MATH2350
10 units
2000 level
Course handbook
Description
Abstraction and generalisation are at the core of mathematics. Formal algebraic and epsilon-delta proofs underpin many areas of modern mathematics. This course dives deeper into the formal structures of linear algebra and calculus. You will practice your formal proof techniques both algebraically and analytically and see examples of modern applications of linear algebra, thus further developing your logical, analytical and critical thinking skills. On completion of this course, you will have developed the necessary skills and theoretical knowledge to work with real-valued functions and with linear algebra, in both theoretical and applied contexts.
Availability2024 Course Timetables
Callaghan
- Semester 2 - 2024
Learning outcomes
On successful completion of the course students will be able to:
1. Solve mathematical problems using advanced linear algebra/real analysis.
2. Carefully state and prove key theorems in linear algebra and real analysis using the associated techniques.
3. Construct and communicate rigorous mathematical arguments.
Content
- Operators on Inner-Product Spaces, Orthogonality
- Jordan Canonical Form and Singular Value Decomposition
- Differentiability and Mean Value Theorem
- Riemann integral and the Fundamental Theorems of Calculus
Assumed knowledge
MATH2340
Assessment items
Formal Examination: Final Exam
In Term Test: Midsemester Test
Written Assignment: Assignments
Online Learning Activity: Weekly online quizzes
Tutorial / Laboratory Exercises: Weekly tutorial discussion
Contact hours
Semester 2 - 2024 - Callaghan
Lecture-1
- Face to Face On Campus 3 hour(s) per week(s) for 13 week(s) starting in week 1
Tutorial-1
- Face to Face On Campus 1 hour(s) per week(s) for 12 week(s) starting in week 2
Course outline
Course outline not yet available.
The University of Newcastle acknowledges the traditional custodians of the lands within our footprint areas: Awabakal, Darkinjung, Biripai, Worimi, Wonnarua, and Eora Nations. We also pay respect to the wisdom of our Elders past and present.