Palomar Logo Effective Term: Fall 2007
Status: Historical
 
PALOMAR COLLEGE
 COURSE OUTLINE FOR CREDIT COURSE
 
  • Courses numbered 1 - 49 are remedial or college preparatory courses which do not apply toward an A. A. Degree and are not intended for transfer.
  • Courses numbered 50-99 apply toward an AA Degree, but are not intended for transfer.
  • Courses numbered 100 and higher apply toward an AA Degree and/or are intended for transfer to a four-year college or university.
 
Course Number and Title: MATH 100 Exploring Mathematics
 

Unit Value: 3  

Lecture Hours Per Week: 3  

Lab Hours Per Week:  

Lecture/Lab Hours Per Week:  

 

Grading Basis: Grade/Pass/No Pass
 
Basic Skills Requirements: Appropriate Language and/or Computational Skills.
 
Requisite(s)
To satisfy a prerequisite, the student must have earned a letter grade of A, B, C or P(Pass) in the prerequisite course, unless otherwise stated.
Prerequisite:
A minimum grade of 'C' in MATH 56 or A minimum grade of 'C' in MATH 60 or eligibility determined through the math placement process
Corequisite:
None
Prerequisite: Completion of, or concurrent enrollment in
None
Recommended Preparation:
None
Limitation on Enrollment:
None
Catalog Description:
Selected topics from logic, modern algebra, number theory and geometry. Designed to give the student an introduction to the structure of mathematics and its applications. Recommended for liberal arts students.
 
Specific Course Objectives:
Upon successful completion of the course the student will be able to:
  1. Use inductive reasoning to make conjectures concerning number patterns and mathematical relations.
  2. Use problem-solving strategies to analyze and solve mathematical problems and applications.
  3. Analyze arguments to determine whether they are valid or invalid.
 
Methods of Instruction:
Methods of Instruction may include, but are not limited to, the following:
  1. Lecture
 
Content in Terms of Specific Body of Knowledge:

At least the following topics will be covered.

  1. Numerations Systems: Historical numeration systems; the Hindo-Arabic numeration system; number systems other than base ten, such as the binary, the octal, and the hexadecimal systems.

  2. Logic: Logical reasoning and the determination of valid arguments.

  3. Set Theory: Union, intersection,subsets, Venn Diagrams, Cardinalities.

  4. Number theory: Prime numbers, divisibility tests, perfect numbers, Fermat's Last Theorem, the Fibonaaci Sequence, and the golden ratio.

  5. Additional topics may be included at instructor's discretion.

Textbooks/Resources:
May Include Textbooks, Manuals, Periodicals, Software, and Other Resources
  1. Miller, Charles, Vern Heeren, and John Hornsky, Jr. Mathematical Ideas. 10th ed. San Diego: Scott Foresman Publishing Company, 2004.
Required Reading:
 
Suggested Reading:
 
Critical Thinking:
Students will be able to critically analyze problems arising in mathematics and formulate appropriate problem-solving strategies and solutions
 
Required Writing:
Problem-solving exercises on homework assignments and written tests are appropriate. In addition, students may be required to write reports from one paragraph to several pages explaining concepts or explaining and interpreting solutions to non-routine or applied problems.
 
Outside Assignments:
Students are expected to spend a minimum of three hours per unit per week in class and on outside assignments, prorated for short-term classes.

Students are expected to read the text, study lecture notes, and complete daily homework assignments. Homework assignments may include practice solving routine problems, explaining concepts, and solving application or non-routine problems. Other outside assignments may include problem-solving reports or journals.
 
Methods of Assessment:
Methods of Assessment may include, but are not limited to, the following:
  • Exams/Tests
  • Homework
  • Papers
 
Open Entry/Open Exit:
No, course is not offered as open entry/open exit.
 
Is Course Repeatable for Reason(s) Other Than Deficient Grade? No
 
Contact Person: Fariheh Towfiq