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Showing 25 course outlines from 747 matches
351
MATHS 110
: Mathematics for Natural Sciences2023 Semester One (1233)
A general entry to Mathematics for the natural sciences, following Year 13 Mathematics. Covers selected topics in algebra and calculus and their application to chemistry, biology and other natural sciences. Recommended Preparation: It is recommended that NCEA students have a rank score of at least 210 and a merit or excellence in the Differentiation Standard 91578.
<i>Prerequisite: MATHS 102 or 108 or at least 13 credits in Mathematics at NCEA Level 3, or D or better in Cambridge A2 Mathematics, C or better in AS Mathematics, pass in IB Mathematics: Analysis and Approaches (SL or HL)</i>
Restriction: ENGGEN 150, ENGSCI 111, MATHS 208, 250. More than 15 points from MATHS 120 and 130
352
MATHS 120
: Algebra2023 Semester Two (1235)
A foundation for further mathematics courses, essential for students intending to major in Mathematics, Applied Mathematics, Statistics, Physics, or who want a strong mathematical component to their degree. Develops skills and knowledge in linear algebra, together with an introduction to mathematical language and reasoning, including complex numbers, induction and combinatorics. Recommended preparation: Merit or excellence in the Differentiation Standard 91578 at NCEA Level 3.
<i>Prerequisite: MATHS 208, or B- or higher in MATHS 108, or A- or higher in MATHS 110, or A+ in MATHS 102, or at least 18 credits in Mathematics at NCEA Level 3 including at least 9 credits at merit or excellence, or B in CIE A2 Mathematics, or 5 out of 7 in IB Mathematics: Analysis and Approaches (SL or HL)</i>
No pre-requisites or restrictions
353
MATHS 120
: Algebra2023 Semester One (1233)
A foundation for further mathematics courses, essential for students intending to major in Mathematics, Applied Mathematics, Statistics, Physics, or who want a strong mathematical component to their degree. Develops skills and knowledge in linear algebra, together with an introduction to mathematical language and reasoning, including complex numbers, induction and combinatorics. Recommended preparation: Merit or excellence in the Differentiation Standard 91578 at NCEA Level 3.
<i>Prerequisite: MATHS 208, or B- or higher in MATHS 108, or A- or higher in MATHS 110, or A+ in MATHS 102, or at least 18 credits in Mathematics at NCEA Level 3 including at least 9 credits at merit or excellence, or B in CIE A2 Mathematics, or 5 out of 7 in IB Mathematics: Analysis and Approaches (SL or HL)</i>
No pre-requisites or restrictions
354
MATHS 130
: Calculus2023 Semester Two (1235)
A foundation for further mathematics courses, essential for students intending to major in Mathematics, Applied Mathematics, Statistics, Physics, or who want a strong mathematical component to their degree. Develops skills and knowledge in calculus of functions of a single variable. Recommended preparation: Merit or excellence in the Differentiation Standard 91578 at NCEA Level 3.
<i>Prerequisite: MATHS 208, or B- or higher in MATHS 108, or A- or higher in MATHS 110, or A+ in MATHS 102, or at least 18 credits in Mathematics at NCEA Level 3 including at least 9 credits at merit or excellence, or B in CIE A2 Mathematics, or 5 out of 7 in IB Mathematics: Analysis and Approaches (SL or HL)</i>
No pre-requisites or restrictions
355
MATHS 130
: Calculus2023 Semester One (1233)
A foundation for further mathematics courses, essential for students intending to major in Mathematics, Applied Mathematics, Statistics, Physics, or who want a strong mathematical component to their degree. Develops skills and knowledge in calculus of functions of a single variable. Recommended preparation: Merit or excellence in the Differentiation Standard 91578 at NCEA Level 3.
<i>Prerequisite: MATHS 208, or B- or higher in MATHS 108, or A- or higher in MATHS 110, or A+ in MATHS 102, or at least 18 credits in Mathematics at NCEA Level 3 including at least 9 credits at merit or excellence, or B in CIE A2 Mathematics, or 5 out of 7 in IB Mathematics: Analysis and Approaches (SL or HL)</i>
No pre-requisites or restrictions
356
MATHS 162
: Computational Mathematics2023 Semester Two (1235)
An introduction to computational mathematics and programming in MATLAB. The course will introduce some basic concepts in computational mathematics and give applications that include cryptography, difference equations, stochastic modelling, graph theory and Markov chains.
Corequisite: ENGGEN 150 or ENGSCI 111 or MATHS 108 or 120
Restriction: MATHS 199
Restriction: MATHS 199
357
MATHS 162
: Computational Mathematics2023 Semester One (1233)
An introduction to computational mathematics and programming in MATLAB. The course will introduce some basic concepts in computational mathematics and give applications that include cryptography, difference equations, stochastic modelling, graph theory and Markov chains.
Corequisite: ENGGEN 150 or ENGSCI 111 or MATHS 108 or 120
Restriction: MATHS 199
Restriction: MATHS 199
358
MATHS 190
: Great Ideas Shaping our World2023 Semester Two (1235)
Mathematics contains many powerful and beautiful ideas that have shaped the way we understand our world. This course explores some of the grand successes of mathematical thinking. No formal mathematics background is required, just curiosity about topics such as infinity, paradoxes, cryptography, knots and fractals.
Restriction: MATHS 190 may not be taken after any Mathematics course at Stage III
359
MATHS 199
: Advancing in Mathematics2023 Semester One (1233)
An introduction to University level mathematics, for high-achieving students currently at high school. The numerical computing environment MATLAB is used to study beautiful mathematics from algebra, analysis, applied mathematics and combinatorics. Students will learn to write mathematical proofs and create mathematical models to find solutions to real-world problems.
Prerequisite: Departmental approval
360
MATHS 208
: General Mathematics 22023 Semester Two (1235)
This sequel to MATHS 108 features applications from the theory of multi-variable calculus, linear algebra and differential equations to real-life problems in statistics, economics, finance, computer science, and operations research.
Prerequisite: 15 points from MATHS 108, ENGSCI 111, ENGGEN 150, or MATHS 120 and MATHS 130, or a B- or higher in MATHS 110
Restriction: Cannot be taken, concurrently with, or after MATHS 250, 253
Restriction: Cannot be taken, concurrently with, or after MATHS 250, 253
361
MATHS 208
: General Mathematics 22023 Semester One (1233)
This sequel to MATHS 108 features applications from the theory of multi-variable calculus, linear algebra and differential equations to real-life problems in statistics, economics, finance, computer science, and operations research.
Prerequisite: 15 points from MATHS 108, ENGSCI 111, ENGGEN 150, or MATHS 120 and MATHS 130, or a B- or higher in MATHS 110
Restriction: Cannot be taken, concurrently with, or after MATHS 250, 253
Restriction: Cannot be taken, concurrently with, or after MATHS 250, 253
362
MATHS 208
: General Mathematics 22023 Summer School (1230)
This sequel to MATHS 108 features applications from the theory of multi-variable calculus, linear algebra and differential equations to real-life problems in statistics, economics, finance, computer science, and operations research.
Prerequisite: 15 points from MATHS 108, ENGSCI 111, ENGGEN 150, or MATHS 120 and MATHS 130, or a B- or higher in MATHS 110
Restriction: Cannot be taken, concurrently with, or after MATHS 250, 253
Restriction: Cannot be taken, concurrently with, or after MATHS 250, 253
363
MATHS 250
: Algebra and Calculus 22023 Semester Two (1235)
Designed for all students who plan to progress further in mathematics, this course follows directly from MATHS 120 and 130. Covering topics from multivariable calculus and linear algebra, which have many applications in science, engineering and commerce. Students will learn mathematical results and procedures as well as the underpinning ideas and mathematical proofs.
Prerequisite: MATHS 120 and 130, or ENGGEN 150 or ENGSCI 111
364
MATHS 250
: Algebra and Calculus 22023 Semester One (1233)
Designed for all students who plan to progress further in mathematics, this course follows directly from MATHS 120 and 130. Covering topics from multivariable calculus and linear algebra, which have many applications in science, engineering and commerce. Students will learn mathematical results and procedures as well as the underpinning ideas and mathematical proofs.
Prerequisite: MATHS 120 and 130, or ENGGEN 150 or ENGSCI 111
365
MATHS 253
: Algebra and Calculus 32023 Semester One (1233)
A sequel to MATHS 250, further developing and bringing together linear algebra and calculus. Students will learn about quadratic forms, projections, spectral decomposition, methods of multicriteria optimisation, double, triple and line integrals, Green’s theorem and applications.
Prerequisite: MATHS 250
366
MATHS 254
: Fundamental Concepts of Mathematics2023 Semester Two (1235)
Fundamentals of mathematics important to many branches of the subject and its applications. Topics include equivalence relations, elementary number theory, counting techniques, elementary probability, geometry, symmetry and metric spaces. This is an essential course for all students advancing beyond Stage II in pure mathematics, and highly suitable for other students in the mathematical sciences.
Corequisite: MATHS 250
367
MATHS 254
: Fundamental Concepts of Mathematics2023 Semester One (1233)
Fundamentals of mathematics important to many branches of the subject and its applications. Topics include equivalence relations, elementary number theory, counting techniques, elementary probability, geometry, symmetry and metric spaces. This is an essential course for all students advancing beyond Stage II in pure mathematics, and highly suitable for other students in the mathematical sciences.
Corequisite: MATHS 250
368
MATHS 260
: Differential Equations2023 Semester Two (1235)
The study of differential equations is central to mathematical modelling of systems that change. Develops methods for understanding the behaviour of solutions to ordinary differential equations. Qualitative and elementary numerical methods for obtaining information about solutions are discussed, as well as some analytical techniques for finding exact solutions in certain cases. Some applications of differential equations to scientific modelling are discussed. A core course for Applied Mathematics.
Prerequisite: MATHS 208 or 250 or ENGSCI 211 or a concurrent enrolment in MATHS 250
369
MATHS 260
: Differential Equations2023 Semester One (1233)
The study of differential equations is central to mathematical modelling of systems that change. Develops methods for understanding the behaviour of solutions to ordinary differential equations. Qualitative and elementary numerical methods for obtaining information about solutions are discussed, as well as some analytical techniques for finding exact solutions in certain cases. Some applications of differential equations to scientific modelling are discussed. A core course for Applied Mathematics.
Prerequisite: MATHS 208 or 250 or ENGSCI 211 or a concurrent enrolment in MATHS 250
370
MATHS 270
: Numerical Computation2023 Semester Two (1235)
Many mathematical models occurring in Science and Engineering cannot be solved exactly using algebra and calculus. Students are introduced to computer-based methods that can be used to find approximate solutions to these problems. The methods covered in the course are powerful yet simple to use. This is a core course for students who wish to advance in Applied Mathematics.
Prerequisite: MATHS 120 and 130, or 15 points from ENGGEN 150, ENGSCI 111, MATHS 108, 110 and 15 points from COMPSCI 101, 105, 130, INFOSYS 110, 120, MATHS 162, 199
371
MATHS 302
: Perspectives in Mathematics Education2023 Semester Two (1235)
For people interested in thinking about the social, cultural, political, economic, historical, technological and theoretical ideas that influence mathematics education, who want to understand the forces that shaped their own mathematics education, or who are interested in teaching. Students will develop their ability to communicate ideas in essay form. Recommended preparation: At least 45 points from courses in Mathematics or Statistics.
No pre-requisites or restrictions
372
MATHS 315
: Mathematical Logic2023 Semester Two (1235)
Logic addresses the foundations of mathematical reasoning. It models the process of mathematical proof by providing a setting and the rules of deduction. Builds a basic understanding of first order predicate logic, introduces model theory and demonstrates how models of a first order system relate to mathematical structures. The course is recommended for anyone studying high level computer science or mathematical logic.
Prerequisite: B+ or higher in COMPSCI 225 or MATHS 254 or PHIL 222
373
MATHS 320
: Algebraic Structures2023 Semester Two (1235)
This is a framework for a unified treatment of many different mathematical structures. It concentrates on the fundamental notions of groups, rings and fields. The abstract descriptions are accompanied by numerous concrete examples. Applications abound: symmetries, geometry, coding theory, cryptography and many more. This course is recommended for those planning graduate study in pure mathematics.
Prerequisite: MATHS 250, 254
374
MATHS 326
: Combinatorics2023 Semester One (1233)
Combinatorics is a branch of mathematics that studies collections of objects that satisfy specified criteria. An important part of combinatorics is graph theory, which is now connected to other disciplines including bioinformatics, electrical engineering, molecular chemistry and social science. The use of combinatorics in solving counting and construction problems is covered using topics that include algorithmic graph theory, codes and incidence structures, and combinatorial complexity.
Prerequisite: MATHS 250 or 254, and a B+ or higher in COMPSCI 225
375
MATHS 328
: Algebra and Applications2023 Semester One (1233)
The goal of this course is to show the power of algebra and number theory in the real world. It concentrates on concrete objects like polynomial rings, finite fields, groups of points on elliptic curves, studies their elementary properties and shows their exceptional applicability to various problems in information technology including cryptography, secret sharing, and reliable transmission of information through an unreliable channel.
Prerequisite: MATHS 250 and 254, or a B+ or higher in COMPSCI 225 and 15 points from MATHS 250, 253