Dr. J. Coetzer

Toegepaste Wiskunde / Applied Mathematics B 252

2016


Kursus-inligting
Course Information
Assesseringsreglement
Assessment Rules
Info: Skuifies / Slides

Toegepaste Differensiaalvergelykings

Applied Differential Equations



LESINGS      LECTURES

Hierdie transparante en skuifies bevat nie noodwendig al die werk wat in die klas bespreek is nie.
These transparencies and slides do not necessarily contain all the work discussed in class.


WEEK 1
(2016-07-18 - 2016-07-22)

EERSTE ORDE GEWONE DVs / FIRST ORDER ORDINARY DEs

DVs as wiskundige modelle / DEs as mathematical models

Transparante Transparencies Skuifies / Slides
(1.3)  DVs as wiskundige modelle (1.3)  DEs as mathematical models Skuifies / Slides

Lineêre modelle / Linear models

Transparante Transparencies Skuifies / Slides
(2.7)   Lineêre modelle (2.7)  Linear models Skuifies / Slides
(1.3, 2.7)   Bevolkingsgroei (1.3, 2.7)  Population growth Skuifies / Slides


WEEK 2
(2016-07-25 - 2016-07-29)

Transparante Transparencies Skuifies / Slides
(1.3, 2.7)   Radio-aktiewe verval (1.3, 2.7)  Radioactive decay Skuifies / Slides
(1.3, 2.7)   Saamgestelde rente (1.3, 2.7)  Compound interest Skuifies / Slides
(1.3, 2.7)   Mengsels (1.3, 2.7)  Mixtures Skuifies / Slides


WEEK 3
(2016-08-01 - 2016-08-05)

Transparante Transparencies Skuifies / Slides
(1.3, 2.7)   Vryval teen lugweerstand I (1.3, 2.7)  Free-fall against air resistance I Skuifies / Slides

Nie-lineêre modelle / Non-linear models

Transparante Transparencies Skuifies / Slides
(2.8)   Logistiese bevolkingsgroei (2.8)  Logistic population growth Skuifies / Slides


WEEK 4
(2016-08-08 - 2016-08-12)

Transparante Transparencies Skuifies / Slides
(1.3, 2.8)   Dreinering van 'n silindriese tenk (1.3, 2.8)  Drainage of a cylindrical tank Skuifies / Slides


WEEK 5
(2016-08-15 - 2016-08-19)

Transparante Transparencies Skuifies / Slides
(1.3, 2.8)   Dreinering van 'n hemisferiese tenk (1.3, 2.8)  Drainage of a hemispherical tank Skuifies / Slides
(1.3, 2.8)   Vryval teen lugweerstand II (1.3, 2.8)  Free-fall against air resistance II Skuifies / Slides


TWEEDE ORDE GEWONE DVs / SECOND ORDER ORDINARY DEs


Transparante Transparencies Skuifies / Slides
(3.3)   Paragraaf 3.3 (3.3)  Paragraph 3.3 Skuifies / Slides


WEEK 6
(2016-08-22 - 2016-08-26)

Lineêre modelle: aanvangswaardeprobleme / Linear models: initial-value problems

Toepassing: vibrasies soos in TWB224 bespreek. Vibrasies word dus nie weer in TWB252 bespreek nie.
Application: vibrations as discussed in TWB224. Vibrations are therefore not discussed again in TWB252.

Lineêre modelle: randwaardeprobleme / Linear models: boundary-value problems

Aanvullende aantekeninge tot Zill en Cullen: Afdeling 3.9
Supplementary notes to Zill and Cullen: Section 3.9

Transparante Transparencies Skuifies / Slides
(3.9)   Uitwyking van 'n belaste balk (3.9)  Deflection of a loaded beam Skuifies / Slides

Balke: uitgewerkte voorbeelde / Beams: worked examples


WEEK 7
(2016-09-12 - 2016-09-16)

Transparante Transparencies Skuifies / Slides
(3.9)   Eiewaardes en eiefunksies (3.9)  Eigenvalues and eigenfunctions Skuifies / Slides
(3.9)   Knikking van 'n kolom (3.9)  Buckling of a column Skuifies / Slides
(3.9)   Roterende tou (3.9)  Rotating string Skuifies / Slides


WEEK 8
(2016-09-19 - 2016-09-23)

Nie-lineêre modelle / Non-linear models

Transparante Transparencies Skuifies / Slides
(3.11)   Kettinglyne (3.11)  Catenaries Skuifies / Slides
(3.11)   Kettinglyne II (3.11)  Catenaries II Skuifies / Slides


WEEK 9
(2016-09-26 - 2016-09-30)

PARSIËLE DVs / PARTIAL DEs

Transparante Transparencies Skuifies / Slides
(13.1)   Skeibare PDVs (13.1)  Separable PDEs Skuifies / Slides
(13.2, 13.3)   Die hittevergelyking I (13.2, 13.3)  The heat equation I Skuifies / Slides

Hittevergelyking: definisies / Heat equation: definitions


WEEK 10
(2016-10-03 - 2016-10-07)

Transparante Transparencies Skuifies / Slides
(13.2, 13.3)   Die hittevergelyking II (13.2, 13.3)  The heat equation II Skuifies / Slides
(13.2, 13.3)   Die hittevergelyking III (13.2, 13.3)  The heat equation III Skuifies / Slides


WEEK 11
(2016-10-10 - 2016-10-14)

Transparante Transparencies Skuifies / Slides
(13.2, 13.4)   Die golfvergelyking (13.2, 13.4)  The wave equation Skuifies / Slides


WEEK 12
(2016-10-17 - 2016-10-21)

Transparante Transparencies Skuifies / Slides
(13.2, 13.5)   Laplace se vergelyking (13.2, 13.5)  Laplace's equation Skuifies / Slides



TUTORIALE      TUTORIALS

TUT 1 MEMO Toets/Test 1 2016-07-27
TUT 2 MEMO Toets/Test 2 2016-08-10
TUT 3 MEMO Toets/Test 3 2016-08-17
TUT 4 MEMO Toets/Test 4 2016-08-24
TUT 5 MEMO Toets/Test 5 2016-09-14
TUT 6 MEMO Toets/Test 6 2016-09-21
TUT 7 MEMO Toets/Test 7 2016-09-28
TUT 8 MEMO Toets/Test 8 2016-10-05
TUT 9 MEMO Toets/Test 9 2016-10-12
TUT 10 MEMO Toets/Test 10 2016-10-26



PUNTE      MARKS

Tutoriaaltoets 10 kan nagesien word indien nodig.

TUTORIALE EN ASSESSERING 1

Tutorial test 10 may be marked if required.

TUTORIALS AND ASSESSMENT 1



ASSESSERINGS 2 EN 3      ASSESSMENTS 2 AND 3

Die hele semester se werk word gedek.

The entire semester's work is covered.