Dr. Krishnan Paramasivam
Dr. Krishnan Paramasivam

Associate Professor

Office Address:

Associate Professor Department of Mathematics National Institute of Technology Calicut N.I.T. Campus P.O. 673601 Kozhikode, Kerala

Email ID:

sivam@nitc.ac.in

Home Address:

Srikripa House, Kunnamangalam, Kozhikode, Kerala.

  • Ph.D. Indian Institute of Technology Madras.

  • M.Sc. M.Phil. Madurai Kamaraj University

  • Educational Qualifications

    • Ph.D. Indian Institute of Technology Madras.

    • M.Sc. M.Phil. Madurai Kamaraj University

    INFORMATION TO STUDENTS

    Winter Semester 2022 Course Details:


    Course Name: MA1002D Mathematics II (Batch B) CSE
    Class Email id: espilon.ganitham@gmail.com
    Class Whatsapp Group: MA1002D for BATCH B
    Class CRs: Shubham
    (shubham_b210580cs@nitc.ac.in),
    Mathew George (mathew_b210526cs@nitc.ac.in),
    Siri Pagadala (siri_b210033cs@nitc.ac.in)
    Google Classroom: Contact class CRs

    Note that all material, notes, handouts and e-books are available in G Class.


    Course code: MA6324
    Course Name: Abstract Algebra
    Class Email id: epsilon.ganitham@gmail.com
    Class Whatsapp Group:
    Class CRs: AMLANA DAS, MEHNAZ
    To join Google Classroom: Contact Class CR Amlana Das (amlana786das@gmail.com)
    Note that all materials, notes, handouts and e-books are available in G Class.

    Monsoon Semester 2021-22 Course Detail

    Course Name: MA1001D Mathematics I (Batch C)
    Class Email id: espilon.ganitham@gmail.com
    Class Whatsapp Group: MATH-BATCH-C-EEE
    Class CRs: T REVANT REDDY, ABHIRAMI K MURALI
    Google Classroom: Contact Class CR Revant Reddy
    (tellapuramrevanthreddy@gmail.com)
    Note that all material, notes, handouts and ebooks are available in G Class.

    MA1001D Test I: 22-1-2022 9.30AM
    MA1001D Test II: 24-2-2022 9.30AM
    MA1001D End-semester exam: 4-4-2022 - 9.30am

    --
    Course code: MA6302 Course Name: Linear Algebra
    Class Email id: epsilon.ganitham@gmail.com
    Class Whatsapp Group: MA6302 Linear Algebra
    Class CRs: AMLANA DAS, MEHNAZ
    To join Google Classroom: Contact Class CR Amlana Das (amlana786das@gmail.com)
    Note that all material, notes, handouts and ebooks are available in G Class.
    ----------------------------------------------------------------------------------------------------------
    Winter Semester 2021 Courses:

    Course code: MA6224D
    Course Name: Graph Theory and Combinatorics
    Class: S2 MCA
    Class CRs: Nammit Sharma and Kashish Gupta
    Class Email id: epsilon.ganitham@gmail.com
    Class Whatsapp Group: MA6224DGTC-MCA2021
    ----------------------------------------------------------------------------------------------------------
    Winter Semester 2019-2020

    Course code: MA3023
    Course Name: Graph Theory and Applications (B.Tech. Global Elective)
    Class CRs: T BARGAV SAI (EC), DONA JACOB (EC), SHARAD (EE) MD SHARAAZ HUSSAIN (CS) SHYAM (ME)
    Class email: epsilon.ganitham@gmail.com
    Class whatsapp Group: MA3023GTA2021
    Google Class code: 7eoncse

    MA3023 Classes will start on Wednesday, 13 January 2021. (F Slots)
    ----------------------------------------------------------------------------------------------------------
    Course code: MA6324
    Course Name: Abstract Algebra
    Class CR: Wajpe Anthara A and Indrakumar
    Class email: epsilon.ganitham@gmail.com
    Google Class code: ----
    Class whatsapp group: MA6325AA2021
    ----------------------------------------------------------------------------------------------------------
    Monsoon 2020-21

    MA1001D Mathematics I : SAY (SAVE A YEAR) Examinations 2020
    Examination Date: Sept. 7, 2020
    Time: 2.00PM -5.45PM
    Venue: SAY Google Classroom/Class Whatsapp group: MA1001D-SAY-2020
    Class Email id: epsilon.ganitham@gmail.com
    Class Representative: UTTKARSH RAJ (B190955CS) contact detail: +91-84928 90787
    Course Coordinator: Dr. Krishnan Paramasivam, Intercom: 5211

    Kindly note that join SAY Google Classroom ONLY with Gmail address (not with NITC email) and course code is given in Whatsapp group or class CR/ME and get it.


    All students who register for the course MA1001D SAY are kindly requested to join the whatsapp group. If you do not have whatsapp, kindly call Class Representative UTTKARSH or me to give your current working contact number and correct working email address.

    ----------------------------------------------------------------------------------------------------------
    Winter Semester 2019-2020 Courses:

    1. MA2003D Mathematics IV (second year CSE batch A), Classroom: EHLC 203 Slot: B B+
    Class Representatives: Anna Susan & Mathew Jose
    Whatsapp group: MA2003D WINTER 2019-20 and get latest information, course handouts & post your doubts and suggestion.

    2. MA6324 Abstra Algebra for Second Semester M.Sc. students
    Class Representative: Rajesh
    Class room: MAT 203 Slot: G,G+
    Group Email: sivam@nitc.ac.in

    Whatsapp group: MA6324 AA 2020 and get latest information, exams details, course handouts, post your suggestions and criticism.Winter Semester 2022 Course Details:


    Course Name: MA1002D Mathematics II (Batch B) CSE
    Class Email id: espilon.ganitham@gmail.com
    Class Whatsapp Group: MA1002D for BATCH B
    Class CRs: Shubham
    (shubham_b210580cs@nitc.ac.in),
    Mathew George (mathew_b210526cs@nitc.ac.in),
    Siri Pagadala (siri_b210033cs@nitc.ac.in)
    Google Classroom: Contact class CRs

    Note that all material, notes, handouts and e-books are available in G Class.


    Course code: MA6324
    Course Name: Abstract Algebra
    Class Email id: epsilon.ganitham@gmail.com
    Class Whatsapp Group:
    Class CRs: AMLANA DAS, MEHNAZ
    To join Google Classroom: Contact Class CR Amlana Das (amlana786das@gmail.com)
    Note that all materials, notes, handouts and e-books are available in G Class.

    Monsoon Semester 2021-22 Course Detail

    Course Name: MA1001D Mathematics I (Batch C)
    Class Email id: espilon.ganitham@gmail.com
    Class Whatsapp Group: MATH-BATCH-C-EEE
    Class CRs: T REVANT REDDY, ABHIRAMI K MURALI
    Google Classroom: Contact Class CR Revant Reddy
    (tellapuramrevanthreddy@gmail.com)
    Note that all material, notes, handouts and ebooks are available in G Class.

    MA1001D Test I: 22-1-2022 9.30AM
    MA1001D Test II: 24-2-2022 9.30AM
    MA1001D End-semester exam: 4-4-2022 - 9.30am

    --
    Course code: MA6302 Course Name: Linear Algebra
    Class Email id: epsilon.ganitham@gmail.com
    Class Whatsapp Group: MA6302 Linear Algebra
    Class CRs: AMLANA DAS, MEHNAZ
    To join Google Classroom: Contact Class CR Amlana Das (amlana786das@gmail.com)
    Note that all material, notes, handouts and ebooks are available in G Class.
    ----------------------------------------------------------------------------------------------------------
    Winter Semester 2021 Courses:

    Course code: MA6224D
    Course Name: Graph Theory and Combinatorics
    Class: S2 MCA
    Class CRs: Nammit Sharma and Kashish Gupta
    Class Email id: epsilon.ganitham@gmail.com
    Class Whatsapp Group: MA6224DGTC-MCA2021
    ----------------------------------------------------------------------------------------------------------
    Winter Semester 2019-2020

    Course code: MA3023
    Course Name: Graph Theory and Applications (B.Tech. Global Elective)
    Class CRs: T BARGAV SAI (EC), DONA JACOB (EC), SHARAD (EE) MD SHARAAZ HUSSAIN (CS) SHYAM (ME)
    Class email: epsilon.ganitham@gmail.com
    Class whatsapp Group: MA3023GTA2021
    Google Class code: 7eoncse

    MA3023 Classes will start on Wednesday, 13 January 2021. (F Slots)
    ----------------------------------------------------------------------------------------------------------
    Course code: MA6324
    Course Name: Abstract Algebra
    Class CR: Wajpe Anthara A and Indrakumar
    Class email: epsilon.ganitham@gmail.com
    Google Class code: ----
    Class whatsapp group: MA6325AA2021
    ----------------------------------------------------------------------------------------------------------
    Monsoon 2020-21

    MA1001D Mathematics I : SAY (SAVE A YEAR) Examinations 2020
    Examination Date: Sept. 7, 2020
    Time: 2.00PM -5.45PM
    Venue: SAY Google Classroom/Class Whatsapp group: MA1001D-SAY-2020
    Class Email id: epsilon.ganitham@gmail.com
    Class Representative: UTTKARSH RAJ (B190955CS) contact detail: +91-84928 90787
    Course Coordinator: Dr. Krishnan Paramasivam, Intercom: 5211

    Kindly note that join SAY Google Classroom ONLY with Gmail address (not with NITC email) and course code is given in Whatsapp group or class CR/ME and get it.


    All students who register for the course MA1001D SAY are kindly requested to join the whatsapp group. If you do not have whatsapp, kindly call Class Representative UTTKARSH or me to give your current working contact number and correct working email address.

    ----------------------------------------------------------------------------------------------------------
    Winter Semester 2019-2020 Courses:

    1. MA2003D Mathematics IV (second year CSE batch A), Classroom: EHLC 203 Slot: B B+
    Class Representatives: Anna Susan & Mathew Jose
    Whatsapp group: MA2003D WINTER 2019-20 and get latest information, course handouts & post your doubts and suggestion.

    2. MA6324 Abstra Algebra for Second Semester M.Sc. students
    Class Representative: Rajesh
    Class room: MAT 203 Slot: G,G+
    Group Email: sivam@nitc.ac.in

    Whatsapp group: MA6324 AA 2020 and get latest information, exams details, course handouts, post your suggestions and criticism.

    MA1002D Mathematics II  Batch C EED

    Class Teacher: Krishnan Paramasivam Class Email: epsilon.ganitham@gmail.com

    Slot: C2 Classroom: C Class Representative: Mr. Advaith P and Ms. Amisha K

    Class Whatsapp group: MA1002D_2023_Batch_C

    Google Classroom: (get the class code from CRs) All study material, handouts, class PPT files will be shared in the class.

    Midtern Exam: 1-5-2023 10AM (90minutes duration) Syllabus: Module I and Module II (till 1st order ODE) 

    Quiz I  (will be in 2nd or 3rd week of May, 2023) (30minutes duration)

    Assignement : (will be given soon)

    Endsemester Exam: will be in June or July 2023 (180 minutes duration)

     

    Guidance (Ph.D./ M.Sc. Project)

    Dr. Krishnan Parmasivam

    MathSciNet     ORCID   SCOPUS   DBLP

    Ph.D. Guidance: Interested and motivated students with storng mathematics fundamentals and willingness to work in any non-trivial probems,  can apply for Ph.D. position under my guidance.
     
    Areas of Interest:  Combinatorics/Graph theory/Commutative algebra
     
    Kindly email with your detailed curriculum vitae. 
     
    My email address:  sivam@nitc.ac.in or sivam@alumni.iitm.ac.in,  Tel: 0495-2285211

    -----------------------------------------------------------------------------------------------------------------

    Graduated and current Research Scholars 

     

    1.  Dr. Prajeesh A V, Registration No. P150078MA    

    Currently working as Assistant Professor, Amrita Vishwa Vidyapeetham, Kerala. 

    MathSciNet     Scopus     ORCID   DBLP

    email: prajeesh.math@gmail.com

    Area of Research: Graph Theory and Combinatorics

    Title of the Thesis: Partial solutions to certain graph labeling open problems

    (2010 AMS Mathematics Subject Classification: Primary 05C78, 05C76, 05C25, 05C90)

     

    2. Muhammed Sabeel K  Registration No. P160078MA

    Currently working as Assistant Professor, TKM College of Engineering Kollam, Kerala.

    MathSciNet     Scopus     ORCID     DBLP

    email: sabeel.math@gmail.com

    Area of research work: Graph Theory and Commutative Algebra. 

    Title of the Thesis: On metric dimension and determining number of zero-divisor graphs

    (2010 AMS Mathematics Subject Classification: Primary 13A15, 05E40, 05C99, 05C25, 05C75)

     

    3. Karthik S  Registration No. P210136MA 

    email: karthik_p210136ma@nitc.ac.in

    Area of research work: Graph Theory

    (2010 AMS Mathematics Subject Classification: Primary 05C78, 05C76, 05C25, 05C90)

     

    4. Divakar Mani K Registration No. P220216MA

    email: divakar_p220216ma@nitc.ac.in

    Area of research work : Graphs and Groups

    (2010 AMS Mathematics Subject Classification: Primary  05C99, 05C25, 05C75)

    -----------------------------------------------------------------------------------------------------------------

     

    M.Sc. (Mathematics), M.Sc. (Applied Mathematics)/ BS-MS (Mathematics)  Project/Dissertation Students 

    1. Amlana Das (M210287MA), NIT Calicut
    2. Eshwar Srinivasan(M200431MA), NIT Calicut - Currently PhD student in IIT Guwahati
    3. Rajesh (M190658MA), NIT Claicut - Currently working in Software Company
    4. Aruna Venkatesh ((M190670MA) - Currently PhD Scholar NIT Calicut
    5. Srieehari T(M180476MA), NIT Calicut
    6. Umesh Katkal (M180455MA), NIT Calicut
    7. Divakar Mani (18PA03), PSG College of Technology Coimbatore
    8. NIvashini Sethuraman (18PA10), PSG College of Technology Coimbatore
    9. Raniya Sajahan (P2MAT18006), Amrita Vishwa Vidhyapeetham, Amritaputi Campus, Kollam. 
    10. Collins Abraham Thomas (1847504), Christ University, Bangalore, 2018

    Past students: 

    1. Sowmya Madhava (12MAT599) Amrita Vishwa Vidhyapeetham  Title: Incomplete Tournament via handicap labeling (2019)
    2. Karthik S (M170384MA), NIT Calicut Title: Super edge-magic deficiency of disconnected graphs (2018)
    3. Brijesh Babu (M140085MA), NIT Calicut Title:  Study on decomposition of circulant graphs and 1 factor graphs (2015)
    4. Yasser KT (M130054MA)), NIT Calicut Title: Properties of Divisor Graphs.(2014)
    5. Ranjima Ram Mohan (M090058MA) - M.Sc.(Tech.) - 2011
    6. Jithin Jayakhosh (M110032MA) - M.Sc.(Tech.) - 2012
    7. Ahalya K K (M110038MA) - M.Sc.(Tech.) - 2012

    Summer Internship Students: 

    1. Labeeb Ajmal T  (2147508), Christ University Bengaluru (2022)
    2. Navia Veran Kadavath (MS15098), IISER Trivandrum (2017)
    3. Nayana Shibu Deepthi (MS13127) , IISER Mohali (2015) 
    4. Ashwin K (MS2012), IISER Bhopal (2014)
    5. Amal Mathew (MS12084) BS-MS student,  IISER Mohal 
    6. Ebin George (MS12101), IISER Mohali 
    7. Sandra U S (MS12107) IISER Mohali

    -----------------------------------------------------------------------------------------------------------------

    My Ph.D. /M.Sc. Project students’ Presentation and Participation in Conferences/Workshops:

    1. Title of paper: On Distance antimagic circulant graphs (presented by AV Prajeesh)   

    Two day National Seminar on Some Recent Research Directions in Graph Theory

    Ayya Nadar Janaki Ammal College, Sivakasi, Tamil Nadu,

    March 9-10, 2017. (UGC Sponsored)

    1. Title of the paper: Distance magic index one graphs (presented by AV Prajeesh)

    International Conference on Discrete Mathematics and its Applications to Network Science

    BITS Pilani, Goa, India.

    July 7-10 2018.

    1. Title of the paper: Star Super Edge-magic Deficiency of Disjoint Union of Graphs (presented by Karthik S)

    International Conference on Theoretical Computer Science and Discrete Mathematics

    SSN College of Engineering, Kalavakkam, Chennai, Tamil Nadu.

    December 03 - 05, 2018

    1. Title of the paper: Maximal Super Edge-Magic Graph and its Strength (presented by Sreehari T)

                                     International Conference on Computational Sciences: Modelling, Computing and Soft Computing  

                                     National Institute of Technology Calicut, Kerala, India.

                                     March 26-29, 2020

    1. Six days workshop in Algebraic Graph Theory (participated by A V Prajeesh)

    National Institute of Technology Surathkal, Karnataka.

    January 25-30 2018.

    1. Six days workshop in Algebraic Graph Theory (participated by Md. Sabeel K)

    National Institute of Technology Surathkal, Karnataka.

    January 25-30 2018.

    1. International Conference on Algebra and Discrete Mathematics, (participated by Md. Sabeel K)

    Department of Mathematics, Madurai Kamaraj University, Tamil Nadu

    January 8-10, 2018.

    1. International Conference on Theoretical Computer Science and Discrete Mathematics (participated by A V Prajeesh and Md. Sabeel K)

                                    SSN College of Engineering, Kalavakkam, Chennai, Tamil Nadu.

                                    December 03 - 05, 2018

    -----------------------------------------------------------------------------------------------------------------

    Invited or Contributed Talk

    List of Invited/Contributed Talks in Conferences/Workshops


    1. Title:  On coloring Boolean algebra and Boolean semigroup (Contributed talk)

    Conference: 25th Colloquium on Combinatorics, November 16-18, 2006.

    Venue: Otto van Guericke University, Magdeburg, Germany.

    2.  Title: Chromatic number of certain commutative finite rings,

    Conference: Fifth Cracow Conference on Graph Theory "USTRON '06"  September 10-15, 2006 Ustron, Poland.

    3. Title: On coloring of commutative semiring Contributed talk)                   

    Conference: 11th Workshop on Graph Theory (Coloring Independence and Dominations),  September 18-23, 2005 

    Venue: University of Zielona Góra, Karpacz, Poland

    4. Title: Coloring of certain commutative semigroups (Invited Talk)                

    Conference: UGC Sponsored Two Day National Level Seminar on Recent Trends in Distance in Graphs (sponsored by U.G.C.) (March 12-13, 2012)                 

    Venue: Ayya Nadar Janaki Ammal College, Sivakasi, Tamil Nadu.

    5. Title: Super Edgemagic strength of graphs with more cycles (Invited talk)

    Conference: National Seminar on Discrete Mathematics, (March 20-21, 2014)

    Venue: Department of Mathematics, Univesity of Calicut, Malapuram, Kerala. 

    6. Title: Graph theory and its applications to communication networks (Invited talk)           

    FDP: 14 days AICTE  sponsored FDTP on  soft Computing techniques for engineering research, (June 8-21,  2015)

    Venue: Department of Electronics and Communication Engineering, Sri Ramakrishna Engineering College, Coimbatore, Tamil Nadu.

    7. Title:  Coloring of certain commutative group ring and loop ring (Invited Talk)               

    Conference: NBHM Sponsored Two day National Seminar on some Recent Research Directions in Graph Theory (March 9-10, 2017)                             

    Venue: Ayya Nadar Janaki Ammal College, Sivakasi, Tamil Nadu.

    Administrative Responsibilities

    1. M.Sc. Programme Coordinator (M.Sc. Mathematics  2016 admission) 2016-2018

     

    2. Faculty Advisor, M.Sc. Mathematics (2016 admission) students. 

     

    3. Faculty-in-charge, Department Website, . 2017, 2018, 2019, 2020.

     

    4. Faculty-in-charge, MAT Time Table, Department of Mathematics (2019, 2020, 2021)

     

    5. Faculty-in-charge, MAT Research Scholar Lab, Soft Computing Lab, Department of Mathematics (2019, 2020, 2021)

     

    6.  Faculty in charge, Workshops/FDP, Training programme, Department of Mathematics, 2019-2020

     

    7. Faculty-in-charge, Club Mathematica, 2011-2012

    Recent Publications

    Recent Publications in Journals/arXiv/conference proceedings.
    
    (Please email me or any one of the co-authors, if you need the softcopy the following articles)
    
     1.  A characterization of group vertex magic trees of diameter up to 5  
    
    M Sabeel K,  K. Paramasivam, A V Prajeesh, N. Kamatchi, S Arumugam
    
    Australasian Journal of Combinatorics, Vol. 85 No. 1, 2023. MR4515472
    
    2. Quasi-magic rectangles  
    
    D Froncek, K Paramasivam, A V Prajeesh
    
    Journal of Combinatorial Designs, Vol. 30 No. 3, 193-202, 2022. (Wiley) MR4373506 
    
    3.  Zero-divisor graph of semi simple group-rings 
    
     K. Paramasivam, M. Sabeel K
    
    Jounal of Algebra and its Applications, Vol. 21, No. 2 (2022) 2250028 1-14 (available online 2021).  MR4381286 
    
    4.  Note on group distance magicness of product graphs 
    
    A V Prajeesh, Krishnan Paramasivam
    
    Contributions to Discrete Mathematics, Vol. 16, 72-88, 2021. [MR4233788 ]
    
    5.  On distance nagic Harary graphs 
    
    AV Prajeesh, K. Paramasivam, KM Kathiresan
    
    Utilitas Mathematica, Vol. 115, 251-266, 2020 [MR4240959]
    
    6.   On group vertex magic graphs 
    
    N. Kamatchi, A V Prajeesh, K. Paramasivam, M. Sabeel K, S  Arumugam)
    
    AKCE International Journal of Graphs and Combinatorics, Vol. 17, 461-465 , 2020. [MR4145437]
    
    7.   Handicap incomplete tournaments 
    
    Appattu Valappil Prajeesh, Krishnan Paramasivam, N Kamatchi
    
    Combinatorial Algorithms, 30th IWOCA, University of Pisa, Italy, 
    
    Lecture Notes in Computer Science 11638, 1-9,    2019. PDF [MR3991220]
    
    8. A Characterization for $V_4$-vertex magicness of trees with diameter 5  
    
    M. Sabeel K, A V Prajeesh, K. Paramasivam
    
    Communications in Computer and Information Science (Springer) 1345, 243-249, 2021.  
    
    9. Maximal super edge-magic graph and its strength 
    
    T. Sreehari, Janitha Kolayil, A V Prajeesh, K Paramasivam
    
    AIP Conference Proceedings 2332, pp: 050006 (1-7) (2021);  DOI
    
    10. (a, d)-distance antimagicness of disconnected 2-regular graphs 
    
     A V Prajeesh, M. Sabeel K, K. Paramasivam
    
    AIP Conference Proceedings 2336, 050007 (2021)  DOI
    
    11  A note on distance magic index of partite graphs 
    
    E Srinivasan, AV Prajeesh, K. Paramasivam
    
    arXiv preprint arXiv:2209.00997  ads Harvard abstract service
    
    12.   On distance magic Harary graphs 
    
    A V Prajeesh, K. Paramasivam
    
    arXiv Preprint arXiv:1809.07382 [math.CO] 2018. PDF
    
    13.   Notes on group distance magicness of product graphs 
    
    A V Prajeesh, K. Paramasivam
    
    arXiv Preprint arXiv:1808.01631 [math.CO] 2018. PDF
    
    14.  Distance magic index one graphs 
    
    A V Prajeesh, K. Paramasivam
    
    arXiv Preprint arXiv:1808.00951 [math.CO], 2018. PDF

    Recognition & Awards

    Received the South India's most inspiring Young Teachers Award (40 under 40) by the EDEX, The New Indian Express, South India, May 2017.

    Gold Medalist for securing over-all the first place in B.Sc. Mathematics.

    The University Grants Commission (UGC) of India awarded Junior Rssearch Fellowship 2003.

    Qualified the Graduate Aptitude Test for Engineering (GATE) examination in 2002 with AIR: 64.. 

    Qualified the Council of Scientific and Industrial Research-University Grants Commission Natinal Eligibility Test for Lectureship in 2002. 

    Short CV

    Online Resource & Study Materials

    I have given some useful Open Educational Resources (OER) which are freely accessible. I hope the  documents and media that are useful for teaching, learning, educational/acadmic assessment and research purposes.  

    NPTEL - Technical Video Lectures of Science and Engineering from all IITs and IISc Bangalore.

    MIT  - Technical Video Lectures of Science and Engineering from MIT, 

    MIT TechTv -  The video-sharing site for the MIT community. 

    MIT Opencourseware - Course materials for Science and Engineering, from MIT

    UCBerkeley - Collection of Technical Streaming Lectures from Science and Engineering from University of California, Berkeley. (Youtube video lectures)

    Webcast Berkeley - Collection of Technical Lectures, course mateials from Science and Engineering from University of California, Berkeley.

    OLI - Open Learning Initiative, Open and free course materials from Carnegie Melon University.

    oii Oxford Internet Institute Webcast courses from Oxford University.

    Yale University Open Courseware - Complete set of course materials, syllabus from Science and Engineering.

    Harvard Open Courses - Open Learning Initiative : collections of course materials, video and audio lectures from Science and Engineering, Harvard University

    University of Cambridge -  resource library links to other library,

    Virtual Professors.com - resource materials for Engineering and Science from University of Princeton.

    University of Princeton - Event Streaming webmedia - online courses from University of Princeton.

    edX - Interactive online classes in subjects including science, engineering, business, social sciences, computer science - founding partners Harvard & MIT