Course Overview
Numerical integration with application to shear and bending moments; solution of differential equations with application to mixing and to motion in viscous and resistive media; numerical differentiation with application to signal processing; solution of non-linear equations applied to geometric problems; matrix methods applied to computer graphics. Use of spreadsheets to solve practical problems and to calculate basic descriptive statistics.
Prerequisite(s)
- 50% in MATH 2491
Credits
4.0
- Not offered this term
- This course is not offered this term. Notify me to receive email notifications when the course opens for registration next term.
Learning Outcomes
Upon successful completion, the student will be able to:
- Use a numerical integration technique (including the Trapezoid Rule and Simpson's Rule) to evaluate a definite integral, such as in area or volume calculations and bending moment problems.
- Use a numerical scheme to differentiate a given function or time-series; for example to calculate the velocity of an object from a time-series of its displacement.
- Determine the best step-size to use in the various numerical methods covered, taking into account the effects of truncation error and round-off error.
- Find the roots of a non-linear function using a numerical technique (including Newton-Raphson iteration); e.g., with application to the geometry of a three-bar mechanism.
- Use a numerical method (including Euler's Method) to solve a first order differential equation, as required in calculations pertaining to beam loading and hydrostatic pressure.
- Solve a system of simultaneous linear equations using matrix inversion; e.g., with application to mixing problems and computer graphics.
- Use the statistical functions of a spreadsheet (Excel) and interpret the output.
- Demonstrate spreadsheet fluency for all relevant applications.
Effective as of Fall 2003
Programs and courses are subject to change without notice. Find out more about BCIT course cancellations.