MAT 118 Calculus for Business and Social Science

 

Spring 2010

 

Course ID

Room

Unit

Days

Start Time

End Time

MAT 118

E100

5

T,Th

3:30 PM

5:55PM

 

INSTRUCTOR:                     Helen Shen

 

PHONE:                                 530-541-4660, Extension 364

 

E-MAIL:                                shen@ltcc.edu

 

OFFICE HOURS:                 Room A204

                                                Mon. & Wed.    12:40 – 2:10 PM

                                                Tues. & Thurs.  2:30 – 3:30 PM                      

 

LTCC MATH PAGE:           http://www.ltcc.edu/academics.asp?scatID=5&catID=34

 

REQUIRED TEXT:              Applied Calculus, 5e, by Berresford and Rockett

 

RECOMMENDED TEXT:  Student Solutions Manual, 5e, by Berresford, Houghton Mifflin Company

 

COUSE DESCRIPTION:    This is a calculus course for students who intend on majoring in business, social science, or for students who have a general interest in calculus and its application. Topics covered include functions, limits, differentiation, integration, and partial derivatives.

 

PREREQUISITE:                A grade of C or better in Math 154A, Math 154AA, or equivalent; or a satisfactory score on Mathematics Assessment Test.

 

CALCULATOR:                  You will need a graphing calculator for this course. TI-84 or TI-89 is recommended. You can rent them from the library.

 

STUDENT LEARNING      1. Evaluate limits, derivatives, and integrals for both single variable and

OUTCOMES:                            multivariable functions.

                                                2. Apply the integral and derivative to analyze functions that arise from business and social science applications.

                                                3. Solve differential equations that arise from business and social science applications.

                                                4. Apply analytic geometry to analyze curves and surfaces.

 

GRADING POLICY:           Method of Student Evaluation

Homework (29 sections at 6 points each)                      174 points

Quizzes (15 at 2 points each)                                         30 points

Exams (Three at 100 points each)                                 300 points

Final (Covers entire course content)                              150 points                   

 

Your letter grade will be based on your percentage of the 654 possible points.

             A        90-100%        

             B         80-89%          

             C        70-79%                                  

             D        60-69%

                     less than 60%

 

CHECKING YOUR             To retrieve your grade information online, follow these steps:

GRADE ONLINE:                Ø   www.gradesource.com

Ø   student reports

Ø   Instructor Name: Shen

Ø   Click on your class: Math 118

Ø   Your secret number is on your Quiz #1

 

                                                I will drop a student from the class if the student misses four classes or more and is unable to keep up with the learning.

 

EXAM POLICY:                  Grading will be based on progress towards the final answer, and the demonstration of understanding of the concept that is being tested. The more you show me with steps and detail, the better your chances for partial credit.  You provide me the communication and detail in your answers; and I will give you the best grade I can based on that communication and answer. You can use one page of notes, front and back, for quizzes, exams and the final.

 

MAKE-UP POLICY:           For Chapter Exams, and the Final, make-up is possible if the instructor is contacted in advance and the absence is excuse; there is a 10% penalty if the absence is not excused. The make-up test needs to be taken before the next class. 

 

The first five minutes of each class, there will be a quiz that covers the main point from the previous lecture. Quizzes cannot be made up; however, the quiz with the lowest score will be dropped.

 

For Homework, you must show your work to get credit, half credit for

completion and half credit for selected problems. Homework will be accepted late up to one week after it is assigned for half credit. You can turn in your homework early if you know you are going to miss the class. You can consult a classmate, a tutor, your instructor, or anyone for assistance on the homework.

 

COMMUNICATION           You can communicate with me either by coming to class or office hours, sending

POLICY:                                an e-mail, or calling on the phone. I will respond to your e-mails in a timely

                                                manner, and I will do my best to return your calls (you need to make sure to leave your number clearly). If you miss the class, it is your responsibility to pick up the class handouts or obtain the information either from your classmates or from me during the office hours.

 

I have students work together to help each other. Please feel free to ask me directly if you like to work with me one-on-one.

 

·        Please come see me if you do not understand my policies.

·        Since English is my secondary language, please be sure to ask me if you have any difficulty to understand math due to my accent. I will be happy to clarify.

 

LEARNING                           If you have a learning disability, be sure to discuss your special needs with me

DISABILITIES:                    during the first week of class. Learning disabilities will be accommodated.

 

TUTORING:                         Tutoring is available in the Math Success Center (MSC) in Room A201.

                                                Students will earn 0.5 point toward the total grade for every 10 hours in MSC or DRC. However, if any student misses two or more classes, no lab credit will be granted.

 

HOW TO SUCCEED           1) Read your textbook before class.

IN A MATH CLASS:           2) Choose to attend all class periods and be on time.

3)  Exchange names and phone number with classmates.

4)  Learn from your mistakes and be patient with yourself.

5)  Don’t be afraid of asking questions.

6)  Know how to get help if you need it.

7)  Organize your class materials.

8)  Do your homework.

9)  Check your work.

10) Hand in assignments on time.

 

 

ACADEMIC DISHONESTY (CHEATING):  Academic dishonesty of any form will not be tolerated. Students caught cheating on exams or quizzes will receive a score of zero on the assignment for the first offense and a course grade of F for the second offense.

 

Cheating will be defined as but not limited to: (1) using any method to copy another’s work on an exam, quiz, or final (2) directly copying another student’s homework assignment (3) using any method other than your own honest efforts to complete exams, quizzes, the final, or homework assignments.

The following activities are NOT cheating: (1) collaborating with other students to complete homework assignments (2) working with math tutors or academic coaches to complete homework assignments (3) working with other students to study for exams, quizzes or the final.

 

FINANCIAL ASSISTANCE:     If you need help paying for your books or other expenses, call our financial aid officer, America Ramirez, at 541-4660 x236, email her at Ramirez@ltcc.edu, or drop by A100.

 

 

 

 


Tentative Lecture Schedule for Math 118

 

Be sure to use class time, office hours, and the MSC to get all of your questions answered.

For your homework, make sure you separate each section on the different pages and separate each problem on the different lines. There will be one point deduction for each section if the grader cannot read your answers.

 

EOO means Every Other Odd (i.e. #1, 5, 9, 13...)

 

Date

Section  

Topic  

Homework

 

T 4/6

 

 

1.3

1.4

 

Introductions, Discussion of Syllabus

Functions

Functions, continued

 

 

1-33 EOO, 65, 67, 69, (73,) 76, 79

1-13 EOO, 31-45 Odd, 49-55 Odd, 63, 65, 72, 74, 81, 85, (87)

Turn in Homework #1 (Sections 1.3-1.4)

next class

 

Th 4/8

 

2.1

2.2

 

Limits and Continuity

Rates of Changes, Slopes, and Derivatives

 

 

1-41 (skip 9) EOO, 81

 

Turn in Homework #2 (Sections 2.1)

next class

 

T 4/13

 

2.2

2.3

 

Finish Section 2.2

Some Differentiation Formulas

 

1-37 EOO, 55, 59

1-25 EOO, 31, 33, 45, 47, (50,) 56, (60)

Turn in Homework #3 (Sections 2.2-2.3)

next class

 

Th 4/15

 

2.4

2.5

 

The Product and Quotient Rules

Higher-Order Derivatives

 

1-25 EOO, 59, 60, 61, 62, 65, 66, (67)

1a), b), 5a), b), 9a), 13, 15, 17, 21, 33, (40,) 41, 42, 44, (46), 54

Turn in Homework #4 (Sections 2.4-2.5)

next class

 

T 4/20

 

2.6

2.7

 

 

The Chain Rule and the Generalized Power Rule

Nondifferentiable Functions

 

 

1-41 EOO, 53, 58, (59, 62,) 63

1, 5, 9, 15

Turn in Homework #5 (Sections 2.6-2.7)

next class

 

Th 4/22

 

3.1

 

 

Graphing Using the First Derivative

Review for Exam 1

 

1-4 all, 11, 13, 17, 33, (65,) 71

Turn in Homework #6 (Sections 3.1) on Apr. 29

 

T 4/27

 

 

Exam 1 (Section 2.1~2.7)

 

 

Th 4/29

 

3.2

3.3

 

Graphing using the First and Second Derivatives

Optimization

 

1,5, 9, 13, 41, 47, 49, 51, 52, (60,) 66

1-17 EOO, 26, 28, 30, 31, 32, 37, 41, 56

Turn in Homework #7 (Sections 3.2-3.3)

next class

 

T 5/5

 

3.4

3.5

 

 

Further Applications of Optimization

Optimizing Lot Size and Harvest Size

 

 

1, 3, 8, 14, (16)

1, 5, 9, 13, 18

Turn in Homework #8 (Sections 3.4-3.5)

next class

 

Th 5/6

 

4.1

4.2

 

Exponential Functions

Logarithmic Functions

 

1-9 odd, 12, 13, 27, 28, 33, (36,) 37, 43, 49

1, 3, 5, 7, 15, 17, 25, 36, 43, 47

Turn in Homework #9 (Sections 4.1-4.2)

next class

 

T 5/11

 

4.3

4.4

 

 

 

Differentiation of Logarithmic and Exponential Functions

Two applications to Economics: Relative Rates and Elasticity if Demands

 

1-55 Multiple of 5, 69, 70, 77, 81, 82

 

1-33 EOO, 35

Turn in Homework #10 (Sections 4.3-4.4) next class

 

Th 5/13

 

5.1

 

 

Antiderivatives and Indefinite Integrals

Review

 

1-37 EOO, 43,45, (50,) 52

Turn in Homework #11 (Sections 5.1) on May 20

 

T 5/18

 

 

Exam 2 (Section 3.1~3.5 & 4.1~4.4)

 

 

Th 5/20

 

5.2

 

5.3

 

Integration Using Logarithmic and Exponential Functions

Definite Integrals and Area

 

 

 

1-33 EOO, 35, 39, 43, (48,) 51, 53

 

1-61 EOO (skip 13, 17), 75, 76, 81, 84, 85, 90

Turn in Homework #12 (Sections 5.2-5.3) next class

 

T 5/25

 

5.4

 

5.5

 

Further Applications of Defined Integrals: Average Value and Area between Curves

Two Applications to Economics: Consumer’s

Surplus and Income Distribution

 

1-21 EOO, 27, 33, 37-53 EOO, 63, 67

 

1-29 EOO, 31

Turn in Homework #13 (Sections 5.4-5.5) next class

 

Th 5/27

 

5.6

6.1

 

 

Integration by substitution

Integration by Parts

 

1-49 EOO, 51-59 EOO, 65, 69, (71)

1-41 EOO, 53, 54, 55

Turn in Homework #14 (Sections 5.6-6.1) next class

 

T 6/1

 

 

7.1

 

 

Review 5.6 & 6.1

Functions of Several variables

 

 

 

1-21 EOO, 23, 27, 33

Turn in Homework #15 (Sections 7.1) next class

 

Th 6/3

 

7.2

7.3

 

Partial Derivatives

Optimizing Functions of Several Variables

 

 

1-41 EOO, 45, 50, (52)

Turn in Homework #16 (Sections 7.2) next class

 

T 6/8

 

7.3

 

Finish Section 7.3

Review

 

1-17 EOO, 21, 23, (24,) 29, 30

Turn in Homework #17 (Sections 7.3) next class

 

Th 6/10

 

 

 

Exam 3 (Section 5.1~5.6, 6.1, & 7.1~7.2)

 

 

 

T 6/15

 

7.5

 

 

 

Lagrange Multipliers and Constrained Optimization

 

 

1-21 EOO, 25, 31, 32

Turn in Homework #18 (Sections 7.5)  next class

 

Th 6/17

 

 

Review for Final

 

 

T 6/22

 

 

Cumulative Final Exam

 (4:00-5:50pm)     Noted time