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  2. Cop yrig ht © 202 3 U nive rsity ...

    www.damtp.cam.ac.uk/user/examples/D16a.pdf
    6 Oct 2023: Using this todefine optimal truncation by N 1 = [x1], the integer part of x1, use Stirling’s for-. ... x (1s) in the integral andapplying Watsons Lemma.
  3. Cop yrig ht © 202 3 U nive rsity ...

    www.damtp.cam.ac.uk/user/examples/D16c.pdf
    6 Oct 2023: Use the WKBJ approximation to find approximate values for thebound-state energies (eigenvalues E for which ψ 0 as |x| ). (. E). =. s(. s 1). n 12. What are the allowed values ... Discuss the relation between the different expansionsin regions of overlap.
  4. This isa spec ific indiv idual’s copy of the ...

    www.damtp.cam.ac.uk/user/sjc1/teaching/PM/notes.pdf
    23 Aug 2023: 3.5.1 Watsons Lemma. 17. 3.5.2 Intermediate maximum (Laplace’s method). 19. 3.5.3 Stationary phase. ... a) The idea is to deform the contour and then use Watsons Lemma or Laplace’s Method.
  5. UNIVERSITY OF CAMBRIDGE Faculty of Mathematics SCHEDULES OF LECTURE…

    https://www.statslab.cam.ac.uk/~lab85/resources/schedules2324.pdf
    31 Oct 2023: The chain rule. Derivativeof the inverse function. Rolle’s theorem; the mean value theorem. ... Combinatorial analysis, permutations and combinations.Stirling’s formula (asymptotics for log n! proved).
  6. UNIVERSITY OF CAMBRIDGE Faculty of Mathematics SCHEDULES OF LECTURE…

    https://www.statslab.cam.ac.uk/~lab85/resources/schedules1819.pdf
    2 May 2023: Combinatorial analysis, permutations and combinations.Stirling’s formula (asymptotics for log n! proved). ... Oxford University Press 2nd Edition 2014† S. Ross A First Course in Probability.
  7. UNIVERSITY OF CAMBRIDGE Faculty of Mathematics SCHEDULES OF LECTURE…

    https://www.statslab.cam.ac.uk/~lab85/resources/schedules1920.pdf
    2 May 2023: Combinatorial analysis, permutations and combinations.Stirling’s formula (asymptotics for log n! proved). ... Oxford University Press 2nd Edition 2014† S. Ross A First Course in Probability.
  8. UNIVERSITY OF CAMBRIDGE Faculty of Mathematics SCHEDULES OF LECTURE…

    https://www.statslab.cam.ac.uk/~lab85/resources/schedules2021.pdf
    2 May 2023: Combinatorial analysis, permutations and combinations.Stirling’s formula (asymptotics for log n! proved). ... Oxford University Press 2nd Edition 2014† S. Ross A First Course in Probability.
  9. UNIVERSITY OF CAMBRIDGE Faculty of Mathematics SCHEDULES OF LECTURE…

    https://www.statslab.cam.ac.uk/~lab85/resources/schedules2122.pdf
    2 May 2023: Combinatorial analysis, permutations and combinations.Stirling’s formula (asymptotics for log n! proved). ... Oxford University Press 2nd Edition 2014† S. Ross A First Course in Probability.
  10. UNIVERSITY OF CAMBRIDGE Faculty of Mathematics SCHEDULES OF LECTURE…

    https://www.statslab.cam.ac.uk/~lab85/resources/schedules2223.pdf
    27 Apr 2023: s rule; integration as an area, fundamental theorem ofcalculus, integration by substitution and parts. ... Oxford University Press 2nd Edition 2014† S. Ross A First Course in Probability.

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