MATH103-12S2 (C) Semester Two 2012

Mathematics 1B

15 points

Details:
Start Date: Monday, 9 July 2012
End Date: Sunday, 11 November 2012
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Friday, 20 July 2012
  • Without academic penalty (including no fee refund): Friday, 5 October 2012

Description

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.

Learning Outcomes

  • Students will be able to

    Define the key concepts in:
  • solving ordinary differential equations
  • solving eigenproblems
  • convergence of sequences
  • approximation of a function
  • probability

    Describe and interpret:
  • the solutions of differential equations
  • the connection between linear algebra and the geometry of intersection problems
  • the 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 equations
  • find eigenvalues and eigenvectors
  • solve geometric intersection problems
  • evaluate integrals by a specific technique
  • prove a given statement by mathematical induction
  • derive a Taylor series of a function
  • calculate 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.

Prerequisites

MATH102 or MATH108 or EMTH118

Restrictions

MATH109, MATH199, EMTH119

Course Coordinator

Phillip Wilson

Lecturers

Liz Ackerley , Jeanette McLeod and Rua Murray

Assessment

Assessment Due Date Percentage 
Internal Assessment - TBA 50%
Final Examination 50%

Textbooks / Resources

Required Texts

Anton, Howard., Bivens, Irl., Davis, Stephen; Calculus: Early Transcendentals ; 9th edition; Wiley (8th edition also suitable).

Indicative Fees

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 .

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