MATH314 Differential Equations and Mechanics Assessment Answers Australia

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A differential equation is a mathematical equation that links the parameters of the function as well as its derivatives of various orders to a fractional derivative of one or more variables. Mathematical expressions are used extensively in physics, engineering, finance, and many other fields. Differential equations appear in many scientific and technological fields, particularly when a predetermined relationship involving certain constantly evolving values and associated rates of growth in space and/or time (represented as derivatives) is recognized or posited. This is extended in conventional dynamics, in which a body's motion is described by its location and momentum as the time value changes.

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Structure of Course

• Review of First and Second order differential equations
• Orthogonal curves
• Numerical solutions.
• Systems of differential equations and higher-order DEs
• Laplace transforms in DE solution
• Power Series Solutions
• Kinematics
• Projectile Motion
• Force and Momentum
• Work, Energy and Power
• Rotational Motion
• Simple Harmonic Motion
• Statics

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Learning Outcomes

Learning outcomes of the course are listed below:

• To simulate basic circumstances, use differential equations.
• To solve DEs, use fundamental techniques such as Laplace transforms and numerical approaches.
• In most circumstances, use the Power Series to configure DE solutions.
• Difficulties in basic biomechanics, particularly vector variables, must be solved.
• Solve elementary dynamics issues such as circular motion and simple harmonic motion.
• Solve statistics and data, force equilibrium, and torque difficulties.

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