CALCULUS AND DIFFERENTIAL EQUATIONS

MAT1CDE

2020

Credit points: 15

Subject outline

You will learn and apply mathematical concepts and develop skills that provide a foundation for all studies requiring knowledge of calculus. You will refine and extend your knowledge of the concepts and techniques of calculus and move on to the ideas of differential equations and modelling the real world. The power and limitations of models to make predictions about ecological and economic sustainability are explored. First order separable and first and second order linear differential equations are covered along with some approximation techniques. An active learning approach is used engaging you in solving mathematical problems and exploring the detail of mathematical concepts so they can be appropriately applied. Reasoning skills and the ability to clearly present written arguments will be developed and verbal communication skills are practiced through group-work and interaction with staff. (Engineering students will work to achieve the stage one competencies 1.2 (conceptual understanding of the underpinning mathematics, numerical analysis and statistics), 3.2 (effective written communication) and 3.4 (management of self).)

School: Engineering and Mathematical Sciences (Pre 2022)

Credit points: 15

Subject Co-ordinator: Katherine Seaton

Available to Study Abroad/Exchange Students: Yes

Subject year level: Year Level 1 - UG

Exchange Students: No

Available as Elective: No

Learning Activities: N/A

Capstone subject: No

Subject particulars

Subject rules

Prerequisites: VCE Mathematical Methods 3/4 or equivalent

Co-requisites: N/A

Incompatible subjects: MAT1CPE OR MAT1CNS OR MAT1CB OR MAT1CA OR MAT1CLA

Equivalent subjects: N/A

Quota Management Strategy: N/A

Quota-conditions or rules: N/A

Special conditions: N/A

Minimum credit point requirement: N/A

Assumed knowledge: N/A

Career Ready

Career-focused: No

Work-based learning: No

Self sourced or Uni sourced: N/A

Entire subject or partial subject: N/A

Total hours/days required: N/A

Location of WBL activity (region): N/A

WBL addtional requirements: N/A

Graduate capabilities & intended learning outcomes

Graduate Capabilities

INQUIRY AND ANALYSIS - Critical Thinking and Problem Solving

INQUIRY AND ANALYSIS - Research and Evidence-Based Inquiry

PERSONAL AND PROFESSIONAL - Ethical and Social Responsibility

Intended Learning Outcomes

01. Apply basic techniques of differentiation and explain the relationship between differentiation and slopes of tangents.

02. Identify and apply basic techniques of integration, and utilise the relationship between integration and signed areas under curves to calculate basic integrals.

03. Identify and apply appropriate techniques to solve first and second order ordinary differential equations.

04. Use Taylor Polynomials to find polynomial approximations to functions near 0 and use Taylor's theorem to determine the accuracy of the approximations.

05. Use numerical techniques to find approximations of solutions to differential equations.

06. Present mathematical thinking in written form in a meaningful and succinct way using both words and mathematical notation.

07. Draw conclusions from mathematical models representing real-world phenomena.

Bendigo, 2020, Semester 2, Day

Overview

Online enrolment: Yes

Maximum enrolment size: N/A

Enrolment information: N/A

Subject Instance Co-ordinator: Toen Castle

Class requirements

LectureWeek: 31 - 43
Two 1.00 hour lecture per week on weekdays during the day from week 31 to week 43 and delivered via face-to-face.

PracticalWeek: 31 - 43
Two 1.00 hour practical per week on weekdays during the day from week 31 to week 43 and delivered via face-to-face.

TutorialWeek: 31 - 43
One 1.00 hour tutorial per week on weekdays during the day from week 31 to week 43 and delivered via face-to-face.

Assessments

Assessment element	Comments	Category	Contribution	Hurdle	%	ILO*
3 hour exam (3000 words equivalent)Hurdle requirement: To pass the subject, a pass in the examination is mandatory.	N/A	N/A	N/A	Yes	65	SILO1, SILO2, SILO3, SILO4, SILO5, SILO6, SILO7
5 assignments (typically 3-4 pages each) (1250 words equivalent)	N/A	N/A	N/A	No	20	SILO1, SILO2, SILO3, SILO4, SILO6, SILO7
5 online diagnostic tasks (250 words equivalent)	N/A	N/A	N/A	No	15	SILO1, SILO2, SILO3, SILO4, SILO5

Melbourne (Bundoora), 2020, Semester 2, Day