MATH 1502, Calculus II, COURSE SYLLABUS Welcome to Calculus II! This course is designed for you to explore fundamental concepts of infinite series and introductory linear algebra. All of our students play an important role in our educational mission, and we hope that you will find this to be a useful, fundamental course for your future studies. Instructor Information Instructor: Dr. Greg Mayer E-mail: greg.mayer@gatech.edu Cell: 404-621-6464 Office Phone: 404-894-4397 On Campus Office Hours: Tue and Wed 9:30-10:30 am, room Skiles 116; or by appointment Online Office Hours: https://georgiatech.adobeconnect.com/math1502fall2015officehours, times to be determined Course Websites Course Information: t-square.gatech.edu (required) Textbook/Homework Access: http://www.mymathlab.com (required) On-line Discussions: www.piazza.com (highly recommended) Quiz Review Sessions: https://georgiatech.adobeconnect.com/math1502fall2015officehours Textbooks Thomas, Calculus: Early Transcendentals, 13 th edition. Select topics in chapters 4, 8, 9, and 10. Lay, Algebra and Its Applications, 5 th edition. Select topics in chapters 1 through 7. Course Learning Objectives At the conclusion of Calculus II, it is expected that students will be able to do the following. Classify differential equations as either separable or linear and solve them Determine whether an infinite series converges and approximate functions with infinite series Solve systems of linear equations and eigenvalue problems, and analyze your results in terms of existence, uniqueness, and parameterization of solutions Apply calculus and linear algebra concepts to real-world problems in areas such as least-squares, physics, and numerical approximation Compose logical progressions of precise statements to justify your reasoning and communicate your mathematical solutions Lectures: MWF from 8:05-8:55 am Recitations: Tuesdays and Thursdays from 8:05-8:55 am Course Meeting Times and Locations On Campus Undergraduate Students attend lectures in Klaus 2447. Off Campus High School Students should work with their facilitator(s) to connect to lectures and recitations.
Teaching Assistants, Office Hours, and Meeting Locations TA office hours will be announced during recitation. Sections TA Email Address B1, QH5 Eric Sabo esabo@gatech.edu B2, B3, QH6 Rohan Ghanta ghanta.gatech@gmail.com B4, QH7 Ben DeMario bdemario3@gatech.edu QH8 Kamania Ray kamaniaray@gatech.edu Student, Teaching Assistant, and Instructor Expectations Students are required to attend all scheduled sessions at all times. As your instructor, my role is to facilitate the lectures, coordinate with the teaching assistants to link lecture material to recitation material, provide you with assignments and assessments to gauge your understanding and knowledge of the subject matter, provide feedback on your performance, and be available for assistance when needed. Teaching assistants are responsible for facilitating recitation sessions, identifying learning activities for them, holding office hours, and marking. TAs will expect that you have attended lecture and reviewed the textbook before recitation. As students, you are expected to take your responsibility seriously, attend class, behave in a respectful manner to both your instructor and fellow students at each class meeting, complete all assignments in a timely and professional manner, study the subject matter outside of class time, and ask for help when necessary. For on campus students, the Center for Academic Success will also provide our class with a PLUS ("Peer Led Undergraduate Study") leader. PLUS sessions will also meet twice per week. These sessions are optional, but strongly encouraged. Course Requirements and Grading HOMEWORK: Homework will be assigned on-line and will consist of exercise problems on MyMathLab. You are expected to understand all homework problems for the tests and quizzes. In order to increase the effectiveness of recitation, you should attempt the problems before recitation sessions. Students who are unable to submit their homework before it is due may contact their instructor to ask for an extension. There may be homework due the final week of class. QUIZZES: We will have four 50-minute quizzes during the term. Quizzes last for the entire recitation period. Tentatively, quizzes will be administered on the following days and cover the following sections. Quiz 1: Thursday, September 10. Covers everything up to and including Section 10.6 (Thomas) Quiz 2: Thursday, October 01. Covers everything up to and including Section 12.5 (Thomas) Quiz 3: Thursday, October 22. Covers everything up to and including Section 1.9 (Lay) Quiz 4: Thursday, November 12. Covers everything up to and including Section 5.2 (Lay) The above dates and sections are subject to change. Calculators are allowed but no books, notes, or cell phones, or calculators capable of connection to the Internet are allowed during quizzes. Students in Dr. Morley s and Dr. Mayer s Calculus II classes will receive the same quizzes. FINAL EXAM: The final exam will cover all course materials. On campus students will write their exam on Monday December 7, 2015. Students in Dr. Morley s and Dr. Mayer s Calculus II classes will receive the same final exam, but due to logistics, the local and distance final exams may differ. Final Grade Weightings Your final average will be computed as follows: 10% Homework, 60% Quizzes, 5% Pop quizzes, 25% Final Exam.
Letter grades will be determined based on the following intervals: A: 90% and higher, B: [80%, 90%), C: [70%, 80%), D: [60%, 70%), F: [0%, 60%). Students should not expect any changes to the above. Although the final exam and quizzes in Dr. Mayer s and Dr. Morley s courses are identical, HW pop quizzes and other assessments (if any) may differ. Midterm grades will be assigned on September 26. A satisfactory grade will be assigned to all students with a midterm average of 70% or higher (based on the above weighting of grades). Important Dates Throughout the Term 08 17 15 First Day of Classes 08 18 15 First Recitation 09 07 15 Labor Day (No Class) 09 25 15 Progress Reports Due 10 10-13 15 Fall Recess (no lectures/recitations) 10 25 15 Last day to withdraw with a grade of "W" 11 25-27 15 Class Break (no class, campus open) 12 04 15 Last Day of Classes 12 07-11 15 Final Exam week The Academic Calendar http://www.registrar.gatech.edu/calendar/ has further details for campus wide dates. Class Policies Attendance: In the event of an absence, you are responsible for all missed materials, assignments, and any additional announcements or schedule changes given in class. Class disruptions of ANY kind will NOT be tolerated and may result in your removal from the classroom. Please show courtesy to your fellow classmates and instructor by adhering to the following class rules: Turn off all laptops, cellular phones, i-pods and other electronic devices, unless you have a documented need to use such devices for note-taking, during class. Come to class on time and stay for the entire class period. Refrain from conversing with your fellow students. Put away any reading materials unrelated to the course. Academic Dishonesty: All students are expected to comply with the Georgia Tech Honor Code (the honor code can be found at http://www.policylibrary.gatech.edu/student-affairs/code-conduct). Any evidence of cheating or other violations of the Georgia Tech Honor Code will be submitted directly to the Dean of Students. Cheating includes, but is not limited to: Using an unapproved calculator, books, or any form of notes on tests. Copying directly from any source, including friends, classmates, tutors, Internet sources (including Wolfram Alpha), or a solutions manual. Allowing another person to copy your work. Taking a test or quiz in someone else's name, or having someone else take a test or quiz in your name. Asking for a regrade of a paper that has been altered from its original form. Using someone else s clicker to gain attendance points or to take quizzes or tests for them, or asking someone else to use your clicker for any graded or attendance submission. Regrading of Papers: If a problem on your quiz has been graded in error, you must email your instructor. Should you wish to have your quiz regraded, do not change or add to the work on your paper! A regrade request can only be
submitted if you have done something CORRECT on your test that has been marked as incorrect. You MUST check your answers with the solutions BEFORE submitting such a request. Make-Ups: In an emergency situation, I may allow a make-up quiz if I am provided with a reasonable, confirmation of your absence. If you will miss a quiz due to a university-sponsored event or athletics, please provide me with the official documentation in advance. Students with Disabilities and/or in need of Special Accommodations: Georgia Tech complies with the regulations of the Americans with Disabilities Act of 1990 and offers accommodations to students with disabilities. If you are in need of classroom or testing accommodations, please make an appointment with the ADAPTS office to discuss the appropriate procedures. More information is available on their website, http://www.adapts.gatech.edu. Announcements: I will frequently update T-Square with class information and materials. You are responsible for obtaining any announcements or materials placed on T-square (t-square.gatech.edu). Though not required, it is also to your advantage to join our class page on Piazza (www.piazza.com) so you can view/participate in course-related discussions. Please note: items on the syllabus and course schedule are subject to change. Any changes to the syllabus and/or course schedule will be relayed to the students in class and through e-mail.
Tentative Course Schedule Please use this as an approximate class schedule; section coverage may change depending on the flow of the course. Textbook code: (T) Thomas, (L) Lay. Week Dates Textbook Sections Topics Quizzes 01 Aug 17 21 (T) Section 8.7 (T) Section 8.8 (T) Section 7.2 02 Aug 24 28 (T) Section 9.2 (T) Section 10.1 (T) Section 10.2 03 Aug 31 Sep 4 (T) Section 10.3 (T) Section 10.4 (T) Section 10.5 04 Sep 7 11 (T) Section 10.6 (T) Section 10.7 05 Sep 14 18 (T) Section 10.8 (T) Section 10.9 (T) Section 4.5 06 Sep 21 25 (T) Section 12.3 (T) Section 12.4 (T) Section 12.5 07 Sep 28 Oct 2 (L) Sections 1.3 (L) Sections 2.1 (L) Section 1.1 Numerical Integration Improper Integrals Separable Differential Equations First-Order Linear Differential Equations Sequences Infinite Series Integral Test Comparison Test Ratio and Root Tests Alternating Series Power Series Taylor and MacLaurin Series Convergence of Taylor Series L Hopital s Rule Dot Products Cross Products Lines and Planes Vector Equations Matrix Operations Systems of Linear Equations 08 Oct 5 9 (L) Sections 1.2-1.5 Gauss-Jordan Elimination 09 Oct 12 16 (L) Sections 1.7-1.9 Linear Independence Linear Transformations 10 Oct 19 23 (L) Sections 2.2, 2.3 (L) Section 2.5 11 Oct 26 30 (L) Section 2.8 (L) Section 2.9 (L) Sections 3.1, 3.2 12 Nov 2 6 (L) Section 4.3 (L) Sections 5.1, 5.2 13 Nov 9 13 (L) Section 5.3 (L) Section 6.1 (L) Section 6.2 14 Nov 16 20 (L) Section 6.3 (L) Section 6.4 15 Nov 23 27 (L) Section 6.5 (L) Sections 7.1, 7.2 Inverses LU Factorization Subspaces of R n Dimension and Rank Determinants Vector Spaces Eigenvalues and Eigenvectors Quiz 1 Quiz 2 Quiz 3 Diagonalization Quiz 4 Gram-Schmidt QR Factorization Least-Squares Symmetric Matrices 16 Nov 30 Dec 4 Review for Final Exam