Syllabus for Math 251-501, 502, 504 Engineering Math III Spring 2019 Schedule: Section 501, Tues & Thurs 9:35-10:50 Blocker 166 Section 502, Tues & Thurs 11:10 12:25 Blocker 166 Section 504, Tues & Thurs 2:20-3:35 Heldenfels 105 Office: Blocker 243 B Office hours Mon & Wed 1pm -3 pm Other times by appointment Office hours are for you to ask any questions or come and work problems and ask as questions come up. webpage: www.math.tamu.edu/~jlewis/math 251 page.html All course notes and materials are on my Math 251 page, not on ecampus. Only grades are posted in ecampus. email: jlewis@math.tamu.edu Course description: Vector algebra, calculus of functions of several variables, partial derivatives, directional derivatives, gradient, multiple integration, line and surface integrals, Green's and Stokes' theorems, Divergence Theorem Math 152 or equivalent is the prerequisite for this course. Text: Stewart, Calculus: Early Transcendentals You have a copy of this book in your webassign homework page which was purchased with your fees. Course Objectives: Visualize 3-dimensional graphs Extend calculus principles to functions of two or three variables. Evaluate limits, extreme values of functions, derivatives and integrals of functions of two variables. Apply vector calculus theorems to line and surface integrals and relate to engineering problems. Homework: Homework on cengage webassign is required. To access the homework you must pay a fee within two weeks of the the start of the semester. You have free access for the first two weeks. Always use the address www.math.tamu.edu/courses/ehomework and login with your net ID.
Your grade: There will be 3 quizzes and or projects. A project done in class as group work using notes. A quiz is done privately with no notes and done in class. You will have three major exams as shown in the weekly schedule below. You also have online homework on webassign. Your grade will be assigned according to the total out of 600 points as follows: Homework 60 Quizzes & Projects 90 Exam I 100 Exam II 100 Exam III 100 Final Exam 150 Total 600 540-600=A, 480-539 = B, 420-479=C, 360-419 = D, 0-359 = F If the percentage on the final is higher than the percentage on your lowest exam score, then it will replace that exam score when your overall total is computed. You are strongly advised to do the suggested problems listed on my webpage as webassign is not enough practice for exams or quizzes. Tentative exam dates: Exam I Thurs Feb 7, Exam II Thurs March 7, Exam III Tues April 11 Quizzes are tentatively the Thursday of the week before an exam week. They will be announced in class and in your tamu email. Check your tamu email every day as information about the course will sometimes be emailed to you Final Exam Schedule Section 501 Thur May 2 12:30 pm-2:30 pm Section 502 Thurs May 2 3pm -5pm Section 504 Tues May 7 1pm-3pm You may take the final with any section if you email me so I can be sure there are enough seats. Make-ups: If you are ill before an exam, quiz or when an assignment is due, contact me within 24 hours to arrange a make-up exam or turn in time. Do not come with fever. Help Sessions will be scheduled soon. Help Session is a place for you to work problems. Someone very familiar with Math 251 will be there to answer questions and help with problems. Religious Holidays: Please let me know of any approved religious holidays which you observe. Academic Integrity Statement: "An Aggie does not lie, cheat or steal or tolerate those who do." Please see the Honor Council Rules and Procedures on the web at http://www.tamu.edu/aggiehonor.
Students with Disabilities: The American with disabilities Act (ADA) is a federal anti-discrimination statute that provides comprehensive civil rights protection for persons with disabilities. Among other things, this legislation requires that all students with disabilities be guaranteed a learning environment that provides for reasonable accommodation of their disabilities. If you believe you have a disability requiring an accommodation, please contact the Department of Student Life, Services for Students with Disabilities, in Room 126 of the Koldus Building or call 845-1637. Copyright Information Please note that all written and web materials for this course have an implied copyright. In particular, you can Xerox (or download) for your own use, but you may not reproduce them for others. The tentative weekly schedule follows.
Math 251 Suggested Weekl y S hedul e Weekly Schedule Week 1 Course introduction Three dimensional coordinate systems (12.1) Vectors (12.2) The dot product (12.3) The cross product (12.4) Week 2 Equations of lines and planes (12.5) Cylinders and quadric surfaces (12.6) Vector functions and space curves (13.1) Week 3 Derivatives and integrals of vector-functions (13.2) Arc length, curvature, torsion (13.3) Motion in space: displacement, velocity, and acceleration (13.4) Week 4 Functions of several variables (14.1) Limits and continuity ( briefly ) (14.2)
Partial derivatives (14.3) Exam 1 (covers through Section 13.4) Week 5 Tangent planes and Linear Approximation (14.4) The chain rule (14.5) Directional derivatives and the gradient vector (14.6) Week 6 Maximum and minimum values (14.7) Lagrange multipliers (14.8) Week 7 Double integral over rectangles (15.1) Double integral over general regions (15.2) Double integrals in polar coordinates (15.3) 1 Week 8 Applications of double integrals (15.4) Exam 2 (covers through Section 15.3) Week 9 Triple integrals (15.6) Triple integrals in cylindrical coordinates (including ap plications of triple integral)(15.7) Triple integrals in spherical coordinates (15.8) Week 10
Note: Thanksgi ving falls on this week in the fall. Note: Instr u tors shoul d b e war y of redened days in week 15 and adj ust their over age of topi s a ordingl y. Note: Last week of lass has redened days. See imp ortant Dates for more details. Change of Variables in Multiple Integrals, Jacobians (15.9 ) Vector fields (16.1) Line integrals (16.2) Week 11 Curl and divergence (16.5) Fundamental theorem of line integrals (16.3) Green s theorem (16.4) Week 12 Parametric surfaces and their area (15.5, 16.6) Surface integrals (16.7) Exam 3 (covers through Section 16.2 and Section 16.5) Week 13 Continue 16.7 Week 14 Stokes Theorem (16.8) The Divergence Theorem (16.9) Week 15 Continue 16.9 Review for final. 2