Calculus for Engineers
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To be advised
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To give students in mathematics, or in subjects that use mathematical methods, a comprehensive foundation in differential and integral calculus, and examples of its applications.
This paper will be taught from Monday 11 November to Friday 20 December.
4 lectures, one whole-of-class tutorial/problem class.
Students who successfully complete the course should be able to:
Describe what a function is/does. Be able to draw its graph.
State the definition of the derivative and give physical/geometrical interpretations of it.
Know how to use basic rules of differentiation (eg, sum, product, quotient, chain) to differentiate functions.
Apply differentiation to determine the maximum and minimum of functions, including in engineering applications.
Be able to calculate Taylor series for simple functions.
Calculate indefinite and definite integrals of simple functions.
Be able to integrate using the methods of substitution, integration by parts, and partial fractions. Be able to recognise which technique to use.
Use integration to help setup and solve engineering applications and problems.
Know and use properties of the logarithm and exponential functions, particularly in solving engineering-based problems.
Solve problems involving first-order separable differential equations.Linked to the following assessments:
There will be Four assignments worth 2.5% each, a total of 10% of the overall mark.
|Assignment 1||Monday 18 November (2.5%)|
|Assignment 2||Monday 25 November (2.5%)|
|Assignment 3||Monday 2 December (2.5%)|
|Assignment 4||Monday 9 December (2.5%)|
Your completed assignment should be submitted in the allocated hand-in box next to the G block third-floor lift. Please ensure you write your full name, ID number on your assignments.
Assignments must be submitted by 3 pm SHARP on MONDAYS. Any time after the 3 pm deadline will be considered LATE – these assignments may be graded but receive ZERO marks.
There will be two ninety-minute TESTS, worth a total of 40% of the overall mark.
|Test 1||Monday 25 November 1:00-3:00 pm (20%)|
|Test 2||Monday 9 December 1:00-3:00 pm (20%)|
COPYING of test/assignments will receive ZERO (which includes all students involved) and will be reported to the Disciplinary Committee.
There will also be a THREE-hour Final Test, worth a total of 50% of the overall mark.
|Final Test||Tuesday 17 December 10:00-1:00pm|
A FINAL overall unrestricted pass (ie.C- or better) in this paper will only be awarded to students who achieve BOTH a FINAL TEST mark of at least 40% AND a FINAL OVERALL mark of at least 50%.
A restricted pass (RP) will NOT be accepted as a pre-requisite for entry into any further Mathematics papers.
CALCULATORS will NOT be permitted in Test or the Final TEST.
Please take your ID Card to test – if you do not, your test script and mark will be with-held until you present this to the Maths & Stats Reception (G.3.19) the following day.
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. 4x Assignments||
|2. Test 1||
25 Nov 2019
|3. Test 2||
9 Dec 2019
|4. Final Test||
17 Dec 2019
Required and Recommended Readings*
Engineering Mathematics, K. A. Stroud (with Dexter J. Booth), 7th Edition, Industrial Press, Inc
Assignments and readings will be set from this textbook so you will need to purchase a copy. Bennetts Bookshop at the University will have copies, Amazon, etc may be a cheaper option.
"Modern Engineering Mathematics", Glyn James.
"Engineering Mathematics:, Kreyszig, etc
It is your responsibility to check your marks are correctly entered.
Contact hours: 4 lectures and one tutorial per week.
PLUS, you are expected to spend about another 10 hours per week doing work for the paper (reading, assignments, study,...).
In particular, you are expected to read the sections of Stroud covered each week BEFORE that week's lectures.
Linkages to Other Papers*
Prerequisite papers: At least a B- grade in MATHS165, MATH165, MATHS166, MATH166, CAFS004 or FOUND007; or a pass in MATHS102, MATH102, ENGEN183 or ENGG183; or 16 credits of NCEA Level 3 Calculus including at least 11 credits from AS91577, AS91578 and AS91579; or equivalent.
Restricted papers: MATH101, MATHS101 and ENGG184