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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.
3 Exams There will be two common exams and a final exam. • First common exam - Thursday, February 24 - Locations will be posted on the main Coursesite when available* • Second common exam - Thursday, April 14 - Locations will be posted on the main Coursesite when available* • Final exam - date, time, and location to be set by the Registrar and will be posted on the main Coursesite when available* * Locations and times will also be available on the Registrar's homepage. If you are aware of a conflict with an exam, please inform your instructor as soon as possible. Make-up exams will require a note from a doctor or a dean, and make-up finals are given according to university policy. Homework Graded weekly assignments There will be regular graded HW assignments, assigned on a weekly basis and posted on the main Coursesite. These will be due via the section specific Coursesite on Tuesday of the following week at 11 pm Eastern Standard Time. Answer Keys will be published the next day (Wednesday) on the main Coursesite. Late HW will not be accepted. Each HW will consist of approximate 18-20 problems - about six problems per covered book section - and you will be required to turn in the solutions to all of the assigned problems. However, only five problems will be graded - but you will not know in advance which ones. The graded problems will be graded on a 0, 1, 2 scale. So, each HW assignment is out of 10 points. There will be 15 HWs in total HW 0 - Hw 14. HW 0 is not graded but its submission is required in short order to insure that all are comfortable with the submission protocols. HW 14 will also not be graded. This leaves 13 graded HWs. In part to compensate for illness, bad luck, etc., the lowest three homework scores of HW1 - HW 13 will be dropped. Students may discuss the homework with other students, but must write their solutions individually. Copying of hand-written, typed, or on-line solutions is not allowed under any circumstances and will be re- ported as plagiarism. (More information about academic integrity can be found at www.lehigh.edu/~indost/conduct/aiforstudents.shtml .) Students are ad- vised not to upload solutions (for either tests or homeworks) to any internet site. Quizzes There will be weekly quizzes in recitation, except for the first, last, and exam weeks. The lowest two quizzes will be dropped. ÷
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