- MATHEMATICS FOR SCIENTISTS AND ENGINEERS PROBLEMS SET
- MATHEMATICS FOR ENGINEERS & SCIENTISTS: 061551 1. Solve the following.
- MATHEMATICS FOR ENGINEERS & SCIENTISTS: 061551 Critical Points
- MATHEMATICS FOR ENGINEERS & SCIENTISTS: MATH1551 List of Figures 2
- MES SOLUTIONS TO SET WORK: WEEK 19 110. By swapping the first and third rows, express
- MATHEMATICS FOR ENGINEERS & SCIENTISTS Curl and Div
- SPINNING AND BRANCHED CYCLIC COVERS OF KNOTS C. KEARTON AND S.M.J. WILSON
- S-EQUIVALENCE OF KNOTS Abstract. S-equivalence of classical knots is investigated, as well as its rela-
- SIMPLE NON-FINITE KNOTS ARE NOT PRIME IN HIGHER C. KEARTON AND S.M.J. WILSON
- QUADRATIC FORMS IN KNOT THEORY Abstract. The purpose of this survey article is to show how quadratic and
- MATHEMATICS FOR ENGINEERS & SCIENTISTS: 061551 Partial Differentiation 1
- MES SOLUTIONS TO SET WORK: WEEK 11 1 (a) f/x = 2x + y3
- MES SOLUTIONS TO SET WORK: WEEK 12 17. By the chain rule,
- MES SOLUTIONS TO SET WORK: WEEK 13 29. Let f = xy + 2yz + 3zx; then f = (3z + y, x + 2z, 2y + 3x) so f(1, -1, 1) =
- MES SOLUTIONS TO SET WORK: WEEK 16 65. (e) The corresponding homogeneous O.D.E. is y + y -2y = 0: the auxiliary
- MES SOLUTIONS TO SET WORK: WEEK 21 133 Show that the set
- MES SOLUTIONS TO TUTORIAL WORK: WEEK 13 div u = u =
- MES SOLUTIONS TO TUTORIAL WORK: WEEK 17 74 Solve y + 2y + y = -2e-x
- MES SOLUTIONS TO TUTORIAL WORK: WEEK 19 106. Using the matrix
- MES SOLUTIONS TO TUTORIAL WORK: WEEK 21 131 Show that the set
- MES SOLUTIONS TO TUTORIAL WORK: WEEK 22 154 Rewrite the equations
- MATHEMATICS FOR ENGINEERS & SCIENTISTS PARTIAL DIFFERENTIATION
- MATHEMATICS FOR ENGINEERS & SCIENTISTS Curl and Div
- MATHEMATICS FOR ENGINEERS & SCIENTISTS: MATH1551 1. K.E. Atkinson, An Introduction to Numerical Analysis, 2nd ed., Wiley, 1989. 4.2
- MES SOLUTIONS TO TUTORIAL WORK: WEEK 16 65(h) The corresponding homogeneous O.D.E. is 2y + 3y -2y = 0: the auxiliary
- SHARP BOUNDS ON SOME CLASSICAL KNOT INVARIANTS C. KEARTON AND S.M.J. WILSON
- MES SOLUTIONS TO SET WORK: WEEK 18 94. We have
- MATHEMATICS FOR ENGINEERS & SCIENTISTS: 061551 Partial Differentiation 1
- UNIVERSITY OF DURHAM DEPARTMENT OF MATHEMATICAL SCIENCES
- NONINVERTIBLE KNOTS OF CODIMENSION 2 Abstract. A proof of the noninvertibility of the pretzel knot (25, -3, 13) is
- MES SOLUTIONS TO SET WORK: WEEK 14 49(d) Find all the critical points of the following function and classify each as a local maximum, minimum
- 1. Functions of Several Variables 1.1. Partial Differentiation.
- MES SOLUTIONS TO SET WORK: WEEK 19 103 Determine whether the following matrix is positive definite.
- MES SOLUTIONS TO SET WORK: WEEK 12 16 By the chain rule,
- MES SOLUTIONS TO SET WORK: WEEK 13 28 Write down the equations of the tangent plane and the normal line to the surface x2
- MES SOLUTIONS TO TUTORIAL WORK: WEEK 16 63(e) Determine whether the following differential equations are exact and solve those which are
- MES SOLUTIONS TO SET WORK: WEEK 16 EQ 1. Check that the O.D.E.
- MES SOLUTIONS TO TUTORIAL WORK: WEEK 17 65(h) Find the general solution of 2y + 3y -2y = sin x.
- MES SOLUTIONS TO TUTORIAL WORK: WEEK 12 11 Repeat the above question but with x = s + t, y = s -t, z = st.
- MATHEMATICS FOR ENGINEERS AND SCIENTISTS PROBLEMS SET
- MES SOLUTIONS TO SET WORK: WEEK 17 65(g) Find the general solution of y + y -6y = 52 cos 2x.
- MES SOLUTIONS TO SET WORK: WEEK 18 81 Find AB and BA where
- MES SOLUTIONS TO TUTORIAL WORK: WEEK 13 35 Find div u where u = (cos y, cos z, cos x). Hence find div u at