INTRODUCTORY CALCULUS

MAT1ICA

2018

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 students will develop algebra and precalculus skills that are required to study calculus, and will be introduced to the key ideas of differential and integral calculus by means of examples focussed 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.

SchoolSchool Engineering&Mathematical Sciences

Credit points15

Subject Co-ordinatorNarwin Perkal

Available to Study Abroad StudentsNo

Subject year levelYear Level 1 - UG

Exchange StudentsNo

Subject particulars

Subject rules

PrerequisitesN/A

Co-requisitesN/A

Incompatible subjects May not be taken by students who are enrolled in or have already passed MAT1CNS, MAT1CLA, MAT1CA, MAT1CB, MAT1CPE, MAT1PHM, MAT1NLA or MAT1CDE.

Equivalent subjectsN/A

Special conditions This subject is designed for students who have not successfully completed VCE Mathematics Methods (or equivalent).

Graduate capabilities & intended learning outcomes

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

Activities:
Concepts and methods introduced by a mix of classroom presentation, online video presentation and text material. Consolidated by student work on prescribed exercises in practice classes and in private study. Feedback provided through online quizzes and in-class tests.

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

Activities:
Concepts and methods introduced by a mix of classroom presentation, online video presentation and text material. Consolidated by student work on prescribed exercises in practice classes and in private study. Feedback provided through online quizzes and in-class tests.

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.

Activities:
Concepts and methods introduced by a mix of classroom presentation, online video presentation and text material. Consolidated by student work on prescribed exercises in practice classes and in private study. Feedback provided through online quizzes and in-class tests.

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

Activities:
Concepts and methods introduced by a mix of classroom presentation, online video presentation and text material. Consolidated by student work on prescribed exercises in practice classes and in private study. Feedback provided through online quizzes and in-class tests.

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.

Activities:
Concepts and methods introduced by a mix of classroom presentation, online video presentation and text material. Consolidated by student work on prescribed exercises in practice classes and in private study. Feedback provided through online quizzes and in-class tests.

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

Activities:
Concepts and methods introduced by a mix of classroom presentation, online video presentation and text material. Consolidated by student work on prescribed exercises in practice classes and in private study. Feedback provided through online quizzes and in-class tests.

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

Activities:
Illustrated in classroom presentation, online video presentation and text material. Consolidated by student work on prescribed exercises in practice classes and in private study. Feedback provided through online quizzes and in-class tests.

Subject options

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Start date between: and    Key dates

Bendigo, 2018, Semester 1, Blended

Overview

Online enrolmentYes

Maximum enrolment sizeN/A

Enrolment information

Subject Instance Co-ordinatorMumtaz Hussain

Class requirements

Unscheduled Online Class Week: 10 - 22
One 2.0 hours 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)"

Practical Week: 10 - 22
Two 1.0 hours 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."

WorkShop Week: 10 - 22
One 1.0 hours workshop per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.

Assessments

Assessment elementComments% ILO*
Eight 10-min online quizzes (1200 words equivalent total)15 06, 05, 04, 03, 01, 02
One 1.5-hour examination (1500 words equivalent)55 07, 01, 02, 03, 04, 05, 06
Three 30-min tests (1500 words equivalent total)30 07, 01, 02, 03, 04, 05, 06

Melbourne, 2018, Semester 1, Blended

Overview

Online enrolmentYes

Maximum enrolment sizeN/A

Enrolment information

Subject Instance Co-ordinatorNarwin Perkal

Class requirements

Unscheduled Online Class Week: 10 - 22
One 2.0 hours 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)"

Practical Week: 10 - 22
Two 1.0 hours 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."

WorkShop Week: 10 - 22
One 1.0 hours workshop per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.

Assessments

Assessment elementComments% ILO*
Eight 10-min online quizzes (1200 words equivalent total)15 06, 05, 04, 03, 01, 02
One 1.5-hour examination (1500 words equivalent)55 07, 01, 02, 03, 04, 05, 06
Three 30-min tests (1500 words equivalent total)30 07, 01, 02, 03, 04, 05, 06