Course Overview
This course provides an introduction to multivariable calculus—differentiation and integration—and linear algebra. Calculus will be used in a variety of Civil engineering applications including calculating moments and centroids for three-dimensional objects, solving non-uniform distributed-loading problems, axial loading of non-uniform members and optimizing a solution to a problem involving multiple variables. The basics of linear algebra will be introduced and applied to various Civil engineering applications including matrix analysis of trusses and the stiffness matrix method. In all areas, the use of a computer to find a numerical solution to a physical problem will be emphasized using a mathematics computer software package and/or a spreadsheet program.
Prerequisite(s)
Credits
4.0
- Not offered this term
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Learning Outcomes
Upon successful completion of this course, the student will be able to:
- Apply multivariable differential and integral calculus to computing physical properties used in mechanics of materials. [1]
- Use Taylor Series expansions of functions. [1]
- Solve problems in the appropriate coordinate system for the problem: Cartesian, cylindrical or spherical. [1, 2]
- Demonstrate working familiarity with the basics of linear algebra. [1]
- Solve independent & determinate systems of linear equations using various matrix methods. [1]
- Use the stiffness matrix method to analyze a loaded planar truss and determine axial forces and displacement of joints. [1, 2]
- Apply rotation of vectors and matrices to transformation between member local rotated and global coordinate systems. [1]
- Use spreadsheets and other software to numerically analyze integrals and derivatives to solve applied problems. [5]
Effective as of Fall 2018
Related Programs
Multivariable Calculus and Linear Algebra for Civil Engineering (MATH 3423) is offered as a part of the following programs:
- Indicates programs accepting international students.
- Indicates programs eligible for students to apply for Post-graduation Work Permit (PGWP).
School of Construction and the Environment
- Civil Engineering
Bachelor of Engineering Full-time
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