MATH 1830 Applied Calculus
 

Location

  

Instructor

Tammy Borren

Final Exam

  

Office

Yates 105B

Weather Line

(931) 540 – 2515

Phone

(615) 790-4417

Website

tborren.columbiastate.edu

E-mail

borren@columbiastate.edu

Course Description

A survey of differential and integral calculus with applications.  Topics include limits, the derivative, differentiation techniques, exponential and logarithmic functions, integration, applications of differentiation and integration.  For students not planning to major in engineering or mathematics. (Prerequisite:  MATH 1710 or four years of high school math which includes precalculus and satisfactory ACT.)  Applied Calculus fulfills the general mathematics requirement and is a specific requirement for certain emphases. 

Hybrid Course

This course will be delivered in a hybrid method.  That means that only half of the time will be spent in class.  It will be of utmost importance to your successful completion of this course, that you complete all of the outside class assignments.  WebCT will be an integral part of this course.  It will be imperative that you complete all of your assignments and keep up with the course using WebCT.  You MUST read the book and complete all homework assignments in order to be successfully complete this course. 

Course Objectives

Upon successful completion of this course, the student should be able to:

1.          find the slope of a line

2.         find the slope of a curve at a given point

3.         find the limit of f(x) as x approaches a, if it exists

4.         find the first and second derivative of functions

5.         solve applications involving rates of change

6.         sketch a curve using intercepts, asymptotes, and the first and second derivatives

7.         solve optimization problems, including applications

8.         differentiate using the product, quotient, and chain rule

9.         find antiderivatives

10.        evaluate definite integrals

11.         find the area between two curves

12.        integrate using additional techniques

13.        solve problems using exponential and logarithmic functions

14.        differentiate and integrate exponential and logarithmic functions

These objectives will be evaluated by the student's performance on tests and a comprehensive final examination after classroom explanation and examples.

Prerequisites and Co-requisites

 MATH 1710 Precalculus Algebra or 4 years of high school math which includes precalculus and satisfactory ACT

Student Responsibilities and Conduct

1.       Each student is expected to attend class and to be on time for each class meeting. Entering or leaving a class during class time is inconsiderate to the instructor and other class members please avoid any unnecessary disturbances. All pagers and cell phones should be silenced during class.  Attendance will be checked at various times during the class. 

2.       No tobacco products are allowed in the classroom.

3.       Each student is expected to read the textbook, complete all reading quizzes, and complete all homework assignments.

4.       A student needing additional help should talk to the instructor to set up an appointment for help.  Do not allow yourself to get behind.  A student who needs additional help can:

a)    make an appointment to work with a tutor

b)    study the solutions manual located at each site in the Learning Center or LRC

c)    view the video tapes located at each site in the Learning Center or LRC

5.       A student not completing the course will receive a grade of "F" if official withdrawal procedures are not followed.  Please see the CoSCC Catalog for instructions.  The last date to withdraw without a failing mark is listed in the course schedule book.

6.       If an error in grading is suspected, please talk to the instructor at the end of the class period.  Mistakes can occur and should be brought to the instructor's attention.  Students have the responsibility of keeping all graded material that is returned, in case there is a question.

7.       Cheating and other forms of academic dishonesty are prohibited.  The instructor has the authority to assign a zero for the exercise or examination or to assign an "F" in the course if there is academic misconduct.  Please see the CoSCC Catalog.

8.       Four announced tests will be given during the semester.  If you know in advance of an absence on test day (especially on a school-related trip), please contact the instructor.  If you have extenuating circumstances on the day of a test and are unable to take the test, it is your responsibility to contact the instructor prior to the test.  There are NO make-ups.  If you miss a test then your final exam grade will replace the zero on that test.  Your final exam will replace your lowest test grade if you do not miss any tests.  However, no test grade will replace your final exam grade.  In other words, no matter what the final exam grade counts.

9.     Two projects will be completed during the semester.  These projects will involve the synthesis of concepts discussed in class.  Each project will require at least a well written page summary with supporting calculations and numbers.

Textbooks, Supplementary Materials, Hardware and Software Requirements

Required Textbooks

Calculus for the Managerial, Life, and Social Sciences, 7th edition by S. T. Tan, PWS 2006, ISBN 0-534-41986-0 REQUIRED.  Calculator REQUIRED; graphics calculator (TI-83Plus) recommended.  Symbolic manipulation calculators are NOT allowed.

 

  Assessment and Grading

Grading Procedure

Grading Scale

The grades in this class will have four components:

ë      Attendance/Participation 5%

ë       Quizzes 10%

ë     Projects 20%

ë      Tests and Final Exam 65%

90-100% A
80-89%   B
70-79%   C
60-69%   D
0-59%     F

 Assignments and Participation

Attendance and Participation:

Each student will begin the semester with 0 attendance points.  For every day that class is attended each student will receive 5 points.  For every tardy or early departure you will receive 3 points.  These points can be made up by going to the board during class to work a homework problem, or a test review problem.  Each time you go to the board you will earn 2 points.  (5% of Final Grade)

Quizzes:

There will be 7 unannounced quizzes throughout the semester.  These quizzes will consist of two homework problems.  There will also be numerous reading quizzes throughout the semester.  These quizzes will be the student’s responsibility to complete outside of class prior to the discussion of a section.  The reading quizzes must be turned in at the beginning of class the day that the section is discussed in class.  Late reading quizzes will not be accepted.  All quizzes must be completed by the deadline as stated on WebCT.  There are NO MAKEUP provisions for quizzes.  The two lowest quiz grades will be dropped.  (10% of Final Grade)

Projects:

Two projects will be completed during the semester.  These projects will involve the synthesis of concepts discussed in class.  Each project will require at least a well written page summary with supporting calculations and numbers.  Projects will be graded based on mathematical correctness (50 points), presentation of conclusions (including grammatical and spelling errors), and support of the conclusions (50 points).  Each project is worth 100 points, and 10 points will be subtracted for every working day that the project is late.  (20% of Final Grade)

Tests

During the semester there will be 4 announced tests and a comprehensive final exam.  Each test is worth 100 points. 
(75% 0f 500 possible points)  There are no makeup tests.  If you miss a test you will be given a zero.  Your final exam score will replace your lowest test score.  Unless your lowest test score is higher than your final exam score.  The final exam score can only replace one test.  On test day, you will be asked to leave your book bags, purses, and books along the walls of the classroom.  You should only have your pencils, erasers, and calculator to your seat.

Course Ground Rules

Each student is responsible for his/her own conduct.  Students are expected to be respectful of the instructor and classmates at all times.

The taking of all announced tests and the final examination is required to pass the course.

Grades are not mailed to students.  You must access grades through Web for Students (www.Columbiastate.edu) five (5) working days after grades are required in Admissions.  Students needing official copies of grades must request it in writing from the Office of Admissions and Records.  Call the transcript information line at (931) 540-2550 for detailed instructions.   Students may print a copy of their grades from Web for Students. 

In the event of an emergency, please follow the instructions of the instructor.

In compliance with the Americans with Disabilities Act, students are encouraged to register with Counseling/Disability Services (931-540-2572) for possible assistance with accommodations.  It is the student’s responsibility to voluntarily and confidentially provide appropriate documentation regarding the nature and extent of a disability.  Students requesting special accommodations are (strongly) encouraged to contact Counseling/Disability Services at the beginning of the semester

 

Applied Calculus (MATH 1830)-Homework Assignments

 

Sect.

Page

Problems

√

1.4

41

13,19,21,27, 29, 31, 35, 41, 45, 75

 

2.1

58

3,11,15,17,21,27,29,33,39,41,47,49,51,53,55,57,65,75

 

2.2

73

1,2,3,5,19,25,27,31,33,35,37,43,45,47,49,51

 

2.3

85

1, 5, 7,17,19,21,23,27,33

 

2.4

111

1,3,5,7,9,15,17,19,23,25,27,31,33,35,39,49,51,53,55,57,63,65,67,73,75,77,79,83,84,85

 

2.5

127

1,3,5,7,9,11,13,15,17,19,21,25,29,33,35,41,43,45,47,49,51,55,79

 

2.6

147

9, 11, 15, 17,19,27,29

 

3.1

168

1,3,5,7,9,11,13,15,17,19,23,25,27,29,31,35,41,43,47ab,57,61

 

3.2

180

1,3,5,7,9,11,13,21,23,25,35,41,43,,53,57

 

3.3

192

1,3,5,7,9,11,15,19,21,25,29,33,37,43,47,63,65

 

3.4

208

3,5,9,11,13

 

3.5

216

1, 5,7,11,15,17,19,21,29,33

 

4.1

258

1,3,5,11,13,17,19,23,31,33,37,39,41,49,55,57,59,63,65,75,

 

4.2

276

1,3,5,9,11,23,25,27,45,47,57,61,63

 

4.3

293

3,5,7,11,13,15,17,19,21,25,37,39,41,51,55

 

4.4

308

39, 41, 45

 

4.5

322

1, 3, 5, 7

 

5.4

366

1,3,5,7,9,13,15,17,19,21,25,29,33

 

5.5

376

1,3,5,7,9,11,13,15,19,21,23,27,47

 

6.1

404

9,11,13,15,17,19,21,23,25,27,29,33,35,37,41,47,51,53,55,

 

6.4

437

5,7,11,15,17,21,25,27,31,37,39,45

 

6.6

458

1, 9, 11, 17,19,27,29,35,37,39

 

6.2

417

1,3,5,7,9,11