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MASTER SYLLABUS

Master Syllabus

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Administrative Unit: Computer and Mathematical Sciences Department
Course Prefix and Number: MATH 226
Course Title: Integral Calculus, Part 1
Number of:
Credit Hours 3
Lecture Hours 3
Lab Hours 0
Catalog Description:

The second course in a three part calculus sequence. Topics include: the Riemann integral, applications of integration, techniques of integration, and  transcendental functions. Prerequisite: MATH 215 with grade of C or higher.

 
Prerequisite(s) / Corequisite(s):

MATH 215 with a grade of C or higher.

 
Text(s): Most current editions of the following:

Most current editions of the following:



Calculus
By Finney, R. & G. Thomas. (Addison-Wesley)
Recommended
Calculus
By Stewart (Brookes-Cole)
Recommended
 
Course Objectives
  • To use calculus to formulate and solve problems and communicate solutions to others.
  • To use technology as an integral part of the process of formulation, solution and communication.
  • To understand calculus topics from numerical, graphical, symbolic, and analytical perspectives.
  • To understand and appreciate the connections between mathematics and other disciplines.
  •  
    Measurable Learning Outcomes:

     

    • Compute definite integrals as the limit of Riemann sums and approximate integrals using finite Riemann sums.  • Evaluate definite and indefinite integrals using the Fundamental Theorem of Calculus and the method of substitution. • Compute areas and volumes using definite integrals. • Identify the natural exponential and logarithmic functions as inverses of each other and find their derivatives and integrals. • Solve exponential growth and decay problems arising from biology, physics, chemistry, and other sciences. • Compute derivatives and integrals of functions containing inverse trigonometric functions. • Analyze various indeterminate forms and apply L’Hospital’s rule to evaluate limits of such forms. • Use the Substitution Rule and the Integration by Parts formula to evaluate indefinite and definite integrals.  *Describe and explain special methods required to integrate trigonometric and rational functions. * Apply numerical methods of integration such as Simpson's Rule to approximate definite integrals.

     
    Topical Outline:
    • Integrals
    • Applications of integrals
    • Transcendental functions
    • Techniques of integration
     
    Culminating Experience Statement:

    Material from this course may be tested on the Major Field Test (MFT) administered during the Culminating Experience course for the degree. 
    During this course the ETS Proficiency Profile may be administered.  This 40-minute standardized test measures learning in general education courses.  The results of the tests are used by faculty to improve the general education curriculum at the College.

     

    Recommended maximum class size for this course: 30

     
    Library Resources:

    Online databases are available at http://www.ccis.edu/offices/library/index.asp. You may access them from off-campus using your CougarTrack login and password when prompted.

     
    Prepared by: Suzanne Tourville Date: November 14, 2011
    NOTE: The intention of this master course syllabus is to provide an outline of the contents of this course, as specified by the faculty of Columbia College, regardless of who teaches the course, when it is taught, or where it is taught. Faculty members teaching this course for Columbia College are expected to facilitate learning pursuant to the course objectives and cover the subjects listed in the topical outline. However, instructors are also encouraged to cover additional topics of interest so long as those topics are relevant to the course's subject. The master syllabus is, therefore, prescriptive in nature but also allows for a diversity of individual approaches to course material.

    Office of Academic Affairs
    12/04