NORFOLK STATE UNIVERSITY

DEPARTMENT OF MATHEMATICS

SYLLABUS for MTH 132- Spring 2008

Calculus for Business Majors

Instructor: Dr. Peter Agbakpe Website: http://math.nsu.edu/agbakpe

Credit Hours: 3

Class Meetings: MW: 5:00 – 6:30 pm. BMH B-125

Office: BMH B-104, Tel. 823-9570 Email: pagbakpe@nsu.edu

Office Hours: MW:11:30 – 12:30, 3:30 – 5:00, TR: 11:00 – 12:30

Text: Applied Mathematics for the Managerial, Life, and Social Sciences, (4^th Edition) by S. T. Tan. ISBN #0-495-01581-4

URL for Lab: www.ilrn.com. Course key: E-58DAD42BXNHKZ

Prerequisite: MTH 131 or equivalent (with a grade of C or better) or Placement Test

Course Description: This is a continuation of MTH 131 that provides an introduction to elementary calculus. The topics include limits, continuity, differentiation and integration.

Additional Materials Required: Recommended Scientific/Graphing Calculator: TI-83. Class Nnotebook, and Access account to use “iLrn” (http://www.ilrn.com) for assignments, practice tests and lab test.

Supplementary Material Avilable: ilrn is accessible via internet at the official website of Brooke/Cole (Thompson Publishing) at www.ilrn.com. Ilrn is a “dynamic, interactive online teaching and learning environment that provides instructors and students with access to rich online course materials complementing Pearson Higher Learning textbooks.” It includes video lectures for the entire course, audio clips, animations, 24-hour online tutoring, and practice test. Additional resources are also available on the NSU website at http://www.nsu.edu.

Course Rationale: This is a required core mathematics course for most business majors. It provides an introduction to elementary concepts of calculus, such as limits, derivatives, and integrals and applications, as well as the applications to business, such as optimization, margin, area and cumulative change. This course is also essential for business major students to obtaining admission to graduate schools.

Obligations: Each student must:

1. Take all required exams/tests/quizzes when scheduled.

2. Take all assigned computer lab test and assignments.

3. Participate in classroom discussions.

4. Students must complete the online lab tests and earn a minimum of 70% to become eligible for taking the in-class test. A score of less than 70% will not earn any credit. All students must take all lab tests, in-class tests, and final examination when scheduled.

NOTE: No-shows by the third week will be deleted from the roster.

Course Goals: By attending the lectures, completing the assignments, and participating in class, the student should accomplish the following objectives:

1. Gain knowledge in calculus operations and applications.
2. Understand the concept of limits and how to evaluate them.
3. Understand continuity and find the points of discontinuity of functions.
4. Apply the differentiation rules to functions.
5. Understand the applications of derivatives.
6. Learn basic integration techniques and how integration relates to differentiation.

Measurable Intended Student Learning Outcomes: Upon completion of the course, the student should have a level of proficiency of 70 % and should be able to:

1. Understand limits and their basic properties.
2. Analyze and find limits of basic functions.
3. Develop the idea of a tangent line to a curve.
4. Define a derivative.
5. Define the slope of a curve.
6. Compute derivatives by using the limit definition.
7. Understand basic differentiation rules.
8. Understand continuity in the context of limits and to find points of discontinuity of functions.
9. Interpret the derivative as an instantaneous rate of change.
10. Understand the “marginal” concept that is used in business and economics.
11. Differentiate exponential and logarithmic functions.
12. Evaluate higher order derivatives.
13. Understand relative extrema of functions
14. Understand the relationship between derivatives and curve sketching.
15. Use derivative to solve optimization application problems.
16. Understand the concepts of antiderivatives and indefinite integrals.
17. Apply basic integration formulas and techniques.
18. Find a particular antiderivative of a function that satisfies certain conditions.
19. Understand the Fundamental Theorem of Integral Calculus and to use it to compute definite integrals

Primary Method of Instruction/Methods to engage Students: The content of the course is covered in an in-class room lecture setting. Each lecture class covers the theory and related problems from the exercise. For in depth understanding of subject in-class discussions are encouraged. Students are required to solve enough number of problems until they are comfortable with the methods/techniques introduced in the class. It is mandatory to complete the related lab assignment as per calendar supplied with this document. Any difficulties are discussed on one-to-one basis during the office hours. Evaluations are done after sufficient materials are covered, and the graded evaluations are returned to them as a feed back of their performances. Students are expected to devote a minimum of 7 hours per week outside the class.

Course Outline/Calendar

Weeks 1 2 3 4 5 6 7	Chapter 9 The Derivative Review/Pretest Sec. 9.1 – Limits Sec. 9.2 – Continuity Sec. 9.3 – The Derivative Exam 1 Sec. 9.4 – Basic Rules of Differentiation Sec. 9.5 – The Products and Quotient Rules; Second Deri. Sec. 9.6 – The Chain Rule Sec. 9.7 – Derivatiation of Exponential and Log Functions Sec. 9.8 – Marginal Functions in Economics Exam 2	P.560 P.582 P.598 P.618 P.632 P.648 P.661 P.675
8 9 10 11	Chapter 10 Applications of the Derivative Sec. 10.1 – Applications of the First Derivative Sec. 10.2 – Applications of the Second Derivative Sec. 10.3 – Curve Sketching Sec. 10.4 – Optimization I Sec. 10.5 – Optimization II Exam 3	P.692 P.711 P.729 P.744 P.759
12 13 14 15	Chapter 11 Integration Sec. 11.1 – Antiderivatives and the Rules of Integration Sec. 11.2 – Integration by Substitution Sec. 11.4 – The Fundamental Theorem of Calculus Sec. 11.5 – Evaluate Definite Integrals Sec. 11.6 – Area between two curves Exam 4 Review and Final Exam	P.776 P.791 P.810 P.822 P.833

Related University-wide and Course-specific Requirement:

• Writing: The student has to learn to write the logical steps of solving a mathematical problem. Logical explanation needs to be written properly for open-ended questions.
• Information Technology Literacy: The student will explore various websites to gain a better understanding of math concepts and problems. Students are encouraged to communicate (outside class) with the professor or classmates through electronic means. On-line assignment using iLrn will be adopted.
• Quantitative Reasoning: Most of the math concepts have applications that require quantitative reasoning.
• Scientific Reasoning: Most of the math applications require the use of scientific reasoning.
• Oral Communication: The student demonstrates this through classroom discussions and explanations at the board.
• Critical Thinking: Most of the math concepts and applications require critical thinking.
• Other Requirements: The student is required to do the Math Lab assignments project for the course.

Evaluation/Assessment Methods:

Grading: The final grade for the course comprises the following:

14% in-class quizzes/homework assignments,

16% 8 computer lab tests,

50% 4 Tests at 12.5% each,

20% final exam.

Exam Schedule:

Test #1: Chapter 9.1-9.3 Date:

Test #2: Chapter 9.4-9.8

Test #3: Chapter 10.1-10.5

Test #4: Chapter 11.1-11.6

Final Exam: Comprehensive

Make-up Policy:

Grading Scale:

0-59	60-63	64-67	68-69	70-73	74-77	78-79	80-83	84-87	88-89	90-93	94-100
F	D-	D	D+	C-	C	C+	B-	B	B+	A-	A

Academic Integrity Standards:

Information regarding academic misconduct, disciplinary procedures, and sanctions regarding such misconduct may be obtained by consulting the NSU Student Handbook.

Attendance:

Students are expected to attend each class. Attendance is taken in the beginning of the class. If tardy, please notify the instructor at the end of the class period. Any absence from class doesn’t relieve any student of the responsibility for completing all class work and assignments. With satisfactory explanation, an absence may be considered excused. In general, an excused absence will include any kind of illness, participation in university sponsored activities, recognized emergencies, etc., verified and supported by a written statement from the proper authority.

NOTE: No-shows by the third week will be deleted from the roster.

Policy on Disabilities: In accordance with Section 504 of the 1973 Rehabilitation Act and the Americans with Disabilities Act (ADA) of 1990, we ask if you have a disability or think you have a disability please call Ms. Marian E. Sheppard, coordinator at 823-2014 or make contact with the Supporting Students through Disability Services (SSDS) office located in Rm. 240 (2^nd Floor) - Lyman Beecher Brooks Library.

University Assessment Statement: As part of NSU’s commitment to provide the environment and resources needed for success, student may be required to participate in a number of university-wide assessment activities. The activities may include tests, surveys, focus groups and interviews, and portfolio reviews. The primary purpose of the assessment activities is to determine the extent to which the university’s programs and services maintain a high level of quality and meet the needs of the students. Students will not be identified in the analysis of results. Unless indicated otherwise by the instructor, results from University assessment activities will not be computed in the student grades.

Success Tips: Your success in this course relies on your understanding and comprehension of the lecture and book. However, like any other profession, practice makes it perfect. It is your responsibility to properly re-enforce the new knowledge by working similar problems assigned as homework. To ensure that you can use your new knowledge, it is a good idea to do first a few homework problems “open book” to become more familiar with the setup. After feeling sufficiently comfortable with the material you work more problems “closed book” to ensure that you did not merely transfer information from one piece of paper to another.

MTH 132-51 – Calculus for Non-Science Major Lab,

SPRING 2008 MATH-132-51 (Calculus for Non-Science Major) - MW

TEXT: Applied Mathematics for the Managerial, Life, and Social Sciences,
4^th Edition by Tan, Course key: ________________

Laboratory Tests

Student Name: Instructor:

Student ID: Section: MATH 132-

Lab Test	Sections & Contents	Due Date	Lab Notes
1.	Section 9.1: Limits	01-31-08
2.	Section 9.2 - 9.3: Continuity; The derivative;	01-31-08
In Class Test #1 - Sections 9.1 – 9.3				02-01-08
3.	Section 9.4 – 9.5: Basic rules of differentia-tion; Product, Quotient Rules	02-28-08
4.	Section 9.6 – 9.8: Chain rule; Differentiation of logarithmic and exponential functions, Marginal Function in Economics	02-28-08
In Class Test #2 - Sections 9.4 – 9.8				02-29-08
5.	Section 10.1 – 10.2: Graphs, increasing & decreasing, concave up & down	04-01-08
6.	Section 10.3 – 10.5: Maximum/minimum, optimization problems, curve sketching	04-01-08
In Class Test #3 - Sections 10.1 – 10.6				04-02-078
7.	Section 11.1 – 11.2: Antiderivatives, integration by substitution	04-27-08
8.	Section 11.4 – 11.6: Area and definite integral, application of integrals	04-27-08
In Class Test #4 - Sections 11.1 – 11.6				04-28-08
In Class Final Exam - Comprehensive				05-0X-08

8 Lab Tests: 16% 4 In-Class Tests: 50%,

Homework/ Pop Quizzes: 14% Final Exam: 20%

MATH 132

Flowchart

** No Credit Awarded for Lab Tests not passed.

Lab Tests count for 16% of Final Grade.

HOME WORK ASSIGNMENTS:

Sections	HW Assignments
Sec. 9.1	1,3,4,9,11,12,14,15,17,19,27,49,51,53,59,73,75,77
Sec. 9.2	1,2,3,9-14,15,19,23,27,33,38,39,42,43,45,47,49,53
Sec. 9.3	3,4,11,13,15,19,21,23,25,27,29,33,34
Sec. 9.4	3,5,9,13,19,23,25,27,29,33,41,43,51,53,57,63
Sec. 9.5	5,7,11,15,17,23,25,31,46,43,45
Sec. 9.6	5,9,13,15,17,21,23,25,29,31,33,35,37,41,45,49,65
Sec. 9.7	1,3,7,9,15,19,25,31,37,43,45,47,51,57,71
Sec. 9.8	3,5,7,9,11,13,15,17
Sec. 10.1	3,7,13,15,17,19,25,31,53,57,61,67,75,79,81,87
Sec. 10.2	5,7,9,23,26,27,33,39,47,49,51,57,65,67,76,
Sec. 10.3	11,15,17,39,44,51
Sec. 10.4	3,4,5,15,19,21,23,27,31,37,45,47,49,51,57
Sec. 10.5	2,3,5,7,,13,15,16,17,21
Sec. 11.1	9,11,15,17,19,25,27,31,35,37,39,41,51,55,67,68
Sec. 11.2	1,5,7,11,12,19,23,24,27,35,39
Sec. 11.4	5,7,9,13,19,23,25,29,33,35,41,42,46,47
Sec. 11.5	3,5,7,15,19,21,22
Sec. 11.6	1,3,7,11,17,19,22,25,27,29,35,37,39,40,43

NOTE: