Fundamentals of Mathematics

Applications Open: 01 October 2024

Applications Close: 15 November 2024

Next Available Intake: January 2025

Course Types: Modular Undergraduate Course

Language: English

Duration: 6 months

Fees: $1392 View More Details on Fees

Area of Interest: Science and Technology

Schemes: Alumni Continuing Education (ACE)

Funding: To be confirmed

School/Department: School of Science and Technology

Apply Now Bookmark

Synopsis

MTH105 Fundamentals of Mathematics will introduce students to the language, notions and methods upon which a sound education in mathematics at the university level is built. Students will be exposed to the language of mathematical logic, the idea of rigorous mathematical proofs and fundamental mathematical concepts such as sets, relations and functions.

Level: 1
Credit Units: 5
Presentation Pattern: EVERY REGULAR SEMESTER

Topics

Predicates
Quantified Statements
Direct Proof
Counterexamples
Contradiction and Contraposition
Algorithms
Sets
Set Theoretic Operations
Mathematical Induction
Relations
Equivalence Relations
Functions

Learning Outcome

Show certain mathematical statements by rigorous mathematical arguments.
Give counterexamples to disprove certain mathematical statements.
Use mathematical induction or well ordering principle to prove mathematical statements.
Describe equivalence classes of a given equivalence relation.
Employ truth tables to determine whether given arguments are valid.
Determine whether given functions are injective and/or surjective.

Part-time Programmes / CET Courses

Singapore University of Social Sciences

Fundamentals of Mathematics