Course created by Distinguished Professor Anthony Tromba and Lecturer Frank Bauerle at UC Santa Cruz
Vectors in n-dimensional Euclidean space. The inner and cross products. The derivative of functions from n-dimensional to m-dimensional Euclidean space is studied as a linear transformation having matrix representation. Paths in 3-dimensions, arc length, vector differential calculus, Taylor’s theorem in several variables, extrema of real-valued functions, constrained extrema and Lagrange multipliers, the implicit function theorem, some applications.
With a focus on the differential calculus of functions of several variables, Math 23A online is a course which stresses a modern matrix approach to the subject, although a prior knowledge of linear algebra is not required. The online format allows us to probe the historical foundations of the subject and its applications to the physical sciences. The course gives students a greater ability to self-pace their learning, experiment and use technology to further their knowledge and understanding through an interactive and dynamic E-Book and other learning tools. The course offers students an online discussion forum to post questions relating to the video lectures, homework, reading, and course logistics. Students are encouraged to respond to each others questions, and instructors and TA’s monitor these forums, responding to student questions as well. In addition, the teaching staff hold regular online office hours, as well as optional discussion sections.
Registration opens: May 22, 2017
Registration ends: Sep 27, 2017
First day of instruction: Sep 28, 2017
Last day of instruction: Dec 9, 2017
Please click here to download a syllabus for this course.