# CALCULUS AND DIFFERENTIAL EQUATIONS

MAT1CDE

2021

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).)

SchoolEngineering and Mathematical Sciences

Credit points15

Subject Co-ordinatorToen Castle

Subject year levelYear Level 1 - UG

Available as ElectiveNo

Learning ActivitiesN/A

Capstone subjectNo

## Subject particulars

### Subject rules

Prerequisites VCE Mathematical Methods 3/4 or equivalent

Co-requisitesN/A

Incompatible subjectsMAT1CNS OR MAT1CA OR MAT1CPE OR MAT1CB OR MAT1CLA

Equivalent subjectsN/A

Quota Management StrategyN/A

Quota-conditions or rulesN/A

Special conditionsN/A

Minimum credit point requirementN/A

Assumed knowledgeN/A

Career-focusedNo

Work-based learningNo

Self sourced or Uni sourcedN/A

Entire subject or partial subjectN/A

Total hours/days requiredN/A

Location of WBL activity (region)N/A

## Graduate capabilities & intended learning outcomes

### 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.

## Subject options

Select to view your study options…

Start date between: and    Key dates

## Bendigo, 2021, Semester 2, Day

### Overview

Online enrolmentYes

Maximum enrolment sizeN/A

Subject Instance Co-ordinatorToen Castle

### Class requirements

LectureWeek: 30 - 42
Two 1.00 hour lecture per week on weekdays during the day from week 30 to week 42 and delivered via face-to-face.

PracticalWeek: 30 - 42
Two 1.00 hour practical per week on weekdays during the day from week 30 to week 42 and delivered via face-to-face.

TutorialWeek: 30 - 42
One 1.00 hour tutorial per week on weekdays during the day from week 30 to week 42 and delivered via face-to-face.

### Assessments

Assessment elementCategoryContributionHurdle% ILO*

3 hour exam (3000 words equivalent).  Hurdle requirement: To pass the subject, a pass in the examination is mandatory.

Central examIndividualYes65 SILO1, SILO2, SILO3, SILO4, SILO5, SILO6, SILO7

5 assignments (typically 3-4 pages each) (1250 words equivalent)

AssignmentIndividualNo20 SILO1, SILO2, SILO3, SILO4, SILO6, SILO7

5 online diagnostic tasks (250 words equivalent)

OtherIndividualNo15 SILO1, SILO2, SILO3, SILO4, SILO5

## Melbourne (Bundoora), 2021, Semester 2, Day

### Overview

Online enrolmentYes

Maximum enrolment sizeN/A

Subject Instance Co-ordinatorKatherine Seaton

### Class requirements

LectureWeek: 30 - 42
Two 1.00 hour lecture per week on weekdays during the day from week 30 to week 42 and delivered via face-to-face.

PracticalWeek: 30 - 42
Two 1.00 hour practical per week on weekdays during the day from week 30 to week 42 and delivered via face-to-face.

### Assessments

Assessment elementCategoryContributionHurdle% ILO*

3 hour exam (3000 words equivalent).  Hurdle requirement: To pass the subject, a pass in the examination is mandatory.

Central examIndividualYes65 SILO1, SILO2, SILO3, SILO4, SILO5, SILO6, SILO7

5 assignments (typically 3-4 pages each) (1250 words equivalent)

AssignmentIndividualNo20 SILO1, SILO2, SILO3, SILO4, SILO6, SILO7

5 online diagnostic tasks (250 words equivalent)

OtherIndividualNo15 SILO1, SILO2, SILO3, SILO4, SILO5