Below is a course syllabus for MA 225 which serves as a guide for the conduct of the course.

The relative weight of exams, homework and final exam are

         Test        40 %

         Homework   35 %

         Final        25 %

The usual NCSU regulations for the conduct of undergraduate courses apply.

In particular, students are expected to abide by the honor code.

Office hours are Monday afternoons by appointment.

MA 225 - Foundations of Advanced Mathematics  

Spring 2008

TEXT:   A   TRANSITION   TO   ADVANCED   MATHEMATICS    by Smith, Eggen & St. Andre, 5 th edition, Brooks/Cole, 2001

The primary goal of Math 225 is to prepare students for upper level courses in mathematics.   The goal is for students to be able to read and understand written mathematical material and to express mathematical ideas clearly.

Throughout the course a strong emphasis will be placed on conjecturing and the verification or rejection of those conjectures through proofs.   The students should be able to apply different techniques of proof and understand when each is appropriate.

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GOALS :  

                Students should

•  Learn to use the basic language of mathematics (log, sets, relations, functions).

•  Learn to outline, write and criticize mathematical proofs about numbers, sets, relations, functions, and cardinality.

CONTENT:

Chapter 1          Logic and Proofs - all sections

                      (3- 4 weeks)              

Chapter 2          Sets - Sections 2.1-2.5 (3-4 weeks)

Chapter 3          Relations - Sections 3.1 and 3.2

                      (1-2 weeks)

Chapter 4          Functions - Sections 4.1-4.3

                      (2-3 weeks)

Chapter 5          Cardinality - Sections 5.1-5.3

                      (2-3 weeks)