MATHS201-19B (HAM)

Continuing Calculus

15 Points

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


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Paper Description

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These papers extend the one–variable calculus from MATHS101 Introduction to Calculus to the calculus of functions of more than one variable. Many of the topics covered provide a synthesis of calculus and geometry (from MATHS102). The mathematics studied is of fundamental and equal importance to engineers and non-engineers. Therefore, MATHS201 and ENGEN201 are substantially the same, and share the same classroom during the first 8 weeks. During the last 4 weeks, MATHS201 moves to different time slots and classrooms (and taught by Yuri Litvinenko), and will cover more theoretical material, and the Gamma and Beta functions.

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Paper Structure

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Five contact hours per week -- 3 lectures, 1 workshop and 1 tutorial.
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Learning Outcomes

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Students who successfully complete the course 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.

    Linked to the following assessments:
  • Last 4 weeks:

    7. Compute surface integrals.

    8. Use Stokes' Theorem and Gauss' Theorem.

    9. Use Gamma and Beta functions.

    10. Use Squeeze Theorem to prove that a limit exists.

    Linked to the following assessments:
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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.

A workshop grade worth 5%

  • There will be 8 workshops and the best 6 marks will be counted.
  • The best 6 out of 8 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 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.
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Assessment Components

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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. 10 weekly assignments (best 8 of 10 count)
2. Best 6 of 8 workshop assessments
3. Test 1 (Tuesday 13 August, 6:15-8pm)
4. Test 2 (Tuesday 24 September, 6:15-8pm)
5. Exam
Assessment Total:     100    
Failing to complete a compulsory assessment component of a paper will result in an IC grade
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Required and Recommended Readings

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Recommended Readings

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(available in the University Library)

Calculus by James Stewart. (Highly recommended)

Thomas’ Calculus by George B. Thomas Jr. et al. (Highly recommended)

Schaum's Outline of Calculus by Frank Ayres Jr. and Elliot Mendelson. (from MATHS101)

Calculus with analytic geometry by G.F. Simmons.

Calculus gems by G.F. Simmons.

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Other Resources

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

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Online Support

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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.

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10-12 hours per week, including 5 contact hours.
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Linkages to Other Papers

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This paper is a prerequisite for MATHS301 Real and Complex Analysis, MATHS331 Methods in Applied Mathematics, and most 500-level applied mathematics papers.
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Prerequisite papers: At least one of MATH101 or MATHS101 and MATH102 or MATHS102.




Restricted papers: MATH251, ENGG285, ENGEN201

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