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Canyon College

online Business Calculus course at Canyon College

COURSE SYLLABUS: BUSINESS CALCULUS

Course Title:
Department:
Instructor:
BU320 - Business Calculus
Business
George E. Thibodeaux, MBA, ARM E-Mail - Vita


I. Course Description: Business Calculus for Business Students

There are fundamental differences in mathematics from the view of linear algebra and calculus. Algebra is said to be "discrete" in that it is composed of distinct parts. Calculus on the other hand is "continuous" or proceeding in an unbroken stream of possible outcomes. As a simple example, with $X at the local fast food restaurant you can buy one, two or any distinct number of hamburgers. Having purchased your hamburgers, you can, however, eat one, one and a half, two and seven eighths or any continuous array of numbers of hamburgers.

This course will begin with a review of algebraic functions and progress to the continuous calculus approach. We will employ both traditional mathematical approaches and student-generated projects to enhance learning. Real world data will be used to teach methods of problem solving in the continually changing business environment. We will develop decision models using derivatives, graphs, continuous probability distribution, integration, and other methods in order to understand the meaning of the variables in our models. The overall objective is to teach the student to formulate a problem, develop the approach to address the condition, define variables, collect data, apply the solutions approach, and validate the conclusion.

II. Course Objective

At the conclusion of this course the student should be comfortable with the following concepts:

A. Developing the fundamentals of the problem solving process
B. Mathematical modeling and formulation of verbal descriptions
C. Linear function models
D. Average and percentage rate of change
E. Derivative notation and interpretation
F. Derivative, chain, and product rules
G. Analysis of graphs and slope graphs
H. Optimization
I. Post optimality analysis
J. Testing of critical point, concavity, and points of Inflection
K. Approximating area under the curve
L. Variable limits of integration

III. Textbook: Online Bookstore

Mathematical Connections, A Modeling Approach to Business Calculus (Preliminary edition); Johnson-Pollack, Bruce and Borchardt, Audrey F.; ISBN #: 0135763983

IV. Grading and Course Logistics

Weekly Assignments = 20%
Course Project = 20%
Mid Term Exam (Chapters 1&2) = 30%
Final Exam - Non cumulative (Chapters 3&4) = 30%

A = 100 - 90%
B = 90 - 80%
C = 80 - 70%
D = 70 - 60%
F = 60% - Below

Assignments must be completed on a weekly basis. Please submit weekly assignments via email by Sunday evening of each week. Late assignments will affect your grade.
The course study should take 10 weeks to complete, but must be completed within 12 weeks of an agreed starting date.

The instructor may be contacted by e-mail with any questions or concerns. If person to person conversation is necessary, the student should e-mail the instructor with a time and phone number where the student can be reached.

Academic honestly is highly valued at Canyon College. A student must present the product of his or her own original work.

V. Weekly Course Outline (This is the optimal course time frame which works well to kept the student motivated toward completion. However, I do realize that you have chosen Canyon College because you have active professional and social lives outside of school. Exception to the optimal time frame must be discussed with the instructor and will be considered on a case by case basis.)

Week 1
Chapter 1, Sections 1-3, Problem Solving, Functions, and Models
Also, read Appendix B, Student-Generated Projects p. 547-553
Weekly Assignment:
  1. Exercises for Section 1.1, p. 38-40, Questions: 1,2,13, and 14
  2. Exercises for Section 1.2, p. 66-67, Questions: 1,2,5, and 6
  3. Exercises for Section 1.3, p. 99-102, Questions: 2,3,15, and 16
Week 2
Chapter 1, Sections 4-5, Problem Solving, Functions, and Models
Weekly Assignment:
  1. Submit for approval a project topic that would be of interest to you to develop for presentation in the format suggested in Appendix B.
  2. Exercises for Section 1.4, p. 125-127, Questions: 2,3,11, and 12
  3. Exercises for Section 1.5, p. 147-149, Questions: 2,3,7, and 8
Week 3
Chapter 2, Sections 1-3, Rate of Change
Weekly Assignment:
  1. Work on your project
  2. Exercises for Section 2.1, p. 169-173, Questions: 1,2,13, and 14
  3. Exercises for Section 2.2, p. 195-197, Questions: 2,3,11, and 12
  4. Exercises for Section 2.3, p. 214-216, Questions: 1,2,5, and 6
Week 4
Chapter 2, Sections 4-6, Rate of Change
Weekly Assignment:
  1. Work on your project
  2. Exercises for Section 2.4, p. 242-243, Questions: 2,3,10, and 11
  3. Exercises for Section 2.5, p. 261-262, Questions: 2,3,15, and 16
  4. Exercises for Section 2.6, p. 274-275, Questions: 1,2,11, and 12
Week 5
Review Questions and MID TERM EXAM

Week 6
Chapter 3, Sections 1-3, Single-Variable Optimization and Analysis
Weekly Assignment:
  1. Work on your project
  2. Exercises for Section 3.1, p. 299-301, Questions: 1(graph a and h only),17, and 18
  3. Exercises for Section 3.2, p. 319-320, Questions: 2,3,12, and 13
  4. Exercises for Section 3.3, p. 345-346, Questions: 1,2,13, and 14
Week 7
Chapter 3, Sections 4-5, Single-Variable Optimization and Analysis
Weekly Assignment:
  1. Work on your project
  2. Exercises for Section 3.4, p. 384-385, Questions: 1,2,11, and 12
  3. Exercises for Section 3.5, p. 410-412, Questions: 4,5,11, and 12
Week 8
Chapter 4, Sections 1-4, Continuous Probability and Integration
Weekly Assignment:
  1. Work on your project.
  2. Exercises for Section 4.1, p. 436-437, Questions: 2,3,5, and 6
  3. Exercises for Section 4.2, p. 462-463, Questions: 4,5,23, and 24
  4. Exercises for Section 4.3, p. 471-472, Questions: 1,2,7, and 8
  5. Exercises for Section 4.4, p. 490-492, Questions: 1,2,13, and 14
Week 9
Chapter 4, Sections 5-7, Continuous Probability and Integration
Weekly Assignment:
  1. Work on your project.
  2. Exercises for Section 4.5, p. 510-511, Questions: 1,2,11, and 12
  3. Exercises for Section 4.6, p. 520-522, Questions: 1,2,9, and 10
  4. Exercises for Section 4.7, p. 535-536, Questions: 1,2,7, and 8
Week 10
Submit Project
Review Questions and FINAL EXAM