Offering Information
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Course Team
Yury Stepanyants
Dmitry Strunin
Oleksiy Yevdokimov
Summary
This course follows on directly from MAT1102 Algebra and Calculus I in developing the concepts and techniques of calculus and linear algebra for application to problems in engineering and science, or as a basis for higher study in mathematics.
This course follows on directly from MAT1102 Algebra and Calculus I in developing the concepts and techniques of calculus and linear algebra for application to problems in engineering and science, or as a basis for higher study in mathematics.
SynopsisModule 1 is an introduction to ordinary differential equations (ODEs) and series including direction fields, Euler's method, first order separable ODEs, first and second order linear ODEs with constant coefficients, Taylor and Fourier series. Module 2 covers multivariable calculus including representation of functions of several variables, surfaces and curves in space, partial differentiation, optimisation, directional derivatives, gradient, divergence and curl, line integrals of the 1-st and 2-nd kinds, iterated integrals, Green's theorem. Module 3 extends the linear algebra of MAT1102 Algebra and Calculus 1 to cover eigenvalues and eigenvectors, vector space, bases, dimensions, rank, systems of linear equations, symmetric matrices, transformations, diagonalisation with applications.
Requisites
Course Pre-requisites
Other Requisites or Enrolment Rules
Other
Other Requirements
Other
Offerings
Trimester 2
OL-TWMBA-TR2
ON-TWMBA-TR2
Trimester 3
OL-TWMBA-TR3
ON-TWMBA-TR3
Learning Outcomes
Upon completion of this course, graduates will be able to:
1.
Develop and apply mathematical techniques and skills to solve problems essential to further study in sciences or engineering
2.
Demonstrate proficiency to interpret and solve basic mathematical problems relevant to this course;
3.
Apply mathematical skills to solve authentic science and engineering problems relevant to this course;
4.
Effectively communicate mathematical concepts and arguments using appropriate notation
Topics
Differential Equations and Series: direction fields - first order linear ODEs - Taylor series - Fourier series - Euler's method - second order linear ODEs with constant coefficients (35%) Multivariable Calculus: curves in space - surfaces in space - functions of several variables - partial differentiation - geometric interpretation… For more content click the Read More button below.
Assessments
Assessment due dates (as listed in Week Due) are indicative until finalised by the end of Week 1 for each Study Period (Offering). After Week 1, Assessment due dates may change with the approval of the Dean (Academic) or Delegate in limited circumstances. All Assessment due date changes approved after Week 1 will be communicated to students accordingly via Handbook and StudyDesk.