## 15 Points

Division of Health Engineering Computing & Science
School of Computing and Mathematical Sciences
Department of Mathematics and Statistics

### Staff

Edit Staff Content

#### Tutor(s)

: alista.fow@waikato.ac.nz

#### Librarian(s)

: cheryl.ward@waikato.ac.nz

You can contact staff by:

• Calling +64 7 838 4466 select option 1, then enter the extension.
• Extensions starting with 4, 5, 9 or 3 can also be direct dialled:
• For extensions starting with 4: dial +64 7 838 extension.
• For extensions starting with 5: dial +64 7 858 extension.
• For extensions starting with 9: dial +64 7 837 extension.
• For extensions starting with 3: dial +64 7 2620 + the last 3 digits of the extension e.g. 3123 = +64 7 262 0123.
Edit Staff Content

### Paper Description

Edit Paper Description Content

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.

Edit Paper Description Content

### Paper Structure

Edit Paper Structure Content

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.

Edit Paper Structure Content

### Learning Outcomes

Edit Learning Outcomes Content

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.

• Last 4 weeks:

7. Solve ordinary differential equations.

8. Use Laplace transform to solve ordinary differential equations.

Edit Learning Outcomes Content
Edit Learning Outcomes Content

### Assessment

Edit Assessments Content

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.

• 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.

#### Assessment Components

Edit Assessments Content

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.

Component DescriptionDue Date TimePercentage of overall markSubmission MethodCompulsory
1. Assignments (best 8 of 10)
15
• Hand-in: Assignment Box
2. Workshop multiple-choice quizzes (best 8 of 10)
5
• Hand-in: In Workshop
3. Test 1 (Wednesday 7 April, 6:15-7:15pm)
7 Apr 2021
6:00 PM
15
4. Test 2 (Monday 17 May, 6:15-7:15pm)
17 May 2021
6:00 PM
15
5. Exam
50
 Assessment Total: 100
Failing to complete a compulsory assessment component of a paper will result in an IC grade
Edit Assessments Content

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.

#### Other Resources

Edit Other Resources Content

LECTURE NOTES

A PDF of these notes will be posted on Moodle - not available from Campus Printery.

Edit Other Resources Content

### Online Support

Edit Online Support Content

NOTICES, MOODLE AND RETURN OF ASSESSED WORK

Edit Online Support Content

10-12 hours per week.

Over the semester:

Lectures: 36 hours

Tutorials: 10 hours

Workshops: 10 hours

Total contact hours: 56 hours

Assignments: 20 hours

Tests preparation: 20 hours

Exam preparation: 18 hours

Total non-contact hours: 94 hours

Total hours: 150 hours

This paper is a prerequisite for ENGEN301, and a co-requisite for ENGEE211.

#### Prerequisite(s)

Prerequisite papers: ENGEN102 or ENGEN184 or ENGG184 or MATH101

#### Restriction(s)

Restricted papers: ENGG284 or ENGG285 or MATH251 or MATH255 or MATHS201 or MATHS203