A formal approach to limits, continuity, differentiation, and integration with emphasis on the proofs of theorems. Additional topics may include topology, uniform continuity, and uniform convergence.
Prerequisite(s): Grade of "C" or better in MATH 2200 Foundations of Modern Mathematics and MATH 1610 Calculus II.
(Normally offered spring of even-numbered years.)
MATH 2200 Foundations of Modern Mathematics (3 hours)
This course develops some of the most fundamental ideas and techniques underpinning all of mathematics. We will investigate questions such as: What is the structure of deductive logic? How do mathematicians ascertain and communicate truth? How are numbers and infinities constructed? Are there limits to mathematical understanding? Emphasis will be placed on strengthening the ability to write clear, precise arguments in the context of mathematical foundations (logic, numbers, sets, functions, etc.). This course is open to students from all majors and requires no specific mathematics background.
Prerequisite(s): MATH 1100 College Algebra or MATH 1300 Statistics or MATH 1600 Calculus I or permission of the instructor.
(Normally offered each spring semester.)
Archway Curriculum: Foundational Literacies: Mathematical Problem Solving
Archway Curriculum: Essential Connections: Writing Instructive
Archway Curriculum: Integrative Core: Science and Religion Thread
MATH 1610 Calculus II (5 hours)
A continuation of MATH 1600 Calculus I. Topics studied include integration techniques and applications, differential equations, numerical approximations, sequences and series, and vectors. Assignments are given that help build proficiency in the use of a computer algebra system.
Prerequisite(s): Permission of the department chair or grade of "C" or better in MATH 1600 Calculus I.
(Normally offered each semester.)
Archway Curriculum: Foundational Literacies: Mathematical Problem Solving