Baruch Cahlon

Professor

Department of

Mathematics and Statistics

Oakland University

Rochester, MI 48309

 

Office: 550 SEB (248-370-3435)

Fax: 248-370-4184

E-mail: cahlon@oakland.edu

Home: 248-373-3776

 

 

 

Current Courses:

 

Winter 2015

MTH 118

 

MTH254: Mutivariable Caculus

 

FALL 2014

 

MTH 122-Calculus for Social Science

Summer 2014

 

MTH 155

 

WINTER 2014

 

Calculus for Social Science

 

Summer 2010

MTH275-Linear Algebra-Summer Camp

 

Fall 2013

 

MTH122-Calculus for the Social Science

 

MTH 118

MTH 154 FALL 2011

 

Homework for Chapter 3

Homework for Chapter 3 (cont)

Homework for Chapter 5

Homework Chapter 2

MTH 154 QUIZ

Winter 2011

 

APM 255

Winter 2012

MTH 118

 

MTH 155

Summer 2013

MTH 155

 

Fall 2012

 

MTH 118

 

MTH 452/MTS 517

 

Winter 2013

MTH 453 -Advanced Calculus II

MTH  155

Summer 2011

MTH 155-Calulus II

 

Fall 2008 Courses:

  MTH155L – Calculus II

  MTH254 – Multivariable Calculus

  EDUCATION

  PROFESSIONAL EXPERIENCE

  AREAS OF EXPERTISE

  RESEARCH INTERESTS

  MEMBERSHIP IN PROFESSIONAL ORGANIZATIONS

  GRANTS AND AWARDS

  PUBLICATIONS

  RESEARCH IN PROGRESS

 

 


 

EDUCATION:

 

PROFESSIONAL EXPERIENCE:

 

AREAS OF EXPERTISE:

 

RESEARCH INTERESTS:

 

MEMBERSHIP IN PROFESSIONAL ORGANIZATIONS:

 

GRANTS AND AWARDS:

          Recipient of 2012 Oakland University Research Excellence Award

 

PUBLICATIONS

Books:

  1. Face Recognition: Cognitive and Computational process (publisher: John Benjamins, (with S. Rakover)), 2001

 

Articles:

 

        

1.   Stability Criteria for Certain Neutral Equation with Two Delays (with D. Schmidt),  To appear in Dynamic of Continuous and Impulsive Systems, Series A: Mathematical Analysis,.

2.     Cognitive Processing of scramble Faces (with S. Rakover), to appear in American Journal of Psychology

  1. Necessary conditions and algorithmic stability tests for certain higher odd order neutral delay differential equations (with D. Schmidt) Dynamic Systems and Applications 20 (2011) pp. 223-246 (refereed).
  2. Stability criteria for certain neutral high even order delay differential equations (with D. Schmidt) Dynamic of Continuous, Discrete and Impulsive Systems, Series A: Mathematical Analysis 18(2011) pp. 673-697 (refereed).
  3. Stability criteria of first order delay differential equations with m Commensurate Delays (with D. Schmidt) Dynamic of Continuous, Discrete and Impulsive Systems 19(2010) pp. 353-374 (refereed).
  4. Some new Chebyshev spaces (with D. Schmidt) Journal of Approximation Theory , 161(2009) pp. 819-824 (referee)
  5. A face recognition by similarity (FRBS) conjecture (with S. Rakover) Perception & Psychophysics, 70 (6) (2008), pp. 969-982 (refereed).
  6. Stability criteria for certain even order delay differential equations (with D. Schmidt) Journal of Mathematical Analysis and Applications, 334(2007), pp. 859-875 (refereed).
  7. Stability criteria of odd order delay differential equations (with D. Schmidt) Journal of Computational and Applied Mathematics, 20(2007) pp. 408-423 (refereed)
  8. Note on asymptotic stability of a mechanical robotic model with delay and negative and positive damping (with D. Schmidt), Dynamic Systems and Applications, 16(2007) pp. 311-326 (refereed).
  9. Stability criteria for certain third order delay differential equations (with D. Schmidt), Journal of Computational and Applied Mathematics, 188(2006) pp. 319-335 (refereed).
  10. Asymptotic stability of a mechanical robotics model with damping and delay (with D. Schmidt) Journal of Mathematical Analysis and Applications, 303(2005), pp. 36-53 (refereed).
  11. Stability criteria for certain second-order delay differential equations with mixed coefficients (with D. Schmidt) Journal of Computational and Applied Mathematics, 188(2004) pp. 79-102 (refereed).
  12. Stability criteria for certain second order delay differential equations (with D. Schmidt), Dynamic of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis 10 (2003) pp. 593-621 (refereed).
  13. Oscillations of linear delay differential equations of neutral and mixed type, Neural Parallel & Scientific Computations, Vol. 10(2002), pp. 77-90 (refereed).
  14. On stability of a first-order complex delay differential equation (with D. Schmidt), Proceedings of Neural and Scientific Computations , Vol. 2(2002), pp. 261-264 (refereed).
  15. Oscillations tests of linear delay differential equation of neutral and mixed type, Proceedings of Neural and Scientific Computations , Vol. 2(2002), pp. 265-268 (refereed).
  16. Asymptotic stability of linear delay differential equations, Mathematical Systems and Applications, Vol. 10 (2001), pp. 63-88. (refereed).
  17. The numerical solution of discrete delay systems, Computers and Mathematics with Applications (with Guang Da Hu), Vol. 42 (2001), pp. 735-741 (refereed).
  18. On generic oscillations for delay differential equations (with D. Schmidt), Proceedings of Dynamic Systems and Applications ,(2001), pp. 105-112 (refereed).
  19. Algebric criteria for stability of linear systems with a single delay (with Guang Da Hu, and Guang Di Hu) Journal of Computational and Applied Mathematics 135, (2001) pp. 125-133 (refereed).
  20. On stability of systems of delay differential equations (with D. Schmidt), Journal of Computational and Applied Mathematics , Vol. 117, No. 2 (2000), pp. 137-158 (refereed).
  21. A note on generic oscillation for delay differential equations (with D. Schmidt), Journal of Mathematical Analysis and Applications, Vol. 239, ,(1999), pp. 591-598 (refereed).
  22. Algorithmic stability tests for certain systems of delay differential equations (with D. Schmidt). Proceedings of the International Conferencew on Biomathematics Bioinformatics and Applications of Functional Differential Equations, (1999), pp. 73-8 (refereed).
  23. The catch model, a solution to the problem of saliency in facial features (with S. Rakover), Journal Spatial Vision, Vol. 12, ,(1999), pp. 73-81 (refereed).
  24. Oscillations in a thermostat model (with D. Schmidt, M. Shillor and X. Zou), Advances in Mathematical Analysis and Applications, Vol. 9, No. 1, (1999) pp. 24-49 (refereed).
  25. Oscillations in neutral differential equations, Proceedings of the Fourteenth Annual Conference on Applied Mathematics, (1999) pp. 79-89 (refereed).
  26. Estimation on numerically stable step-size neutral delay differential equations with multiple delays (with Guang-Da Hu), Jounrnal of Comp. and App. Mathematics, Vol. 102, No. 2, (1999) pp. 221-234 (refereed).
  27. Uniform stability for neutral differential equations, Proceedings of the Thirteenth Annual Conference on Applied Mathematics, (1998) pp. 68-81 (refereed).
  28. Sufficient conditions for oscillations of higher order neutral delay differential equations, added volume to Discrete and Continuous Dynamic Systems Journal, 1 (1998) pp, 124-137 (refereed).
  29. Generic oscillations for delay differential equations (with D. Schmidt), Journal of Math. Anal. and Applications, 223 (1998), pp. 288-301 (refereed).
  30. Analysis of thermostat model (with D. Schmidt, M. Shillor, and X. Zou), European Journal of Applied Mathematics, 223 (1997), pp. 437-455 (refereed).
  31. Stability criteria for certain delay integral equations of Volterra type, (with D. Schmidt), Journal of Computational and Applied Mathematics, 84 (1997), pp. 161-188 (refereed).
  32. Unconditional stability for certain delay differential equations, Dynamic Systems and Applications, 5(1996) pp. 583-594 (refereed).
  33. Predictor-corrector algorithms for differential equations with a state-dependent delay, Proceedings of Neural, Parallel and Scientific computations, 1996 (refereed).
  34. Stability of a Finite-Difference Solution for the Heat-Equation with a Nonlocal Constraint (with D. Kulkarni and P. Shi), SIAM Journal of Numerical Analysis, Vol. 32, No. 2, 1995, 571-593 (refereed).
  35. Numerical stability of reducible quadrature rules for Volterra integral equation with delays, Neural, Parallel and Scientific Computations, Vol. 3, 1995, 281-292 (refereed).
  36. On the stability of Volterra integral equations with a lagging argument,BIT- Computer Science and Numerical Mathematics Journal, 1995, Vol. 35,19-29 (refereed).
  37. Analytic Approximation of Solutions of Differential Equations (with L. Bragg), . Complex Variable, Vol. 20, 1994, 11-40 (refereed).
  38. Numerical stability of Volterra integral equations with or without delay, Proceedings of Dynamic Systems and Applications-I, (1994), 43-550 (refereed).
  39. Convective cooling and optimal placement of electric components with variable ambient temperature: The linear model.(with I.E. Shgchochetman and M. Shillor), Journal of Computational and Applied Mathematics, 47 (1993), 351-367 (refereed).
  40. Oscillatory solution of Volterra integral equations with state-dependent delays, Journal of Dynamic Systems and Applications, 2 (1993), 461-469 (refereed).
  41. On the numerical stability of Volterra integral equations (with A. Deutz), IMACS Computational and Applied Mathematics, II(1992), 277-286 (refereed).
  42. Numerical solutions for functional integral equations (with D. Schmidt), IMA Journal of Numerical Analysis, Vol. 12,(1992), 527-543 (refereed).
  43. Optimal Placement of Heat Sources on a Rectangular Grid (with I.E. Schochetman and M. Shillor), Journal of Mathematical Analysis and Applications, Vol. 34 (1992), 351-364 (refereed).
  44. Numerical solutions for functional integral equations with state-dependent delays, Applied Numerical Mathematics, Vol. 9 (1992), 291-305 (refereed).
  45. A Model for the Convective Cooling of Electronic Components with Application to Optimal Placement (with I. Gertsbahk, I.E. Schochetman and M. Shillor), Math. Comput. Modeling, Vol. 15, No. 2 (1991), 59-75 (refereed).
  46. Numerical Methods for Discontinuous Linear Boundary Value Problems with Deviation Arguments (with L.J. Nachman), Journal of Mathematical Analysis and Applications, Vol. 154, No. 2 (1991), 529-542 (refereed).
  47. Fixed Points for Extrema of Contractions (with I. E. Schochetman), J. of Math Analysis and Applications (1990), Vol. 146, No. 1, 280-297 (refereed).
  48. On the numberical stability of Volterra integral equations with delay arguments, Journal of Computational and Applied Mathematics, 33 (1990), 97-104 (refereed).
  49. Numerical Solutions of X and Y equations with perturbations, IMACS Annals on Computation and Applied Mathematics (1989), Vol. 5, 399-407 (refereed).
  50. To Catch a Thief with a recognition test: The model and some empirical results (with S. Rakover), J. of Cognitive Psychology (1989), Vol. 21, 423-409 (refereed)
  51. Numerical Methods of Initial Value Problems, J. of Applied Numerical Mathematics (1989), Vol. 5, 299-407 (refereed).
  52. Numerical solution of differential equations with deviation arguments (with L. J. Nachman), International Journal of Modeling and Simulation, 1(1988), 10-15 (refereed).
  53. Existence Theorems of random solutions to stochastic functional integral equations, Comput. Math. Applic. 15(1988), 473-481 (refereed).
  54. Numerical solution of parabolic equations with a state-dependent delay, Advances in Computer Methods for Partial Differential Equations-VI, Proceedings of IMACS, 1987 (refereed).
  55. Numerical solution of Volterra integral equations with a solution dependent delay (with L. J. Nachman), J. of Math Analysis and Applications, 112(1985), 541-562 (refereed).
  56. Numerical solution of Volterra integral equations with delay arguments (with L. J. Nachman and D. Schmidt), J. of Integral Equations, 7(1984), 191-208 (refereed).
  57. Numerical approximation of nonlinear Volterra functional operators, Numerical Solution of Singular Integral Equations, Proceedings of IMACS, (1984), 12-17 (refereed).
  58. On solving the Plateau problem in a parametric form (with L. J. Nachman and A. D. Solomon), International J. of Mathematics and Mathematical Sciences, 6(1983), 341-362 (refereed).
  59. Numerical solutions of a perturbed Chandrasekhar H-equation (with L. J. Nachman), J. of Math Analysis and Applications, 85(1982), 599-625 (refereed).
  60. Piecewise Polynomial approximate solution of an automatic control problem (with D. Schmidt), IMA J. of Numerical Analysis, 2(1982), 1-19 (refereed).
  61. Numerical solution of non-linear Volterra integral equations, J. of Computational and Applied Mathematics, 7(1981), 121-128 (refereed).
  62. The Heat equation with stochastic non-linear boundary conditions, J. of Differential Equations, 39(1981), 426-444 (refereed).
  63. Safe solution of a car-following problem, J. of Math Analysis and Applications, 81(1981), 135-155 (refereed).
  64. Existence Theorems for an integral equation of the Chandrasekhar H-equation with perturbation (with M. Eskin), J. of Math Analysis and Applications, 83(1981), 159-171 (refereed).
  65. Numerical solution of Volterra integral equations with continuous or discontinuous terms (with D. Westreich), J. Inst. Math Applications, 26(1980), 175-186 (refereed).
  66. Complete continuity of integro-differential operators with discontinuous kernels and collectively compact approximations (with D. Westreich), J. of Math Analysis and Applications, 71(1979), 313-332 (refereed).
  67. Numerical methods for discontinuous linear two-points boundary value problems (with D. Westreich), J. of Comp. and Appl. Math, 5(1979), 111-115 (refereed).
  68. A confidence headway for safe car-following (with J. Harband), J. of Math Analysis and Applications, 69(1979), 511-530 (refereed).
  69. On the initial value problem for a certain partial differential equation, BIT, 19(1979), 164-171 (refereed).
  70. Numerical solution of a variational problem in automatic control, J. Inst. Maths Applications, 22(1978), 479-492 (refereed).
  71. The relation between the steady-state solution and the solution of a minimum problem, SIAM J. Appl. Math, 28(1975), 541-546 (refereed).
  72. The heat equation with stochastic solution-dependent boundary condition, J. of Differential Equations, 15(1974), 418-428 (refereed).

 

RESEARCH IN PROGRESS:

Submitted for Publication

1.   Neutral stability criteria for certain second order delay differential equations (with D. Scmidt) to be submitted.

In Preparation:

  1. Stability Criteria For Certain Neutral First Order Equations with m commensurate (with D. Schmidt).
  2. Stability Switches in Even Linear Neutral Differential Equations (with D. Schmidt)
  3.  Face recognition, A proposed Law of face recognition by similarity (with S. Rakover)

 

Baruch Cahlon (cahlon@oakland.edu) / May 27, 2009