MAS102, Calculus II, Spring 2022 Syllabus Course Objectives: This course deals with generalization of the well-understood concepts of differentiation and integration to multivariable functions over the real numbers. Concrete topics include: quadratic surfaces, limits and continuity of multivariable vector-valued functions, differentiability of multivariable functions, partial derivatives, directional derivatives, tangent planes, multiple integrals, vector fields and their divergence and curl, line integrals, surface integrals, Green’s theorem, Stokes’ theorem, divergence theorem, and conservative vector fields. Prerequisites: The basic concepts of vector spaces, inner products, cross products, matrices, determinants, cylindrical coordinates and spherical coordinates, which have been introduces in Calculus I. Lecture: This course is lectured online. The lecture videos will be uploaded every Monday at the KLMS course website according to the course outline. Each of lecture videos is available for two weeks after its uploading. Instructor: Junguk Lee, ljwhayo@kaist.ac.kr. Office: E6-1, 4417A Office Hours: Tuesday and Thursday, 15:00-16:00 by appointment. Head TA: Dongha Lee, leejydh97@kaist.ac.kr Textbook: Thomas’ Calculus 13th Edition in SI Units. Evalution: Grades will be determined by the weighted total of the following. Midterm Exam: 40% Final Exam: 40% Quizzes, Recitation, Attendance, and Attitude : 20% Grading Types: A, B, C, D, F, I If you have to miss one of the exams due to an imperative reason supported in time by documentation, it can be substituted by the standardized score of the other exam. If you miss the final exam without reason, you automatically fail the course. You are reminded that this course maintains zero tolerance policy against any academic dishonesty. Any attempts of cheating will result in failing the course. Recitation class: There will be one-hour recitation class on each Friday. The detail of recitation classes will be announced at KLMS in the beginning of the semester. Academic integrity: We hope you take pride in being a KAIST student and keep a very sensitive attitude against cheating. Any dishonorable behavior will be handled seriously in the school committee. Course Outline: Week Date Section 1 2/28 - 3/4 13.1-13.3, 2.1 2 3/7 - 3/11 13.4-13.5 3 3/14 - 3/18 14.1-14.2 Quiz 1 4 3/21 - 3/25 14.3-14.4, 14.9 Quiz 2 5 3/28 - 4/1 14.5-14.6, 14.9 Quiz 3 6 4/4 - 4/8 14.7-14.8 Quiz 4 7 4/11 - 4/15 Review 8 4/18 - 4/22 Midterm exam 9 4/25 - 4/29 15.1-15.2, 15.3 10 5/2 - 5/6 11 5/9 - 5/13 16.1-16.2 12 5/16 - 5/20 16.3-16.4 Quiz 6 13 5/23 - 5/27 16.5-16.6 Quiz 7 14 5/30 - 6/3 16.7-16.8 Quiz 8 15 6/6 - 6/10 Review 16 6/13 - 6/17 Final exam No recitation Tuesday, 4/19, 13:00-15:45 15.5, 15.8, 15.4, 15.7 Quiz 5 Please check the course website at KLMS regularly. Tuesday, 6/14, 13:00-15:45