# Ryhstsdgrsrye

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Math 23 - Calculus III Spring 2022 Syllabus Course Information and Policies Instructors ** Prof. Vincent Coll* - Sections 210 - 213 and Sections 310 - 313 Prof. Xiaofeng Sun - Sections 110 - 113 **O ffi ce hours, contact information, etc. will be posted on the main Coursesite *Coordinator THE COURSE Prerequisites A grade of "C-" or higher in either of Math 22 or Math 32 Text Calculus, Early Transcendentals, Eighth Edition by J. Stewart Learning outcomes Upon successful completion of Math 23 - Calculus, students will have learned to/about: Use vector algebra, including the dot product and cross product, to describe and work with geometric objects such as lines, planes, and surfaces; Use the concept of the derivative and the integral of a vector-valued function and be able to use these objects to determine length, tangents, normals, and curvature, and to apply them in the study of motion; The concepts of limits, continuity, and di erentiability of functions of sev- eral variables; The concepts of partial derivatives, the gradient, and directional derivatives and developed the ability able to compute them; Understand and apply methods of optimization of functions of several vari- ables; Compute multiple integrals and apply them to finding mass, center of mass, and other physical quantities; Understand vector fields, be able to compute normal vectors and tangent planes to surfaces, line integrals, surface integrals, flux integrals, the curl, the divergence, and be able to apply these to mathematical and physical problems; Understand and be able to apply the fundamental theorem of line integrals, Green's theorem, Stokes' theorem, and the divergence theorem. 1
2 Coursesite There will be two Coursesite sites for this course, and you will automatically be enrolled in both. One site will have all information that is common to all sections of the course. The second site is for each individual sections. (The sections for Prof. Coll will be combined.) Classroom comportment et al Students may attend the o ffi ce hours of any MATH 23 instructor or TA. Additional help is available in the Mathematics Study/Help Center (CU 300), by appointment at the Writing and Math Center in Drown Hall, and from the peer tutoring services. Instructors and TAs will respond to e-mail, but it may take a few days. To receive a response, the course (Math 23) and section number must be in the subject line. Students are expected to participate in lecture and recitation, so all elec- tronic devices, books, papers, and other materials not related to MATH 23 must be packed away. Basic manners aside, common experience and some research have shown that a person working on unrelated material can distract other students and the instructor (and the person working on unrelated material, of course). The assigned sections (see Syllabus) should be read at least twice, once before and once after the corresponding lecture. Lectures will at times be a little ahead of or behind this schedule. Sections are not covered in the text's order, so it's important to pay close attention to the schedule.