A course combining elements of college algebra, college trigonometry, and statistics, with a particular focus on topics useful to future engineers or engineering techs. Manipulating literal equations; solving equations analytically and by graphing; solving systems of equations analytically and using matrix solvers; setting up and solving systems of equations for practical applications; trigonometric functions; laws of sines and cosines; vector analysis of forces in static equilibrium; basic concepts of probability; bell curve; confidence intervals and uncertainty analysis; correlation and regression. Meets MnTC Goal 4 Prerequisite: Math placement at the introductory college level.
Course Effective Dates: 1/31/19 – Present
Outline of Major Content Areas
As noted on course syllabus
Learning Outcomes
Increase proficiency working with literal equations and engineering notation, including significant figures (the electrical power wheel being a good example).
Apply concepts of trigonometry (including laws of sines and cosines) and plane geometry in various applications such as surveying, architecture, and machining.
Use vector analysis to analyze static equilibrium in trusses and other structures.
Write and solve systems of equations (using matrix solvers for high-dimensional systems) with applications to engineering situations such as DC circuit analysis (Kirchhoff's laws), static equilibrium in a truss and thermal conduction in a uniform solid.
Estimate lengths, areas, and volumes of regular and irregular geometries.
Construct confidence intervals and perform uncertainty analysis for a series of measurements (including zeroth, first, and nth-order sources of uncertainty).
Perform least-squares analyses, including correlation and regression.
Minnesota Transfer Curriculum Goal Area(s) and Competencies Goal 04 — Mathematical/Logical Reasoning
Illustrate historical and contemporary applications of mathematical/logical systems.
Clearly express mathematical/logical ideas in writing.
