Yuba Community College District
Yuba College Course Outline
Course Information
Course Number:
MATH 10
Full Course Title:
Liberal Arts Mathematics
Short Title:
Liberal Arts Math
Effective Term:
Fall 2012
Course Standards
Lecture Hours:
54.000
Total Units:
3.000
Total Hours:
54.00
Repeatable:
No
Grading Method:
Letter Grade Only
Course Description
Designed for students majoring in areas other than science, math, or business to give appreciation and insight into structure and applications of math. Some typical topics, to be chosen by instructor, may include probability and statistics, sequences and series, population growth, graph theory, geometry and topology, number theory, history of math, finance math, voting methods and apportionment. (L,M)Conditions of Enrollment
Completion with a C or better in: MATH 52 or. Other: (Placement Exam Score)a satisfactory score on the mathematics placement test.

Advisories

Language  recommended eligibility for English 1A

Mathematics  recommended eligibility for Math 52
Content
Course Lecture Content
At least four topics (preferably at least five) to be chosen by the instructor. Topics to be chosen from the following list:
 Probability and statistics.
 Sequences and series.
 Population models
 Finance math
 Game theory
 Linear programming
 Inductive and deductive reasoning, problemsolving strategies, methods of proof.
 Logic
 Set theory
 Graph theory
 Euclidean plane and solid geometry. The Platonic solids. Euler's characteristic.
 NonEuclidean geometry.
 Iteration functions and fractal geometry.
 Topology.
 Voting and apportionment. Fair division
 History of mathematics
 Numeration and mathematical systems
 Number theory
 Transformational Geometry
 Growth and form; symmetry and patterns, tilings
Objectives

Demonstrate a good understanding of the topics chosen for the course. For example:

Find probabilities and odds; compute mean, median, mode, standard deviation.
**Requires Critical Thinking**

Find formulas for sequences; make sound conclusions about series.

Model populations

Amortize loans; compute compound interest; find present values.
**Requires Critical Thinking**

Find a winning strategy.

Use linear programming for optimization problems.

Find patterns, reason deductively, formulate proofs.
**Requires Critical Thinking**

Use truth tables.
**Requires Critical Thinking**

Find set unions, intersections, complements, use Venn diagrams; count using oneone correspondences.

Identify Euler and Hamiltonian circuits.
**Requires Critical Thinking**

Use straightedge and compasses (constructive geometry); prove geometric theorems (demonstrative geometry); name the Platonic solids.
**Requires Critical Thinking**

Iterate functions

Create Mobius strip and Mobius strip derivative (by cutting).

Tally votes and rank; perform fair division.

Demonstrate a general knowledge of the history of mathematics

Perform calculations using clock arithmetic or modular system.

Represent quantities using different numerical systems.

Recognize Fibonacci sequence and golden ratio in patterns
Student Learning Outcomes
 Critical Thinking â€“Demonstrate an understanding of a variety of mathematical ideas and systems.
Methods of Instruction

Lecture/Discussion

OtherGroup work is recommended.
Assignments
Hours per week on assignments outside of the class:
Reading Assignments
Writing Assignments
Other Assignments
May include journal, term paper, homework
Methods of Evaluation
 Homework
 Oral Tests/Class Performance
 Quizzes
 Research Project
Course Materials
Textbooks:

P. Tannenbaum. Excursions in Modern Mathematics, 7th ed. Pearson, 2010, ISBN: 9780321568038
Other:
 Instructor dependent. May include a graphing calculator, straightedge and compasses, paper construction materials.