Here you find exercises and solutions about the start of higher mathematics. We will discuss some symbols, induction, and how to interpret inequalities.
Part 1 - Sum and Product Symbol
Let’s do some calulations with the sum symbol $\Sigma$ and the product symbol $\Pi$.
Other videos related to this topic:
Part 2 - Absolute value in inequalities
In this video, we look at a common problem about an inequality where the absolute value of real numbers is involved. We sketch he solution set and show how we can calculate it by consindering different cases.
Other videos related to this topic:
Part 3 - Binomial Coefficient
The binomial coefficient $\binom{n}{k}$, which is spoken as $n$ choose $k$, describes the number of subsets with $k$ elements of a set with $n$ elements.
Other videos related to this topic:
Part 4 - Proof by Induction
In this video, we will show how the standard induction proof works. We will write down three steps: base case, induction hypothesis, and induction step.
Summary of the course Exercises - Fundamentals
-
You can download the whole PDF here and the whole dark PDF.
-
You can download the whole printable PDF here.
- Ask your questions in the community forum about Exercises - Fundamentals.