ECU Web Unit Outline
 
FACULTY OF HEALTH, ENGINEERING AND SCIENCE
SCHOOL OF ENGINEERING
Full Unit Outline - Enrolment Approved Wednesday, 9 November 2011
Disclaimer
This unit outline may be updated and amended immediately prior to semester. To ensure you have the correct outline, please check it again at the beginning of semester.
 
UNIT TITLE Elementary Calculus
UNIT CODE MAT1136
CREDIT POINTS 15
FULL YEAR UNIT No
PRE-REQUISITES TEE Applicable Mathematics or equivalent
MODE OF DELIVERY On-campus
DESCRIPTION

This unit deals with mathematical modelling using functions and graphs, and also concepts, techniques and applications of both differential and integral calculus.

 
LEARNING OUTCOMES

On completion of this unit students should be able to:


  1. demonstrate an understanding of the concepts of limit, continuity, differentiation, and integration;
  2. demonstrate a proficiency in some of the techniques of differentiation and integration;
  3. apply the techniques of calculus to solve optimisation problems, and to calculate areas and volumes;
  4. communicate in written form their understanding of calculus concepts and their solutions to problems involving the application of calculus techniques;
  5. effectively use graphics calculators as an aid in the solution of calculus problems.
 
UNIT CONTENT
  1. Polynomial, rational, piecewise and absolute value functions; exponential and logarithm functions; inverse functions.
  2. Radian measure and circular (trigonometric) functions.
  3. Definition of derivative and integral; informal treatment of limits; continuity; Intermediate Value Theorem.
  4. Rules for differentiation; implicit differentiation; graphs and derivatives of polynomial, rational, circular, exponential and logarithm functions.
  5. Applications of differentiation: optimisation problems; rectilinear motion; related rates; Newton-Raphson method; local linearisation; error estimation.
  6. Antidifferentiation and the fundamental theorems; integration by substitution (change of variable).
  7. Applications of integration: rectilinear motion; exponential growth and decay; area between two curves; volumes of solids of revolution.
  8. Rolle's Theorem; Mean Value Theorem for differentiation.
 
TEACHING AND LEARNING PROCESSES
  1. Three 1-hour lectures and one 1-hour workshop each week.

  2. Use will be made of graphics calculators where appropriate.
 
GRADUATE ATTRIBUTES

The following graduate attributes will be developed in this unit

  • Ability to communicate
  • Critical appraisal skills
  • Ability to generate ideas 
 
ASSESSMENT
Grading Schema 1
 
Students please note: The marks and grades received by students on assessments may be subject to further moderation. All marks and grades are to be considered provisional until endorsed by the relevant Board of Examiners.
 

Item

On-Campus Assessment

Value

  

Assignment

Assignment

20%

Assignment

Test 1

10%

Assignment

Test 2

10%

Assignment

Test 3

10%

Examination

Final Examination

50%

 
TEXTS
Stewart, J. (2003), Calculus. (5th ed. I.S.E.). Melbourne: Thompson/Brooks Cole.
 
SIGNIFICANT REFERENCES
Anton, H., Bivens, I. and Davis, S. (2005). Calculus. (8th ed.). New York: Wiley.
Callahan, J. and Hoffman, K. (1995). Calculus in context. New York: W. H. Freeman.
Edwards, C. and Penny, D. (1994). Calculus and analytic geometry. (4th ed.). Upper Saddle River NJ: Prentice-Hall.
Ellis, R. and Gulick, D. (1994), Calculus with analytic geometry. (5th ed.). Fort Worth: Saunders College Publishers.
Finney, R. and Thomas, G. (1990). Calculus. Reading MA: Addison-Wesley.
Grossman, S. (1992). Calculus. (5th ed.). Fort Worth: Saunders College Publishers.
Hughes-Hallett, D., et.al. (2005). Calculus: Single and Multivariable. (4th ed.). New York: Wiley.
Larson, R., Hostetler, R. and Edwards, B. (2006). Calculus. (8th ed.). New York: Houghton Mifflin.
Stein, S. and Barcellos, A. (1992). Calculus with analytic geometry, (5th ed.). New York: McGraw-Hill.
Trim , D. (1993). Calculus. Englewood Cliffs, NJ: Prentice Hall.
Varberg, D et al (2000). Calculus. (8th ed.). Englewood Cliffs, NJ: Prentice Hall.
 
 
 
Disability Standards for Education (Commonwealth 2005)
For the purposes of considering a request for Reasonable Adjustments under the Disability Standards for Education (Commonwealth 2005), inherent requirements for this subject are articulated in the Unit Description, Learning Outcomes, Graduate Attributes and Assessment Requirements of this entry. The University is dedicated to provide support to those with special requirements. Further details on the support for students with disabilities or medical conditions can be found at the Student Equity, Diversity and Disability Service website:
http://intranet.ecu.edu.au/student/support/student-equity
 
 


Academic Misconduct


Edith Cowan University has firm rules governing academic misconduct and there are substantial penalties that can be applied to students who are found in breach of these rules. Academic misconduct includes, but is not limited to:

  • plagiarism;
  • unauthorised collaboration;
  • cheating in examinations;
  • theft of other students’ work.

Additionally, any material submitted for assessment purposes must be work that has not been submitted previously, by any person, for any other unit at ECU or elsewhere.


The ECU rules and policies governing all academic activities, including misconduct, can be accessed through the ECU website.
ECU Web Unit Outline