NJIT HONOR CODE

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.


Course Schedule Link

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

Departmental Information: DMS, Undergraduate Studies

Textbooks:  Mathematics: an Applied Approach, 8th Ed.,  by A. Mizrahi and M. Sullivan, John Wiley and Sons, Inc. 2004, ISBN: 0-471-32784-0


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; page 178:   1-31;  41-47

SECTIONS 3.3, 4.1: Applications of Linear Programming; the Simplex Method

ô   Exercise Problems: page 184:   1-16  page 205:   1-33 

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