INTRODUCTORY CALCULUS

MAT1ICA

2020

Credit points: 15

Subject outline

Calculus is a key mathematical tool used to identify and understand relationships between variables in disciplines such as the natural and physical sciences, engineering and economics. In this subject you will develop algebra and precalculus skills that are required to study calculus. You will be introduced to the key ideas of differential and integral calculus by means of examples focused on problems in science and engineering. The subject is designed for students who have not studied calculus previously (but have algebra skills equivalent to year 10 level) and who wish to gain an appreciation of calculus as preparation for further studies in mathematics, or require it to support study in other disciplines such as physical science.

School: Engineering and Mathematical Sciences (Pre 2022)

Credit points: 15

Subject Co-ordinator: Chris Taylor

Available to Study Abroad/Exchange Students: No

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: N/A

Co-requisites: N/A

Incompatible subjects: MAT1CA OR MAT1NLA OR MAT1PHM OR MAT1CLA OR MAT1CNS OR MAT1CPE OR MAT1CDE OR MAT1CB

Equivalent subjects: N/A

Quota Management Strategy: N/A

Quota-conditions or rules: N/A

Special conditions: This subject is designed for students who have not successfully completed VCE Mathematics Methods 3/4 (or equivalent); these students should complete MAT1ICA successfully, before enrolling in MAT1CDE and/or MAT1NLA.

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

Intended Learning Outcomes

01. Apply the laws of polynomial, power, logarithmic, exponential and trigonometric expressions and functions in solving algebraic problems.

02. Use key properties of polynomial, power, logarithmic, exponential, circular and inverse relations and functions to sketch their graphs without using a graphing calculator.

03. Apply limit laws to obtain limits of expressions involving polynomial, power, exponential and rational functions, and obtain simple derivative functions using the limit definition of the derivative.

04. Use the laws of differentiation to obtain derivative functions.

05. Use derivative functions to determine characteristics of functions for curve sketching, and solve problems associated with tangents and rates of change with applications in science and engineering contexts.

06. Obtain definite and indefinite integrals and apply integration to calculate area and solve problems in science and engineering.

07. Translate between written English and mathematical language and use appropriate mathematical notation in writing solutions to problems.

Bendigo, 2020, Semester 1, Blended

Overview

Online enrolment: Yes

Maximum enrolment size: N/A

Enrolment information: N/A

Subject Instance Co-ordinator: Mumtaz Hussain

Class requirements

LectureWeek: 10 - 22
Two 1.00 hour lecture per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.

PracticalWeek: 10 - 22
Two 1.00 hour practical per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.
Small class sessions with a staff member for practice, reinforcement and extension of concepts in online presentations.

Unscheduled Online ClassWeek: 10 - 22
One 1.00 hour unscheduled online class per week on weekdays during the day from week 10 to week 22 and delivered via online.
2-hours of online learning materials and activity (laboratory space will be provided)

Assessments

Assessment element	Comments	Category	Contribution	Hurdle	%	ILO*
Five 10-min online quizzes (1000 words equivalent total)Unlimited attempts over seven days, for mastery of skills.	N/A	N/A	N/A	No	20	SILO1, SILO2, SILO3, SILO4, SILO5, SILO6
One 2-hour examination (2000 words equivalent)	N/A	N/A	N/A	No	60	SILO1, SILO2, SILO3, SILO4, SILO5, SILO6, SILO7
Five written assignments (1000 words equivalent total)Written answers to mathematical problems, in alternate weeks to quiz. Formative assessment.	N/A	N/A	N/A	No	20	SILO1, SILO2, SILO3, SILO4, SILO5, SILO6, SILO7

Melbourne (Bundoora), 2020, Semester 1, Blended