Math 215, Summer 2009 

Introduction to Advanced Mathematics

10AM--11:40AM, M W F in LEC A4

Daily assignments, comments, etc: updated periodically; last update 05/26/2009


 

Course Description and Prerequisites

Text and Author: ``An Introduction to Mathematical Reasoning, numbers, sets and functions ", by Peter Eccles, Cambridge University Press.

Basic topics covered: Formal statements, types of proofs, the induction principle, sets, quantifiers, functions, counting and number systems, the division and Euclidean algorithms.

Credit hours: 3 hours.

Prerequisites: Grade of C or better in MATH 181 and approval of the Department..

Grading and Comments

Grading:  Written Homework (8) 20%; Hour Tests (2) 40%; Final Examination 40%.

Written Homework:  Written homework assignments are due at the beginning of class on indicated dates. Solutions to written homework problems will be posted on the course homepage.

It is suggested that you do as many of the problems in the text as you can. These are NOT to be turned in.

Academic Honesty: Students are expected to be thoroughly familiar with the University's policy on academic integrity. See the ``Guidelines Regarding Academic Integrity" section in the  2007-2009 Undergraduate Catalog. The University has instituted serious penalties for academic dishonesty. We have encouraged you to work with your classmates on homework. Regarding written assignments, hour exams, and the final examination: Copying work to be submitted for grade, or allowing your work to be submitted for grade to be copied, is considered academic dishonesty.

Students with Disabilities: It is University policy that students with disabilities who require accommodations for access and participation in this course must be registered with the Office of Disability Services (ODS); phone number 312-413-2103.

Syllabus

Chapters 1--16 as indicated.
 
Daily Assignments,Written Homework, and Comments

 

Week        Date    Sections: Pages       Comments


1               06/15    1: 1--9          

 

                  06/17   06/18 2: 10--20                

                  06/19   3: 21--26                                    Homework 1 due                               
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2                06/22  3: 27--29, 4: 30--32


                  06/24  4: 33--38, 5: 39--43           

                  06/26  5: 44--52                             Homework 2 due                     
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3                06/29  6: 61--67  
          
                  07/01  Hour Test I (Chapters 1--5), 6: 68--70   

                  07/03   Independence Day Holiday **** no classes
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4                07/06  6: 70--72, 7: 74--76                Homework 3 due   


                  07/08  7: 77--83   

                  07/10  7: 83--86, 8: 89--94                   Homework 4 due  
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5                07/13  8: 94--99, 9: 101--106      
 
                  07/15  9: 106--113

                                                    
                  07/17 10: 123--132                                Homework 5 due    
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6                07/20 11: 133--142    

 

                  07/22 12 : 144--153      


                  07/24 12: 153--155, 13: 157--162         Homework 6 due                               
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7                07/27  13: 162--169, 14: 170--173          

 

                  07/29  Hour Test II (Chapters 6--12), 14: 173--176   

 

                  07/31   14: 176--181, 15: 191--195      Homework 7 due   
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8                08/03 15: 195--197, 16: 199-203; 


                  08/05 16: 204--206, review                 Homework 8 due   
 
                  08/07   Final examination (8AM--10AM, LEC A4)

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 Last updated May 26, 2009, by David Radford