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)
A course on the essential techniques of mathematical proof, such as case analysis, contradiction, and induction. Proofs will be written in the context of mathematical foundations (logic, sets, functions, etc.). Emphasis will be placed on developing the ability to write clear and precise arguments, which is useful for students in any major.
Prerequisite(s): Grade of "C" or better in 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
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