EMTH119-15SU2 (C) Summer Nov 2015 start

Engineering Mathematics 1B

15 points

Details:
Start Date: Monday, 30 November 2015
End Date: Sunday, 14 February 2016
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Sunday, 13 December 2015
  • Without academic penalty (including no fee refund): Sunday, 24 January 2016

Description

A continuation of EMTH118. Topics covered include methods and Engineering applications of calculus, differential equations, and linear algebra, along with an introduction to probability. This course is a prerequisite for many courses in engineering mathematics and other subjects at 200 level.

Due to the condensed nature of this course students are expected to attend every lecture AND every tutorial, at the times specified, on the following days:

Lecture Times: Tue 9 - 10.30; Wed 11 - 12.30; Thu 12 - 1:30; Fri 9 - 10.30
Tutorial Times: Tue 11 - 12; Wed 1 - 2; Thu 2 - 3; Fri 11 – 12

The official start date for the course is 30th November 2015. In the first week we will be posting self-study material and revision units in Learn. You should study these at home to prepare for the start of on-campus lectures the following week. Tutorials follow every lecture, that is, each day there will be a tutorial with exercises to practise the material covered in that day's lecture. Lectures resume after the Christmas break in the week starting 4th January.

You must be able to make a commitment to being on-campus from 7th December to 18th December and 5th January to 5th February (inclusive), plus the exam in mid-February, before enrolling in this course.

EMTH119 consolidates concepts from EMTH118 and introduces more advanced ideas in calculus and linear algebra. It includes applications of this mathematics to applied and engineering problems.
It also incorporates some study of probability. It is a prerequisite for many courses in engineering mathematics and other subjects at the  200-level.

Topics:
Differential equations. First-order ordinary differential equations with applications.  Second-order ordinary differential equations with applications.
Sequences and mathematical induction.  Applications of differentiation to approximation.  Approximation by Taylor polynomials. Landau’s notation and order of magnitude.
Matrices and determinants.
Probability. Sets and probability. Discrete random variables. Continuous random variables.  
Expectation, mean, and variance.
Techniques and applications of integration. Integration of rational functions.
Arc length. Improper integrals.
Vector Geometry   Projections. Parallel and intersecting planes.  Intersection and distance problems.

Learning Outcomes

  • Students who have succeeded in this course will be able to
  • use calculus, algebra or probability to
      - evaluate integrals arising in mathematics and engineering
      - solve first and second order differential equations
      - find Taylor approximations to functions
      - calculate mean and variance of random variables and solve probability problems arising in engineering applications
      - calculate determinants, eigenvalues and eigenvectors
      - investigate the geometry of multivariable functions and classify critical points
  • demonstrate understanding of the mathematical topics in the course by
      - giving definitions of fundamental concepts
      - competent manipulation of functions, matrices, random variables and complex numbers
      - choosing effective solution techniques for given problems
      - verifying correctness of mathematical calculations
  • describe and interpret the meaning of mathematical solutions to engineering problems (particularly differential equations and random variables)
  • synthesise material from different sections of course (for example, using integration techniques and limit evaluation to solve differential equation or probability problems)

Prerequisites

MATH102, MATH108 or EMTH118

Restrictions

MATH103, MATH109, MATH199

Course Coordinator / Lecturer

Irene David

Lecturer

Phillipa Gourdie

Textbooks / Resources

Recommended reading:
Anton, Howard., Bivens, Irl., Davis, Stephen; Calculus: Early Transcendentals; 10th edition; Wiley (8th or 9th edition also suitable).

Indicative Fees

Domestic fee $874.00

International fee $4,725.00

* All fees are inclusive of NZ GST or any equivalent overseas tax, and do not include any programme level discount or additional course-related expenses.

For further information see Mathematics and Statistics .

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