| Course # | Course Title | Course Description | |
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Math 1101 | Applications of Algebra | This course provides the non-calculus mathematics needed for students in business,economics, social sciences, life sciences, and agricultural sciences |
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Math 1726 | Calculus 4 for Engineers (Honors) |
This course is designed to cover the fundamentals of multivariable calculus spanning from a basic introduction to multiple integration.
(Math 1726 is the Honors version of Math 1223.) > Fun exercise: Circle the maxima, minima and saddles in this gradient plot. |
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Math 1240 | Chaos and Fractals | This course is designed to introduce the student to a rigorous study of chaos and fractals. The course concludes by introducing Julia sets and the famed Mandelbrot set. > Visit this Java applet that draws high quality orbit diagrams. |
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Math 1120 | Intensive Calculus I | This course provides the student with a solid foundation in algebra, geometry, trigonometry, functions, limits, and derivatives, with applications to optimization and other typical real world problems. |
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Math 1121 | Intensive Calculus II | This course covers the techniques and concepts behind integration - in particular, the fundamental theorem of calculus. We apply integration to physical problems such as calculation of volumes, average values, work and probability. |
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Math 1811 | Math Excel | Math Excel programs have sprouted up in many universities across the country as an effort to respond to the low retention rate of minorities or women in engineering. When I taught this, it was geared as a course subservient to the first year calculus sequence, which presented new theory and cahallenged students with problems that stretched beyond the scope of the basic calculus course. |
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Math 1223 | Multivariable Calculus | This course introduces vectors and parametric curves in 2 and 3 dimensions and then covers the calculus theory of multivariable functions. We study partial differentiation and multiple integrals. (At the time I taught this course, Northeastern didn't cover vector fields and related integration formulae until Calc 5 - a course which follows this one.) |
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Math 1140 | Calculus I (for science majors) | This course presents techniques and applications of derivatives of functions. The course quickly reviews the pre-requisites for the course, studies limits of functions, introduces the derivative of a function from phenomonological and algebraic perspectives, studies techniques of differentiation and finally concludes with applications to modeling and optimization. |
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Math 1137 | Discrete Mathematics (for engineers) | This course introduces students to foundational structures in mathematics and how to reason rigorously. We will study logic, set theory, number theory, combinatorics and Boolean algebra. Furthermore, we discuss algorithm design and basic methods to construct mathemtical proofs. |
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Math 1225 | Differential Equations (for engineers) | This is a first course dedicated entirely to techniques to solve differential equations. We will emphasize exact analytical methods though in computer labs we present methods to solve ODEs numerically. We cover common techniques for general first order equations, methods for linear equations of higher order, numerous examples from mechanics and circuits, and finally discuss the Laplace transform and its uses. |
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