EMTH119-13S2 (C) Semester Two 2013

Engineering Mathematics 1B

15 points
08 Jul 2013 - 10 Nov 2013

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.

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

to provide the necessary mathematical concepts and techniques required in engineering subjects

  • to consolidate and extend the ideas and techniques the concepts of calculus and linear algebra and their applications
  • to increase understanding of the mathematical foundations of the topics studied
  • to practice the application of mathematical concepts and techniques to understanding and solving problems
  • to introduce computer software used to solve mathematical problems

Pre-requisites

MATH102, MATH108 or EMTH118

Restrictions

MATH103, MATH109, MATH199

Lectures
Streams Day Time Where Notes
Stream 01 Monday , Tuesday , Wednesday , Thursday 8:00am-9:00am A1 Lecture Theatre 23 Sep - 13 Oct
or Stream 02 Monday 4:00pm-5:00pm C1 Lecture Theatre 23 Sep - 13 Oct
Tuesday 12:00pm-1:00pm A1 Lecture Theatre 23 Sep - 13 Oct
Wednesday 3:00pm-4:00pm A2 Lecture Theatre 23 Sep - 13 Oct
Thursday 11:00am-12:00pm A1 Lecture Theatre 23 Sep - 13 Oct

Tutorials
Streams Day Time Where Notes
Stream 01 Monday 11:00am-12:00pm Erskine 445 15 Jul - 18 Aug,
2 Sep - 13 Oct
Stream 02 Wednesday 2:00pm-3:00pm Erskine 445 15 Jul - 18 Aug,
2 Sep - 13 Oct
Stream 03 Monday 10:00am-11:00am Erskine 445 15 Jul - 18 Aug,
2 Sep - 13 Oct
Stream 04 Wednesday 12:00pm-1:00pm Erskine 445 15 Jul - 18 Aug,
2 Sep - 13 Oct
Stream 05 Wednesday 1:00pm-2:00pm Erskine 445 29 Jul - 18 Aug,
2 Sep - 13 Oct
1:00pm-2:00pm Rutherford 431 15 Jul - 28 Jul
Stream 06 Tuesday 1:00pm-2:00pm Erskine 445 15 Jul - 18 Aug,
2 Sep - 13 Oct
Stream 07 Monday 1:00pm-2:00pm Erskine 445 15 Jul - 18 Aug,
2 Sep - 13 Oct
Stream 08 Tuesday 11:00am-12:00pm Erskine 111 15 Jul - 18 Aug,
2 Sep - 13 Oct
Stream 09 Tuesday 3:00pm-4:00pm Erskine 111 15 Jul - 18 Aug,
2 Sep - 13 Oct
Stream 10 Tuesday 2:00pm-3:00pm Erskine 445 15 Jul - 18 Aug,
2 Sep - 13 Oct
Stream 11 Monday 12:00pm-1:00pm Erskine 446 15 Jul - 18 Aug,
2 Sep - 13 Oct
Stream 12 Tuesday 10:00am-11:00am Erskine 446 15 Jul - 18 Aug,
2 Sep - 13 Oct

Course Coordinator

Rick Beatson

Assessment

Assessment Due Date Percentage 
Tutorials 10%
MapleTA Modules 10%
Mid-Course Test 30%
Final Examination 50%

Examination and Formal Tests

Textbooks

Required Texts

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

Indicative Fees

Domestic fee $808.00

International fee $4,550.00

* Fees include New Zealand GST and do not include any programme level discount or additional course related expenses.

For further information see Mathematics and Statistics.

All EMTH119 Occurrences