MATH 109Mathematical Reasoning
This course uses a variety of topics in mathematics to introduce the students to rigorous mathematical proof, emphasizing quantifiers, induction, negation, proof by contradiction, naive set theory, equivalence relations and epsilon-delta proofs. Required of all departmental majors.
Prerequisites
From the catalog: “MATH 18 or MATH 20F or MATH 31AH, and MATH 20C. Students who have not completed listed prerequisites may enroll with consent of instructor.”
Where it sits in degree plans
Suggested plans most often put it in Year 2 · Spring (1 program).
Required in (5)
- Mathematical Biology
- Mathematics (Applied) (B.S.)
- Mathematics—Applied Science (B.S.)
- Mathematics—Secondary Education (B.A.)
- Probability and Statistics (B.S.)
One of the options in (2)
- Artificial Intelligence
- Computer Science (B.S.)
Courses that list MATH 109 as a prerequisite (17)
- CSE 105 Theory of Computability
- ECON 109 Game Theory
- ECON 149 Introduction to Economic Design
- MATH 100A Abstract Algebra I
- MATH 103A Modern Algebra I
- MATH 105 Basic Number Theory
- MATH 111A Mathematical Modeling I
- MATH 121A Foundations of Teaching and Learning Mathematics I
- MATH 140A Foundations of Real Analysis I
- MATH 142A Introduction to Analysis I
- MATH 153 Geometry for Secondary Teachers
- MATH 154 Discrete Mathematics and Graph Theory
- MATH 158 Extremal Combinatorics and Graph Theory
- MATH 170A Introduction to Numerical Analysis: Linear Algebra
- MATH 180B Introduction to Stochastic Processes I
- MATH 184 Enumerative Combinatorics
- MATH 188 Algebraic Combinatorics