MATH 2326, Fal MATH 2326 CALCULUS III. Section 002 TuTh 9:30am-10:50pm in PKH 309

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1 MATH 2326, Fal Instructor Information MATH 2326 CALCULUS III Section 002 TuTh 9:30am-10:50pm in PKH 309 Instructor. Prof. Ren-Cang Li, 445 PKH, (817) , rcli@uta.edu Office Hours. TuTh or by appointment Class Home Page. http.// 2 Course Information Prerequisites. C or better in MATH 2425 Soo T. Tan, Calculus, Early Transcendentals, Custom Edition for University of Texas Arling- Text. ton. Chapter 11, Sections Chapter 10, Section 10.6 Chapter 12, Sections Chapter 13, Sections Chapter 10, Section 10.7 Chapter 13, Sections 13.7, 13.8 Chapter 14, Sections , The course will progress in the order listed. Course Content. Vector functions and motion in space, functions of two or more variables and their partial derivatives, applications of partial derivatives (including Lagrange multipliers), multiple integration (including Jacobian), line integrals, Greens Theorem, vector analysis, surface integrals, and Stokes Theorem. Expected Learning Outcomes. Upon completion of Math 2326, 1. Students will be able to use the concepts of continuity, differentiation, and integration of vectorvalued functions to determine unit tangent and unit normal vectors in the process of modeling objects in three dimensions. Students will be able to parameterize piecewise-smooth curves using arc length. They will be able to compute the curvature of a space curve.

2 MATH 2326, Fal Students will be able to compute and sketch level curves and level surfaces for functions of several variables and sketch the graphs of functions of two variables. Analyzing limits, determining continuity, and computing partial derivatives of multivariate functions is also expected. Students will be able to use tangent planes, directional derivatives, gradients, the second partial test, and Lagrange multipliers to approximate and solve optimization problems. 3. Students will be able to demonstrate techniques of multiple integration and compute iterated integrals over rectangular regions, non-rectangular regions, and in other coordinate systems. They will be able to apply multiple integrals in problem situations involving area, volume, surface area, center of mass, moments of inertia, etc. 4. Students will be able to compute line integrals and surface integrals by applying The Fundamental Theorem for line integrals, Green s theorem, Stoke s Theorem and the Divergence Theorem. Applying these integrals to solve applications such as mass and work problems is also expected. 3 Student Evaluation Expectations. Between lectures, you are expected to review your notes, go through the appropriate section(s) in the book, understand all relevant examples in the book, and attempt all homework problems assigned for the section. It is anticipated that a student passing this course with a C will spend at least 12 hours each week on Math 2326 outside the classroom. You are expected to be on time for all class meetings. You must use a pencil on all exams, and a scantron. You are expected to review all quizzes, homework assignments, textbook reading notes, class lecture notes, and assigned reviews before taking a midterm exam. Homework. There is an assignment sheet at the end of this syllabus. However, I reserve the right to assign extra homework if necessary. Quizzes. There will be 12 short closed book, equally weighted quizzes on Tuesdays in the weeks when no exams take place. Your quiz grade will be the sum of your best 10 quiz scores. Midterm Exams. All midterm exams are comprehensive. The format of each midterm will be approximately half multiple-choice credit and half show-your-work credit. You are required to bring a UTA picture ID and scantron (882-E) to all midterm exams. Final Exam. The final exam is departmental and comprehensive. The format of the final exam will be approximately half multiple-choice credit and half show-your-work credit. You are required to bring a UTA picture ID and scantron (882-E) to the final exam. Component Date Points quizzes Tuesdays 20 Midterm 1 Sep. 29, Thursday (in class) 25 Midterm 2 Nov. 03, Thursday (in class) 25 Final exam Dec. 10, Saturday (departmental) 30 Total Points Possible. 100

3 MATH 2326, Fal Grading Scale. As a rule, examinations will be designed to achieve grades on the standard scale. Grade Point range A B C D F 0-59 This scale will be used to convert final numerical scores to letter grades. Make-up Policy. There is no makeup for a missed quiz. Acceptable reasons for missing an exam include official university activities, the presence of a documented serious illness, accident, or a death in your immediate social network. In the event of a university activity you will be required to contact me before the Census Date to schedule an early exam. In the event of an emergency you will need to provide documentation that can be immediately validated. Delays in submitting a make-up request may mean that your request cannot be approved. Drop Policy. Any student who drops the course on or before the Drop Date will receive a W. Students must contact an advisor in their major in order to drop a course. Students must contact an advisor in their major in order to drop a course. Attendance. Attendance is required. You are responsible for any and all announcements made in class. You are responsible for any material missed during class. Calculator. The only calculators allowed for quizzes, midterms, and final without permission are TI-30XA and TI-30XIIS. But If you wish to use a different calculator, then you must get permission to do so BEFORE an exam and/or quiz. Only nonprogrammable calculators with basic computational features, such as arithmetic and transcendental functions will be allowed. Calculators with the following features are NOT allowed. graphing, equation solving, differentiation and integration. Any device that has internet or capabilities this includes cell phones - and any device with a QWERTY keyboard are also not permitted. Picture ID. You may be asked to present a UTA picture ID at any exam and quiz. Please bring your UTA picture ID to all exams and quizzes. 4 Student Information . You should have an activated MyMav account and check it regularly during the semester. You are responsible for all the information I will be sending out to your MyMav account and the announcements I make on my Web Page. It is to this official address that the University will send communications. Students are expected to check their official account on a frequent and consistent basis to stay current with University communications. The University recommends checking daily in recognition that certain communications may be time-critical.

4 MATH 2326, Fal Student Support Services Available. The University of Texas at Arlington provides a variety of resources and programs designed to help students develop academic skills, deal with personal situations, and better understand concepts and information related to their courses. These resources include tutoring, major-based learning centers, developmental education, advising and mentoring, personal counseling, and federally funded programs. For individualized referrals to resources for any reason, students may contact the Maverick Resource Hotline at or visit for more information. http : // Americans with Disabilities Act. The University of Texas at Arlington is on record as being committed to both the spirit and letter of federal equal opportunity legislation; reference Public Law The Rehabilitation Act of 1973 as amended. With the passage of new federal legislation entitled Americans with Disabilities Act (ADA), pursuant to section 504 of the Rehabilitation Act, there is renewed focus on providing this population with the same opportunities enjoyed by all citizens. As a faculty member, I am required by law to provide reasonable accommodation to students with disabilities, so as not to discriminate on the basis of that disability. Student responsibility primarily rests with informing faculty at the beginning of the semester and in providing authorized documentation through designated administrative channels. If you require an accommodation based on disability, I would like to meet with you in the privacy of my office, during the first week of the semester, to make sure you are appropriately accommodated. Academic Dishonesty. It is the philosophy of The University of Texas at Arlington that academic dishonesty is a completely unacceptable mode of conduct and will not be tolerated in any form. All persons involved in academic dishonesty will be disciplined in accordance with University regulations and procedures. Discipline may include suspension or expulsion from the University. Scholastic dishonesty includes but is not limited to cheating, plagiarism, collusion, the submission for credit of any work or materials that are attributable in whole or in part to another person, taking an examination for another person, any act designed to give unfair advantage to a student or the attempt to commit such acts. (Regents Rules and Regulations, Part One, Chapter IV, Section 3, Subsection 3.2, Subdivision 3.22) Grade Replacement and Grade Exclusion Policies. the University catalog and can also be found online at These policies are described in detail in http : // The deadline for filing a grade replacement request is the Census Date. Student Disruption. The University reserves the right to impose disciplinary action for an infraction of University policies. For example, engagement in conduct, alone or with others, intended to obstruct, disrupt, or interfere with, or which in fact obstructs, disrupts, or interferes with, any function or activity sponsored, authorized by or participated in by the University. Drop for Non-Payment of Tuition. If you are dropped from this class for non-payment of tuition, you may secure an Enrollment Loan through the Bursars Office.

5 MATH 2326, Fal Important Dates Aug. 25 Sep. 05 Sep. 12 Sep. 29 Nov. 03 Nov. 04 Nov Dec. 09 Dec. 10 First day of class Labor Day Holiday Census Date Deadline for makeup exam requests Thursday, Midterm 1 (in class) Thursday, Midterm 2 (in class) Last day to drop Thanksgiving Holidays Last day of class Saturday, Final Exam (departmental) 6 Homework Assignment Vector-Valued Functions and Space Curves. 2, 6, 9, 11, 12, 13, 16, 21, 25, 33, 35, 36, 38, 40, 41, 43, 45, 46, 53, Differentiation and Integration of Vector-Valued Functions. 3, 6, 7, 11, 14, 17, 20, 22, 25, 30, 33, 39, 49, Arc Length and Curvature. 3, 7, 11, 12, 14, 16, 19, 25, 27, 30, 33, 34, 35, 36, Surfaces in Space. 2, 3, 4, 9, 13-20, 22, 30, 39, 47, 49, Functions of Two or More Variables. 2, 3, 5, 7, 8, 13, 15, 16, 24, 26, 27, 33, 34, 35, 36, 37, 38, 43, 44, 46, 51, 53, 54, 57, 58, 59, 60, 61, Limits and Continuity. 2, 5, 8, 11, 14, 15, 21, 27, 28, 32, 34, 35, Partial Derivatives. 1, 10, 17, 23, 30, 33, 35, 42, 43, 53, 61, Di.erentials. 1, 5, 8, 23, 25, 31, 33, The Chain Rule. 5, 7, 10, 13, 22, 25, 27, 30, 35, 41, 43, Directional Derivatives and Gradient Vectors. 3, 7, 13, 16, 22, 32, 35, 37, 53, Tangent Planes and Normal Lines. 3, 6, 11, 12, 22, 32, 33, Extrema of Functions of Two Variables. 4, 7, 15, 22, 33, 35, 41, 45, Lagrange Multipliers. 1, 6, 10, 11, 15, 17, 19, 24, 32, Double Integrals. 1, 3, 7, 13, 16, 19, Iterated Integrals. 2, 5, 10, 13, 16, 22, 27, 31, 35, 38, 51, 54, 59, Double Integrals in Polar Coordinates. 9, 12, 15, 19, 24, 29, 37, Applications of Double Integrals. 3, 9, 13, 25, Surface Area. 3, 6, 9, 11, 14, Triple Double. 6, 9, 12, 13, 19, 27, 30, 44, 51, 57

6 MATH 2326, Fal Cylindrical and Spherical Coordinates. 3, 11, 14, 22, 28, 36, 37, 43, 48, 53, 61, 64, Triple Integrals in Cylindrical and Spherical Coordinates. 3, 5, 11, 13, 16, 23, 26, 31, 32, 38, 40, 41, Change of Variables in Multiple Integrals. 3, 4, 7, 10, 12, 13, 15, 18, 23, 26, 27, Vector Fields. 1, 2, 3, 4, 5, 6, 8, 9, 14, 19, 21, 22, 27, 30, Divergence and Curl. 5, 10, 13, 14, 15, 19, 20, 27, Line Integrals. 3, 6, 7, 11, 18, 21, 25, 29, 30, Independence of Path and Conservative Vector Fields. 3, 7, 11, 14, 17, 20, 21, 23, 26, 27, 31, 33, 37, Greens Theorem. 2, 3, 7, 12, 15, 18, 28, Surface Integrals. 5, 7, 10, 15, 17, 21, 25, 28, The Divergence Theorem. 3, 5, 8, 10, 17, Stokes Theorem. 3, 5, 9, 11, 14, 17, 24 Information is subject to change, please keep yourself informed!

Class meetings: Time: Monday & Wednesday 7:00 PM to 8:20 PM Place: TCC NTAB 2222

Class meetings: Time: Monday & Wednesday 7:00 PM to 8:20 PM Place: TCC NTAB 2222 Organizational Behavior MANA 3318-012 Fall 2010 Instructor: Mr. A. Moses, M.S. Office: Room 604, College of Business Administration Tel no: 817-272-3851 Email id: amoses@uta.edu Home Page: http://management.uta.edu/aaron/main.htm