EMTH118-23S1 (C) Semester One 2023

# Engineering Mathematics 1A

15 points

Details:
 Start Date: Monday, 20 February 2023 End Date: Sunday, 25 June 2023
Withdrawal Dates
Last Day to withdraw from this course:
• Without financial penalty (full fee refund): Sunday, 5 March 2023
• Without academic penalty (including no fee refund): Sunday, 14 May 2023

## Description

A first course in the methods and applications of engineering mathematics. Topics include calculus, linear algebra, and modelling techniques. This Course is designed for engineering students who have done well in NCEA Mathematics with calculus.

Contact person for this course: Phillipa Gourdie

A pass in EMTH118 allows entry into EMTH119 and also prepares students for ENGR102.

Topics:
Linear equations and matrices; functions, limits and continuity; vector geometry; differentiation; applications of differentiation; integration; and applications of integration, including an introduction to first order differential equations.

## Learning Outcomes

After successful completion of this course, you will be able to:
o Describe lines and planes using vector equations.
o Use vector geometry to solve angle, distance, and intersection problems.
o Understand, solve, and interpret the solutions to systems of linear equations.
o Use matrix algebra and understand the connection between matrices and linear systems.
o Solve problems involving inequalities and absolute value.
o Understand complex numbers and their algebra.
o Express complex numbers in rectangular and polar form.
o Find powers and roots of complex numbers.
o Solve problems involving exponential, log, trig and inverse trig functions.
o Understand the concept of a function and its inverse.
o Evaluate limits of functions and solve continuity problems.
o Find derivatives and use them in engineering and modelling applications.
o Find integrals and use them in engineering and modelling applications.

## Prerequisites

1) MATH101, or
2) NCEA 14 Credits (18 strongly recommended) at level 3 Mathematics (including the standards 'Apply differentiation methods in solving problems (91578)' and 'Apply integration methods in solving problems (91579)'), or
3) Cambridge: D at A level or an A at AS level in Mathematics, or
4) IB: 4 at HL or 5 at SL in Mathematics, or
5) approval of the Head of School based on alternative prior learning.

## Restrictions

MATH102, MATH108, MATH199

## Assessment

Note: To pass this course you must obtain a final mark of at least 50% and obtain at least 40% in the final examination.

## Textbooks / Resources

Stewart, James; Calculus : early transcendentals ; Eighth edition; Cengage Learning, 2016.

## Indicative Fees

Domestic fee \$1,030.00

International fee \$5,750.00

* 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 EMTH118 Occurrences

• EMTH118-23S1 (D) Semester One 2023 (Distance) - Not Offered - see department for alternatives
• EMTH118-23S1 (C) Semester One 2023
• EMTH118-23S2 (C) Semester Two 2023