233 results authored by Michael Proudman - search across all users.
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Ferrous Metals
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A set of MCQ designed to help Level 2 Engineering students prepare/practice for the on-line GOLA test that is used to assess the C&G 2850, Level 2 Engineering, Unit 202: Engineering Principles.
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Designed to instill a systematic method. The first 6 questions are scaffolded (step by step) followed by 2 randomly selected questions that only ask for a final answer.
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Simple application of "Power Rule" to differentiate single term functions.
All co-efficients and powers are integer (though some may be negative.
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2x2 by ad-bc, 3x3 by Laplace expansion, properties of determinants
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Multiplication of square and non square matrices, Identity matrices and zero matrices
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Scalar Multiplication of matrices, plus used in combination with addition & subtraction
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Addition and subtraction of random matrices.
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Basic definitions: Order, elements, Trace and Transpose.
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Fairly simple questions using differentiation "power rule" and "sum or difference rules" to differentiate single term functions and polynomials.
Some co-efficients and indices can be negative and/or fractional.
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Designed to instill a systematic method. The first 6 questions are scaffolded (step by step) followed by 2 randomly selected questions that only ask for a final answer.
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Designed to instill a systematic method. The first 6 questions are scaffolded (step by step) followed by 2 randomly selected questions that only ask for a final answer.
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Addition and subtraction of complex numbers
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Determinant of n x m matrix by Laplace Expansion across top row.
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Instructional "drill" exercise to emphasize the method.
Thanks to Christian for his method for use of gaps in fractions.
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Instructional "drill" exercise to emphasize the method.
Thanks to Christian for his method for use of gaps in fractions.
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Instructional "drill" exercise to emphasize the method.
Thanks to Christian for his method for use of gaps in fractions.
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Instructional "drill" exercise to emphasize the method.
Thanks to Christian for his method for use of gaps in fractions.
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Instructional "drill" exercise to emphasize the method.
Thanks to Christian for his method for use of gaps in fractions.
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Instructional "drill" exercise to emphasize the method.
Thanks to Christian for his method for use of gaps in fractions.
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Division (Rationalising) complex numbers in rectangular (Cartesian) Form.
Thanks are due to Christian for his Gap Fills in Fractions code and method
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Identify Real and Imaginary parts of a complex number
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Reinforcing definition of i
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Simple questions on identifying sequences/series etc.
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Identify co-efficients, then use quadratic formula to find roots.
All set to be distinct and real. Some can be non-integer (0.5 steps)
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Solve quadratic equations (non-simple case, two real, discrete integer roots) using the formula.
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Solve quadratic equations (non-simple case, two real, discrete roots) using the formula. Some, random, non integer roots.
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Calculate discriminant of quadratic equations and use to determine number/nature of roots.
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Calculation of quadratic discriminants.
State nature of roots.
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Calculation of quadratic discriminants.
State nature of roots.
