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M12B - Functions of Real Variables

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This course uses the following course codes:
  • MATH 1150
  • M12B

Number of credits: 6

This course has the following prerequisites:

This course has no corequisites.

The assessment for the course is as follows:

This course has coursework assessment.

In course assignments weight: 25%

Final exam: 75%

Course syllabus

  • Logic

  • Functions and Inverse Functions

  • Limits, continuity and differentiability

  • Indeterminate forms

  • Maxima and Minima, Rolle, Mean-Value and Taylor's Theorems

  • Polar coordinates

  • Parametric representation and sketching of curves

  • Arc Length

  • The definite integral, primitives and methods of integration

  • Ordinary differential equations - first and second order

  • Methods of undermined coefficients (repeated roots included) and reduction of order

  • Introduction to partial derivatives


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