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Course Outline - Lecture notes 1
Calculus of Science and Engineering (MATH2310)
University of Newcastle (Australia)
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Faculty of Science
School of Mathematical and Physical Sciences
MATH2310: Calculus of Science and Engineering
Callaghan Semester 1 - 2020
CRICOS Provider 00109J
OVERVIEW
Course Description Provides the essential mathematical techniques of Physical Science and Engineering. These are the methods of Multivariable Calculus and Differential Equations. Multivariable Calculus involves a study of the differential and integral calculus of functions of two or more variables. In particular it covers introductory material on the differential calculus of scalar and vector fields, and the integral calculus of scalar and vector functions. Differential Equations arise from mathematical models of physical processes. Also includes the study of the main analytical and numerical methods for obtaining solutions to first and second order differential equations. The course also introduces students to the use of mathematical software in the investigation of problems in multivariable calculus and differential equations.
Assumed Knowledge MATH1120 or MATH Contact Hours Lecture Face to Face On Campus 4 hour(s) per Week for Full Term
Workshop Face to Face On Campus 2 hour(s) per Week for 11 Weeks starting Week 2
Unit Weighting 10 Workload Students are required to spend on average 120-140 hours of effort (contact and non-contact) including assessments per 10
unit course.
Callaghan Semester 1 - 2020
CONTACTS
Course Coordinator Callaghan A/Prof Mike Meylan Mike@newcastle.edu (02) 4921 6792 Consultation: Room SR216 Thursdays 10am-12pm
Teaching Staff Other teaching staff will be advised on the course Blackboard site.
School Office School of Mathematical and Physical Sciences SR233, Social Sciences Building Callaghan +61 2 4921 5515 (MATHS) +61 2 4921 5513 (PHYSICS & STATISTICS) Science-MAPS-Admin@newcastle.edu 9am-5pm (Mon-Fri)
SYLLABUS
Course Content • Real valued functions of several variables.
- The differential operator "del".
- Cylindrical and spherical coordinates.
- General curves and surfaces.
- Normals, tangents and tangent planes.
- Double integrals.
- Iterated integrals.
- Triple integrals.
- Line integrals.
- Surface integrals.
- Vector valued functions.
- Divergence and Curl.
- Line integrals of vector fields.
- Green's theorem.
- Stokes' theorem.
- Divergence theorem.
- Formulation of differential equations for simple physical processes
- Interpreting solutions for first order differential equations using appropriate software.
- Further studies of ordinary differential equations
- Finding numerical solutions using Runge-Kutta methods via computer software.
- Laplace transform methods for initial value problems.
- Solving second order initial value problems with step function forcing terms.
- Power series solutions to second order differential equations.
- Boundary-value problems for partial differential equations.
Course Learning Outcomes
On successful completion of this course, students will be able to:
Identify and apply mathematical methods applicable to the differentiation and integration of functions of several variables and to ordinary differential equations.
Apply appropriate mathematical fundamentals to solve a specific mathematical problems involving functions of many variables
Apply mathematical models involving multivariable calculus and ordinary differential equations to solve mathematical problems
Effectively communicate and interpret solutions to mathematical modelling problems.
Course Materials Recommended Text: - Zill/Wright: Differential Equations with Boundary-Value Problems, 8th edition, 2013, ISBN
9781111827069
Required Reading: - Stewart: Multivariable Calculus, 8th edition, 2016, ISBN 9781305266643
Callaghan Semester 1 - 2020
applies equally to week and weekend days.
Assessment 1 - Quiz - Class
Assessment Type Quiz Purpose To provide ongoing feedback on learning success. Description Ten quizzes that will be held in the workshops. The best nine out of ten quizzes will be counted. Weighting 15% Length 25 minutes Due Date At the end of each workshop. Submission Method In Class Assessment Criteria Mathematical correctness. Return Method In Class Feedback Provided In Class. The last quiz will not be returned in class, but can be collected in the maths office.
Assessment 2 - Examination
Assessment Type Formal Examination Description Formal Examination. Weighting 50% Length 120 minutes + 10 minutes reading time Due Date Formal examination period. Submission Method Formal Exam Assessment Criteria Mathematical correctness. Return Method Not Returned Feedback Provided No Feedback.
Assessment 3 - Mid Semester Test
Assessment Type In Term Test Description A smaller version of the final exam, covering the first 5 weeks of the semester. Weighting 25% Length 60 minutes Due Date Week 8 in your workshops Submission Method In Class Assessment Criteria Mathematical correctness. Return Method In Class Feedback Provided In Class.
Assessment 4 - Online quiz
Assessment Type Quiz Purpose To test students' preliminary knowledge and skills through pre-reading course materials Description Online quiz is sat through blackboard before lectures each week. The due date for the quiz in the first week will be extended. Weighting 10% Due Date Quiz closes at the start of the first lecture each week. Submission Method Online Assessment Criteria Correctness of multiple choice selections Return Method Online Feedback Provided No Feedback.
ADDITIONAL INFORMATION
Grading Scheme This course is graded as follows:
Range of Marks
Grade Description
85-100 High Distinction (HD)
Outstanding standard indicating comprehensive knowledge and understanding of the relevant materials; demonstration of an outstanding level of academic achievement; mastery of
Callaghan Semester 1 - 2020
skills*; and achievement of all assessment objectives. 75-84 Distinction (D)
Excellent standard indicating a very high level of knowledge and understanding of the relevant materials; demonstration of a very high level of academic ability; sound development of skills*; and achievement of all assessment objectives. 65-74 Credit (C)
Good standard indicating a high level of knowledge and understanding of the relevant materials; demonstration of a high level of academic achievement; reasonable development of skills*; and achievement of all learning outcomes. 50-64 Pass (P)
Satisfactory standard indicating an adequate knowledge and understanding of the relevant materials; demonstration of an adequate level of academic achievement; satisfactory development of skills*; and achievement of all learning outcomes. 0- 49 Fail (FF)
Failure to satisfactorily achieve learning outcomes. If all compulsory course components are not completed the mark will be zero. A fail grade may also be awarded following disciplinary action.
*Skills are those identified for the purposes of assessment task(s).
Communication Methods
Communication methods used in this course include: - Blackboard Course Site: Students will receive communications via the posting of
content or announcements on the Blackboard course site.
- Email: Students will receive communications via their student email account.
Course Evaluation Each year feedback is sought from students and other stakeholders about the courses offered in the University for the purposes of identifying areas of excellence and potential improvement.
Academic Misconduct All students are required to meet the academic integrity standards of the University. These standards reinforce the importance of integrity and honesty in an academic environment. Academic Integrity policies apply to all students of the University in all modes of study and in all locations. For the Student Academic Integrity Policy, refer to policies.newcastle.edu/document/view-current.php?id=35.
Adverse Circumstances
You are entitled to apply for special consideration because adverse circumstances have had an impact on your performance in an assessment item. This includes applying for an extension of time to complete an assessment item. Prior to applying you must refer to the Adverse Circumstances Affecting Assessment Items Procedure, available at policies.newcastle.edu/document/view-current.php?id=236. All applications for Adverse Circumstances must be lodged via the online Adverse Circumstances system, along with supporting documentation.
Important Policy Information
The 'HELP for Students' tab in UoNline contains important information that all students should be familiar with, including various systems, policies and procedures.
This course outline was approved by the Head of School. No alteration of this course outline is permitted without Head of School approval. If a change is approved, students will be notified and an amended course outline will be provided in the same manner as the original. © 2020 The University of Newcastle, Australia
Course Outline - Lecture notes 1
Course: Calculus of Science and Engineering (MATH2310)
University: University of Newcastle (Australia)
