Introduction to Calculus
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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.
Students have until the Thursday 9 April to determine if they wish to change down to a lower level mathematics paper (MATHS165, MATHS168, ENGEN101) without any fees loss.
This is a lecture/tutorial-based paper with five contact hours per week -- four lectures and one tutorial per week.
Lectures will be recorded.
Students who successfully complete the paper should be able to:
Understand the definition of derivative.
Differentiate elementary functions.
Apply the derivative to find maximum and minimum of functions.
Calculate the indefinite and definite integral of a function.
Apply methods of substitution and integration by parts and applications.
Use the logarithm and exponential function.
Understand limits of sequences, series and functions and be able to apply those definitions.
Apply tests for convergence.Linked to the following assessments:
The internal assessment mark will consist of TWO Tests (each worth 16%) plus the total tutorial component (18%). Tests dates and times are:
Test 1: Tuesday 7 April. 6:15 - 7:45 pm, in L.G.03
Test 2: Tuesday 26 May, 6:15 - 7:45 pm, in L.G.03
Please take your ID Card to both tests – if you do not, your test script and mark will be with-held until you present this to the SCMS Reception (G.1.21) the following day.
The D rule: An UNRESTRICTED pass (i.e. C- or better) will only be awarded to students who achieve both a final overall mark of at least 50% and an Examination mark of at least 40%.
Calculators will NOT be permitted in Tests or the Final Examination.
COPYING of other students’ Assignments/Tests will receive zero (this will include all students involved) and be reported to the Disciplinary Committee.
A final overall grade of RP (Restricted pass) will NOT be accepted as a prerequisite for entry into any higher level Maths paper.
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. 11x Assignments (best 9 out of 11 marks counted)||
|2. Test 1||
7 Apr 2020
|3. Test 2||
26 May 2020
Required and Recommended Readings*
Schaum’s Outlines ‘Calculus’ (6th Edn), Ayres & Mendelson, McGraw-Hill. (Soft cover).Assignments will be set from this textbook so you will need to purchase a copy from the bookshop at the university.
The library has calculus textbooks by various authors.
Calculus by James Stewart (Highly recommended)
Thomas’ Calculus by George B. Thomas Jr. (Highly recommended)
Calculus and analytic geometry by George B. Thomas, Jr.
Calculus with analytic geometry by G.F. Simmons
Calculus with analytic geometry by Howard Anton
Calculus: single variable by Deborah Hughes-Hallett
Calculus by Ron Larson
Calculus by Frank Morgan
Calculus I and II by Jerrold E. Marsden
A first course in calculus by Serge Lang
Calculus gems by G.F. Simmons
The cartoon guide to calculus by Larry Gonick
How to think like a mathematician by Kevin Houston
How to study as a mathematics major by Lara Alcock
How to study by Ronald Fry
How to study by Allan Mundsack et al
The secrets of college success by Lynn Jacobs and Jeremy Hyman
It is your responsibility to check your marks are entered correctly.
Linkages to Other Papers*
More calculus is taught in MATHS201 Continuing calculus, which covers multivariable and vector calculus, and in MATHS301 Real and complex analysis. Calculus is applied in MATHS203 Differential equations and modelling, MATHS304 Computational mathematics, and MATHS303 Applied mathematics.
Prerequisite papers: At least a B- grade in MATHS165, MATH165, MATHS166, MATH166, FOUND007 or CAFS004; or a pass in MATHS102 or MATH102; or 14 credits of NCEA Level 3 Calculus including at least 11 credits from AS91577, AS91578 and AS91579; or equivalent.
Restricted papers: ENGEN184, ENGEN101, ENGEN102 and MATH101