Lectures: 11:30 a.m. to 12:45 p.m. (Monday & Thursday) E11-1028
First 4 weeks of lecture online via ZOOM
| Passcode | 534491 |
| Join link | https://umac.zoom.us/j/93687684875?pwd=MWV2K3M5WUt2aldnWlpnRzZDbW5Hdz09 |
Tutorial: 4:00 p.m. to 4:50 p.m. (Friday) E11-1021
Instructor
Dr. Li Luo
Email: liluo@um.edu.mo
Office: E11-3048 Office Time: 11:00 a.m. – 12:00 p.m. (Tuesday & Friday)
Office Tel. No.: 8822 4290
Teaching Assistant
Mr. Tianhao Ma
Email: yc17444@um.edu.mo
Course Note
Course note 1 (Differentiation of multivariable)
Coordinating Unit: | Department of Mathematics, Faculty of Science and Technology | ||
Supporting Unit(s): | Nil | ||
Course Code: | MATH 2000 | Year of Study: | 2 |
Course Title: | Engineering Mathematics I | ||
Compulsory/Elective: | Compulsory | ||
Course Prerequisites: | GEST 1004 Quantitative Reasoning for Science and Technology | ||
Prerequisite Knowledge: | Differential and integral calculus for functions of one variable | ||
Duration: | One semester | Credit Units: | 3 |
Class/Laboratory Schedule: | 3 hours of lecture and 1 hour of tutorial per week. | ||
Laboratory/Software Usage: | N/A | ||
Course Description: | Functions of two or more variables and their derivatives. Local/global extrema. Multiple integrals. Vector fields. Line integrals. Surface integrals. | ||
Course Objectives: | 1. Understand the fundamental theories of multivariable calculus. 2. Be able to formulate and solve problems using partial derivatives. 3. Be able to formulate and solve problems using multiple integrals. | ||
Learning Outcomes (LOs): | Upon completion of this course, students are expected to: 1. be able to compute partial derivatives; 2. be able to calculate double, triple and line integrals; 3. understand basic concepts of the conservative field and potential functions. | ||
Texts & References: (* recommended textbook(s)) | 1. Calculus Early Transcendentals, 7th edition, by C. H. Edwards and D. E. Penney, Prentice Hall * 2. Calculus and analytical geometry, 10th ed. Thomas and Finney, Addison Wesley. | ||
Student Assessment: | · Homework: 10%; · Midterm examination: 30% · Final examination: 60% | ||
|
Grading System:
The credit is earned by the achievement of a grade from ‘A’ to ‘D’; ‘F’ carries zero credit.
Grades are awarded according to the following system:
| Letter Grades |
| Grade Points |
| Percentage |
| A |
| 4.0 (Excellent) |
| 93-100 |
| A- |
| 3.7 (Very good) |
| 88-92 |
| B+ |
| 3.3 |
| 83-87 |
| B |
| 3.0 (Good) |
| 78-82 |
| B- |
| 2.7 |
| 73-77 |
| C+ |
| 2.3 |
| 68-72 |
| C |
| 2.0 (Average) |
| 63-67 |
| C- |
| 1.7 |
| 58-62 |
| D+ |
| 1.3 |
| 53-57 |
| D |
| 1.0 (Pass) |
| 50-52 |
| F |
| 0 (Fail) |
| Below 50 |
Format of the Tests and Final Examinations
Students are not allowed to use textbook or lecture notes during Tests/Final Examinations. That is, close book examinations.
It may consist of multiple choice questions, short/long questions. Finding solutions/solving simple problems as well as proofs may be required.
(It may be changed according to the arrangements to deal with covid-19 pandemic)
Discipline Requirement:
Usual university requirement (Cheating in any form will NOT be tolerated.
General Comment:
All students are expected to attend all lectures, tutorials, quizzes, tests and final examination. In order to be successful in this course, students should get as much practice as possible in solving problems outside the class hours. This must be done on a timely and regular basis, as a good understanding of the material covered in any particular section of this course depends heavily on an equally good understanding of the material covered in previous sections.
Homework Policy:
All homework must be an individual effort unless specifically noted. Your work must be neat, with answers clearly noted and supporting information provided. Late homework will not be accepted in general.
Requirement:
Pager, mobile phone or other communication tools will NOT be allowed to use during the time periods for lectures, tutorials, quizzes/tests and final examination.
Student Disabilities Support Service:
The University of Macau is committed to providing an equal opportunity in education to persons with disabilities. If you are a student with a physical, visual, hearing, speech, learning or psychological impairment(s) which substantially limit your learning and/or activities of daily living, please communicate with your instructors about your impairment(s) and contact Disability Support Services in Student Affairs Office (SAO) immediately, which Student Affairs Office colleague helps coordinate and provide appropriate resources and accommodations to allow each student with a disability to have an equal opportunity in education, university life activities and services at the University of Macau. To learn more about the service, please contact Student Counselling Section in SAO at sao.disability@umac.mo, or 8822 4901 or visit the following website: http://www.umac.mo/sao.