MATH 3110 CALCULUS III COURSE SYLLABUS INSTRUCTOR: OFFICE HOURS: COURSE TITLE: Calculus III PREREQUISITE: This course requires a grade of C or better in Math 1920 or its equivalent. Familiarity with graphing calculators (TI-83, 84, etc) is required. You may not use graphing calculators with symbolic manipulation software (DERIVE, MAPLE, etc.) on exams. TEXTBOOK: Calculus: Early Transcendentals, 8th edition, by James Stewart PURPOSE: This is a course on multivariable calculus and is part of the mathematics core. It is the last in a sequence of three courses designed to provide the tools necessary for continued work in more advanced mathematics, physics, and engineering. inclusive. LEARNING OUTCOMES: Upon completion of the course, the student will have developed an understanding of: 1. Vectors in the plane, vectors in three dimensions; 2. Dot and cross products; 3. Lines and curves in space; 4. Calculus of vector-valued functions, motion in space length of curves, curvature and normal vectors; 5. Planes and surfaces, Graphs and level curves; 6. Limits, continuity and chain rule of functions of several variables; 7. Partial derivatives, Directional derivatives and the Gradient; 8. Tangent planes and Linear approximation of functions several variables; 9. Maximum and minimum problems in several variables, Lagrange multipliers; 10. Double integrals over rectangular regions and general regions; 11. Double integrals in polar coordinates, Triple integrals; 12. Triple integrals in cylindrical and spherical coordinates; 13. Integrals for mass calculations, Change of variables in multiple integrals; 14. Vector fields, Line integrals; 15. Conservative vector fields, Green’s Theorem; 16. Divergence and curl, surface integrals, Stoke’s Theorem and divergence Theorem; COURSE REQUIREMENT: In order to complete this course successfully, the learner is required to: a. Attend class lectures b. Participate in class activities c. Read and study class assignments d. Solve assigned problems sets e. Successfully complete quizzes and tests f. Use technology where appropriate. CHAPTERS/SECTIONS: Chapter 12: 12.1 - 12.5 Chapter 13: 13.1 - 13.4 Chapter 14: 14.1 – 14.8 Chapter 15: 15.1 – 15.9 (15.5 optional) Chapter 16: 16.1 – 16.3 COURSE EVALUATION: Grading Scale: MATH HELP LAB: Math tutoring is available as a free service to MTSU students in KOM 204 and KOM 252. Tutoring is conducted by Graduate Teaching Assistants (GTA’s), work study aids, and a faculty moderator. Tutoring will be available with hours of operation to be determined. The lab is closed on weekends and MTSU scheduled holidays. Days and times for tutoring specific topics are posted on the bulletin board outside room KOM 252. Please sign in with your name, course and instructor when you enter the lab. Forms for comments on your tutoring experience can be found at the sign in table and turned in to the secretary in KOM 223D. KOM 252 TUTORIAL LAB SCHEDULE: Listed on Department of Mathematical Sciences webpage, at Students link PLEASE NOTE THE FOLLOWING DATES AND INFORMATION: • Last day to drop without a grade. • Last day to drop with a "W". • A grade of I will be given only in accordance with the University Policy. • If you have a disability that may require assistance or accommodation, or you have questions related to any accommodations for testing, note takers, readers, etc., please speak with me as soon as possible. Students may also contact the Office of Disabled Students Services (898-2783) with questions about such services. To retain Tennessee Education Lottery Scholarship eligibility, you must earn a cumulative TELS GPA of 2.75 after 24 and 48 attempted hours and a cumulative TELS GPA of 3.0 thereafter. You may qualify with a 2.75 cumulative GPA after 72 attempted hours (and subsequent semesters), if you are enrolled full-time and maintain a semester GPA of at least 3.0. A grade of C, D, F, or I in this class may negatively impact TELS eligibility. Dropping a class after 14 days may also impact eligibility; if you withdraw from this class and it results in an enrollment status of less than full time, you may lose eligibility for your lottery scholarship. Lottery recipients are eligible to receive the scholarship for a maximum of five years from the date of initial enrollment, or until a bachelor degree is earned. For additional Lottery rules, please refer to your Lottery Statement of Understanding form, review lottery requirements on the web at http://scholarships.web.mtsu.edu/telsconteligibility.htm, or contact the Financial Aid Office at 898-2830. Departmental Drop Policy: No grade of W will be assigned after the official drop date except in situations involving extreme extenuating circumstances beyond the student's control. In particular, a W will not be granted merely because the student is failing. Students should be aware that missing the official drop date and thereby receiving an F can have ramifications on financial aid.