Have you always been struggling to understand mathematics or have you never got the necessary routine to carry out basic mathematical manipulations? This is your opportunity to change that. Math101 is an activity you should consider, if you are determined to improve your basic mathematical skills that are required by the mathematical courses on your first year of study.
Maybe you are in doubt whether the activity is aimed at you. To find out, you can take this test, which you should be able to complete without the use of any aids and only with a few or no mistakes. The answers can be found here. If you had more than a couple of mistakes, or used more than two hours to complete the test, and are you determined to work with your basic mathematical skills, then you should consider following the Math101 activity. If you need another test, you can find one here. It is a bit more difficult and without answers.
Math101 is planed so that students with both A and B level from high school can attend. The activity consists of 9 sessions for all participants. In Aalborg, Math101 is available in Danish, whereas it is available in English in Esbjerg and Copenhagen. Part of the course material in Aalborg, however, will also be in English.
In Aalborg, the course material is found at the corresponding Moodle page.
To enrol in the course, please write an email to math101_tilmelding@staff.aau.dk.
Below, you will find supplementary material grouped by topic.
Topic 
Khan Academy 
Khan Academy exercises 
Webmatematik (Danish) 
Introduction to differential equations 
differentialequationintroduction findingparticularlinearsolutiontodifferentialequation 
hvaderdifferentialligninger goreprove 

Separable differential equations 
separabledifferentialequationsintroduction particularsolutiontodifferentialequationexample 
losningertildifferentialligninger eksponentielvakst inhomogenelineareforsteordensdifferentialligninger separationafvariable 

Modeling  newtonslawofcooling 
Topic 
Khan Academy 
Khan Academy exercises 
Webmatematik (Danish) 
Rules of integration and indefinite integrals 
antiderivativesandindefiniteintegrals indefiniteintegralsofxraisedtoapower antiderivativeofhairierexpression basictrigandexponentialantiderivatives 
antiderivatives indefiniteintegrals 
stamfunktion ubestemtintegral integreredefunktioner regnereglerforintegraler 
Definite integrals and area determination 
areaunderratenetchange simpleriemannapproximationusingrectangles riemannsumsandintegrals connectingthefirstandsecondfundamentaltheoremsofcalculus definiteintegralsandnegativearea integratingfunctionsums 
areaunderaratefunctionequalsnetchange areabetweenacurveandanaxis evaluatingdefiniteintegrals propertiesofintegrals 
bestemtintegralogareal arealmellemtografer 
Below, you will find supplementary exercises grouped by topic.
Exercise 5. Get together with another student that has finished the above exercises. Make $2 \times 5$ exercises of the same type as above and solve the exercises made by the other student. You have to be able to solve your own exercises, so you can give a hint to the other student if he/she cannot solve your exercises.
Exercise 5. Get together with another student that has finished the above exercises. Make $2 \times 5$ exercises of the same type as above and solve the exercises made by the other student. You have to be able to solve your own exercises, so you can give a hint to the other student if he/she cannot solve your exercises.
Exercise 7. Get together with another student that has finished the above exercises. Make $2 \times 5$ exercises of the same type as above and solve the exercises made by the other student. You have to be able to solve your own exercises, so you can give a hint to the other student if he/she cannot solve your exercises.
Exercise 6. Get together with another student that has finished the above exercises. Make $2 \times 5$ exercises of the same type as above and solve the exercises made by the other student. You have to be able to solve your own exercises, so you can give a hint to the other student if he/she cannot solve your exercises.
Exercise 6. Get together with another student that has finished the above exercises. Make $2 \times 5$ exercises of the same type as above and solve the exercises made by the other student. You have to be able to solve your own exercises, so you can give a hint to the other student if he/she cannot solve your exercises.
Exercise 4. A $300$ m long fence must enclose a rectangular area. Determine the lenght of the sides in the rectangle, so that the area is as large as possible.
Exercise 5. A $300$ m long fence must enclose a rectangular area. One side is along a river, so the fence is only needed on three sides. Determine the lenght of the sides in the rectangle, so that the area is as large as possible.
Exercise 6.An open box must have a quadratic bottom and a volume of $5000 cm^3$. Determine the side length of the bottom of the box and the height, so that the surface area is as small as possible.
Exercise 7.A rectangle is inscribed into a halfcircle with radius 12 m. Determine the length and width of the rectangle, so its area is as large as possible.
Exercise 8. Get together with another student that has finished the above exercises. Make $2 \times 5$ exercises of the same type as above and solve the exercises made by the other student. You have to be able to solve your own exercises, so you can give a hint to the other student if he/she cannot solve your exercises.
Exercise 5. Find the constants $a$ and $b$ so the function $f(x)=ax+b$ is a solution for the differential equation $y'y=2x3$.
Exercise 6. Get together with another student that has finished the above exercises. Make $2 \times 5$ exercises of the same type as above and solve the exercises made by the other student. You have to be able to solve your own exercises, so you can give a hint to the other student if he/she cannot solve your exercises.
Exercise 6: Calculate the area bounded by the graph of the function $f(x)=9x^2$ and the first coordinate axis.
Exercise 7: Calculate the area bounded by the graphs of the functions $$f(x)=\frac{1}{4}x^2  2\quad \mbox{ and } \quad g(x)=x+1.$$
Exercise 8: Get together with another student that has finished the above exercises. Make $2 \times 5$ exercises of the same type as above and solve the exercises made by the other student. You have to be able to solve your own exercises, so you can give a hint to the other student if he/she cannot solve your exercises.