# SRJC Course Outlines

 9/14/2024 8:37:39 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:10/22/2018

 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
Repeatability:  00 - Two Repeats if Grade was D, F, NC, or NP
Also Listed As:
Formerly:

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

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: BMC Communication and Analytical ThinkingMath 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:
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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
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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:
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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. Writing0 - 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 Solving25 - 75% Homework problems, Exams Skill Demonstrations: All skill-based and physical demonstrations used for assessment purposes including skill performance exams. Skill Demonstrations20 - 40% Performance exams Exams: All forms of formal testing, other than skill performance exams. Exams5 - 25% Multiple choice Other: Includes any assessment tools that do not logically fit into the above categories. Other Category0 - 15% PROJECT - ORAL OR WRITTEN

Representative Textbooks and Materials:
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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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