1 false MATH1115 <p>This course begins an in-depth study of the fundamental concepts of calculus and linear algebra. The use and understanding of proof and abstract ideas, will allow students to develop analytical skills which will form a base for further study in fundamental mathematics as well as providing a foundation for a wide range of quantitative areas such as actuarial studies, computer science, engineering, economics, statistics and physics.</p><p>Topics to be covered include: Calculus - limits, continuity, differentiation, inverse functions, transcendental functions, extrema, concavity and inflections, applications of derivatives, Taylor Polynomials, integration, differential equations, functions of several variables, partial derivatives, double integrals; complex numbers, solving linear equations, matrix equations, linear independence, linear transformations, matrix operations, matrix inverses, subspaces, dimension and rank, determinants, Cramer&#39;s rule, volumes. </p><p>Note: This is an Honours Pathway Course. It involves extra material and emphasizes the use and understanding of proof and abstract ideas to a deeper conceptual level than MATH1013. </p> A 1 false 12597 <p>with MATH1013.</p> <p class="MsoNormal"><span>Assessment will be based on:</span></p><ul><li><div class="MsoNormal"><span>Nine assignments (20% in total: LO 1-4)</span></div></li><li><div class="MsoNormal"><span>Mid-semester test (30%; LO1-4)</span></div></li><li><div class="MsoNormal"><span>Final examination (50%; LO 1-4)</span></div></li></ul> 1 1 <p>On satisfying the requirements of this course, students will have the knowledge and skills to:</p>1. Explain the fundamental concepts of calculus and linear algebra and their role in modern mathematics and applied contexts<br />2. Demonstrate accurate and efficient use of calculus and linear algebra techniques<br />3. Demonstrate capacity for mathematical reasoning through analyzing, proving and explaining concepts from calculus and linear algebra<br />4. Apply problem-solving using calculus and linear algebra techniques applied to diverse situations in physics, engineering and other mathematical contexts 2 Mathematics and Applications 1 Honours 6 6 6 <p>A satisfactory pass in the ACT Specialist Mathematics double major, NSW HSC Mathematics Extension 2 or equivalent. Students with excellent results in either the ACT Specialist Mathematics major-minor, NSW HSC Mathematics Extension 1, or equivalent, may be permitted to enrol.</p> Maths & Applications 1 H Band 2 NP Mathematics u8606170 2 <p>48 lectures and 10 hours of laboratory and tutorial sessions</p> 2010