Instructor:
Prof. BoseAll 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. Bose
Textbooks:
Mathematical Analysis - 2nd Edition, by Tom Apostol
Portions of Elements of Intergration, by Robert Bartle will also be used.
Grading Policy:
The final grade in this course will be determined as follows:
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15% |
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50% |
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35% |
Please note that the University Drop Date March 31, 2008 deadline will be strictly enforced.
Exams: Two
midterm exams will be given. The dates are February 20, 2008 and April
16, 2008.
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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 21, 2008 |
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Dr. Martin Luther King Jr. Holiday ~ University Closed |
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March 17-21, 2008 |
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SPRING RECESS ~ No Classes Scheduled |
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March 21, 2008 |
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Good Friday ~ University Closed |
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March 31, 2008 |
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Last Day to WITHDRAW from this Course |
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Uniform Convergence: Chapter 9 |
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I. |
Definition And Uniform Norm (9.1-9.3) |
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Continuity And Cauchy Condition (9.4, 9.5) |
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III. |
Infinite Series And Integrals (9.6, 9.8, 9.9) |
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IV. |
Differentiation And Dirichlet’s Test (9.10, 9.11) |
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V. |
Convergence In Mean And Power Series (9.13, 9.14) |
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The Lebesgue Integral: Chapters 1-7 of Bartle |
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VI. |
Measurable Functions (Chapters 1 And 2) |
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VII. |
Measures (Chapter 3) |
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VIII. |
The Lebesgue Integral (Chapter 4) |
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IX. |
Integrable Functions (Chapter 5) |
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X. |
Lp Spaces (Chapter 6) |
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XI. |
Modes Of Convergence (Chapter 7) |
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Fourier Series: Chapter 11 |
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XII. |
Basic Elements (11.1-11.4) |
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XIII. |
Fourier Coefficients & Riesz-Fischer (11.5, 11.6) |
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XIV. |
Riemann-Lebesgue and Dirichlet Integrals (11.7-11.9) |
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XV. |
Dirichlet Kernel and Riemann Localization (11.10, 11.11) |
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XVI. |
Convergence at a Point and Cesaro Sums (11.12, 11.13) |
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XVII. |
Consequences of Fejer’s Theorem (11.14, 11.15) |
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XVIII. |
Fourier Integral Theorem and Convolutions (11.18, 11.20) |
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XIX. |
Convolution Theorem and Poisson Summation (11.21, 11.22) |
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Prepared By: Prof. Amit Bose
Last revised: December 14, 2007
