Use the Tab and Up, Down arrow keys to select menu items.
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.
MATH103 is a course in calculus, linear algebra and probability. It is designed mainly for students who have passed MATH102, and 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: First order differential equations; second order differential equations; matrices, determinants, and eigenvectors; probability; sequences and mathematical induction; applications of differentiation to approximation; techniques and applications of integration; vector geometry.
Students will be able toDefine the key concepts in:solving ordinary differential equationssolving eigenproblemsconvergence of sequencesapproximation of a functionprobabilityDescribe and interpret:the solutions of differential equationsthe connection between linear algebra and the geometry of intersection problemsthe meaning of rigorous statements involving Landau’s O notation.the meaning of a random variable.Use techniques from the course to:solve elementary first- and second-order differential equationsfind eigenvalues and eigenvectorssolve geometric intersection problemsevaluate integrals by a specific techniqueprove a given statement by mathematical inductionderive a Taylor series of a functioncalculate and approximate the mean and variance of a probability distribution.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.Appraise solutions they have found relative to the given problem statements.
MATH102 or MATH108 or EMTH118
MATH109, MATH199, EMTH119
Phillip Wilson
Liz Ackerley , Jeanette McLeod and Rua Murray
Anton, Howard., Bivens, Irl., Davis, Stephen; Calculus: Early Transcendentals ; 9th edition; Wiley (8th edition also suitable).
MATH103 Homepage General information for students LEARN Library portal
Domestic fee $622.00
International fee $3,200.00
* 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 .