| 7/4/2025 1:08:51 AM |
| 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:
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A survey course in mathematical concepts and mathematics in culture. Topics to include mathematical reasoning and four additional topics selected from number theory, probability, statistics, mathematical modeling, contemporary applications, geometry, and the history of mathematics. Recommended for liberal arts students.
Prerequisites/Corequisites:
Completion of MATH 161 or MATH 154 or MATH 156 or MATH 155 or AB705 placement into Math Tier 1 or higher
Recommended Preparation:
Limits on Enrollment:
Schedule of Classes Information
Description:
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A survey course in mathematical concepts and mathematics in culture. Topics to include mathematical reasoning and four additional topics selected from number theory, probability, statistics, mathematical modeling, contemporary applications, geometry, and the history of mathematics. Recommended for liberal arts students.
(Grade or P/NP)
Prerequisites:Completion of MATH 161 or MATH 154 or MATH 156 or MATH 155 or AB705 placement into Math Tier 1 or higher
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:
Major Applicable Course
Approval and Dates
| Version: | 06 | Course Created/Approved: | 8/1/1981 |
| Version Created: | 9/23/2018 | Course Last Modified: | 5/31/2025 |
| Submitter: | Ivana Gorgievska | Course Last Full Review: | 9/23/2024 |
| Version Status: | Approved Changed Course | Prereq Created/Approved: | 9/23/2024 |
| Version Status Date: | 10/22/2018 | Semester Last Taught: | Spring 2025 |
| Version Term Effective: | Summer 2019 | Term Inactive: | Fall 2025 |
COURSE CONTENT
Student Learning Outcomes:
At the conclusion of this course, the student should be able to:
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1. Apply the principles of inductive and deductive reasoning.
2. Demonstrate proficiency in mathematical skills and conceptual understanding within four
of the following topics: number theory, probability, statistics, mathematical modeling,
contemporary applications, geometry, and the history of mathematics.
3. Apply mathematical concepts to a variety of real-world problems.
Objectives:
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At the conclusion of this course, the student should be able to:
1. Define inductive reasoning, and apply to patterns and sequences.
2. Define deductive reasoning, and apply to logic and sets.
3. Demonstrate ability to perform four of the following objectives:
A. Define various sets of numbers and use number systems of different bases.
B. Apply counting techniques, permutations, combinations, and probability models.
C. Define frequency distributions and measures of central tendency and dispersion, and create
graphical displays of data.
D. Apply mathematical models such as linear, quadratic, exponential, and logarithmic, to
real-world problems.
E. Understand topics within contemporary mathematics, such as voting and apportionment,
financial mathematics, graph theory, linear programming, and applications of matrices.
F. Define and apply concepts of areas, volumes, Euclidean and non-Euclidean geometry, and
selected other topics in geometry.
G. Describe the historical development of mathematics, the role of theorem and proof in
mathematical thought, and significant mathematical results and mathematicians.
Topics and Scope
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I. Mathematical Reasoning
A. Inductive reasoning
1. Patterns
2. Sequences
B. Deductive reasoning
1. Logic
2. Sets
Four additional topics chosen from II through VIII.
II. Number Theory
A. Sets of numbers (e.g. prime, perfect, amicable, etc.)
B. Numeration systems and number bases
C. Additional topics may be chosen from identification numbers, encoding data,
modular arithmetic, and cardinal numbers
III. Probability
A. Counting techniques
B. Rules of probability
C. Conditional probability
D. Probability models and simulations
IV. Statistics
A. Frequency distributions
B. Measures of central tendency and dispersion
C. Graphical display of data
D. Additional topics may be chosen from normal curve, estimation, and margin
of error
V. Mathematical Modeling
A. Linear, quadratic, exponential, and logarithmic models
B. Regression models
VI. Contemporary Applications - Types of Applications to be Chosen by Instructor, but Could
Include One or More of the Following:
A. Linear programming
B. Matrices
C. Financial mathematics
D. Voting and apportionment
E. Graph theory
VII. Geometry
A. Areas and volumes
B. Euclidean geometry and deductive systems
C. Non-Euclidean geometry
D. Additional topics may be chosen from conic sections, trigonometry, fractal
geometry, polyhedra, symmetry and tesselations
VIII. History and Culture of Mathematics
A. Overview of the historical development of mathematics
B. Role of theorem and proof in mathematical thought
C. Significant mathematical results and mathematicians
Assignments:
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1. Reading outside of class (approximately 20-50 pages per week)
2. Problem set assignments from required text(s) or supplementary materials chosen by the
instructor (approximately 1-6 per week)
3. Quizzes (approximately 0-4 per week)
4. Exams (3-8)
5. Projects (for example computer explorations or modeling activities (0-10)
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 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
5 - 25% |
| Problem sets, projects | |
| Skill Demonstrations: All skill-based and physical demonstrations used for assessment purposes including skill performance exams. | Skill Demonstrations
0 - 0% |
| None | |
| Exams: All forms of formal testing, other than skill performance exams. | Exams
75 - 95% |
| Exams and quizzes | |
| Other: Includes any assessment tools that do not logically fit into the above categories. | Other Category
0 - 0% |
| None | |
Representative Textbooks and Materials:
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Thinking Mathematically. 6th ed. Blitzer, Robert. Pearson. 2014 (classic)
Mathematics: A Practical Odyssey. 7th ed. Johnson, David and Mowry, Thomas. Cengage. 2012 (classic)
OTHER REQUIRED ELEMENTS
| Student Preparation |
| Matric Assessment Required: | M | Requires Math Assessment |
| Prerequisites-generate description: | U | User Generated Text |
| Advisories-generate description: | NA | No Advisory |
| Prereq-provisional: | N | NO |
| Prereq/coreq-registration check: | Y | Prerequisite Rules Exist |
| Requires instructor signature: | N | Instructor's Signature Not Required |
| | | |
| BASIC INFORMATION, HOURS/UNITS & REPEATABILITY |
| Method of instruction: | 02 | Lecture |
| | 71 | Internet-Based, Simultaneous Interaction |
| | 72 | Internet-Based, Delayed Interaction |
| Area department: | MATH | Mathematics |
| Division: | 73 | Science, Technology, Engineering & Mathematics |
| Special topic course: | N | Not a Special Topic Course |
| Program Status: | 1 | Major Applicable Course |
| Repeatability: | 00 | Two Repeats if Grade was D, F, NC, or NP |
| Repeat group id: | | |
| | | |
| SCHEDULING |
| Audit allowed: | N | Not Auditable |
| Open entry/exit: | N | Not Open Entry/Open Exit |
| Credit by Exam: | N | Credit by examination not allowed |
| Budget code: Program: | 0000 | Unrestricted |
| Budget code: Activity: | 1701 | Mathematics-General |
| | | |
| OTHER CODES |
| Disciplines: | Mathematics |
| Basic Skills: | N | Not a Basic Skills Course |
| Level below transfer: | Y | Not Applicable |
| CVU/CVC status: | Y | Distance Ed, Not CVU/CVC Developed |
| Distance Ed Approved: | Y | Hybrid (i.e., a mix of face-to-face and technology-based instruction) |
| Emergency Distance Ed Approved: | Y | Fully Online
Partially Online
Online with flexible in-person activities
|
| Credit for Prior Learning: | N | Agency Exam |
| N | CBE |
| N | Industry Credentials |
| N | Portfolio |
| Non-credit category: | Y | Not Applicable, Credit Course |
| Classification: | Y | Liberal Arts and Sciences Courses |
| SAM classification: | E | Non-Occupational |
| TOP code: | 1701.00 | Mathematics, General |
| Work-based learning: | N | Does Not Include Work-Based Learning |
| DSPS course: | N | NO |
| In-service: | N | Not an in-Service Course |
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