EMTH119-23SU2 (C) Summer Nov 2023 start

# Engineering Mathematics 1B

15 points

Details:
 Start Date: Monday, 27 November 2023 End Date: Sunday, 11 February 2024
Withdrawal Dates
Last Day to withdraw from this course:
• Without financial penalty (full fee refund): Sunday, 10 December 2023
• Without academic penalty (including no fee refund): Sunday, 14 January 2024

## 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.

## Learning Outcomes

• Students who have succeeded in this course will be able to
• use calculus, algebra or probability to
- solve first and second order differential equations
- find Taylor approximations to functions
- calculate determinants, eigenvalues and eigenvectors
- calculate mean and variance of random variables and solve probability problems arising in engineering applications
-  evaluate integrals arising in mathematics and engineering
- 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, and random variables
- 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)

## Restrictions

MATH103, MATH109, MATH199

## Assessment

Assessment Due Date Percentage
Tutorials 12%
Online Quizzes 16%
Test 32%
Final Exam 40%

Tutorials - 12%
Online Quizzes - 16%
Test - 32%
Final Exam - 40%

To obtain a passing grade in this course you must obtain at least 50% in the course assessment overall and at least 40% in the test and at least 40% in the final examination.

## Textbooks / Resources

#### Recommended Reading

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 .