FUNCTIONS - WEEK 2
1. Trigonometric functions
Video links
Trigonometric functions: denitions
Trigonometric functions: rules of calculation
When working with the trigonometric functions sin(x), cos(x) and tan(x), it is
often useful to simplify them using

EQUATIONS - WEEK 3
1. Equations involving polynomials
Video links
Equations involving polynomials I
Equations involving polynomials II
An equation of degree 2 written in standard form
ax2 + bx + c = 0
(1.1)
can be solved using the quadratic formula. We

EQUATIONS - WEEK 4
1. Equations involving trigonometric functions
Video links
Equations involving trigonometric functions
sin(x) = c: if x = is a solution, then x = + 2k and x = + 2k
are also solutions for all integers k.
cos(x) = c: if x = is a soluti

DIFFERENTIATION - WEEK 5
1. The derivative and the tangent line
Video links
Explaining the concept
The tangent line
Non-dierentiable functions
Let A = a, f (a) be a point on the graph of a function f . We want to nd the
slope s of the tangent line at A

INTEGRATION - WEEK 6
1. Riemann sums and the integral
Video links
Dening the concept
What does the integral mean?
Let f be a bounded function on an interval [a, b]. For the moment we assume
that f takes only positive values on this interval. We want to