All Students should
be aware that the Department of Mathematical Sciences takes the NJIT Honor code
very seriously and enforces it strictly. This means there must not be any
forms of plagiarism, i.e., copying of homework, class projects, or lab
assignments, or any form of cheating in quizzes and exams. Under the
Honor Code, students are obligated to report any such activities to the
Instructor.
Instructor: Prof. Victor Matveev
| E-mail: | m a t v e e v @ n j i t . e d u |
| Office hours: | Wed 11:30am-12:30pm and 4:00pm-5:00pm, Thu 1:30-2:30pm, or by appointment |
| Office location: | 616 Cullimore Hall |
Grading
Policy: The final grade in this
course will be determined as follows:
|
☼
HW and Quizzes |
|
18% |
|
☼
Two Midterms: |
|
24% each |
|
☼
Final Exam: |
|
34% |
Homework Policy:
Homework will not be collected unless I feel
that the class is falling behind on the material. However, I strongly
suggest that the textbook
exercise problems be solved after each lecture as a practice. I also strongly recommend that you
read the textbook on a regular basis in order to review the material covered in class. Exercise
problem lists in the syllabus are given as a guideline only.
Short quizzes will be given throughout the semester, and a take-home project may be assigned at the end
of the semester.
Class Policies:
Attendance and
Participation: Students must attend all classes. Absences
from class will inhibit your ability to fully participate in class discussions
and problem solving sessions and, therefore, affect your grade. Tardiness to
class is very disruptive to the instructor and students and will not be
tolerated.
Makeup Exam
Policy: There
will be no makeup exams, except in rare situations where the student has a
legitimate reason for missing an exam, including illness, death in the family,
accident, requirement to appear in court, etc. The student must notify the Math
office and the Instructor that he/she will miss an exam. In all cases, the
student must present proof for missing the exam, e.g., a doctor's note, police
report, court notice, etc., clearly stating the date AND times.
Cellular
Phones: All cellular phones and
beepers must be switched off during all class times.
Course
Outline and Homework Assignments:
Week 1 (1/18,
1/20)
|
SECTIONS 1.2, 2.1: Pairs of Lines; Systems of
Linear Equations |
|
ª
Exercise Problems: page 25: 1-29; 35-44 page 62: 1-45 |
|
SECTION 2.2: Systems of Linear Equations: Matrix
Method |
|
ª
Exercise Problems: page 78: 21-57;
65-68; 71-79 |
Week 2 (1/25,
1/27)
|
SECTIONS 2.3, 2.5: Systems of Linear Equations;
Multiplication of Matrices |
|
ª
Exercise Problems: page 90: 13-51; 57, 61; page 114: 1-41;
51-59 |
|
SECTION 2.6: The Inverse of a Matrix |
|
ª
Exercise Problems: page 126: 1-49 |
Week 3 (2/1, 2/3)
|
SECTIONS 3.1, 3.2:
Linear Programming: Geometric Approach |
|
ô
Exercise Problems:
page 168: 1-35; 37, 39, 41, 43, 45; |
|
SECTIONS 3.3, 4.1: Applications of Linear Programming; the Simplex Method |
|
ô
Exercise Problems:
page 184: 1-16 |
Week 4 (2/8, 2/10)
|
SECTION 4.2: The Simplex Tableau; Pivoting |
|
ª
Exercise Problems: page 205: 1-27; |
|
SECTION 4.3: The Simplex Method and the Duality
Principle |
|
ª
Exercise Problems: page 224: 1-23,25,26,39; page 236: 1-5, 6,7,9,13,15,17,19,21,23 |
Week 5 (2/15,
2/17)
February 17 – Review and the 1st Midterm Examination
Week 6 (2/22,
2/24)
|
SECTION 5.1, 5.2: Interest; Compound Interest |
|
ª
Exercise Problems: page 276: 1-64; |
|
SECTION 5.3: Annuities; Sinking Funds |
|
ª
Exercise Problems: page 288: 1-38; |
Week 7 (3/1, 3/3)
|
SECTION 5.4: Present Value of an Anuuity; Loans, Mortgages, Amortization
|
|
ª
Exercise Problems: page 299: 1-32; |
|
SECTION 6.1-6.2: Sets; The Number of Elements in a
Set |
|
ª
Exercise Problems: page 325:
1-33; page 330: 1-33 |
Week 8 (3/8, 3/10)
|
SECTION 6.3: The Multiplication Principle |
|
ô
Exercise Problems: page 335:
1-31 |
|
SECTION 6.4-6.5: Permutations and Combinations |
|
ª
Exercise Problems: page 342:
1-45; page 349: 1-41 |
Week 9 No
classes
|
spring
recess: march 13-17, 2005 |
Week 10 (3/22,
3/24)
March 24 – 2nd Midterm
|
SECTION 7.1: Sample Spaces |
|
ª
Exercise Problems: page 373: 1-55 |
Week 11 (3/29,
3/31)
March 27 – Last day to withdraw
from the course
|
SECTION 7.2-7.3: Properties of the Probability |
|
ª
Exercise Problems: page 384:
1-23; page 391: 3-27 |
|
SECTION 7.4-7.5: Conditional Probability and Independent Events |
|
ª
Exercise Problems: page 399: 1-39; page 409:
1-49 |
Week 12 (4/5, 4/7)
|
SECTION 8.1: Bayes’ Formula |
|
ª
Exercise Problems: page 430: 1-39 |
|
SECTION 8.2: The Binomial Probability |
|
ª
Exercise Problems: page 440: 1-45 |
Week 13 (4/12;
No class on 4/14 – Good Friday)
|
SECTION 8.3: Expected Value |
|
ª
Exercise Problems: page 450: 1-29 |
|
SECTION 8.5: Random Variables |
|
ª
Exercise Problems: page 459: 1-12 |
Week 14 (4/19,
4/21)
|
SECTION 9.1: Introduction to Statistics |
|
ª
Exercise Problems: page 472: 1-19; |
|
SECTION 9.2, 9.3: Organization of Data |
|
ª
Exercise Problems: page 478: 1-12; page 491: 1-14 |
Week 15 (4/26,
4/28)
|
SECTION 9.4: Measures of Central Tendency |
|
ª
Exercise Problems: page 502: 1-15 |
|
SECTION 9.5: Measures of Dispersion |
|
ª
Exercise Problems: page 511: 1-23 |
Week 16
5/2, Tuesday: Classes follow Friday Schedule
☼ Review for FINAL EXAM
|
FINAL EXAM
WEEK: maY
4 - 10, 2006 |
Prepared
By: Prof. Victor Matveev
Last revised:
December 30, 2005