MAT 131E – Calculus for Business and Social Science

 

Spring 2008

 

Course ID

Room

Unit

Days

Start Time

End Time

MAT 131E

A211

5

T, Th

3:30 PM

5:45 PM

 

INSTRUCTOR:                     Helen Shen

 

PHONE:                                  530-541-4660, Extension 364

 

E-MAIL:                                 shen@ltcc.edu

 

OFFICE HOURS:                  Mon. & Wed.  12:00 - 1:00 PM, 3:30 - 4:00 PM

                                                Tue. & Thurs.   12:00 - 1:00 PM                     

 

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. Evaluate limits, derivatives, and integrals for both single variable and 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.

RECOMMENDED

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

 

GRADING POLICY:           Method of Student Evaluation

                                                Homework (31 sections at 6 points each)                      186 points

                                                Quizzes* (16 at 4 points each)                            64 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 700 possible points.

                                                            A         90-100%        

                                                            B          80-89%          

                                                            C         70-79%                                  

                                                            D         60-69%

                                                            F          less than 60%

 

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, two worst quizzes 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.

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

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

 

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

                                                ·    Friday, May 2; Last day to drop the class with no penalty or mark on your

    record.

                                                ·    Friday, May 23; Last day to drop the class and receive a grade of W.

·    After May 23, 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 MSC (Math Success Center) on a drop-in basis, Mon-Sat:  M~Th, 9am-6pm; F, 10am-4pm; and Sat, 11am-4pm.

 

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.

 

 

Tentative Lecture Schedule for Math 131E

 

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

 

Date

Section  

Topic  

Homework

 

T 4/8

 

 

1.3

1.4

 

Introductions, Discussion of Syllabus

Functions

Functions, continued

 

 

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

1-13 EOO, 33-37 odd, 41-53 EOO, 57-63 odd, 71, 73, 82, 89, 93, 95

Turn in Homework #1 (Sections 1.3-1.4)

next class

 

Th 4/10

 

2.1

2.2

 

Limits and Continuity

Rates of Changes, Slopes, and Derivatives

 

 

1-45 EOO, 81

 

Turn in Homework #2 (Sections 2.1)

next class

 

T 4/15

 

2.2

2.3

 

continue

Some Differentiation Formulas

 

1-39 EOO, 55, 60

1-25 EOO, 31, 33, 45, 46, 50, 56, 60

Turn in Homework #3 (Sections 2.2-2.3)

next class

 

Th 4/17

 

2.4

2.5

 

The Product and Quotient Rules

Higher-Order Derivatives

 

1-21 EOO, 53, 54, 55, 56, 59, 60, 61

1a), b), 5a), b), 9a), 13, 15, 17, 21, 33, 40, 41, 42, 45, 48, 56

Turn in Homework #4 (Sections 2.4-2.5)

next class

 

T 4/22

 

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 4/24

 

3.1

 

 

Graphing Using the First Derivative

Review for Exam 1

 

1-4 all, 11, 13, 17, 35, 37, 65, 70

Turn in Homework #6 (Sections 3.1) next class

 

T 4/29

 

 

Exam 1

 

 

Th 5/1

 

 

3.2

3.3

 

Graphing using the First and Second Derivatives

Optimization

 

1,5, 9, 13, 29, 49, 51, 52, 54, 62

1-17 EOO, 26, 28, 30, 31, 32, 37, 40, 58

Turn in Homework #7 (Sections 3.2-3.3)

next class

 

T 5/6

 

3.4

3.5

 

 

Further Applications of Optimization

Optimizing Lot Size and Harvest Size

 

 

1, 3, 8, 14, 16

1, 5, 9, 13, 16

Turn in Homework #8 (Sections 3.4-3.5)

next class

 

Th 5/8

 

4.1

4.2

 

Exponential Functions

Logarithmic Functions

 

1-9 odd, 12, 13, 25, 26, 31, 34, 35, 41, 47

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

Turn in Homework #9 (Sections 4.1-4.2)

next class

 

T 5/13

 

4.3

4.4

 

 

 

Differentiation of Logarithmic and Exponential Functions

Two applications to Economics: Relative Rates and Elasticity if Demands

 

1-41 EOO, 55, 56, 63, 67, 74

 

1-33 EOO

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

 

Th 5/15

 

5.1

 

 

Antiderivatives and Indefinite Integrals

Review

 

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

Turn in Homework #11 (Sections 5.1) next class

 

T 5/20

 

 

Exam 2

 

 

Th 5/22

 

5.2

 

5.3

 

Integration Using Logarithmic and Exponential Functions

Define Integrals and Area

 

1-33 EOO, 37, 42, 45, 47, 49, 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 5/27

 

 

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 5/29

 

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 6/3

 

11.2

7.1

 

 

Continuous Probability

Functions of Several variables

 

 

1-25 EOO, 31, 35, 36

1-21 EOO, 23, 27, 33

Turn in Homework #15 (Sections 11.2-7.1) next class

Th 6/5

 

7.2

Partial Derivatives

Review

 

1-41 EOO, 45, 50, 52

Turn in Homework #16 (Sections 7.2) next class

 

T 6/10

 

 

Exam 3

 

 

 

Th 6/12

 

7.3

7.4

 

Optimizing Functions of Several Variables

Least Squares

 

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

1, 7, 9, 15, 16, 17

Turn in Homework #17 (Sections 7.3-7.4) next class

 

T 6/17

 

7.5

 

9.1

 

Lagrange Multipliers and Constrained Optimization

Differential Equations – Separation of variables

 

1-21 EOO, 25, 31, 32

 

1, 9, 37, 51, 53, 54, 56, 59, 61

Turn in Homework #18 (Sections 7.5-9.1) next class

 

Th 6/19

 

 

Review for Final

 

 

Th 6/26

 

 

Cumulative Final Exam