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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.
• EMTH119-24SU2 is an on-campus course. This course cannot be taken by distance. • The course requires a time commitment of around 20 hours per week (more if you need to spend time to consolidate your learning from EMTH118 as well as mastering the new EMTH119 material). In each week of the course you will usually have four 2-hour lectures and four 1-hour tutorials which you are expected to attend in person. The tutorial times immediately follow the lecture times.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.
Students who have succeeded in this course will be able touse 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 pointsdemonstrate 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 calculationsdescribe 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)
EMTH118, COSC131
MATH103, MATH109, MATH199
Students must attend one activity from each section.
Jenny Harlow
Phillipa Gourdie
Tutorials (best 24 out of 26) 10%Online Quizzes (8 quizzes @ 2% each) 16%Test 34%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.
Stewart, James; Calculus : early transcendentals ; Eighth edition; Cengage Learning, 2016.
Domestic fee $1,059.00
International fee $6,000.00
* 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 .