MATH 630 Course Syllabus
NJIT Academic Integrity CODE: All Students should be aware that the Department of Mathematical Sciences takes the University Code on Academic Integrity at NJIT very seriously and enforces it strictly. This means that 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 University Code on Academic Integrity, students are obligated to report any such activities to the Instructor.
Math 630-102: Linear Algebra and Applications
SPRING 2013
Textbook: Linear Algebra and Its Applications by G. Strang, Thomson Brooks/Cole; ISBN: 0030105676..
Prerequisites: Math 222, Math 337, Math 340, and proficiency in a computer language (FORTRAN, MATLAB, C, or C++), or departmental approval.
Grading Policy: The final grade in this course will be determined as follows:
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▪ Homework & Quizzes: |
25% |
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▪ Projects: |
15% |
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▪ Midterm Exam: |
25% |
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▪ Final Exam: |
35% |
Drop Date: Please note that the University Withdrawal Deadline March 26, 2013 deadline will be strictly enforced.
Homework Policy: Short homework will be assigned each week. Homework and other take-home assignments should represent your individual effort; no collective group work is allowed. Under the Honor Code, students are obligated to report any instances of plagiarism (for instance, copying of homework), to the Instructor.
Examinations: There will be a midterm examination and a final examination. The midterm examination will occur before the "withdrawal'' deadline. The final examination date, time, and location will be determined by the university.
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Midterm Exam I: |
March 14, 2013 |
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Final Exam Week: |
May 9-15, 2013 |
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.
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.
| M |
Dr. Martin Luther King, Jr. Day ~ University Closed |
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| Su-Su |
Spring Recess ~ No Classes Scheduled ~ University Open |
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| T |
Last Day to Withdraw from this course |
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| F |
Good Friday ~ University Closed |
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| T |
Classes follow a Friday Schedule, Last Day of Classes |
Course Outline:
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Dates |
Lecture |
Sections |
Chapter |
Topic & Assignments |
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1/24/13 1/31/13 |
1 2 |
SECTIONS |
Chapter 1 |
Matrices and Gaussian Elimination |
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1.1: |
Page: 1-3 |
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1.2: |
Page: 3-11 |
Problems: 1, 3, 5, 8, 9 |
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1.3: |
Page: 11-19 |
Problems: 13, 25, 30 |
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1.4: |
Page: 19-32 |
Problems: 1, 3, 5, 7, 12-15, 18, 21 |
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1.5: |
Page: 32-45 |
Problems: 4-6, 15, 18, 19 |
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1.6: |
Page: 45-58 |
Problems: 1, 3, 6, 8, 13, 15, 19 |
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1.7: |
Page: 58-64 |
Problems: 3-5, 10 |
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R1: |
Page: 65-67 |
Problems: 1, 4, 10, 13, 17, 19, 28 |
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2/7/13 2/14/13 |
3 4 |
SECTIONS |
Chapter 2 |
Vector Spaces |
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2.1: |
Page: 69-77 |
Problems: 1-3, 5-9 |
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2.2: |
Page: 77-91 |
Problems: 1-7 |
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2.3: |
Page: 92-102 |
Problems: 1-3, 11, 27, 30, 33, 37 |
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2.4: |
Page: 102-114 |
Problems: 2-4, 10, 13, 15, 18 |
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2.5: |
Page: 114-124 |
Problems: 1-5 |
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2.6: |
Page: 125-137 |
Problems: 1-3, 7-9 |
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R2: |
Page: 137-140 |
Problems: 1, 4-7, 9, 11, 14, 21, 28, 29, 32, 33 |
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2/21/13 2/28/13 |
5 6 |
SECTIONS |
Chapter 3 |
Orthogonality |
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3.1: |
Page: 141-152 |
Problems: 1-6, 8-10, 12, 14 |
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3.2: |
Page: 152-160 |
Problems: 3-5, 7, 8, 11 |
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3.3: |
Page: 160-174 |
Problems: 1, 3, 7, 12, 13, 17 |
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3.4: |
Page: 174-188 |
Problems: 1-6, 8, 13, 16, 17 |
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R3: |
Page: 198-200 |
Problems: 1, 3, 4, 14, 20, 28, 33 |
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3/7/13 |
7 |
└► |
REVIEW FOR Midterm EXAM |
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3/14/13 |
8
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└► |
MIDTERM Examination |
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3/14/13 |
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SECTIONS |
Chapter 4 |
Determinants |
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4.1: |
Page: 201-203 |
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4.2: |
Page: 203-210 |
Problems: 1, 4, 7, 10, 12, 13, 16-18 |
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4.3: |
Page: 210-220 |
Problems: 1, 2, 17, 20 |
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4.4: |
Page: 220-229 |
Problems: 2, 3, 5, 6, 9, 10 |
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R4: |
Page: 230-231 |
Problems: 1, 2, 6, 11, 15 |
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└► |
SPRING RECESS: MARCH 17-24, 2013 |
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└► |
Last Day to Withdraw from this course |
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3/28/13 4/4/13 |
9 10 |
SECTIONS |
Chapter 5 |
Eigenvalues and Eigenvectors |
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5.1: |
Page: 233-244 |
Problems: 1, 2, 5, 7, 8, 10, 14 |
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5.2: |
Page: 245-254 |
Problems: 1-3, 5-8, 10, 13 |
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5.3: |
Page: 254-266 |
Problems: 3, 8, 9, 12 |
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5.4: |
Page: 266-280 |
Problems: 1-3, 8-10, 15, 20 |
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5.5: |
Page: 280-292 |
Problems: 1-2, 6-8, 11, 20-22 |
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5.6: |
Page: 293-306 |
Problems: 1, 2, 5, 8, 13, 16, 25 |
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R5: |
Page: 307-309 |
Problems: 1, 3, 8, 20 |
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4/11/13 4/18/13 |
11 12 |
SECTIONS |
Chapter 6 |
Positive Definite Matrices |
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6.1: |
Page: 311-317 |
Problems: 1, 2, 4, 5, 7, 9 |
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6.2: |
Page: 318-330 |
Problems: 2, 4-6, 8, 10-14 |
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6.3: |
Page: 331-338 |
Problems: 1, 3, 15, 17 |
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4/25/13 |
13 |
SECTIONS |
Chapter 7 |
Computations with Matrices |
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7.1: |
Page: 351-357 |
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7.2: |
Page: 357-359 |
Problems: 1, 4, 11 |
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7.3: |
Page: 359-367 |
Problems: 1, 7, 9, 11 |
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7.4: |
Page: 367-375 |
Problems: 1, 2, 7 |
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5/2/13 |
14 |
└► |
REVIEW FOR Final EXAM |
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Finals |
Final EXAM WEEK: May 9-15, 2013 |
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Prepared By: Prof. E. Ammicht
Last revised: December 26, 2013