12/27/2024 1:30:33 AM	MATH 10 Course Outline as of Fall 1999	Changed Course
CATALOG INFORMATION
Discipline and Nbr:  MATH 10	Title:  NATURE OF MATH
Full Title:  Nature of Mathematics
Last Reviewed:9/23/2024

Units		Course Hours per Week			Nbr of Weeks	Course Hours Total
Maximum	3.00	Lecture Scheduled	3.00		17.5 max.	Lecture Scheduled	52.50
Minimum	3.00	Lab Scheduled	0		6 min.	Lab Scheduled	0
		Contact DHR	0			Contact DHR	0
		Contact Total	3.00			Contact Total	52.50
		Non-contact DHR	0			Non-contact DHR Total	0

Total Out of Class Hours:  105.00

Total Student Learning Hours: 157.50

Title 5 Category:  AA Degree Applicable
Grading:  Grade or P/NP
Repeatability:  00 - Two Repeats if Grade was D, F, NC, or NP
Also Listed As: 
Formerly: 

Catalog Description:

Mathematical reasoning with four additional topics selected from number systems, computers, probability, statistics and mathematical modeling. Recommended for liberal arts and elementary education students.

Prerequisites/Corequisites:
Math 155.

Recommended Preparation:

Limits on Enrollment:

Schedule of Classes Information
Description:

Mathematical reasoning with additional topics selected from number systems, number theory, computers, probability, statistics, mathematical modeling. Recommended for liberal arts and elementary education students.

(Grade or P/NP)
Prerequisites:Math 155.
Recommended:
Limits on Enrollment:
Transfer Credit:CSU;UC.
Repeatability:00 - Two Repeats if Grade was D, F, NC, or NP

ARTICULATION, MAJOR, and CERTIFICATION INFORMATION

Associate Degree:		Effective:	Fall 1981	Inactive:
Area:	B MC	Communication and Analytical Thinking Math Competency
CSU GE:	Transfer Area			Effective:	Inactive:
	B4	Math/Quantitative Reasoning		Fall 1981
IGETC:	Transfer Area			Effective:	Inactive:
	2A	Mathematical Concepts & Quantitative Reasoning		Fall 1981
CSU Transfer:	Transferable	Effective:	Fall 1981	Inactive:
UC Transfer:	Transferable	Effective:	Fall 1981	Inactive:
C-ID:

Certificate/Major Applicable: Not Certificate/Major Applicable

COURSE CONTENT

Outcomes and Objectives:
At the conclusion of this course, the student should be able to:

1. Apply inductive reasoning to patterns and sequences.

2. Apply deductive reasoning, including logic and sets.

3. Define early numeration systems, natural numbers, integers, rationals

  and reals.

4. Define primes numbers, divisibility, and factorization with

applications of prime factorization.

5. Apply software such as spreadsheets, programming interpreters, or

computer algebra or geometric systems.

6. Apply counting techniques,  permutations, combinations, probility

models.

7. Define frequency distributions, measures of central tendency and

dispersion, and normal distribution.

8. Apply types of mathemical models such as linear or quadratic models.

9. Apply linear programming or matrices.

Topics and Scope

1.  Mathematical Reasoning.

    Inductive reasoning including patterns and sequences, deductive

    reasoning including logic and sets.

2.  Number Systems.

    Early numeration systems, natural numbers, integers, rationals and

    reals.

3.  Number Theory.

    Primes, divisibility, and factorization with applications of prime

    factorization.

4.  Computers.

    Hands-on experience with software selected by the instructor,

    might include use of spreadsheets, programming or software exploring

    geometric concepts.

5.  Probability.

    Counting techniques, permutations, combinations, probability

    models.

6.  Statistics.

    Frequency distributions, measures of central tendency and dispersion,

    introduction to the normal curve.

7.  Mathematical Modeling.

    Types of models to be selected by the instructor, but might include

    linear and quadratic models, linear programming or matrices,

    models may be discrete or continuous.

Assignments:

1.  The student will have daily outside reading, problem set assignments

   from required text(s), or instructor chosen supplementary materials.

2.  Instructional methodology may include, but not limited to: lecture,

   demonstrations, oral recitation, discussion, supervised practice,

   independent study, outside project or other assignments.

Methods of Evaluation/Basis of Grade.

Writing: Assessment tools that demonstrate writing skill and/or require students to select, organize and explain ideas in writing.		Writing 0 - 0%
None
This is a degree applicable course but assessment tools based on writing are not included because problem solving assessments and skill demonstrations are more appropriate for this course.
Problem solving: Assessment tools, other than exams, that demonstrate competence in computational or non-computational problem solving skills.		Problem Solving 25 - 75%
Homework problems, Exams
Skill Demonstrations: All skill-based and physical demonstrations used for assessment purposes including skill performance exams.		Skill Demonstrations 20 - 40%
Performance exams
Exams: All forms of formal testing, other than skill performance exams.		Exams 5 - 25%
Multiple choice
Other: Includes any assessment tools that do not logically fit into the above categories.		Other Category 0 - 15%
PROJECT - ORAL OR WRITTEN

Representative Textbooks and Materials:

Text(s) required of each student will be selected by the department,

a committee of the deparment, or the responsible instructor from the

books currently available. Choices in the past have included:

MATHEMATICS, A PRACTICAL ODESSEY, Johnson/Mowry (3rd) Brooks/cole. 1997

MATHEMATICAL PALETTE, Staskow (2nd) Harcourt Brace 1998

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