INSTITUTE OF MATHEMATICS
College of Science
University of the Philippines Diliman
Math 10 Course Syllabus
A. Course Catalogue Description
Course Number Math 10
Course Title Mathematics, Culture and Society
Course Description Appreciation of the beauty and power of mathematics through the exam-
ination of its nature, development and utility, and its relationship with
culture and society
Prerequisite None
Course Credit 3 units
Number of Hours 3 hours/week
B. Course Content
I. Introduction
1. Overview of the course
2. Numeracy and quantitative literacy
3. Student and public attitudes and perceptions of math
4. Preliminary reflections on the nature and practice of math
II. Nature of Math: Math as a Language, Way of Thinking, Creative Activity, and Tool
1. Logic and reasoning
2. Philosophical foundation: Platonism, formalism: is math created or discovered?
3. Abstraction, symbols
4. Axiomatic systems, rigor, proof, and truth in mathematics
5. Sets: finite and infinite
6. Numbers
a. Numeration systems
b. Real numbers, modular number systems
7. Shapes
a. Euclid’s geometry and the discovery of non-euclidean geometries
b. Finite and other modern geometries
8. Functions
a. Change, growth, and mathematical modeling
b. Deterministic, probabilistic/stochastic behavior
c. A peek into the calculus
9. Mathematics as the science of patterns
III. Utility and Ubiquity: math in different disciplines
1. Arts and Humanities
a. Math in visual arts and design
b. Math in music and dance
c. Math in literature
d. Math in folk and popular culture
2. Social Sciences
a. Voting theory and the math of social choice
b. Game theory and analysis of conflict and competition
c. Group theory and kinship relations
d. Social networks, small world networks, and the use of graphs
