Pre-requisites

MT560 Basic Calculus

Co-requisites

None.

Learning Outcomes

On successful completion of this unit, the student will be able to:

• Apply and justify appropriate differential techniques (Chain, Product, Quotient Rules) to solve first- and second-order equations in theoretical and applied contexts.

• Evaluate integrals using first principles, substitution, and integrating factors, and interpret their significance in applied modelling.

• Analyse and solve complex physics-based problems using integral and differential calculus, including real-world applications.

• Construct and manipulate matrices (2x2, 3x3, n-by-n) to compute determinants, inverses, and solve linear systems using Gaussian Elimination.

• Apply vector operations including dot and cross products to analyse mechanical, structural, and dynamic physical systems.

Unit Description

This unit builds on MT560 Basic Calculus by expanding the types of operations performed and representations of physical reality including differentiation, integration, vectors and matrices.

Topics

• Differentials: Chain Rule, Product Rule and Quotient Rule
• Integration by First Principles, Integration by Substitution and Integrating Factors
• Vector Mathematics
• Matrix Manipulation

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Unit offerings

Please note

The Unit Offerings listed above are a guide only and the timetable for any year is the final authority. The College may vary offerings based on demand, regulatory requirements, continual improvement processes or other conditions.

This unit may be available in different modes of delivery i.e. online and face-to-face as listed above. The unit content will not differ between these modes of delivery. There will possibly be a difference in the schedule and/or the prescribed assessment tasks, however both will cover and assess the same content.