Academic Bulletin 2020-22

Page 84

MATH 374 Modal Logic An introduction to the structure and techniques of the logic of necessity and possibility from an axiomatic standpoint. Topics include sentential modal logic and the systems T, S4, and kS5; validity; decision procedures and completeness; and quantified modal logic. Prerequisite: MATH 373 or permission of the instructor. MATH 375 Mathematical Logic Development of the principal topics of mathematical logic. Through an axiomatic approach, the course treats the foundations of mathematics and illustrates the power as well as the limitations of mathematical reasoning. Topics include propositional and quantificational logic from an axiomatic standpoint; formal number theory; recursive functions, Gödel’s theorem, and recursive undecidability; and an introduction to axiomatic set theory. Prerequisite: MATH 373 or permission of the instructor. MATH 401 Real Analysis This course is a rigorous introduction to the fundamental theorems of the introductory calculus courses. It aims to develop in the student a sense of the unity of mathematics and further expose him to the importance of rigorous proof in mathematics. Topics include: the real number system, sequences and limits, continuity of functions, the derivative, and the Riemann integral. Required of all majors. (4 credit hrs). MATH 402 Abstract Algebra This course is an introduction to the ideas of modern algebra which enables one to reinterpret the results of classical algebra, giving them a greater unity and generality. Topics include: equivalence relations, functions, properties of the integers, groups, rings, integral domains, ideals, and fields. Required of all majors. MATH 409 Number Theory An algebraic and historical approach to the theory of numbers. Topics include: the natural numbers and their properties, the Euclidean Division Algorithm, unique prime factorization, modular arithmetic, RSA Encryption, the Gaussian integers and other quadratic integer rings, and the Law of Quadratic Reciprocity. Prerequisite: MATH 351. Counts toward the mathematics major. (3 credits) MATH 490-99 Special Topics or Directed Studies in Mathematics A topic chosen according to the interests of the students and the instructor, such as: applied mathematics, game theory, discrete mathematics, number theory, philosophy of mathematics, history of mathematics. MATH 509 Senior Seminar A seminar on topics in mathematics to be determined by the instructor in consultation with the students. The student gains experience in learning the development of a topic, research methods, organizing and writing a mathematical paper. (1 credit hr) Math 512 Senior Thesis Direction of the students with his senior thesis, a major scholarly paper on a mathematical topic of his interest. The student receives instruction and individual assistance in development of a topic, research methods, organizing and writing a mathematical paper.   84


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CHRISTENDOM PRESS

1min
page 133

ADVISORS TO THE BOARD

6min
pages 139-146

SUMMER STUDY ABROAD INITIATIVES

0
page 132

Transfer Credit Policy

2min
pages 119-120

ADVANCED STUDIES

1min
page 116

EDUCATION FOR A LIFETIME

0
page 113

TEACHER FORMATION PRACTICUM

1min
page 115

Requirements for the Theology Major and Minor

2min
page 107

JUNIOR SEMESTER IN ROME COURSES

1min
page 114

THEOLOGY

2min
page 106

Advanced Courses

9min
pages 102-105

Advanced Courses

7min
pages 96-99

Foundational Curriculum

2min
page 101

PHILOSOPHY

1min
page 94

Requirements for the Liturgical Music Minor

2min
page 91

Foundational Curriculum and Advanced Courses

4min
pages 92-93

Natural Science Courses

4min
pages 86-88

MUSIC

1min
page 90

Advanced Courses

3min
pages 84-85

Foundational Curriculum

2min
page 83

Requirements for the Mathematics Major and Minor

1min
page 82

ENGLISH LANGUAGE AND LITERATURE

0
page 66

MATHEMATICS AND SCIENCE

1min
page 81

Foundational Curriculum

2min
page 68

Advanced Courses

9min
pages 69-72

Requirements for the Literature Major and Minor

2min
page 67

Greek

2min
page 63

Requirements for the Classical and Early Christian Studies Major and Minor

2min
page 60

Latin

4min
pages 61-62

Sexual Harassment

2min
page 58

THE CORE CURRICULUM AT A GLANCE

1min
pages 39-40

PARTICIPATION IN GRADUATION CEREMONIES

1min
page 44

Junior Year Core Curriculum

1min
page 38

Career Opportunities: Non-Academic Careers

4min
pages 33-34

ACHIEVING BALANCE: TECHNOLOGY AT CHRISTENDOM COLLEGE

2min
page 31

LIBRARY

2min
page 27

CHRISTENDOM STUDENTS WITH LEARNING DISABILITIES

2min
pages 29-30

STUDENT ACTIVITIES

2min
page 24

ST. THOMAS AQUINAS AND THE CURRICULUM

1min
page 21

A CATHOLIC EDUCATION

2min
page 17

A PERSONAL EDUCATION

2min
page 18

AN EDUCATION PRODUCTIVE OF RELIGIOUS VOCATIONS

2min
page 20

EDUCATIONAL PRINCIPLES

2min
page 16

AN EDUCATION FOR THE LAITY

2min
page 19

CAMPUS

2min
page 13

CHRISTENDOM COLLEGE: AN OVERVIEW

3min
pages 11-12

WELCOME TO CHRISTENDOM

1min
page 10
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