MAT 131E – Calculus for Business and Social Science

 

Winter 2007

 

Course ID

Room

Unit

Days

Start Time

End Time

MAT 131E

A206

5

T, Th

3:30 PM

5:45 PM

 

INSTRUCTOR:                     Helen Shen

 

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

 

E-MAIL:                                 htshen00@hotmail.com

 

LTCC MATH PAGE:            http://www.ltcc.edu/depts/math

 

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              45%                             C      70%-79%

   Final                 25%                             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, January 26; Last day to drop the class with no penalty or mark on your

    record.

                                                ·    Friday, March 2; Last day to drop the class and receive a grade of W.

·    After March 2, 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 1/2

 

 

1.3

1.4

 

Introductions, Discussion of Syllabus

Functions

Functions, continued

 

 

1-33 EOO, 65, 67, 79

1-13 EOO, 33-37 odd, 41-54 EOO, 57-63 odd, 89, 93

 

Th 1/4

 

2.1

2.2

 

Limits and Continuity

Rates of Changes, Slopes, and Derivatives

 

1-45 EOO, 81

1-39 EOO, 55, 58

T 1/9

2.3

2.4

Some Differentiation Formulas

 The Product and Quotient Rules

1-25 EOO, 31-37 EOO, 45, 46, 51

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

 

Th 1/11

 

2.5

2.6

 

Higher-Order Derivatives

The Chain Rule and the Generalized Power Rule

 

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

1-41 EOO, 53, 55, 58

 

T 1/16

 

2.7

3.1

 

Nondifferentiable Functions

Graphing Using the First Derivative

 

1, 5, 9, 15

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

 

Th 1/18

 

3.2

 

Graphing using the First and Second Derivatives

Review for Exam 1

 

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

 

T 1/23

 

 

Exam 1

 

 

Th 1/25

 

3.3

3.4

 

Optimization

Further Applications of Optimization

 

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

1, 3, 14, 23, 24

 

T 1/30

 

3.5

4.1

 

Optimizing Lot Size and Harvest Size

Exponential Functions

 

1-17 EOO, 18

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

 

Th 2/1

 

4.2

4.3

 

Logarithmic Functions

Differentiation of Logarithmic and Exponential Functions

 

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

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

 

T 2/6

 

4.4

 

5.1

 

Two applications to Economics: Relative Rates and Elasticity if Demands

Antiderivatives and Indefinite Integrals

 

1-33 EOO

 

1-39 EOO, 43,45,52

 

Th 2/8

 

5.2

 

Integration Using Logarithmic and Exponential Functions

Review

 

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

 

T 2/13

 

 

Exam 2

 

 

Th 2/15

 

5.3

5.4

 

Define Integrals and Area

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

 

1-61 EOO, 75, 76, 81, 84, 85, 89

1-25 EOO, 27, 33, 35, 37-53 EOO, 63, 67

 

T 2/20

 

 

5.5

 

5.6

 

Two Applications to Economics: Consumer’s Surplus and Income Distribution

Integration by substitution

 

1-29 EOO, 31

 

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

 

Th 2/22

 

6.1

11.2

 

Integration by Parts

Continuous Probability

 

1-41 EOO, 53, 54, 55

1-25 EOO, 35, 36

 

T 2/27

 

7.1

7.2

 

Functions of Several variables

Partial Derivatives

 

1-21 EOO, 23, 27, 33

 

Th 3/1

 

7.2

 

continued

Review

 

1-41 EOO, 45, 50

 

T 3/6

 

 

Exam 3

 

 

 

Th 3/8

 

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 3/13

 

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 3/15

 

 

Review for Final

 

 

T 3/22

 

 

Cumulative Final Exam (3:30-4:45pm)