MAT 243 (section 5) - Calculus in Several Variables

Course Timetable

This table will be used to signify what has been covered in class, as well as supplying any additional information as it is required. I will try to update this at least weekly so that you can plan your reading to prepare for classes.

Week CommencingSections CoveredNotes
09/07
  • 12.1 Functions of two variables.
Classes start 09/10
09/14
  • 12.2 Graphs and surfaces.
  • 12.3 Contour diagrams
09/21
  • 12.4 Linear functions
  • 12.5 Functions of three variables
09/28
  • 12.6 Continuity and limits in several variables
  • 13. 1 Displacement vectors
10/05
  • 13.2 Vectors in general
  • 13.3 The dot product
10/12
  • 13.3 The dot product
  • 13.4 The cross product
10/19
  • 14.1 The partial derivative
  • 14.2 Computing partial derivatives algebraically
10/26
  • 14.3 Local linearity and the differential
  • 14.4 Directional derivatives and the gradient
Midterm Review on 10/29
11/02
  • Midterm on 11/03
  • 14.5 Gradients and derivatives in 3-space
11/09
  • 14.6 Chain rule
  • 14.7 Second order partial derivatives
11/16
  • 15.1 Critical points
  • 15.2 Optimisation
11/23
  • 15.3 Constrained optimisation and Lagrange multipliers
No class 11/26 (Thanksgiving!)
11/30
  • 15.3 Constrained optimisation and Lagrange multipliers
  • 16.1 The definite integral
  • 16.2 Iterated integrals
12/07
  • 16.2 Iterated integrals
  • 16.3 Triple integrals
  • 16.4 Double integrals with polar coordinates
  • 16.5 Integrals with cyclindrical coordinates.
Final week of classes