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Master Syllabus

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Administrative Unit: Computer and Mathematical Sciences Department
Course Prefix and Number: MATH 494
Course Title: Senior Seminar in Mathematics
Number of:
Credit Hours 3
Lecture Hours 3
Lab Hours 0
Catalog Description: A seminar course required as a culminating experience for mathematics majors. Students prepare and present a portfolio following departmental guidelines to document achievement of the learning goals for the mathematics major. Additionally, students present a lecture on a topic not covered in core courses in consultation with the instructor and take the Major Field Test for Mathematics. Grade of C or higher required. Prerequisite: Senior standing.
Prerequisite(s) / Corequisite(s): Senior standing.
Course Rotation for Day Program: Offered Fall and Spring.
Course Objectives
  • To understand the theory and application of algebra and analysis.
  • To write a computer program in a high-level language to solve a mathematical problem.
  • To identify and apply appropriate technologies to solve mathematical problems.
  • To write rigorous mathematical proofs.
  • To solve real-world problems from a variety of disciplines using mathematical techniques.
  • To approach a topic in calculus from the four perspectives: numerical, graphical, analytical, and verbal.
    Measurable Learning
  • Demonstrate a fluency in the language of mathematics and with the fundamental results of analysis and algebra.
    Topical Outline: The Major Field Test in Mathematics will be administered and students will make the following presentations (all materials will be archived in the students’ portfolios):
  • Write a computer program to implement a mathematical algorithm
  • Demonstrate an example of solving a mathematical problem using technology
  • Present a summary and critique of a selection of proofs written for the core courses of Linear Algebra, Abstract Algebra, Probability Theory, and Advanced Calculus
  • Present a lecture on a topic not covered in core courses in consultation with the instructor
  • Present three examples of solving problems in other disciplines using mathematics
  • Present a topic from analysis demonstrated from the four viewpoints

    Culminating Experience Statement:

    Material from this course may be tested on the History Assessment Test (HAT) 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: 10

    Library Resources:

    Online databases are available at You may access them from off-campus using your CougarTrack login and password when prompted.

    Prepared by: Suzanne Tourville Date: April 2, 2008
    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.

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