Text:  Smith, Eggen, Andre, A Transition To Advanced Mathematics, eighth edition
ISBN-13: 978-1-285-46326-1
 

Office Hours: Office Hours: Mondays 11am-12noon and Thursdays 2pm-3pm, in Room 240, Hill Center, Busch campus. Other good times to talk are right before or right after the class. It is also possible to ask questions by email, which will be generally answered within 24 hours, often sooner. The more detailed your email question is, the more detailed the reply message will be. My email is borisov at rutgers dot edu.
 

Final Examination: There will be a three-hour final examination given at the end of the semester, on May 4, 12noon-3pm. You must take the final examination at the time scheduled by the university; no final exams will be given earlier. In particular, examinations will not be rescheduled because of travel arrangements. It is your responsibility to schedule travel appropriately. If you can not take the final exam due to an emergency, you should let me know as soon as possible.
 

Other examinations: In addition to the final exam, there will be two in-class midterm exams on February 15 and on March 27.
 

Homework: Homework will be collected every Tuesday, unless announced otherwise. Cooperation on homework is allowed and in fact encouraged, but each student must submit their own write-up.
 

Missed exam policy: There are no makeups for missed midterm exams, regardless of the reason for absence. However, if you can not attend the midterm due to a valid reason, for example a medical emergency, the rest of your scores will be used to compensate for the missed test. If you have missed or are about to miss a midterm, you should contact me by email as soon as possible.
 

Miscellaneous: Calculators and notes will not be allowed during the midterms and the final.
 

Grading: The course grades will be computed as follows. Each midterm will be graded on the scale from 0 to 100, and the final will be graded on the scale from 0 to 200. There are 11 collected homework sets, to be graded on the scale 0-10 each. Your best 10 homework subscores will be added, to give you a homework score in the range from 0 to 100.

At the end of the semester, midterm, final and homework scores are added to give your total score, in the range from 0 to 500. The grades are given according to the total scores, with the distribution of grades likely to mimic historical distribution of grades for this course. Improvement towards the end of the semester is not reflected in the semester grade. Two people with the same total scores will receive the same grade, regardless of who did better at the end of the semester.
 

 

Please try to read the relevant textbook sections before the lecture. Be warned that my lectures may differ from the book in emphasis and structure. You are responsible for both lecture and book material unless otherwise stated in class. However, lecture material is deemed more important.
 

January 16 Sections: Appendix on Sets, Number systems and Functions
Homework: p.380: 1(a,b), 2, 3, p.383: 1(c), 3, p.385: 1, 2(c,d), 3.

January 18 Sections: 2.1, 2.2
Homework: p.92: 3(b), 9, 16(c), 19(a,b,c,d,e,f), p.101: 6(a), 9(g), 11, 19

January 23 Previous week's homework is due.
Sections: 1.4, 1.5
Homework: p.39: 4, 7(d,j,l,m), 9(a,b,c,d), 11(a,b,c,d,e); p.48: 5(a,b,c), 10, 12(a,b,c,f)

January 25 Sections: 1.3
Homework: p.26 3, 5, 9, 10, 11(d), 12, 13

January 30 Previous week's homework is due.
Sections: 1.6, 1.7
Homework: p.60 2(a,c), 4(a,b,c,f), 9(a,b,c,d,f,j); p.72 1(a,e,f), 5(a,d), 11(a,b,c,d,e)

February 1 Sections: 2.4
Homework: p.123 4(d,e), 6(b,i,j), 12(f)

February 6 Previous week's homework is due.
Sections: 2.5
Homework: p.134 3, 6, 7(d), 14(a,b,e,f)

February 8 Sections: 1.8
Homework: p.81 6(a,b,c), 15, 17(f), 21(b,c,e,f)

February 13 Previous week's homework is due.
Review for the exam
Homework: practice problems will be assigned; review previous homework assignments.

February 15 ***FIRST MIDTERM EXAM***

February 20 Sections 2.6
Homework: p.147: 3, 5, 6, 7, 8, 10, 11

February 22 Sections 2.6-continued
Homework: p.147: 17, 19, 21(a,c), 22, 24(a,c)

February 27 Previous week's homework is due.
Sections 3.1
Homework: p.161: 2, 5, 11, 14, 17(b,c,f,g)

March 1 Sections 3.2
Homework: p.171: 1, 4, 6, 9, 19(a,b,c)

March 6 Previous week's homework is due.
Sections 3.3
Homework: p.179: 1, 4(b,e,g), 7, 9(a), 15(a,b)

March 8 Sections 3.4
Homework: p.186: 1, 2, 7

March 20 Previous week's homework is due.
Sections 3.4-continued. Fermat's Little Theorem.
Homework: p.186: 8, 9(b,c,d), 12(b,c,d,e);
Prove: For every a with gcd(a,561)=1 there holds a^560 = 1 mod(561). (Note that 561 is not prime)

March 22 review for the exam
Homework: practice problems will be assigned; review previous homework assignments.

March 27 ***SECOND MIDTERM EXAM***

March 29 Sections 3.5
Homework: p.197: 2, 3, 4, 5, 8, 17(a), 22(b,e,f)

April 3 3/20 and 3/29 homework is due.
Sections 4.1
Homework: p.209: 2, 3, 12(a,b), 19

April 5 Sections 4.6
Homework: p.248: 1(e), 5, 6(a,b)

April 10 Previous week's homework is due.
Sections 4.6-continued
Homework: p.249: 6(e,f), 7, 8, 13

April 12 Sections 5.1
Homework: p.268: 4, 11, 13, 21(c,g), 22(c,d)

April 17 Previous week's homework is due.
Sections 5.2
Homework: p.277: 3(g,h), 4(f,g), 5, 7, 8.

April 19 Sections 5.3
Homework: p.284: 12, 13, 14, 15, 16(d,e,f)

April 24 Previous week's homework is due.
Sections 5.4
Homework: p.293: 1, 4, 6, 13

April 26 Review for the final exam
Homework: practice problems will be assigned; review previous homework assignments.

May 4 12noon-3pm, SEC-204, Busch ***FINAL EXAM***