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. Ren
» Textbook: Linear Algebra and Its Applications (3rd Updated Ed.), by David C. Lay; ISBN: 0-321-28713-7.
» Grading Policy: The final grade in this course will be determined as follows:
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╚ Homework, Quizzes, and Projects: |
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22% |
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╚ Two Common Midterms: |
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44% |
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╚ Final Exam: |
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34% |
Your final letter grade will be based on the following tentative curve:
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A |
90-100 |
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C |
60-69 |
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B+ |
85-89 |
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D |
50-59 |
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B |
80-84 |
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F |
0-49 |
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C+ |
70-79 |
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This curve may be adjusted slightly at the end of the semester. Also note that the University Drop Date March 30, 2009 deadline will be strictly enforced.
» Homework, Quiz & Project Policy: It is vital that you complete and turn in all the homework assignments on time. The homework assignments will be graded and returned to you. You can find the list of the recommended homework exercises for each lecture in the Course Outline section. On alternate weeks the instructor will assign homework for submission and quizzes. There also will be two MATLAB assignments from the textbook CD given during the semester.
» Attendance: Attendance at all classes will be recorded and is mandatory. Please make sure you read and fully understand the Department’s Attendance Policy. This policy will be strictly enforced. NOTE: Tardiness to class counts as a half absence. For additional details, please click here.
» Exams: There will be two common midterm exams during the semester and one common final exam during the final exam week. Midterm exams are held on Wednesdays on the following days:
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Exam 1 |
February 18, 2009 |
4:15 – 5:40pm |
5:45pm to 7:10pm |
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Exam 2 |
March 25, 2009 |
4:15 – 5:40pm |
5:45pm to 7:10pm |
The time of the midterm exams is 4:15-5:40 pm for daytime students and 5:45-7:10 pm for evening students. The final exam will test your knowledge of all the course material taught in the entire course. The final exam will be scheduled during the exam period. Make sure you read and fully understand the department's Examination Policy. This policy will be strictly enforced. Please note that calculators, cellular phones, beepers, and all other electronic devices may not be used during any exam.
» Makeup Exam Policy: There will be NO makeup exams during the semester. In the event the Final Exam is not taken, under rare circumstances where the student has a legitimate reason for missing the final exam, a makeup exam will be administered by the math department. In any case the student must notify the Math Department Office and the Instructor that the exam will be missed and present written verifiable proof of the reason for missing the exam, e.g., a doctors note, police report, court notice, etc., clearly stating the date AND time of the mitigating problem.
» Further Assistance: For further questions, students should contact their instructor. All instructors have regular office hours during the week. These office hours are listed at the link above by clicking on the Instructor’s name. Teaching Assistants are also available in the math learning center.
» Cellular Phones: All cellular phones and beepers must be switched off during all class times.
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MATH DEPARTMENT CLASS POLICIES LINK
All DMS students must familiarize themselves with and adhere to the Department of Mathematical Sciences Course Policies, in addition to official university-wide policies. DMS takes these policies very seriously and enforces them strictly. For DMS Course Policies, please click here.
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January 19, 2009 |
M |
Dr. Martin Luther King Jr. Holiday ~ University Closed |
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March 16-22, 2009 |
M-F |
Spring Recess ~ No Classes Scheduled |
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March 30, 2009 |
M |
Last Day to Withdraw from Classes |
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April 10, 2009 |
F |
Good Friday ~ University Closed |
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May 5, 2008 |
T |
Classes Follow a Friday Schedule, Last Day of Classes |
Course Outline and Homework Assignments:
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Week |
Chapter Topic |
Section |
Problem Number |
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1 |
Systems of Linear Equations Row Reduction and Echelon Forms |
1.1: 1.2: |
2, 4, 10, 15, 18, 24, 29 2, 4, 8, 11, 13, 18, 20 |
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2 |
Vector Equations Matrix Equations Solutions of Linear Systems |
1.3: 1.4: 1.5: |
2, 5, 9, 11, 13, 16, 24 2, 4, 5, 9, 17 1, 4, 6, 8, 11, 17, 23 |
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» MATLAB PROJECT 1: P. 49: #1, 2 |
Ü |
Due February 6, 2009 |
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3 |
Application to Economics Linear Independence Introduction to Linear Transformations |
1.6: 1.7: 1.8: |
1, 3 1, 4, 6, 7, 14, 16, 31 2, 4, 7, 9, 13, 16 |
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4 |
Matrix of a Linear Transformation Matrix Operations |
1.9: 2.1: |
4, 8, 15, 18, 22 4, 7, 9, 16, 23 |
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5 |
Inverse of a Matrix Invertible Matrices |
2.2: 2.3: |
3, 6, 9, 26, 29, 32 2, 6, 9, 11, 13, 14, 41 |
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» Review for EXAM 1: |
Ü |
Study for Exam 1 |
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Common Exam I: Wednesday ~ February 18, 2009 |
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6 |
LU Factorization Another Application |
2.5: 2.6 or 2.7: |
2, 4, 5, 8, 11, 15, 17 1, 3, 5 |
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7 |
Introduction to Determinants Properties of Determinants Cramers’s Rule |
3.1: 3.2: 3.3: |
3, 8, 9, 12, 22, 24, 25, 28 1, 4, 6, 9, 21, 22, 25, 26 2, 5, 8, 11, 16 |
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8 |
Vector Spaces and Subspaces Null and Column Spaces, Linear Maps |
4.1: 4.2: |
8, 24, 30, 38, 46 2, 4, 14, 20, 24 |
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9 |
SPRING RECESS: MaRCH 16–20, 2009 ~ NO CLASSES SCHEDULED |
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10 |
Linearly Independent Sets and Bases Dimension of a Vector Space |
4.3: 4.5: |
4, 5, 10, 14, 15, 21 2, 4, 5, 9, 13, 15, 18 |
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» Review for EXAM 2: |
Ü |
Study for Exam 1 |
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Common Exam II: Wednesday ~ March 25, 2009 |
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11 |
» March 30, 2009: (M) LAST DAY TO WITHDRAW FROM THIS COURSE |
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Rank Eigenvalues and Eigenvectors The Characteristic Equation |
4.6: 5.1: 5.2: |
1, 2, 5, 9, 13, 17, 18 3, 7, 9, 13, 15, 17, 20 4, 7, 9, 13, 15, 16, 20, 21 |
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» MATLAB PROJECT 2: P. 370: problem 1 |
Ü |
Due April 14, 2009 |
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12 |
Diagonalization Complex Eigenvalues |
5.3: 5.5: |
2, 4, 6, 7, 8, 12, 17, 21 4, 5, 13, 14 |
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» APRIL 10, 2009: (F) GOOD FRIDAY ~ No Classes Scheduled |
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13 |
Inner Product, Length, and Orthogonality Orthogonal Sets |
6.1: 6.2: |
1, 8, 10, 12, 14, 15, 16, 20 1, 4, 8, 12, 16, 17, 20, 23 |
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14 |
Gram-Schmidt Process Inner Product Spaces |
6.4: 6.7: |
1, 4, 8, 9, 12 1, 2, 4, 6, 8 |
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15 |
Diagonalization of Symmetric Matrices Quadratic Forms |
7.1: 7.2: |
1-6, 7-10, 14, 17, 22, 26 2, 5, 7, 10, 13, 21 |
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16 |
» May 5, 2009: (T) Classes Follow a Friday Schedule |
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» Review for FINAL EXAM |
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Final |
FINAL EXAM WEEK: May 7 – 13, 2009 |
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Prepared By: Prof. Roy Goodman
Last revised: January 6, 2009