather Service for that area taking the necessary precautions to ensure personal safety. Whenever the National Weather Service and the Emergency Management Agency issue a warning, people in the path of the storm (tornado or severe thunderstorm) should take immediate life saving actions.

When West Alabama is under a severe weather advisory, conditions can change rapidly. It is imperative to get to where you can receive information from the National Weather Service and to follow the instructions provided. Personal safety should dictate the actions that faculty, staff and students take. The Office of Public Relations will disseminate the latest information regarding conditions on campus in the following ways:

  • Weather advisory posted on the UA homepage
  • Weather advisory sent out through Connect-ED--faculty, staff and students (sign up at myBama)
  • Weather advisory broadcast over WVUA at 90.7 FM
  • Weather advisory broadcast over Alabama Public Radio (WUAL) at 91.5 FM
  • Weather advisories are broadcast via WUOA/WVUA-TV, which can be viewed across Central Alabama. Also, visit wvuatv.com for up-to-the-minute weather information. A mobile Web site is also available for your convenience.