TMA4115 - Calculus 3, Spring 2014 - Categorisation of the exam problems
The following table puts every exam problem according to which part of the curriculum it tests you at. So say, during your exam preparations you find that you want to spend more time on 2nd order ODEs, then this table will help you find which exam problems you should try doing to get practice in ODEs.
| Category | Subcategory | Relevant exercises |
|---|---|---|
| Complex numbers | Complex equations and polynomials | spring14: 1, spring13: 6a, fall12: 1, spring12: 1, fall11: 1, kont11: 1, fall10: 1, kont10: 1, spring10: 1, spring09: 1, kont08: 1, fall07: 1, kont07: 1, spring07: 1, kont06: 1, fall05: 1, kont05: 1, kont04: 1, 2 |
| Roots | kont12: 1, spring11: 1, fall09: 1, kont09: 1, fall08: 1, spring08: 1, fall06: 1, spring06: 1, spring05: 1, fall04: 1, spring04: 1 | |
| Differential equations | 2nd order ODEs | spring14: 2, spring13: 2, fall12: 2, kont12: 2, spring12: 2,3, fall11: 3, kont11: 2, spring11: 2,3, fall10: 3, kont10: 3, spring10: 2, fall09: 2, kont09: 2, spring09: 2, fall08: 2, fall07: 2, spring07: 2, kont06: 2, spring05: 2, fall04: 2, kont04: 3, 4 |
| with variation of parameters | spring14: 3, kont13: 1, kont11: 3, kont10: 4, spring10: 3, fall09: 3, kont09: 3, spring09: 3, fall08: 3, kont08: 2, spring08: 2, fall07: 3, kont07: 2, spring07: 2, fall06: 2, kont06: 3, spring06: 2, fall05: 2, kont05: 3, spring04: 3 | |
| Damped oscillations | kont12: 3, fall11: 1, fall10: 2, kont10: 2, spring10: 4, spring09: 4 | |
| Linear algebra | Solving matrix equations | spring14: 5, kont13: 1,spring13: 5, spring13: 6b, fall12: 3, spring12: 6, kont11: 5, fall10: 4, kont10: 7, fall09: 5, kont09: 4, fall08: 3, kont08: 3, fall07: 4, kont07: 4, fall06: 4, kont06: 4, kont05: 4, kont05: 5a-b, spring05: 3a-b, 4, fall04: 3a, kont04: 7 |
| Linear transformations | spring13: 1, fall12: 4, kont12: 4, spring12: 5, fall11: 4c | |
| Bases and vector spaces | spring14: 4, spring13: 1, kont12: 5, fall11: 4a-b, kont11: 4, spring11: 4, fall10: 6, kont10: 5,6, spring10: 6, spring09: 5, fall08: 4, kont08: 4, spring08: 4, fall07: 5, kont07: 3, spring07: 4, fall06: 5, spring06: 3a-b, fall05: 3, fall04: 3b, kont04: 8, spring04: 5 | |
| Orthogonalisation | spring14: 6, spring13: 3, fall12: 5, spring11: 5, fall10: 5, fall09: 4, kont08: 6, fall07: 6, spring07: 5, spring06: 3c, fall05: 4, spring05: 3c, kont04: 9 | |
| Eigenvalues | General | kont13: 4, fall11: 6, fall09: 6, fall08: 5 |
| Markov chains | spring14: 7, fall12: 6,spring11: 6, kont08: 6, kont07: 5, fall05: 6 | |
| Diagonalisation and system of ODEs | spring14: 8, kont13: 2, spring13: 4, fall12: 7, kont12: 6, kont12: 7, spring12: 7, 8, kont11: 6, spring11: 7, spring10: 7, kont09: 5, spring09: 6, kont08: 5, spring08: 5, fall07: 7, kont07: 6, spring07: 6, kont06: 4, spring06: 5, fall05: 4, kont05: 5c-d, spring05: 6, fall04: 4, 5, spring04: 6 | |
| Least squares | spring14: 9, fall12: 8, spring12: 4, fall11: 5, kont06: 6 | |
| Quadratic forms | fall10: 7, kont10: 8, fall08: 6, fall06: 6, kont04: 10 | |
| Multiple choice and "true or false" | kont13: 5, spring13: 6c-d, spring10: 5, spring08: 3, fall06: 3, kont06: 5, spring06: 4, spring05: 5, spring04: 4 | |
| Proofs | spring14: 10, fall11: 7, kont11: 7, spring11: 8, kont10: 9, spring10: 8, fall09: 7, kont09: 6, spring09: 7, fall08: 7, kont08: 7, spring08: 6, kont07: 7, spring07: 7, fall06: 7, fall05: 7, kont05: 1, kont05: 6, spring05: 7, fall04: 6, kont04: 11, spring04: 7 | |
I hope that this table may be of some help to you in your exam preparations, and if you think some of the exercises are misplaced or you would like to have some other, additional categories, please feel free to send an email til trygve.baerland [at] gmail.com.