After this course you will be well prepared to start your university calculus course. You will learn to understand the necessary definitions and mathematical concepts needed and you will be trained to apply those and solve mathematical problems. You will feel confident in using basic mathematical techniques for your first calculus course at university-level, building on high-school level mathematics. We aim to teach you the skills, but also to show you how mathematics will be used in different engineering and science disciplines.
This is a self-paced course consisting of 6 modules (or weeks) and 1 final exam. The class will consist of a collection of 3-5 minute lecture videos, inspirational videos on the use of mathematics in Science, Engineering and Technology, (interactive) exercises, homework and exams.
Exercises, homework and the exams will determine the final grade. The course material will be available for the students online and free of charge.
What you'll learn:
- Understand, visualize and manipulate different elementary functions, like powers, roots, polynomials, trigonometric functions, exponential and logarithmic functions.
- Understand, visualize and solve equations and inequalities involving these elementary functions.
- Understand the concept of differentiation and to calculate the derivatives of compositions of elementary functions.
- Understand the concept of integration and to use some elementary integration techniques