Calculus for Engineers
Ajit Pal Singh
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To give students in engineering, or in subjects that use mathematical methods, a comprehensive foundation in differential and integral calculus, and examples of its applications.
Students who successfully complete the course should be able to:
Describe what a function is/does. Be able to draw it's 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:
The assessment mark will consist of :
TWO Tests each worth 15% for a total of 30%
- test dates: see table below
- 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. Should the reason be accepted an estimated grade for the missed work will be used. The estimated grade will be based on results in other assessments including the final examination and on the distribution of grades in the missed assessment.
In class ifat quiz worth 5%
- There will be 12 quizzes and the best 10 marks will be counted.
- The best 10 out of 12 policy is intended to allow students to miss one or two ifat quiz 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 tutorial 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 8 out of 10 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 FINAL EXAM worth 50%.
- In order to pass this paper with an unrestricted grade (Grade C- or better) you must get an overall total of 50% or greater, and ALSO at least 40% in the final exam. If your overall grade is greater than 50% but you get less than 40% in the final examination you will be awarded the grade of RP(restricted pass) which cannot be used as a prerequisite.
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. 10 weekly assignments (the best 8 of the 10 count)||
|2. Best 10 of 12 quiz assessments||
|3. Test 1: Thursday 8 August 9-10 am. TCBD.2.08||
|4. Test 2: Thursday 26 September 9-10 am. TCBD.2.08||
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.
Not really recommended texts, but you may like to look at alternative presentation of the same material.
"Modern Engineering Mathematics", Glyn James.
"Engineering Mathematics:, Kreyszig, etc
The Moodle page for this paper is the main forum for notices and information about the course. The gradebook for this paper can be accessed through Moodle. It is your responsibility to check your marks are correctly entered.
Panopto (which records lectures for viewing online) has proved controversial across the University as it seems to result in a significant decline in attendance at lectures and poor pass rates. In A semester we will be employing a new approach to the use of this tool. The lectures will be recorded, however to encourage attendance they will NOT be generally available on Moodle. Students who have missed lectures for good reason (for example due to illness or a clash) may ask the lecturer for access to recordings of the specific lectures that they have missed. Recordings of lectures will however be made generally available at the end of the semester in the study period before examinations.
Contact hours: 4 lectures and 1 tutorial per week.
PLUS, you are expected to spend about another five 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.
It is in your best interest to take the 10 hours/week seriously.
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