OFFICE HOURS in the week before the exam:

11.30-13.00 and 14.00-15.30 on Wednesday 9th of May 2012

1. Official web page

   Maths UG Handbook

2. Timetable

   Time		Lecture Room
   Mon.	09:00-10:00	Mason
   Tue.	13:00-14:00	Mason
   Tue.	15:00-16:00	Mason

3. Office hours (during teaching semesters)

   Mon.	12:30-13:30
   Wed.	11:30-12:30

   ( other periods: please contact me by email )
   • Office: 452
   • email: Y.Fyodorov@qmul.ac.uk

4. Tutorials
   Tutorials begin in week 2. You have been sent an email letting you know that your group number and tutorial time can be downloaded via Blackboard.

5. Regulations for Tutorials and Exercise Sheets
   Exercise sheets contain in-class problems (labelled by numbers, i.e. 1,2,3.., to be discussed in the tutorials) and homeworks (labelled by letters, i.e. A,B,C,..., to be handed in during tutorials for marking).
   • ALL homeworks must be handed in during the tutorials. To be accepted, the homeworks must
     • display the student's number and name
     • be stapled
     Marked scripts are returned in tutorials.

   • Exercise sheets / Marking schemes / Lecture notes
     

     	no.	due in	solutions	lecture notes
     week 1	sheet 1	-	solution 1	notes 1
     week 2	sheet 2	Week 3	solution 2	notes 2
     week 3	sheet 3	week 4	solution 3	notes 3
     week 4	sheet 4	week 5	solution 4	notes 4
     week 5	sheet 5	week 6	solution 5	notes 5
     week 6	sheet 6	week 8	solution 6	notes 6
     week 8	sheet 7	week 9	solution 7	notes 7
     week 9	sheet 8	week 10	solution 8	notes 8
     week 10	sheet 9	week 11	solution 9	notes 9
     week 11	sheet 10	-	solution 10	notes 10

   • Mid- and End-term tests
     The test is OPEN BOOK (see below for details)

     when	where
     TBA	TBA

     mid-term test (2009)
     mid-term test solution (2009)
     mid-term test (2010)
     mid-term test solution (2010)
     mid-term test (2011)
     end-of-term test (2010)
     end-of-term solution (2010)
     end-of-term test (2011)
     end-of-term solutuions (2011)
     end-of-term test (2012)
     end-of-term solutuions (2012)

   • Literature
     main textbook
     • J. Polking, A. Boggess, D. Arnold: Differential Equations (Pearson 2001, 2006), ISBN 0-13-143738-0
     secondary textbooks
     • J. M. Cushing, Differential Equations (Pearson 2004)
     • W. Kohler and L. Johnson, Elementary Differential Equations (Pearson 2006)
     • S. W. Goode and S. A. Annin, Differential Equations and Linear Algebra (Pearson 2007)
     • J. Farlow, J. E. Hall, J. M. McDill, and B.H. West, Differential Equations & Linear Algebra, (Pearson 2007)
     • J. R. Brannan and W. E. Boyce, Differential Equations (Wiley 2007)

   • Content (pages refer to the main textbook)
     • difference quotient, derivative and linear approximation, geometric meaning of derivative, antiderivative, verification of solutions by substitution, solution by integration (pp. 6-15).
     • geometric meaning of a first order differential equation, initial value problem, solution by geometric method, direction field (pp. 16-25).
     • separation of variables for first order differential equations, implicitly defined solutions (pp. 27-35).
     • first order linear differential equation, homogeneous and inhomogeneous equations, variation of parameters (pp. 47-54).
     • differential forms, integral curves, exact differential equations, integrating factors, homogeneous differential equations (pp. 63-74).
     • linear second order differential equations with constant coefficients, homogeneous equations, superposition, characteristic equations, real roots, complex roots, degenerated roots (pp. 150-163).
     • inhomogeneous equations with constant coefficients, method of undetermined coefficients, variations of constants formula, forced oscillations and visualisation (pp. 164-177).
     • matrices, eigenvalues and eigenvectors (2 dimensional) (pp. 372-376).
     • linear systems in two dimensions, equivalence to second order equation, solutions by linear algebra (pp. 378-389).
     • phase space in two dimensions, solutions of linear two dimensional systems, stable/unstable nodes/foci, planar phase space portraits, classification of equilibria (pp. 392-405).
     • autonomous equations and stability, linearisation of nonlinear systems, characterisation of equilibrium points (pp. 92-100, 458-468).

   • Final exam
     • Examinable material: Class notes.
     • Duration: 2 hrs.
     • Grade boundaries: Standard QM Maths.
     • exam problems 2011+solutions
       exam paper (2010)
       exam paper (2009)
       marking scheme (2008)
       exam paper (2008)
       
     • the exam is OPEN BOOK

       permitted:	any printed material, e.g. books
       	any handwritten notes
       	photocopies of any kind
       prohibited:	using electronic devices, e.g. calculators or mobile phones
       	sharing material with other students

   • Key objectives
     To pass the exam, you must be able:
     • to solve differential equations by substitution.
     • to solve differential equations of first order (linear equations, non homogeneous equations, separation of variables).
     • to solve linear (homogeneous) differential equations of second order.
     • to solve two-dimensional systems of linear differential equations.

   • Rubric
     You should attempt all questions. Marks awarded are shown next to the question.
     (that means: calculators are NOT permitted in this examination)

   • Assessment ratio splits
     20% mid-term tests, 80% final exam

   • Attendance
     The school expects that students attend every lecture and tutorial. The school will terminate the college registration of students who fail to submit homeworks and do not attend lectures.