72518-15111

Faculty Profile

Dr. Manish Goyal
Associate Professor & Associate Head
Institute of Applied Science & Humanities

Contact Details:

Email: manish.goyal@gla.ac.in

Contact Number: 09837421186

  Area of Research Interest: Computational Numerical Methods and Differential Equations

  Education Qualification:

  • CSIR  - NET ( Mathematical Sciences ) with an All India Rank ( A.I.R.) – 0009 inJune 2011
  • Ph.D. (Mathematics) fromDr. B. R. Ambedkar University, Agra in the year 2009
  • GATE (Mathematics) in the year 1999with All India Rank – 42 (Delhi Zone Rank – 6) securing 93.68 percentile.
  • M.Sc. (Mathematics) from Dr. B. R. Ambedkar University, Agra in the year 1999 with 79.5% marks. (Topped the college)
  • B.Sc. (P.C.M.) from Dr. B. R. Ambedkar University, Agra in the year 1997 with 88.57% marks. (Topped the college)
  • 12th from U.P. Board, Allahabad in the year 1994 with 82.6% marks. (State Rank 14 th)
  • 10th from U.P. Board, Allahabad in the year 1992 with 81% marks. (1st Rank in District)

Professional Experience: 

  • Associate Professor in the Department of Mathematics at the Institute of Applied Sciences and Humanities affiliated to G.L.A. University, Mathura from August 1, 2011
  • Reader in Mathematics in the Department of Applied Sciences and Humanities at G.L.A.I.T.M., Mathura (affiliated to U. P. Technical University, Lucknow) from February 1, 2009 to July 31, 2011.
  • Programme Coordinator (Dept. of Applied Sc. and Humanities) at G.L.A.I.T.M., Mathura from Sept. 2007 to July 31, 2011.
  • Lecturer (Mathematics) in the Dept. of Applied Sc. and Humanities at G.L.A.I.T.M., Mathura from Sept. 1999 to Jan. 2009.

 QIP/Short Term Course Attended:

  • Participated in a two week AICTE sponsored QIP/short term course “Numerical Methods in Science & Engineering” at IIT, Kanpur from July 3 to July 15, 2006.
  • Participated in a one week AICTE sponsored QIP/short term course “Vision, Graphics and Image Processing”at IIT, Roorkee from July 6 to July 10, 2007.
  • Participated in a one week TEQIP sponsored short term training programme “Scientific Computing and Modeling” at NIT, Warangal from May 5 to May10, 2008.
  • Participated in half a week TEQIP sponsored short term training programme “Advances and Applications in Optimization Techniques” at NIT, Warangal from June 6 to June 8, 2008.
  • Participated in a one week AICTE sponsored QIP/short term course “Computational Fluid Dynamics” at IIT, Roorkee from July 6 to July 10, 2009.
  • Participated in a one week AICTE sponsored QIP/short term course  “Computational Fluid Dynamics (CFD) for Engineers” at SVNIT, Surat from Feb.1 to Feb. 5, 2010.
  • Participated in a one week short term training programme on “Recent Advances in Mathematics and its Applications to Science and Engineering”(RAMASE 2013)  at VNIT, Nagpur from May 6 to May 10, 2013.
  • Participated in a one week short term training programme (co sponsored by TEQIP II) on “Ordinary and Partial Differential Equation: Analysis and Applications” at MANIT, Bhopal from May 27 to May 31, 2014.
  • Participated in a short term training programme on “Advanced Computational Methods in Engineering and Science” at NITW, Telangana State from April 1 to 3, 2015.

Conference and Workshops Attended:

  • Participated in TIME – 2007, a National conference on “Technology and Innovation in Mathematics Education” at IIT, Mumbai from Dec. 1 to Dec. 4, 2007.
  • Attended a workshop on “Elliptic and Parabolic Partial Differential Equations and Related Topics : Theory and Numerical Methods” at IIT, Gandhinagar from Aug. 16 to Aug. 19, 2012.
  • Attended a national workshop on “Predictive Mathematical Models in Science and Engineering” (PMMSE 2013)  at NIT, Kurukshetra from May 24 to May 25, 2013.
  • Participated and presented a lecture on “Quality Teaching and Outcome” in an annual workshopat G.L.A.I.B.M., Mathura from Aug.17 to Aug. 18, 2007.
  • Presented a lecture on “Quality Teaching” in a Teaching Pedagogy at  G.L.A.I.T.M., Mathura on Sept. 29, 2008.
  • Participated  in a faculty development programme ‘G.L.A. Utkarsh’ at  Kosi Tourist Complex organized by G.L.A. group of institutions on Nov. 4, 2007.
  • Delivered a lecture on “Plane and Straight Line” in S.V.M. Chhata (Mathura) on  Jan. 16, 2015 as a part of “School Connect” programme.

 Research Paper Published:

  • Solution of three dimensional inhomogeneous differential equations using Adomian Decomposition Method”, Acta Ciencia Indica, Vol. XXXIII M, No.4, pp. 1569 – 1574 (2007).
  • Solution of various one dimensional wave equations using Adomian Decomposition Method”, Acta Ciencia Indica, Vol. XXXIVM No. 1, pp. 383 - 388 (2008).
  •  “Solution of wave equations of two and three dimensions by Adomian Decomposition Method”, Acta Ciencia Indica, Vol.  XXXIVM No. 1, pp. 415 - 420 (2008).
  • “Solution of fluid dynamics problems by Adomian Decomposition Method”, Acta Ciencia Indica, Vol. XXXIVM No. 3, pp. 1417 – 1424 (2008).
  •  A New Approach of Solving Tenth Order Boundary Value Problems”, Acta Ciencia Indica, Vol. XXXIVM No. 4, pp. 1941 – 1945 (2008).
  • Solution of Two dimensional Heat equation by Adomian decomposition method”, Acta Ciencia Indica, Vol. XXXVM No. 1,pp. 1-4 (2009).
  • Numerical  Solution of Tenth Order BVP using modified decomposition method”, Acta Ciencia Indica,Vol. XXXVM No.1,pp.33-37 (2009).
  • Solution of Linear and Non – Linear Higher Order BVPs using MDM”, Acta Ciencia Indica, Vol. XXXVIM No.4, pp.691 – 698 (2010).

 Reviewer:

  • Reviewer of two international Journals.

 Book Publications :   Author of 71 books on Mathematics

 Laxmi Publications (P) Ltd. , New Delhi

 1.  A Text Book of Engineering Mathematics [MA-101,TAS 104 & EAS 103] I – V editions (For B.Tech. I Semester, U.P.T.U., Lucknow)

2.  A Text Book of Engineering Mathematics [EAS 103 and TMA – 101] VI edition (For B.Tech. I Semester, U.P. T.U.& U.K.T.U.)

3.  A Text Book of Engineering Mathematics [AS 101] VII edition (For B.Tech. I Sem. of M.T.U., Noida)

4.  A Text Book of Engineering Mathematics [NAS – 103] VIII edition (For B.Tech. I Sem. of G.B.T.U., Lucknow)

5.  A Text Book of Engg.Maths [MA-202,TAS – 204,EAS 203 & NAS - 203]I - IX editions (For B.Tech. II Semester, U.P.T.U., Lucknow)

6.  A Text Book of Engineering Mathematics  [AS - 201] VII - X editions (For B.Tech. II Semester, M.T.U., Noida)

7.  A Text Book of Engineering Mathematics [MA-301,TAS 301,EAS 301/401]I – V editions (For B.Tech. III Semester, U.P.T.U., Lucknow)

8.  A Text Book of Engineering Mathematics [EAS 301/ 401 and TMA - 301] VI ed. (For B.Tech. III/IV Sem. of U.P. T.U. & U.K.T.U.)

9.   A Text Book of Engineering Mathematics [NAS - 301/ 401] VII edition   (For B.Tech. III/ IV Semesters, U.P.T.U., Lucknow)

10.  A Text Book of Engineering Mathematics [AS 301A& B / AS 401A & B] VII edition (For B.Tech. III/IV Sem. M.T.U., Noida)

11. Computer Based Numerical & Statistical Techniques [TAS – 302] III edition (For B.Tech. III Semester, U.P.T.U., Lucknow)

12. Computer Based Numerical & Statistical Techniques [CS – 406] I & II editions (For B.Tech. IV Semester, U.P.T.U., Lucknow)

13. Comprehensive Analysis [I – III editions] (For B.A./B.Sc. Part III, Paper I, M.D.U., Rohtak, K.U., Kurukshetra, Himachal Univ., H. P.)

14. Comprehensive Analysis ( IV Edition ) (For B.A./B.Sc. Part III, Paper I, M.D.U., Rohtak)

15. Comprehensive Analysis ( IV Edition ) (For B.A./B.Sc. Part III, Paper I, K.U., Kurukshetra)

16. Guide to Analysis  [ I - III ed.] (For B.A. /B.Sc. Part III, Paper I, M.D.U., Rohtak, K.U.,Kurukshetra, Himachal Univ., H. P.)

17. A Text Book of Engineering Mathematics  I – III editions      (For B.Tech. I Semester, R.G.P.V., Bhopal)

18. A Text Book of Engineering Mathematics  I - III editions      (For B.Tech. II Semester, R.G.P.V., Bhopal)

19. A Text Book of Engineering Mathematics  I - IV editions      (For B.Tech. III Semester, R.G.P.V., Bhopal)

20. A Text Book of Engineering Mathematics  I - IV editions     (For B.Tech. I Semester, Anna University, Chennai)

21. A Text Book of Engineering Mathematics  I – IV editions   (For B.Tech. II Semester, Anna University, Chennai)

22. A Text Book of Engineering Mathematics ( I and II Editions )    ( For B.Tech. I Year, Anna University, Chennai)

23. A Text Book of Engineering Mathematics     (For B.Tech. III Semester, Anna University, Chennai)        

24. Transforms and Partial Differential Equations     (For B.Tech. III Semester, Anna University, Chennai)

25. Statistics and Numerical Methods                    (For B.Tech. IV Semester, Anna University, Chennai)

26. A Text Book of Engineering Mathematics [ I - III editions ]  (For B.Tech. III Semester, Punjab Technical University, Jalandhar)

27. A Text Book of Engineering Mathematics [ IV edition ]     (For B.Tech. III/IV Semesters, Punjab Technical University, Jalandhar)

28. A Text Book of Engineering Mathematics [ V edition ]      (For B.Tech. III/IV/V Semesters, Punjab Technical University, Jalandhar)

29. Computer Based Numerical and Statistical Techniques in Engineering    (For B.Tech. IV/V Sem., P. T. U., Jalandhar)

30. A Text Book of Engineering Mathematics [ VII – IX  editions ]    (For B.E./ B.Tech./M.E.students of all Technical Universities)

31. Solution Manual for A T.B. of Engg. Mathematics [ I – edition ]  (For B.E./ B.Tech./M.E. students of all Technical Universities)

32. Comprehensive Mathematics for N.D.A.

33 - 37. Topics in Mathematics      (For B.A./B. Sc. Course – Semester I - V, Bangalore University, Karnataka)       

38.  Examination Papers In Engineering Mathematics including Model Question Papers (For U.P.T.U. – Semester I)

39. Examination Papers In Engineering Mathematics including Model Question Papers (For U.P.T.U. – Semester III)

40. Examination Papers In Computer Based Numerical And Statistical Techniques including Model Question Papers (U.P.T.U. Sem. III)

41. Computer Oriented Numerical and Statistical Methods using C [ For Distance learning Programme of M.C.A.Ch. Devi Lal Univ., Hisar)

42. Applied Mathematics – III (For Amity University – Semester III)

43. Applied Mathematics – I (For Amity University – Semester I)

44. Applied mathematics – II ( For Amity University – Semester II )

45. Numerical Methods and Statistical Techniques using C [ I Edition]  [ For All Universities of India and abroad ]

46.  A Text Book of Engineering Mathematics   I edition   (For B.Tech. I Semester, Uttrakhand Tech. Univ., Dehradun)

47.  A Text Book of Engineering Mathematics   I edition   (For B.Tech. II Semester, Uttrakhand Tech. Univ., Dehradun)

48.  A Text Book of Engineering Mathematics  I edition   (For B.Tech. III Semester, Uttrakhand Tech. Univ., Dehradun)

Infinity Science Press, U.S.A.

49. Computer Based Numerical and Statistical Techniques ( I Edition )

50. A Text Book of Engineering Mathematics [ Iedition ]            [ For  students of all Universities ]

Himani Publications, Meerut

 51 - 52.Self Tutor Series    (For B.Tech. I and III Semesters, U.P.T.U., Lucknow)

 Sahitya Bhawan Publications, Agra

53.   Objective Maths         (For U.P. Lecturer Entrance Examination)

Benison Publications, Mathura

 54 – 58. Text Books for classes I  – V

Prabhat Publications, Mathura

 59 - 63. Guides for classes VI –VIII, X, XII (II Part)  (For C.B.S.E. Board, New Delhi)

 Rahul Publications, New Delhi

64 – 66.   Rajiv C.B.S.E. Sample Question Papers for classes IX, X, XII

67.           Rajiv C.B.S.E. Super Special Guess Papers for class X

68 – 69.   Rajiv Mathematics without fear for classes IX, X

70.           Remember Me – A Text Book of Mathematics in Hindi for class X

71.           C.B.S.E. Question Bank cum Assignment & Solution for class XII

 Awards and Scholarships : 

  1. Scholarship, Certificate and Medal from the Hon’ble Governor, U.P. for securing 14th position in 12th (U.P. Board Exam.) in the year 1994.
  2. National Scholarship from class – VIII to graduate level.
  3. Medal and a certificate from Agrawal Sabha, Kosi Kalan for obtaining highest marks  in class X (U.P. Board ) in the district.
  4. Medal and a certificate from Agrawal Sabha, Mathura for obtaining 14th merit position in class XII (U.P. Board)  in the state.
  5. Medal and a certificate from Greater Jesis Chamber, Mathura for obtaining 14th merit position in class XII (U.P. Board)  in the state of Uttar Pradesh.
  6. I rank holderin a mathematical Quiz organized at IIT, Kanpur in the QIP/Short term course held during July 3 – 15 , 2006.
  7. Awarded as “Yuva Pratibha” by Gramin Patrakar Association of Mathura on March 21, 2005.
  8. Won a medal as a member of the winning cricket team at the G.L.A. Institute ground on Sep. 21, 2007 and at the G.L.N.A. Institute ground on July 21, 2012.

 

Special Achievements :   

 1.          Head – Examiner of U. P. Technical University, Lucknow for B.Tech. II Sem. (Maths– II) in the session 2003-04.

2.           Head – Examiner of G. B. Technical University, Lucknow for B.Tech. IV Sem. (Maths– III) in the session 2010 - 11.

3.           Dy. Head – Examiner of U. P. T. U., Lucknow for B.Tech. III Sem. (Maths– III and C.B.N.S.T.) in the session 2005-06.

4.           External Practical Examiner of Numerical Techniques Lab (MCA - 173) at Ewing Christian Institute of Management &  

              Technology, Allahabad on Dec. 28, 2007.

5.           Internal Practical Examiner of Dr. B.R.Ambedkar University, Agra in the subject “Numerical analysis and Computer   

              Programming” for B.E. V Sem. Examination on April 3,2002 at G.L.A.I.T.M., Mathura.

6.           Examiner of U. P. T. U., Lucknow for B.Tech. II Sem. (Maths – II) in the sessions 2001-02, 2002-03, 2004-05 and 2008- 09.

7.           Examiner of U. P. Technical Univ., Lucknow for B.Tech. III Sem. (Maths – III) in the sessions 2002-03, 2003-04 and 2006-07.

8.           One of the founder members of the Academic Council of G.L.A. University, Mathura

9.          Examiner of U. P. Technical Univ., Lucknow for B.Tech. III Sem. (C.B.N.S.T.) in the session 2006-07.

10.         Examiner of  U. P. Technical Univ., Lucknow for B.Tech. I Sem. (Maths – I) in the session 2004-05.

11.         Examiner of special summer examinations of U. P. T. U., Lucknow for B.Tech. I Sem. (Maths – I) in the session 2007-08.

12.        Observer of U. P. Technical Univ., Lucknow in the even sem. exam. 2002-03.

13.         Observer of U. P. Technical Univ., Lucknow in the odd semester exam. 2003-04 and 2004 - 05.

14.         Worked as a member of the Editorial Board of the G.L.A. newsletter “GLADTIMES” from the year 2004 to 2012.

15.         Donor of 519 books to the central library of G.L.A. University, Mathura.

16.         Appointed as a GROUP LEADER of Anti Ragging disciplinary committee of the main building of G.L.A.I.T.M., Mathura                      during the session 2009 –10 and 2012 – 2013.

 17.         Worked as a member of Technical Session Committee in various national conferences held at G.L.A.I.T.M. , Mathura.

18.         The permanent member of Mathematics Experts Committee for selection of faculty members in G.L.A. University,                               Mathura since the year 2000.

19.          Coordinator of the Summer Classes organized by U. P. Technical University, Lucknow held at the G.L.A.I.T.M., Mathura                 during July 16 – Aug. 4, 2007; July 5 – July 24, 2008 and Aug. 2 – Aug. 21, 2010.

20.          Appointed as ‘Academic Councellor’ of a class of B.Tech. I year in 2009-10 and 2010 – 11.

21.         Appointed as a member of Board of Studies of the department of Applied Sciences and Humanities of G.L.A. University,                Mathura in the academic session 2010 – 11.

22.        Appointed as one of the Assistant Centre Superintendent (ACS) of Examinations of GLA University, Mathura for the                        session 2013 – 2014 on 22.08.2013 and for the session 2014 – 15 on 26.08.2014.

23.        Appointed as member of the Literary Club “Maverics” in the sessions 2012 – 2013 and 2013 – 2014.

 24.        Appointed as member of Curriculum Development Cell (CDC) of GLA University on 12.04.2014.

 25.        Appointed as member of Research Promotion Cell (RPC) of GLA University on 08.05.2014.

 26.        Appointed as member of Library Advisory Committee of GLA University on 04.06.2015.