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Welcome to Engineering Mathematics 1

Welcome to Engineering Mathematics 1. Introduction. Welcome to Engineering Mathematics 1. These are the topics we will cover over the following 6 weeks Coordinate systems Cartesian and polar coordinates Equation of a straight line Complex numbers Algebra of complex numbers

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Welcome to Engineering Mathematics 1

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  1. Welcome to Engineering Mathematics 1

  2. Introduction Welcome to Engineering Mathematics 1 These are the topics we will cover over the following 6 weeks Coordinate systems Cartesian and polar coordinates Equation of a straight line Complex numbers Algebra of complex numbers The Argand diagram (complex plane) Polar form Complex conjugate Complex roots of polynomials

  3. Introduction Welcome to Engineering Mathematics 1 Matrices and systems of equations Systems of linear equations Gaussian elimination Matrix algebra Zero and identity matrices Inverse matrix Determinants of 2 by 2 and 3 by 3 matrices Properties of determinants Row reduction methods Inversion by Gauss-Jordan method Iterative techniques | Jacobi iteration Eigenvalues and eigenvectors

  4. Introduction Welcome to Engineering Mathematics 1 Calculus of functions of one variable Curve sketching Exponent and logarithm Hyperbolic functions l'Hopital'srule Taylor's theorem Maclaurin and Taylor series Classification of stationary points Newton-Raphson iteration Definition of an integral Integration as anti-differentiation Integration by parts Integration by substitution Applications of integration

  5. Introduction Methods of Learning Lectures Mondays 4-6pm in SSB329 Wednesdays 11am-1pm in TB329 Example Sheets You will be given the solutions so that you can do the example sheets at home Tutorial Fridays 9am-11am in SSB329

  6. Introduction Methods of Learning HELM E-books WebCT All of this is available through WebCT. Go to webct.nottingham.ac.uk and login. You will have access to EHM11 and EHM12 Past Exam Papers Exam papers with solutions will be available through WebCT. More past papers will be available at my.nottingham.ac.uk. Search for the module codes HG1M11 and HG1M12 Contact You can always email me.

  7. Conclusion Optional reading for thislecture HELM Workbook 2.1 Basic Concepts of Functions HELM Workbook 2.2 Graphs of Functions and Parametric Form HELM Workbook 2.3 One-to-One and Inverse Functions HELM Workbook 2.4 Characterising Functions HELM Workbook 2.5 The Straight Line HELM Workbook 2.6 The Circle HELM Workbook 2.7 Some Common Functions OR Chapter 6fromMathematics for Engineers (Croft & Davidson)

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