| Course code | ENGG1130 |
| Course title | Multivariable Calculus for Engineers 多元微積分及其工程應用 |
| Course description | This course aims at introducing students to fundamental concepts and methods in multivariable calculus, which provide tools for solving engineering problems. Topics include functions of several variables, curves and surfaces, partial derivatives, Taylor’s formula, method of Lagrange multipliers, multiple integrals, line and surface integrals, Green’s theorem, Stokes’ theorem and divergence theorem. 本科教授多元微積分的基本概念與方法，以及其在工程上的應用。內容包括：多元函數、曲線與曲面、偏導數、泰勒公式、拉格朗日乘子法、多重積分、曲線與曲面積分、格林定理、斯托克定理和散度定理。 |
| Unit(s) | 3 |
| Course level | Undergraduate |
| Pre-requisite | MATH1510 |
| Exclusion | ENGG1410 or ESTR1004 or 1006 or MATH2010 or 2020 |
| Semester | 2 |
| Grading basis | Graded |
| Grade Descriptors | A/A-: EXCELLENT – exceptionally good performance and far exceeding expectation in all or most of the course learning outcomes; demonstration of superior understanding of the subject matter, the ability to analyze problems and apply extensive knowledge, and skillful use of concepts and materials to derive proper solutions. B+/B/B-: GOOD – good performance in all course learning outcomes and exceeding expectation in some of them; demonstration of good understanding of the subject matter and the ability to use proper concepts and materials to solve most of the problems encountered. C+/C/C-: FAIR – adequate performance and meeting expectation in all course learning outcomes; demonstration of adequate understanding of the subject matter and the ability to solve simple problems. D+/D: MARGINAL – performance barely meets the expectation in the essential course learning outcomes; demonstration of partial understanding of the subject matter and the ability to solve simple problems. F: FAILURE – performance does not meet the expectation in the essential course learning outcomes; demonstration of serious deficiencies and the need to retake the course. |
| Learning outcomes | At the conclusion of the course, students should be able to 1. demonstrate knowledge and understanding of the basic elements of multivariable calculus 2. apply results and techniques from multivariable calculus to solve simple engineering problems |
| Assessment (for reference only) |
Essay test or exam：65% Homework or assignment：25% Others：10% |
| Recommended Reading List | 1. Erwin Kreyszig, Advanced Engineering Mathematics, Wiley, 10th Edition, 2011. 2. Maurice D. Weir and Joel Hass, Thomas’ Calculus, Pearson, 12th Edition, 2010. 3. James Stewart, Calculus – Multivariable Calculus, CENGAGE Learning, 8th Edition, 2016. |
| CSCIN programme learning outcomes | Course mapping |
| Upon completion of their studies, students will be able to: | |
| 1. identify, formulate, and solve computer science problems (K/S); | |
| 2. design, implement, test, and evaluate a computer system, component, or algorithm to meet desired needs (K/S); |
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| 3. receive the broad education necessary to understand the impact of computer science solutions in a global and societal context (K/V); | |
| 4. communicate effectively (S/V); |
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| 5. succeed in research or industry related to computer science (K/S/V); | |
| 6. have solid knowledge in computer science and engineering, including programming and languages, algorithms, theory, databases, etc. (K/S); | |
| 7. integrate well into and contribute to the local society and the global community related to computer science (K/S/V); | |
| 8. practise high standard of professional ethics (V); | |
| 9. draw on and integrate knowledge from many related areas (K/S/V); |
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| Remarks: K = Knowledge outcomes; S = Skills outcomes; V = Values and attitude outcomes; T = Teach; P = Practice; M = Measured | |