Pensum

  • From the book Flervariabel analyse med lineær algebra av Lindstrøm og Hveberg:
    • Chapter 1
    • Chapter 2
    • Chapter 3.1-3.5 og 3.7-3.9
    • Chapter 5.7-5.10 (uten 5.7.2, 5.10.2)
    • Chapter 6.1-6.15 (6.6, 6.8 supplementary reading)
  • MATLAB is not part of the curriculum.
  • All exercises are part part of the curriculum.

Tempoplan

Dette er foreløpige tempoplanen. Endelig pensum blir fastsatt på slutten av semesteret.

Week Dates Chapter Theme Comment
2 10.01.
13.01.
1
2
Repetition Linear Algebra
Multivariable functions; Continuous functions

Repetition 13/01
3 17.01.
20.01.
2
2
Limits
Derivatives of scalar valued functions
Repetition 17/01
Repetition 20/01
4 24.01.
27.01.
2
2
Directional derivatives
Partial derivatives of higher orders; Derivatives of vector valued functions
Repetition 24/01
Repetition 27/01
5 31.01.
03.02.
2
2
Chain rule
Linearization
Repetition 31/01
Repetition 03/02
6 07.02.
10.02.
3
3
Parameterized curves; Mean value theorem
Line integral for scalar valued functions
Repetition 07/02
Repetition 10/02
7 14.02.
17.02.
3
3
Line integrals for vector fields, Gradients and conservative fields
On the geometry of scalar valued functions
Repetition 14/02
Repetition 17/02
8 21.02.
24.02.
3
5
Parameterized surfaces
Implicit function theorem
Repetition 21/02
Repetition 24/02
9 28.02.
03.03.
5
5
Extreme values
Lagrange multiplier method
Repetition 28/02
Repetition 03/03
10 07.03.
10.03.
6
6
Double integrals over rectangles
Double integrals over bounded domains
Repetition 07/03
Repetition 10/03
11 14.03.
17.03.
6
6
Change of variables theorem for double integrals
Applications of double integrals
Repetition 14/03
Summary 17/03
12 21.03.
24.03.
6
6
Greens' theorem
Triple integrals
Repetition 21/03
Repetition 24/03
13 28.03.
30.03.
6
6
Change of variables theorem for triple integrals; Applications of triple integrals
Surface integrals of vector fields; Divergence and curl
14 04.04.
07.04.
6
6
Divergence theorem
Stokes' theorem
Repetition 04/04
16 21.04.
17 25.04.
2017-05-12, gabribr