Advanced Mathematics 2 - Math Training Courses Online | Alison

Advanced Mathematics 2

Gain a better understanding of differential equations, kinematics, vector calculus, and dynamics, with this math course.

Core Maths Skills
Free Course
This free online maths course completes our suite of upper-secondary maths courses. It starts by teaching you important tips and about some of the common mistakes that students make when answering questions in math exams. You will study differential equations, kinematics, vector calculus, and dynamics. This course will also cover Newton's laws of motion, Newton's laws of cooling, Euler's method for solving differential equations, and more.
  • Duration

    1.5-3 Hours
  • Assessment

  • Certification

  • Publisher






View course modules


This course begins by teaching you how to successfully complete mathematics exams. You will then study differential equations which are mathematical equations that relate a function to its derivatives. You will also study the use of the second derivative, kinematics including how to find displacement from velocity and acceleration, and motion under a constant force and motion under a variable force. This course will then present you with advanced mathematics problems covering chemical concentrations and chemical reactions.

You will then study the resolution of forces which include static friction and angle of friction. You will look into vectors and learn how to find a cartesian equation and use a graphic calculator with parametric equations. You will also learn how to calculate the closest distance to a path. This course will then cover the differentiation and antidifferentiation of vectors including the notations used in vector calculus.

In this modern world where advanced-technology thrives, deeper knowledge in higher-level maths is crucial to success in many fields. This Advanced Mathematics course will ensure that your math skills are a cut above your peers, that your next maths exam is a little bit easier, and that this fascinating and important field of study becomes a lot more open to you. Start your next learning journey, today.

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Differential equations

Common exam mistakes

Successfully completing mathematics exams



Advanced Mathematics: Problems

Resolution of forces

Second derivatives

Vectors 2



Learning Outcomes

Upon completion of this course you will effectively learn the most important factors to be considered when answering questions in a maths exam. You will be aware of the most common mistakes in maths exams.

You will gain a good knowledge of first and second order differential equations and second derivatives. You will learn about kinematics including acceleration, distance and velocity. You will understand Newton's laws of motion, Newton's laws of cooling, and Euler's method for solution of differential equations.

This course will teach you the resolution of forces and how to calculate vectors.


All Alison courses are free to enrol, study and complete. To successfully complete this Certificate course and become an Alison Graduate, you need to achieve 80% or higher in each course assessment. Once you have completed this Certificate course, you have the option to acquire an official Certificate, which is a great way to share your achievement with the world. Your Alison Certificate is:

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