Evolution of MAT1 Course at DTU through the Years
Explore the transformation of the MAT1 course at DTU over two decades, from incorporating software applications to real-world scientific cases. Discover the custom projects, thematic exercises, and continuous relevance of the curriculum in bridging the gap between high school and university mathematics.
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MY OWN BACKGROUND In 2001: 15 years: High school teacher (Math , English and Computer Science) 10 years: TA at Copenhagen University Interest in bridge-building between high school to university Interest in applying CAS to investigate mathematical applications
MAT1 WAS GIVEN A MAJOR OVERHAUL IN 2001 Maple6 (2000) - trying to stike a balance between working with the basics of math (reading textbooks and doing exercises using only pen and paper) and applying software (Maple) to reach further: Using CAS, finding numerical solutions and making 3D illustrations with Integrator - package for Maple The 3-weeks spring project: groups working with real scientific cases: RSA-cryptology, Halbach magnet architecture, Internet search algorithms, Physical of solid constructions, Precision of GPS-systems, Electrical networks, Train kinematics, Oscilations in grid constructions and many more Theme exercises: Linked to the syllabus showing practical applications
MAT1: SAME-SAME BUT VERY DIFFERENT! Mat1 still has the same general organization: Mat1 is the Math course for all 1st-year students no matter which programme they are in Lectures and class activities twice weekly: The structure consists of a 13-week autumn semester and a 13-week spring semester The syllabus is the same: The autumn semester: An introduction to complex numbers, Classic Linear Algebra: Matrices, Vector Space, Linear Mapping, Eigenvectors, Diff. Equations The spring semster: Functions of more variables, Taylor approximation and Vector Calculus
Studieintro-uge. Ingen matematikundervisning Autumn semester 2003 SEMESTERUGE Datoer EMNE L REBOG PRAKTISKE FORHOLD UGE-SEDLER 1 - 1.-5. sept. Lav selv quiz i stof fra gymnaiset. 2 - 8.-9. sept. Line re lignings-systemer, matrix algebra En illustration af Gauss-algoritmen kan findes her. LA afsnit 1.1-1.5, 2.1 og 2.2 til og med side 55 P store dag: aktivitets - timer i klasselokale, klassel rer afhenter stud., derefter databar resten af eftermiddagen [2.ps], [2.pdf] [maple.ps] [maple.pdf] 3 - 15.-29. sept. Matrix algebra, determinanter LA afsnit 2.3, 3.1, 3.2 Lille dag er til studie - intro. Ingen matematik torsdag og fredag. [3.ps] [3.pdf] 4 - 22.-26. sept. Vektorrum LA afsnit 5.1, 5.2, 5.3, 5.4 [4.ps] [4.pdf] 5 - 29 .sept.-3. okt. Komplekse tal MA1 afsnit 4.1-4.4 Miniprojekt [komplex.ps] [komplex.pdf] 6 - 6.-10. okt. Komplekse tal MA1 afsnit 4.1-4.4 Miniprojekt . 13.-17. okt. 7 - 20.-24. okt. Efter rsferie Line re afbildninger . LA afsnit 6.1, 6.2 og MA1 afsnit 5.3 . Lille dag er til studie - intro. Ingen matematik torsdag og fredag. . [7.ps] [7.pdf] 8 - 27.-31. nov. Line re afbildninger og basisskifte LA afsnit 5.5, 6.1-6.3 P lille dag er forel s- ningstiden til studie - intro. Efterf lgende klassetime er til MAT1 som s dvanlig. [8.ps] [8.pdf] 9 - 3.-7. nov. Egenv rdier LA afsnit 7.1-7.3 [9.ps] [9.pdf] 10 - 10.-14. nov. Line re differentialligninger MA1 afsnit 1.3, 1.5 og 5.1-5.4. LA afsnit 7.4 Store dag: aktivitetsti- mer i databar til 13.30 - derefter klassetimer i klasselokalet. [10.ps] [10.pdf] 11- 17.-21. nov. Line re differentiallign., element re funkt., simpel int.teknik MA1 afsnit 5.4, 2.2, 2.3, 2.5 og 3.1-3.4 [11.ps] [11.pdf] 12 - 24.-28. nov. Funktioner af flere variable MA2, Kapitel 1, 2 og 3 [12.ps] [12.pdf] 13 - 1.-5. dec. Funktioner af flere variable MA2, Kapitel 3. Repetition [13.ps] [13.pdf]
2009 - AN NEW BEGINNING Introduction of a digital web-based platform: eNotes instead of books a total rewriting of the syllabus (same topics!) Video introductions Modernized teaching materials were more accessible and exercises had hints and solutions to support self-study in the Databars.
A catchy phrase: The students read less and understand more! MONA 2009 a periodical about teaching mathematics and the natural sciences
Students working with books and Maple in the DTU-Databar approx. 10 years ago
The modern study environment
2016 CUTS TO TA-JOBS Austerity measures in the education sector meant that Mat1 TA-support was cut by 1/3 Students experienced less TA-presence and had to take on more responsibility With the digital platform it was possible to soften the blow : MapleTA (= the new TA) The Weekly Test is self-evaluating Online video lectures Advanced Maple in the core syllabus was toned down More focus on methods and argument
2020-2021- CORONA TIMES Divine providence: Because of more than a doubling of student intake since 2001 the video lectures had already become an integral part of life for many students All teaching materials were already online. DTU had an excellent zoom-subscribtion Online exams were tested and work well Oral group project exams were held
CONSTANT DEVELOPMENT Teaching materials Teaching platforms Teaching environment/new buildings/new campuses Student uptake has more than doubled, varied grade boundaries for different/new programmes: Artificial Intelligence, Physics/NanoTech, Life Science, General Engineering (English) New exam format: MapleTA, Essay-writing Varied student prerequisites - exemplfied: My answer is but on the homepage it says How do I simplify the fraction Is it true ?
