2324 105956 `DMEM131` Engineering Mathematics 3

To provide students with the ability to demonstrate mathematics skills, concepts and understanding in algebra, trigonometry and introductory calculus for students to be able to apply these skills to physical situations, and to select and use appropriate mathematical techniques in engineering related problem solving.

399 `CH3823` Diploma in Engineering (Mechanical) L6 396 `CH3802` Diploma in Engineering (Civil) L6 399 `CH3823` Diploma in Engineering (Mechanical) L6 15.0 3 Engineering 150.0 Manipulate algebraic expressions Transpose formulae Solve linear and quadratic equations with real roots Determine the roots of polynomial equations by factorisation Sketch graphs of polynomials up to degree 3 Sketch graphs of conics Sketch graphs of exponential and logarithmic functions Solve simultaneous equations in 2 and 3 unknowns Understand and use relationships for transforming between logarithmic and exponential expressions Solve indicial and logarithmic equations Investigate rates of growth and de Understand and use radian measure Understand and sketch trigonometric functions using amplitude, phase and period Solve trigonometric equations Sketch graphs of combinations of functions Perform determination of laws transformations Use and understand complex arithmetic in rectangular and polar forms Use and convert between rectangular and polar forms of complex numbers Represent complex numbers on the complex plane Solve quadratic equations with complex roots Define the derivative as a limit Use standard notation and variations of notation for differentiation Differentiate simple algebraic functions Differentiate trigonometric, logarithmic and exponential functions Determine higher order derivatives Differentiate sums, products and quotients of functions Find the derivative of a function of a function (chain rule) Find the derivative of implicit relations