Math 251 (Section 502) Course Syllabus Fall 2018

Size: px

Start display at page:

Download "Math 251 (Section 502) Course Syllabus Fall 2018"

Florence Jasmin Houston
5 years ago
Views:

1 Math 251 (Section 502) Course Syllabus Fall 2018 Instructor: Office/Hours: Website: Dr Nordine Mir QENG 317C on UTR 9 10am or by appointment people.qatar.tamu.edu/nordine.mir/math251.html Class and Exam Time/Locations: Section 502 Days Time Room Lecture UTR 11:00 11:50 am QENG 209 Exam Dates and Sections: Exams : Text Sections Date/Location Midterm Exam 1 (M1) Sep. 26 th - LH238 Midterm Exam 2 (M2) Midterm Exam 3 (M3) Final Exam (F) Oct. 24 th - LH238 Nov. 28 th - 7pm@ LH238 Required Text: Calculus Early Vectors 1e. by Stewart, Brooks/Cole Graphing Calculator: TI-nspire CAS Catalog Title and Description: (CREDIT 3.0) Calculus III. Engineering Calculus III. The course will cover vector calcululus, calculus of functions of several variables, partial derivatives, directional derivatives, gradient, multiple integration, line integrals, Stokes theorems. Prerequisite: MATH 152 or equivalent. Policies: 1. Attendance: Come to every class and be on time. You are responsible for finding out what you miss. There will be announced and pop quizzes during the class. There is no make-up for any missed quiz. See the make-up policy below for making up missed midterms (a medical excuse is required). 2. Online Homework : Homework will be assigned online on the Webassign system for each section and will be due regularly. You may use scratch paper, calculators etc.. on the online homework. The deadlines are programmed into the computer system, so submitting your homework well before the deadline is recommended. If you submit your homework late, the computer will automatically give you a zero for the assignment and not record your answers. You are responsible for remembering to do the homework. 3. Suggested homework : A list of suggested homework problems will be posted on the course web page. These problems will not be collected for a grade. You are strongly recommended to do all of them which will provide a valuable practice for the quizzes and exams.

2 4. Grading: Grades will not be curved, nor will extra credit be awarded. There will be no personal assignments or exams at any time during the semester, in particular after the final exam. Your final grade will be calculated by taking your best score among the following two combinations: C1=[WH 5%, Q 10%, M1 20%, M2 20%, M3 20%, F 25%] C2=[WH 5%, Q 10%, Average of best two midterms 40%, F 45%] Your letter grade will follow the following rule: A=90-100%, B=80-89%, C=70-79%, D=60-69%, F<60% Note: Do WebAssign as daily study for each midterm. There will be quizzes during the class to assess your learning prior to each midterm. If you get high WA scores but low quiz and/or midterm scores, then it is quite apparent that you didn t master the material from doing the homework, and that you: (a) need to see me for a study skills tune up immediately and (b) do your homework independently, without a calculator and for learning, not for points. 5. How this course works: This course is a combination of online learning (e-learning) and face-toface learning (f2f-learning). Students will have to read the sections of the book to be taught in class before the class, will take notes and record their questions at home and then discuss questions, solve problems and be assessed in class. Note: You are responsible for remembering your own due dates. Math 251 students are expected to have mastered all aspects of calculus and differential calculus. The expectation is that students with weak backgrounds will fill in any gaps outside of class. Of course, you will have my assistance, direction and resources. Bring all materials (notes, laptops and TI-nspire calculators) to all lectures. 6. Seek help: Ask questions every day. Come to office hours with questions prepared in advance: Please do not attend to your mobile during office hours. Keep it on silent and out of sight. Do not come empty-handed to office hours nor ask me to open the WA question or lecture notes or textbook for you. Bring a list of issues you want clarified in a small notebook or on a post-it, etc. Have a hard copy (not on the laptop) of the WebAssign or assignment question you wish to ask, along with all the working out you have done on the question so far. 7. Mobile Phones: Keep mobile phones on silent or turned off, and kept out of sight during class. Do not engage in any mobile phone function out of respect for the instructor as well as the learning environment for your peers and yourself.

3 8. and Website: Check your university account and the announcements page of my website EVERY day. You are responsible for all information sent via or posted on my site. 9. Make-Up Policy: No make-ups will be given without written evidence of an official University excused absence. (See University Student Rules.) According to Section 7.3 of the University Student Rules, for an absence to be considered excused, the student must notify his or her instructor in writing (acknowledged message is acceptable) prior to the date of absence if such notification is feasible. In cases where advance notification is not feasible (e.g. accident or emergency) the student must provide notification by the end of the second working day after the absence. This notification should include an explanation of why notice could not be sent prior to the class. If no such notice is given, the rights to a make-up are forfeited. In addition (and also in accordance with University Student Rules), a written excuse must be presented upon return to class. Specifically, in the case of illness or injury, students are required to obtain a confirmation note from a health care professional affirming date and time of a medical office visit regarding the illness or injury. 10. Scholastic Dishonesty: You are encouraged to work together on the suggested homework problems, but do not copy another student s work on any graded assignment. Copying work done by others, either in or out of class, is an act of scholastic dishonesty and will be prosecuted to the full extent allowed by University policy. Always abide by the Aggie Code of Honor: An Aggie does not lie, cheat, or steal or tolerate those who do. Please refer to Honor Council Rules and Procedures at for more information on academic integrity and scholastic dishonesty. 11. Copyright Policy: All printed materials including (but not limited to) handouts, quizzes, exams, and information found on the web are protected by copyright laws. One copy (or download from the web) is allowed for personal use. The sale of any of these materials is strictly prohibited and will be prosecuted to the full extent of the law. 12. ADA Policy Statement: The Americans 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 Affairs Counseling & Wellness Program or call or at dsa@qatar.tamu.edu.

4 13. Tentative Weekly Schedule Week 1: 02/09 - Course introduction - Three dimensional coordinate systems - Vectors - The dot and cross product Week 2: 09/09 - Equations of lines and planes - Cylinders and quadric surfaces - Vector functions and space curves Week 3: 16/09 - Derivatives and integrals of vector-functions - Arc length, curvature, torsion - Motion in space: displacement, velocity and acceleration Week 4: 23/09 - Functions of several variables - Limits and continuity (briefly) - Partial derivatives - Midterm 1 Week 5: 30/09 - Tangent planes and linear approximation - The chain rule - Directional derivatives and the gradient vector Week 6: 07/10 - Maximum and minimum values - Lagrange multipliers Week 7: 14/10 (only two lectures due to reading days) - Double integral over rectangles - Double integral over general regions Week 8: 21/10 - Double integral in polar coordinates - Applications of double integrals - Midterm 2 Week 9: 28/10 - Applications of double integrals - Triple integrals - Triple integrals in cylindrical coordinates (including applications of triple integrals)

5 Week 10: 04/11 - Triple integrals in spherical coordinates - Change of variables in multiple integrals, Jacobians - Vector fields Week 11: 11/11 - Line integrals - Curl and divergence - Fundamental theorem of line integrals Week 12: 18/11 - Green s theorem - Parametric surfaces and their area - Surface integrals Week 13: 25/11 - Surface integrals - Stokes s theorem - Midterm 3 Week 14: 02/12 - Stokes theorem - The divergence theorem Week 15: 09/12 (only one lecture) - Review for final or catch-up.

6 Required or Elective: Required Course ABET for Math 251 Engineering Mathematics III Course Description: (3-0). Credit 3. Vector algebra, calculus of functions of several variables, partial derivatives, directional derivatives, gradient, multiple integration, line and surface integrals, Green s and Stokes theorems Course Prerequisites: Math 152 or equivalent. Textbooks: Calculus with Early Vectors, James Stewart, Cengage Learning Course Learning Goals/Objectives: By the end of this course, students should be able to: 1. Perform vector operations, calculate equations of lines, planes, and visualize graphs of surfaces and level curves in three dimensions. 2. Use the Matlab software to plot vector fields. 3. Evaluate partial derivatives, directional derivatives and the gradient, and apply the chain rule for functions of several variables, and understand the physical meaning of the gradient. 4. Be able to perform multiple integrals, change order of integration. Learn about surface parameterization and how to perform line and surface integrals. Learn Stokes theorem and the divergence theorem and some of their applications. Course Topic Outline: Topics Week 3D vector, vector algebra, lines, planes 1 Quadratic surfaces, vector functions and space curves, arclength 2 Motion in the space, functions of several variables, limits, continuity, partial derivatives, Tangent planes 3 Differential, chaine rule, directional derivatives, gradients 4 Max and min problem, Lagrange multipliers 5 Double integral, iterated integrals 6 Double integrals over general regions, polar coordinates, integrals in polar coordinates 7 Applications of double and triple integrals, cylindrical and spherical coordinates 8 Integrals in cylindrical and spherical coordinates and changes of variables in multiple Integrals, vector fields 9 Line integrals, Fundamental theorem for line integrals 10 Green s theorem, Curl and divergence, parametric equations of surfaces 11 Surface area, surface integral 12 Stokes theorem 13

7 Divergence theorem 14 Weekly Schedule: 3 X 50 minute lectures Method of Evaluation: Assessment Percentage Assignments 5% Quizzes 10% Midterm Exams 60% Cumulative Final Examination 25% Estimated ABET Category Content: Mathematics, 3 Credits Contributions to Professional Component: Math 251 directly addresses ABET Criteria 3 3(a). Math 251 provides the knowledge to apply a variety of mathematical techniques to solve applied mathematics and engineering problems with emphasis on functions of several variables. Relationship to Program Outcomes: Learning Objective Assessment Method ABET 3D vectors, dot and cross product, lines and planes; quadric surfaces, vector functions and space curves, arc length, motion in space; functions of several variables, limits and continuity, partial derivatives, tangent planes, differentials; chain rule, directional derivatives, gradients, max/min problems; Lagrange multipliers Double integrals, iterated integrals, double integrals over general regions. Polar coordinates, applications of double integrals and triple integrals. Cylindrical and spherical coordinates, integrals in cylindrical and spherical coordinates, change of variables in multiple integrals. Vector fields, line integrals, fundamental theorem for line integrals,, Green s theorem Curl and divergence, parametric surfaces and their areas. Surface integrals, Stokes and divergence theorems. Assignments, Quizzes, Midterm 1, Final Exam Assignments, Quizzes, Midterm 2, Final Exam Assignments, Quizzes, Final Exam 3a 3a 3a

SOUTHWEST COLLEGE Department of Mathematics

SOUTHWEST COLLEGE Department of Mathematics COURSE SYLLABUS MATH 2415: CALCULUS III (DISTANCE EDUCATION) SPRING 2015 / SS TERM / CRN 48306 / FEBRUARY 14 MAY 17/ INSTRUCTOR: Dr. Jaime L. Hernández CONTACT