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A consolidation of concepts from MATH102 and introduction to more advanced ideas in calculus and linear algebra. It also incorporates some study of statistics. It is a prerequisite for many courses in 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, at the times specified, on the following days:Lecture Times: Tue 9 - 10.30; Wed 11 - 12.30; Thu 1 - 2:30; Fri 11 - 12.30Tutorial Times: Tue 11 - 12; Wed 1 - 2; Thu 3 - 4; Fri 1 – 2The official start date for the course is 1st December 2014. In the first week we will be posting self-study material and revision units in Learn. You should study these at home to prepare for the start of on-campus lectures on Tuesday 9th December. Tutorials follow every lecture, that is, each day there will be a tutorial with exercises to practise the material covered in that day's lecture. Lectures resume after the Christmas break on Tuesday 6th January, and the mid-course test is on Monday 12th January. The last lecture for the course is on Wednesday 4th February. The exam will be held on Wednesday 11th February.You must be able to make a commitment to being on-campus from 9th December to 19th December and 6th January to 4th February inclusive, plus the exam on 11th February, before enrolling in this course.MATH103 deals with techniques and ideas in algebra, calculus and statistics. It is designed mainly for students who have passed MATH102, and who need at least 30 points of Mathematics at the 100 level. After passing MATH103, you will be able to enrol in any 200-level mathematics course.Topics: vectors and geometry, eigenvalues and eigenvectors, sequences and mathematical induction, series and approximation, techniques and applications of integration, differential equations, probability.
Students who have succeeded in this course should be able to:Define the key concepts associated with:vectors in two and three dimensions,eigenvalues and eigenvectors,convergence of sequences,Taylor polynomials and series,integrals and differential equations,probability.Use techniques from the course (including the use of MAPLE where appropriate) to:solve problems involving dot or cross products of vectors,find the eigenvalues and eigenvectors of small matrices,prove simple statements using the principle of mathematical induction,test sequences or series for convergence,find Taylor polynomials and use them to solve problems involving limits or approximation, evaluate integrals involving trigonometric functions or rational functions,solve elementary first or second order differential equations,calculate means and variances of probability distributions.Describe and interpret:the connection between vectors and the geometry of lines and planes,the solutions of differential equations in a variety of contexts,the meaning of a random variable in a variety of contexts.Identify the appropriate method of solution for differential equations and integrals.Synthesise appropriate techniques from different sections of the course, for example, combining techniques of integration and skill at limit evaluation to determine improper integrals.
MATH102 or MATH108 or EMTH118
MATH109, MATH199, EMTH119
Irene David
Phillipa Gourdie
Recommended reading:Anton, Howard., Bivens, Irl., Davis, Stephen; Calculus: Early Transcendentals; 10th edition; Wiley (8th or 9th edition also suitable).
MATH103 homepage General information for students Library portal LEARN
Domestic fee $672.00
International fee $3,388.00
* 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 .