EMTH119-20SU2 (C) Summer Nov 2020 start

Engineering Mathematics 1B

15 points

Details:
Start Date: Monday, 30 November 2020
End Date: Sunday, 7 February 2021
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Friday, 11 December 2020
  • Without academic penalty (including no fee refund): Friday, 15 January 2021

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.

EMTH119-20SU2 is not available for online study. You must be able to make a commitment to being on-campus for the whole course and exam 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)

Pre-requisites

Restrictions

MATH103, MATH109, MATH199

Timetable 2021

Students must attend one activity from each section.

Lecture A
Activity Day Time Location Weeks
01 Tuesday 09:00 - 11:00 Meremere 108 Lecture Theatre
4 Jan - 31 Jan
Lecture B
Activity Day Time Location Weeks
01 Wednesday 13:00 - 15:00 Meremere 108 Lecture Theatre
4 Jan - 31 Jan
Lecture C
Activity Day Time Location Weeks
01 Thursday 13:00 - 15:00 Meremere 108 Lecture Theatre
4 Jan - 31 Jan
Lecture D
Activity Day Time Location Weeks
01 Friday 09:00 - 11:00 Meremere 108 Lecture Theatre
4 Jan - 24 Jan
Drop in Class A
Activity Day Time Location Weeks
01 Tuesday 10:00 - 12:00 Jack Erskine 443
1 Feb - 7 Feb
Drop in Class B
Activity Day Time Location Weeks
01 Wednesday 10:00 - 12:00 Jack Erskine 443
1 Feb - 7 Feb
Drop in Class C
Activity Day Time Location Weeks
01 Thursday 10:00 - 12:00 Jack Erskine 315
1 Feb - 7 Feb
Tutorial A
Activity Day Time Location Weeks
01 Tuesday 11:00 - 12:00 Jack Erskine 111
4 Jan - 31 Jan
02 Tuesday 11:00 - 12:00 Jack Erskine 101
4 Jan - 31 Jan
03 Tuesday 11:00 - 12:00 Jack Erskine 121
4 Jan - 31 Jan
04 Tuesday 11:00 - 12:00 Jack Erskine 445
4 Jan - 31 Jan
05 Tuesday 11:00 - 12:00 Jack Erskine 340
4 Jan - 31 Jan
06 Tuesday 11:00 - 12:00 Jack Erskine 446
4 Jan - 31 Jan
Tutorial B
Activity Day Time Location Weeks
01 Wednesday 15:00 - 16:00 Jack Erskine 111
4 Jan - 31 Jan
02 Wednesday 15:00 - 16:00 Jack Erskine 101
4 Jan - 31 Jan
03 Wednesday 15:00 - 16:00 Jack Erskine 121
4 Jan - 31 Jan
04 Wednesday 15:00 - 16:00 Jack Erskine 445
4 Jan - 31 Jan
05 Wednesday 15:00 - 16:00 Jack Erskine 446
4 Jan - 31 Jan
06 Wednesday 15:00 - 16:00 Jack Erskine 443
4 Jan - 31 Jan
Tutorial C
Activity Day Time Location Weeks
01 Thursday 15:00 - 16:00 Jack Erskine 111
4 Jan - 31 Jan
02 Thursday 15:00 - 16:00 Jack Erskine 101
4 Jan - 31 Jan
03 Thursday 15:00 - 16:00 Jack Erskine 121
4 Jan - 31 Jan
04 Thursday 15:00 - 16:00 Jack Erskine 445
4 Jan - 31 Jan
05 Thursday 15:00 - 16:00 Jack Erskine 315
4 Jan - 31 Jan
06 Thursday 15:00 - 16:00 Jack Erskine 244
4 Jan - 31 Jan
Tutorial D
Activity Day Time Location Weeks
01 Friday 11:00 - 12:00 Jack Erskine 111
4 Jan - 24 Jan
02 Friday 11:00 - 12:00 Jack Erskine 101
4 Jan - 24 Jan
03 Friday 11:00 - 12:00 Jack Erskine 121
4 Jan - 24 Jan
04 Friday 11:00 - 12:00 Jack Erskine 445
4 Jan - 24 Jan
05 Friday 11:00 - 12:00 Jack Erskine 315
4 Jan - 24 Jan
06 Friday 11:00 - 12:00 Jack Erskine 244
4 Jan - 24 Jan

Examination and Formal Tests

Exam A
Activity Day Time Location Weeks
01 Friday 09:30 - 12:00 K1 Lecture Theatre
1 Feb - 7 Feb
Test B
Activity Day Time Location Weeks
01 Monday 18:00 - 19:00 E8 Lecture Theatre
11 Jan - 17 Jan

Timetable Note

The timetable runs November 2020 to February 2021.

Course Coordinator

Phillipa Gourdie

Assessment

Note: To obtain a clear pass (a C– or better), you must obtain at least 40% in the final examination.

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 $975.00

International fee $5,500.00

* 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.

All EMTH119 Occurrences