This unit of study aims to provide a basic understanding of single variable calculus and its engineering applications. During classes students are encouraged to work in groups to apply techniques to the solution of mathematical exercises and basic engineering problems.
The unit begins with a consolidation of the student's knowledge of basic algebra including the solution of linear, polynomial, exponential and logarithmic equations. Calculus topics include limits, differentiation, integration, integration techniques, definite integral and the fundamental theorem of calculus. Applications of calculus include optimisation problems, related rates, area and volumes between curves; and separable first order differential equations.
The unit begins with a consolidation of the student's knowledge of basic algebra including the solution of linear, polynomial, exponential and logarithmic equations. Calculus topics include limits, differentiation, integration, integration techniques, definite integral and the fundamental theorem of calculus. Applications of calculus include optimisation problems, related rates, area and volumes between curves; and separable first order differential equations.
Unit details
Location:
Study level:
Undergraduate
Credit points:
12
Unit code:
VEN1101
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Learning Outcomes
| 1. | Solve and graph variety of mathematical functions. | ||
| 2. | Perform basic differentiation and integration. | ||
| 3. | Apply calculus techniques to engineering-related problems. |
Assessment
| Assessment type | Description | Grade |
|---|---|---|
| Assignment | Two sets of engineering related problems | 20% |
| Test | Three in-class tests/quizzes | 45% |
| Test | Final Test | 35% |
Required reading
There are no required textbooks for this unit. All notes, tutorials and any additional materials will be provided via the Learning Management System (VU Collaborate).
The following texts are recommended only:
The Calculus Lifesaver 1st ed
Adrian Banner (2017)
Princeton University Press
Calculus Volume 1
OpenStax (2018)
OpenStax CNX
Where to next?
As part of a course
This unit is studied as part of the following courses. Refer to the course page for information on how to apply for the course.
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