TOPICS, RELEASE DATES & RECOMMENDED DEADLINES
| Week | Topic |
|---|---|
| 1 |
Functions (part 1) In week 1 you will be introduced to mathematical modeling and the role of functions to model real-world phenomena. You will learn what a function is and how to describe a function in text, graph, table and formula. You will learn the characteristics of polynomials, rational functions and power functions and their rules of calculation. |
| 2 |
Functions (part 2) In week 2 you will familiarize yourself with other elementary functions: trigonometric functions (sine, cosine and tangent) and exponential functions and their inverse: logarithms. |
| 3 |
Equations (part 1) In week 3 you will learn the role of equations in mathematical modeling. You will learn to solve equations involving polynomials, fractions and square roots. You will also learn general techniques to solve equations. |
| 4 |
Equations (part 2) In week 4 you will solve equations involving trigonometric functions (sine, cosine and tangent) and exponential functions and logarithms. You will also learn to solve inequalities and systems of equations. |
| 5 |
Differentiation In week 5 you will be introduced to differentiation using speed and slope as an example. You will learn to calculate the derivative and practice with the rules of calculation. You will see applications of differentiation, especially to finding maxima and minima of functions. |
| 6 |
Integration In week 6 you will be introduced to integration. You will learn the definition and the fundamental theorem of Calculus that relates differentiation and integration. You will also practice with the rules of calculation for integrals. |
| 7 |
Geometry In week 7 you will be introduced to geometric tools like coordinates, vectors and parameterizations. You will learn how to use those to describe curves in the plane and to compute geometric quantities likes angles and distances. You will also see applications, such as the description of dynamics of physical systems. |
| 8 |
Exam The course finishes with a final exam. |
Deadline
The course has only 1 deadline: May 31st 2020, 23.30 hours UTC (Universal Time Coordinated). At that moment the final scores for the exercises, homework and final exam are counted and the certificates are issued to those with sufficient scores. However we recommend to make your own planning and set intermediate deadlines well in advance of the final deadline.
Main learning objectives
By the end of the course, you will be able to:
- Manipulate elementary functions, like power functions, rational functions, polynomials, trigonometric functions, exponential and logarithmic functions. (Weeks 1 and 2)
- Solve equations and inequalities involving these elementary functions. (Weeks 3 and 4)
- Use the concept of differentiation and calculate the derivatives of compositions of elementary functions. (Week 5)
- Use the concept of integration and use some elementary integration techniques. (Week 6)
- Visualize and manipulate geometric objects in the plane, such as vectors, lines, circles and more general curves. (Week 7)
Grading & Certification
This course contains several types of assignment activities:
- Exercises
- Homework
- Training sequence
- Final exam (only visible in Verified Track)
The exercises are given after videos to practice immediately with the content. The homework problems are positioned at the end of each week. Every week also contains a training sequence, which can be used for extra practice. The final exam is in week 8 and contains problems on all the topics. It is only visible in the Verified Track. Only the final exam will contribute to the final grade.
Upgrading to a Verified Certificate gives you:
- a certificate if you successfully completed the course;
- access to graded assignments;
- access to the archived course after the end date.
These certificates will indicate you have successfully completed the course, but will not include a specific grade. Certificates will be issued by edX under the name of DelftX, designating the institution from which the course originated.
Do you need financial assistance? EdX offers up to a 90% discount on our verified certificates to learners who cannot afford to pay full price. Check the edX support page for financial assistance.
The verified certificate is issued if your total score is 60% or more. Your final grade will be your calculated score percentage. The verified certificate will be issued on the week after the course ends.
You can check your grade at any time under the course’s Progress Tab.
Remember, you have until Mat 31st 2020, 23.30 hours UCT to finish all the modules and tests.
Please note that this MOOC is not part of a formal deficiency program or will lead to exemptions of certain deficiencies if you want to enrol in a bachelor program at the TU Delft.
Workload
The estimated workload for this course is 6 to 8 hours per week, so about 50 hours in total.
teachers
Prerequisites
The aim of this course is to review important topics in high school level mathematics. As such, we assume high school mathematics as prerequisite.
License
The course materials of this course are Copyright Delft University of Technology and are licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International.
If you choose to reuse or repost DelftX course materials you must give proper attribution to the original TU Delft faculty author(s). Please utilize the following citation "This material was created by or adapted from material posted on the Delftx website, delftx.tudelft.nl, and created by TU Delft faculty member (Name), (Title), (Year). DelftX is not responsible for any changes made to the original materials posted on its website and any such changes are the sole responsibility of [name of user/adapter]."
You must also include a copy of the Creative Commons license used by DelftX, with every copy of the TU Delft materials or the derivative work you create from it.
