Engineering Maths and Modelling 2
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The first two-thirds of ENGEN201 teaches multi-variable calculus and vector calculus, extending the one-variable calculus from ENGEN102.
The last third teaches ordinary differential equations and Laplace transform.
This is a lecture/tutorial-based paper with five contact hours per week -- 3 lectures, 1 workshop and 1 tutorial. Lectures will be delivered live, and will be recorded and posted on Moodle.
The way this paper is run may change if COVID alert level goes up.
Students who successfully complete the paper should be able to:
First 8 weeks:
1. Compute the tangent line, arc length and work integrals over a parametrized curve.
2. Calculate the gradient vector of a multivariable function, and apply the chain rule.
3. Calculate the Taylor expansion of a multivariable function.
4. Solve unconstrained and equality constrained optimization problems in up to three variables.
5. Compute multivariable integrals (in Cartesian and polar coordinates).
6. Use integration to compute volumes and moments of solid bodies.Linked to the following assessments:
Last 4 weeks:
7. Solve ordinary differential equations.
8. Use Laplace transform to solve ordinary differential equations.Linked to the following assessments:
The assessment mark will consist of :
TWO Tests each worth 15% for a total of 30%
- Test dates: Test 1 on Wednesday 7 April. Test 2 on Monday 17 May. Time: 6:15-7:15pm. Rooms: L.G.01, L.G.02, L.G.03.
- If a test is missed due to illness or other good reason, the lecturer must be notified as soon as practicable. Appropriate documentation (for example a medical certificate issued by a doctor) must be supplied.
A workshop grade worth 5%
- There will be 10 workshops and the best 8 marks will be counted.
- The best (n-2) policy is intended to allow students to miss one or two workshops due to illness or other good reason without requiring us to process medical certificates. Where serious illness may cause a more prolonged absence, please consult the lecturer.
A assignment component of 15%
- There will be 10 tutorial based assignments of which only the best 8 marks will be counted. Assignments should be your own work and copying may lead to referral to the university disciplinary committee.
- The best (n-2) policy is intended to allow students to miss one or two assignments due to illness or other good reason without requiring us to process medical certificates. Where serious illness may cause a more prolonged absence, please consult the lecturer.
The external exam worth 50%
- The "D" rule: The requirements for an unrestricted pass (C- or better) are a minimum overall mark of 50% for the whole paper and a minimum mark of 40% for the exam.
- Exam will be held during one of the two exam weeks (14-25 June), to be scheduled centrally by the university.
The internal assessment/exam ratio (as stated in the University Calendar) is 50:50. There is no final exam. The final exam makes up 50% of the overall mark.
The internal assessment/exam ratio (as stated in the University Calendar) is 50:50 or 0:0, whichever is more favourable for the student. The final exam makes up either 50% or 0% of the overall mark.
Error: Assessment components must add up to 100%
At least one Assessment Component needs to be entered
|Component Description||Due Date||Time||Percentage of overall mark||Submission Method||Compulsory|
|1. Assignments (best 8 of 10)||
|2. Workshop multiple-choice quizzes (best 8 of 10)||
|3. Test 1 (Wednesday 7 April, 6:15-7:15pm)||
7 Apr 2021
|4. Test 2 (Monday 17 May, 6:15-7:15pm)||
17 May 2021
Required and Recommended Readings*
Engineering Mathematics, K. A. Stroud (with Dexter Booth), 7th Edition. You should already own this textbook, which was used in first year.
Advanced Engineering Mathematics, K. A. Stroud (with Dexter Booth), 5th Edition. This textbook will also be used for ENGEN301.
A PDF of these notes will be posted on Moodle - not available from Campus Printery.
NOTICES, MOODLE AND RETURN OF ASSESSED WORK
All notices about this paper, as well as your internal assessment marks, will be posted on Moodle. Such notices are deemed to be official notifications. Please check frequently for any updates.
It is your responsibility to check your marks are entered correctly.
10-12 hours per week.
Over the semester:
Lectures: 36 hours
Tutorials: 10 hours
Workshops: 10 hours
Total contact hours: 56 hours
Reading: 36 hours
Assignments: 20 hours
Tests preparation: 20 hours
Exam preparation: 18 hours
Total non-contact hours: 94 hours
Total hours: 150 hours
Linkages to Other Papers*
Prerequisite papers: ENGEN102 or ENGEN184 or ENGG184 or MATH101
Restricted papers: ENGG284 or ENGG285 or MATH251 or MATH255 or MATHS201 or MATHS203