Engineering Mathematics 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 fully online, lecture/tutorial-based paper. It uses pre-recorded lectures and tutorials from the 20B trimester. There are also weekly online quizzes on Moodle, which should be done before submitting the corresponding assignment. The lecturer will hold weekly office hour on Zoom.
Students who successfully complete the course should be able to:
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:
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 take-home Tests each worth 30% for a total of 60%
- Test dates: Test 1 on Tuesday 5 January 2021. Test 2 on Monday 15 February 2021.
A quiz grade worth 10%
- There will be 11 online quizzes and the best 10 marks will be counted.
A tutorial component of 30%
- There will be 11 tutorial based assignments of which only the best 10 marks will be counted. Assignments should be your own work and copying may lead to referral to the university disciplinary committee.
The internal assessment/exam ratio (as stated in the University Calendar) is 100:0. There is no final exam. The final exam makes up 0% of the overall mark.
The internal assessment/exam ratio (as stated in the University Calendar) is 100:0 or 0:0, whichever is more favourable for the student. The final exam makes up either 0% 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 10 of 11)||
|2. Moodle multiple-choice quizzes (best 10 of 11)||
|3. Take-home Test 1||
5 Jan 2021
No set time
|4. Take-home Test 2||
15 Feb 2021
No set time
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:
Online lectures: 36 hours
Tutorials: 11 hours
Quizzes: 11 hours
Reading: 36 hours
Assignments: 22 hours
Tests preparation: 34 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