Course Outline – Applied Calculus (MTH 270)

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					           Course Outline – Applied Calculus (MTH 270)
I.     Introduction
       Instructor: Dr. Julia Arnold
       Office: 3223 Walker Bldg. 350 Granby St. Norfolk
       Phone: 822-1323
       Email: jarnold@tcc.edu

       Applied Calculus (MTH 270) is designed for students in the fields of business,
       economics and some sciences. The course presents limits of functions, continuity
       of functions, differentiation of algebraic functions and transcendental functions
       with applications, and an introduction to integration of functions. In addition
       there is a welcome page to help you decide if online learning is right for you.
       Please go there and check it out:
       http://www.tcc.edu/faculty/webpages/JArnold/270wel_000.html


II.    Prerequisites

       Precalculus I (MTH 163), Precalculus (MTH 166) or equivalent It is
       recommended that all students take the math placement test to see if they are
       adequately prepared for this course. You must be able to use email, to use the
       internet to work with the course site and related sites, to print pages found on a
       web site and to download documents.



III.   Instructional Materials
       A. Textbook: Applied Calculus for the Managerial, Life, and Social Sciences,
          by Soo Tan, 6th edition
       B. Graphing calculator (Required; TI 83 or TI 84 recommended)
       C. Online Course uses Blackboard
       D. Microsoft Office with Word, Excel, and Power Point
       E. Computer as described in the welcome page with an Internet Connection.


IV.    Overall Objectives
       A. Review equations, graphs and functions
       B. Learn to find the limit of a function
       C. Learn to find the derivative of a function
       D. Apply the derivative to graphing techniques
       E. Apply the derivative to optimization problems
       F. Find the derivative of exponential and logarithmic functions
       G. Learn the process of integration of a function
       H. Apply integration to area problems
V.     Instructional Strategies
       A variety of instructional strategies will be employed in addition to online
       discussions in Blackboard. These include, but are not limited to, small group
       activities online and online quizzes.

VI.    Attendance Policy
       Mathematics is a comprehensive subject and builds on itself. You are responsible
       for reading the sections covered in each class, and doing the assignments as listed
       in the syllabus. You will be required to make two visits to campus for test
       taking. The first time is for Test 2 and the second time is the Final Exam. See
       Weekly Schedule for dates. Both will be held in room 3205 in the Walker Bldg.
       of TCC at the Norfolk Campus. Test 1 and Test 3 will be taken online. Please
       make arrangements now, if necessary, to be available during those days and
       times. Unexcused absences will result in a grade of 0 and failure of the course.
       Excused absences may make up the test by making arrangements with your
       Instructor. If unable to find a time, the final exam grade will replace the missing
       grade.

       Students who are at a great distance (50+miles) from campus are responsible to
       find a proctored location where someone of authority can administer their test and
       give them access to a computer with an internet connection. Possible places are
       other community colleges, or libraries. The name, address, phone number, and
       title of the proctor must be given to the Instructor in plenty of time for
       arrangements to be made with the proctor.

       More than 20% absence of the class sessions for the semester constitutes
       unsatisfactory attendance and will place you in jeopardy of being withdrawn
       from class. In an online class, this would mean that there is no evidence of
       your working in the course because quizzes are not completed and discussion
       board is not being used.

VII.   Supplements
       I recommend that you keep a 3-ring notebook to insert materials and keep your
       Course Outline and Weekly Schedule available.

VIII. Disabilities Services Policy
      All students will be treated with respect to their individual needs. If you are
      receiving services related to a disability or medical condition, or feel you might
      need services, please make an appointment to talk to me. Any information about
      your disability or medical condition we discuss is confidential and will not be
      shared with anyone. For additional assistance, please contact your disability
      services counselor or the District Coordinator at 822-1213, and/or visit the web
      page at http://www.tcc.edu . Reasonable accommodations will be made for
      students with disabilities, provided that those students have registered with the
      Office of Disability Services. Please present me with the documentation.
IX. Grading System

       For a grade of A you will need to earn 90-100%
       For a grade of B you will need to earn 80-89%
       For a grade of C you will need to earn 70-79%
       For a grade of D you will need to earn 60-69%


       Tests and Other Grades
       There will be 11 quizzes on Blackboard the average of which will count 30% of
       your grade.
       There will be 3 tests each worth 10% each = 30%
       There will be a group project worth 15%
       Discussion Board (10 entries either math questions or answers to math questions
       count toward the 10 entries) 5%
       The final exam is worth 20%

       Test 1 will cover Chapters 1 and 2 and will be taken online.
       Test 2 will cover Chapters 1-3 and must be taken at the Norfolk Campus or a
       proctored location.
       Test 3 will cover Chapters 4-6 and will be taken online.
       The final exam is cumulative and covers Chapters 1-6.and must be taken at the
       Norfolk campus or a proctored site.

       Group Assignment
       Group Assignment will be announced when you reach Chapter 4. The groups will
       be defined in your Blackboard site and you only need to click on the Groups
       button and then on the underlined group name to access the various modes of
       communication: Discussion board or Email.


  Text: Applied Calculus for the Managerial, Life, and Social Sciences (6th edition)

Chapter 1: Preliminaries - Review Exercises (Practice, practice, practice!)
      1.1    Pre-Calculus Review I
      1.2    Pre-Calculus Review II
      1.3    The Cartesian Coordinate System
      1.4    Straight Lines

Chapter 2: Functions, Limits and the Derivative
      2.1   Functions and Their Graphs
      2.2   The Algebra of Functions
      2.3   Functions and Mathematical Models
      2.4   Limits
      2.5   One-Sided Limits and Continuity
      2.6   The Derivative
Chapter 3: Differentiation
      3.1    Basic Rules of Differentiation
      3.2    The Product and Quotient Rules
      3.3    The Chain Rule
      3.4    Marginal Functions in Economics
      3.5    Higher Order Derivatives
      3.6    Implicit Differentiation

Chapter 4: Applications of the Derivative
      4.1    Applications of the First Derivative
      4.2    Applications of the Second Derivative
      4.3    Curve Sketching
      4.4    Optimization I (Absolute Extrema)
      4.5    Optimization II

Chapter 5: Exponential and Logarithmic Functions
      5.1    Exponential Functions
      5.2    Logarithmic Functions
      5.3    Compound Interest
      5.4    Differentiation of Exponential Functions
      5.5    Differentiation of Logarithmic Functions
      5.6    Exponential Functions and Mathematical Models

Chapter 6: Integration
      6.1     Antiderivatives and the Rules of Integration
      6.2     Integration by Substitution
      6.3     Area and the Definite Integral
      6.4     The Fundamental Theorem of Calculus
      6.5     Evaluating Definite Integrals

Chapter 8: Calculus of Several Variables (Optional depending on time)
      8.1    Functions of Several Variables
      8.2    Partial Derivatives
                               COURSE OUTLINE
                           Applied Calculus (MTH 270)
  Text: Applied Calculus for the Managerial, Life, and Social Sciences (6th edition)

VII.   Supplements
       A set of 16 videotapes is available in the library. They are for textbooks by
       another author (Calculus - An Applied Approach and Brief Calculus - An Applied
       Approach, by Larson and Edwards) but can still be of use to you. Other
       instructional resources may be available from me in my office.

VIII. Disabilities Services Policy
      All students will be treated with respect to their individual needs. If you are
      receiving services related to a disability or medical condition, or feel you might
      need services, please make an appointment to talk to me. Any information about
      your disability or medical condition we discuss is confidential and will not be
      shared with anyone. For additional assistance, please contact your disability
      services counselor or the District Coordinator at 822-1213, and/or visit the web
      page at http://www.tcc.edu . Reasonable accommodations will be made for
      students with disabilities, provided that those students have registered with the
      Office of Disability Services. Please present me with the documentation.



  Text: Applied Calculus for the Managerial, Life, and Social Sciences (6th edition)

Chapter 1: Preliminaries - Review Exercises (Practice, practice, practice!)
      1.5    Pre-Calculus Review I
      1.6    Pre-Calculus Review II
      1.7    The Cartesian Coordinate System
      1.8    Straight Lines

Chapter 2: Functions, Limits and the Derivative
      2.7   Functions and Their Graphs
      2.8   The Algebra of Functions
      2.9   Functions and Mathematical Models
      2.10 Limits
      2.11 One-Sided Limits and Continuity
      2.12 The Derivative

Chapter 3: Differentiation
      3.7    Basic Rules of Differentiation
      3.8    The Product and Quotient Rules
      3.9    The Chain Rule
      3.10 Marginal Functions in Economics
      3.11 Higher Order Derivatives
      3.12 Implicit Differentiation
                               COURSE OUTLINE
                           Applied Calculus (MTH 270)
  Text: Applied Calculus for the Managerial, Life, and Social Sciences (6th edition)

Chapter 4: Applications of the Derivative
      4.6    Applications of the First Derivative
      4.7    Applications of the Second Derivative
      4.8    Curve Sketching
      4.9    Optimization I (Absolute Extrema)
      4.10 Optimization II

Chapter 5: Exponential and Logarithmic Functions
      5.7    Exponential Functions
      5.8    Logarithmic Functions
      5.9    Compound Interest
      5.10 Differentiation of Exponential Functions
      5.11 Differentiation of Logarithmic Functions
      5.12 Exponential Functions and Mathematical Models

Chapter 6: Integration
      6.6     Antiderivatives and the Rules of Integration
      6.7     Integration by Substitution
      6.8     Area and the Definite Integral
      6.9     The Fundamental Theorem of Calculus
      6.10 Evaluating Definite Integrals

Chapter 8: Calculus of Several Variables (Optional depending on time)
      8.3    Functions of Several Variables
      8.4    Partial Derivatives