MAT 131E – Calculus for Business and Social Science

 

Spring 2007

 

Course ID

Room

Unit

Days

Start Time

End Time

MAT 131E

HSST5

5

T, Th

6:10 PM

8:35 PM

 

INSTRUCTOR:                     Helen Shen

 

PHONE:                                  530-577-4515 (home), leave message

 

E-MAIL:                                 htshen00@hotmail.com

 

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

 

REQUIRED TEXT:               Applied Calculus, Fourth Edition, by Berresford and Rockett

 

RECOMMENDED TEXT:   Student Solutions Manual, prepared by Christine Verity, 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.

 

STUDENT OUTCOMES:     The successful student will

1.      Exhibit a proficiency in the topics covered in the course;

2.      Engage in logical and critical thinking;

3.      Read technical information; and 

4.      Demonstrate the solution to problems by translating written language into mathematical statements, interpreting information, sketching relevant diagrams, analyzing given information, formulating appropriate mathematical statements, and checking and verifying results.

 

RECOMMENDED

PREREQUISITE:                  A grade of C or better in Math 154, or equivalent class.

 

GRADING POLICY:                         GRADING SCALE:

   Homework       20%                             A      90%-100%

   Quizzes              5%                             B       80%-89%

   Exams              40%                             C      70%-79%

   Final                 30%                             D      60%-69%

   Projects/             5%                             F       less than 60%

      Participation

 

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.

 

MAKE-UP POLICY:             Exams and the Final – make-up is possible, but there is a 10% penalty if the absence is not excused. 

Daily Quizzes – 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 is excused if the absent is excused. 

Homework – you must show your work to get credit, half credit for completion and half credit for selected problems. Homework is due at the next class; late homework is worth half credit and will NOT be accepted after one week. 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.

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.

 

REGISTRATION:                ·   You must register for this class at the Office of Admissions and Records.

                                                ·    Friday, April 27; Last day to drop the class with no penalty or mark on your

    record.

                                                ·    Friday, June 1; Last day to drop the class and receive a grade of W.

·    After June 1, if you are enrolled, you will receive some kind of grade.

·    In this class, it is your responsibility to drop the class in order to avoid a grade.

 

TUTORING:                          Tutors are available at no cost in GMC (The Gateway Math Center) on a drop-in basis. The phone number is 541-4660 x741.

 

HOW TO SUCCEED            1.   Come to every class meeting.

IN A MATH CLASS:            2.   Arrive early, get yourself settled and be ready when class starts. Sit where you  

      won’t be distracted.

3.      Read each section before it is discussed in class.

4.      Do all of the homework.

5.      Start preparing for tests at least a week in advance.

6.      Take advantage of tutors and office hours, extra help can make a big difference.

7.      Do some review every time you study math.

8.      Be willing to ask questions.

9.      Study in groups and find a study body.

 

 

 


 

Lecture Schedule for Math 131E

 

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

 

Date

Section  

Topic  

Homework

 

T 4/3

 

 

1.3

1.4

 

Introductions, Discussion of Syllabus

Functions

Functions, continued

 

 

1-33 EOO, 65, 67, 79

1-13 EOO, 33-37 odd, 41-53 EOO, 57-63 odd, 89, 93

 

Th 4/5

 

2.1

2.2

 

Limits and Continuity

Rates of Changes, Slopes, and Derivatives

 

 

1-45 EOO, 81

 

T 4/10

2.2

2.3

continue

Some Differentiation Formulas

1-39 EOO, 55, 58

1-25 EOO, 31, 33, 45, 46, 51

 

Th 4/12

 

2.4

2.5

 

The Product and Quotient Rules

Higher-Order Derivatives

 

1-29 EOO, 56, 59, 60, 62

1a), b), 5a), b), 9a), 13, 15, 17, 21, 41, 45, 56

 

T 4/17

 

2.6

2.7

 

 

The Chain Rule and the Generalized Power Rule

Nondifferentiable Functions

 

 

1-41 EOO, 53, 55, 58

1, 5, 9, 15

 

Th 4/19

 

3.1

 

 

Graphing Using the First Derivative

Review for Exam 1

 

1-4 all, 11, 13, 17, 35, 37, 69

 

 

T 4/24

 

 

Exam 1

 

 

 

 

Th 4/26

 

 

 

 

3.2

3.3

 

South Tahoe Middle School, Rm 58

 

Graphing using the First and Second Derivatives

Optimization

 

 

 

1,5, 9, 13, 29, 49, 51, 52

1-17 EOO, 28, 32, 37, 55, 58

 

T 5/1

 

3.4

3.5

 

 

Further Applications of Optimization

Optimizing Lot Size and Harvest Size

 

 

1, 3, 14, 23, 24

1, 5, 9, 13, 16

 

 

Th 5/3

 

4.1

4.2

 

Exponential Functions

Logarithmic Functions

 

1-9 odd, 12, 13, 25, 26, 35, 36, 41, 47

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

 

T 5/8

 

4.3

4.4

 

 

 

Differentiation of Logarithmic and Exponential Functions

Two applications to Economics: Relative Rates and Elasticity if Demands

 

1-41 EOO, 55, 63, 67, 74

 

1-33 EOO

 

 

Th 5/10

 

 

5.1

 

 

 

Antiderivatives and Indefinite Integrals

Review

 

 

1-37 EOO, 43,45,52

 

 

T 5/15

 

 

Exam 2

 

 

Th 5/17

 

5.2

 

5.3

 

Integration Using Logarithmic and Exponential Functions

Define Integrals and Area

 

1-33 EOO, 37, 45, 47, 49, 53

 

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

 

T 5/22

 

 

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

 

 

Th 5/24

 

5.6

6.1

 

Integration by substitution

Integration by Parts

 

1-49 EOO, 51-59 EOO, 65, 69, 74

1-41 EOO, 53, 54, 55

 

T 5/29

 

11.2

7.1

 

 

Continuous Probability

Functions of Several variables

 

 

1-25 EOO, 35, 36

1-21 EOO, 23, 27, 33

 

Th 5/31

 

7.2

Partial Derivatives

Review

 

1-41 EOO, 45, 50

 

T 6/5

 

 

Exam 3

 

 

 

Th 6/7

 

7.3

7.4

 

Optimizing Functions of Several Variables

Least Squares

 

1-17 EOO, 21, 23, 29, 30

1, 7, 9, 15, 16, 17

 

T 6/12

 

7.5

 

9.1

 

Lagrange Multipliers and Constrained Optimization

Differential Equations – Separation of variables

 

1-21 EOO, 31, 32

 

1, 9, 37, 51, 53, 54, 59, 61

 

Th 6/14

 

 

Review for Final

 

 

Th 6/21

 

 

Cumulative Final Exam (6:10-8:35pm)