MTH1124 Calculus for Engineers II

Course Description

Student Population: First year engineering and computer science students (some architecture, math and science majors)

Note: There are several versions of this course:

• MTH1121 is for students who would profit from a greater depth of coverage at a slower pace (including some pre-calculus review)
• MTH1141 is for mathematics and science majors and is effectively interchangeable with MTH1124
• MTH1724 and MTH1741 are the honors versions of 1124 and 1141.

Goals: The basic goals are to understand the definite integral as a limit of sums, to see how they can be applied to modeling physical and geometrical situations, and to learn how integrals can be computed numerically and, through the Fundamental Theorem, algebraically. Students will learn how to sketch and calculate a function from information (numerical, algebraic and graphical) about its derivative, and to apply this to problems such as finding areas, displacements, work and mass. Students will learn an assortment of numerical techniques, such as rectangular, trapezoidal and Simpson's approximations, and how to implement them on a calculator and spreadsheet. They will also learn selected techniques of algebraic antidifferentiation as well as the use of integral tables. The students will see that the many applications encountered throughout the course are united by the concept of the integral.

Topics:

• Sums and definite integrals
• Estimating definite integrals
• The Fundmental Theorem of Calculus
• Constructing a function from its derivative; applications
• Equations of motion
• Techniques of integration and tables
• Error estimates
• Applications to physics and geometry
• Computer lab problem sets on summing, estimation rules, construction and plotting of antiderivatives (using spreadsheets)

URL:   http://www.math.neu.edu/undergrad/course_descr/MTH1124CD.html