Analysing Functions


Learn the foundations of Calculus and gain a visual understanding of mathematical expressions and sketching functions without any technology.

Created By

Simeon H

Beginner
Exercise

5 HOURS

5 LESSONS

Analysing Functions

undergraduates

Course Overview



This course teaches the foundations needed to study calculus and would therefore be appropriate to students who are about to start their A-Levels or IB diploma, or are in the first year of these programs. The study of functions is one of the most fundamental area of mathematics, as they are at the heart of every topic in advanced mathematics and this course would be most suitable for students seeking a technology-related degree. At the beginning, the general properties of functions will be discussed and with each lesson a new type of function gets introduced. Students will see that although functions can greatly differ amongst each other, they all possess the same properties and can be generally treated the same. One of the most important skills students would gain from this course is a visual understanding of mathematical expressions and sketching functions without any technology.

Course Content



10 LESSONS

9 HOURS Total Length

Lesson 1

What Are Functions? (Covers Linear Functions)

60 minutes

Lesson 2

Quadratic Functions

60 minutes

Lesson 3

All You Need to Know About Functions

60 minutes

Lesson 4

Polynomial Functions

60 minutes

Lesson 5

Exponential Functions

60 minutes

Lesson 6

Euler’s Functions

60 minutes

Lesson 7

Trigonometric Functions

60 minutes

Lesson 8

Functions With Specials Forms and Asymptotes

60 minutes

Lesson 9

Transforming Functions

60 minutes

Key Skills


Graphs

Mathematical Analysis

Sketching

Modelling

Educator


Simeon H

Maths and Physics Educator

Simeon is a mathematics and physics Educator who brings his passion, knowledge and enthusiasm to every lesson, ensuring students are challenged and supported appropriately.