Applied mathematics for engineering technology students. Topics include right-triangle trigonometry, the law of sines and cosines for oblique triangles, operations with radical expressions, and dimensional analysis — the mathematical tools behind engineering calculations and measurements.
Right-triangle trigonometry — applying sine, cosine, and tangent (SOH-CAH-TOA) to solve for unknown sides and angles in right triangles, with engineering measurement applications.
Law of sines and cosines — solving oblique triangles (non-right) using the law of sines and law of cosines for cases with various known combinations of sides and angles.
Radical expressions — simplifying, adding, subtracting, multiplying, and dividing radical expressions; rationalizing denominators; and applying these operations in algebraic contexts.
Dimensional analysis — converting between units systematically using conversion factors, applied to problems involving mixed engineering units.
Engineering applications — applying trigonometric relationships to layout, measurement, and angle problems of the type encountered in machining, construction, and design contexts.
Technical Mathematics is the mathematical language of engineering technology. The topics covered — trigonometry and radicals — show up constantly: in calculating angles for machined parts, in structural analysis, in resolving force vectors, and in reading and producing technical drawings.
The emphasis throughout is on application rather than abstract theory. Problems are framed in engineering contexts so that the connection between the math and the work it enables is always clear.
These foundations feed into essentially every quantitative course that follows in the MET program.
Series of word problems involving angle and distance calculations in engineering contexts — including layouts, ramp angles, and indirect measurement scenarios using right and oblique triangles.
Practice set covering simplification and operations with radical expressions, including adding unlike radicals, multiplying binomial radical expressions, and rationalizing denominators.