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Discover concepts and techniques relating to integration and how they can be applied to solve real world problems.
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This course is part four of the MathTrackX XSeries Program which has been designed to provide you with a solid foundation in mathematical fundamentals and how they can be applied in the real world.
This course will cover basic concepts and techniques relating to integration, another fundamental tool of calculus. Integration is key to understanding the accumulation of a quantity given its rate of change.
Guided by experts from the School of Mathematics and the Maths Learning Centre at the University of Adelaide, this course will cover concepts and techniques to provide a foundation for the applications of differentiation in STEM related careers and/or further study at the undergraduate level.
Join us as we provide opportunities to develop your skills and confidence in applying mathematics to solve real world problems.
The concept of anti-derivative as the reverse of differentiation
How to calculate the anti-derivative of polynomials and special functions
How to calculate definite integrals and their relation to areas under graphs
Applications of integration to calculating areas and solving problems in kinematics.
Week 1: Anti-differentiation
Week 2: Definite integrals
Week 3: The fundamental theorem of calculus
Understand and apply the fundamental theorem of calculus to calculate definite integrals.
Week 4: Applications of integration
Apply integration to solve problems relating to areas between prescribed curves, basic motion/mechanics and initial value problems.
Week 5: Assessment
There is a timed exam.
