TEXT: Ross, Erwin Kreyszig,

COURSE DESCRIPTION:

This course introduces the student to a rigorous development of the real number system and the theory of Calculus on the real number line. Topics include: basic set theory, the real number system, sequences and series, limits and continuity, the derivative, the Riemann Integral, the Fundamental Theorem of Calculus, and sequences and series of functions.

PREREQUISITES: Modern Algebra (MAT381 or equivalent).

COURSE OBJECTIVES: The objective of this course is the rigorous treatment of functions of real variables, their derivatives and integrals and the preparation for the study of these topics at the graduate level.

LEARNING OUTCOMES:
At the end of the semester, students will be able to:

• compare natural numbers, integers, real and complex numbers with regards to their algebraic structure, ordering and completeness,
• describe and use basic topological concepts, including open sets, closed sets and compact sets in metric spaces, equations in finite domains,
• define and compute sequenes and series,
• compute limits,
• describe continuity,
• calculate derivatives of functions and differential forms,
• compare the concepts of Riemann and Lebesgue integrals,
• describe Hilbert and Banach spaces.

OFFICE HOURS:

T 2-4PM   R 3-4PM   DON2275     W 4-5PM   A133

GRADES:

Test (Feb. 8) Test (March 15) Test (April 12) Final (cumulative)

30 points 30 points 30 points 40 points

A+ >= 97 pts A = 93,...,96 pts A- = 90,...,92 pts etc.

The lowest test score will be dropped. Alternatively, you can work in project based mode and have the project count for your grade or a part of your grade.

Accommodations for Students with Disabilities registered at SUNY Polytechnic Institute
In compliance with the Americans with Disabilities Act of 1990 and with Section 504 of the Rehabilitation Act, SUNY Polytechnic Institute is committed to ensuring educational access and accommodations for all its registered students seeking access to meet course requirements and fully participate in programs or activities. SUNY Poly students with documented disabilities and medical conditions are encouraged to request these services by registering with the Disability Services Office and discussing your need for accommodations. For information or an appointment contact  Suzanne Sprague at the Disability Services Office, located in room B101 Kunsela Hall or by phone (315) 792-7170; or e-mail suzanne.sprague@sunyit.edu.