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Beginner Calculus

Master the basics of Calculus from Precalculus Algebra through to Differentiation and Integration.
4.1 (11 ratings)
Instead of using a simple lifetime average, Udemy calculates a course's star rating by considering a number of different factors such as the number of ratings, the age of ratings, and the likelihood of fraudulent ratings.
62 students enrolled
Last updated 2/2016
English
$15 $20 25% off
30-Day Money-Back Guarantee
Includes:
  • 1.5 hours on-demand video
  • 12 Supplemental Resources
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
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Description

Ever wondered what Calculus really is? In this course, you will learn to master the basics of Calculus. This introductory calculus course will introduce you to the terminology, methods and tricks to become a successful Calculus student.

Master Calculus and Pre-Calculus Algebra

The course is structured with:

  • Pre-calculus algebra such as solving linear, polynomial and trigonometric expressions.
  • Differentiation of most simple functions using both first principles and derivative rules.
  • Integration of polynomial, trigonometric and exponential functions using integration rules.

Course Includes Fully Worked Solutions and Video Examples

I have designed this course to be perfect for beginners and will take you through everything that you need. This easy to follow course includes 2 hours of video to teach you the concepts, narrated examples to demonstrate Calculus techniques, practice problems with fully worked solutions and quizzes which assess student's abilities to understand and use the concepts on their own.

By the end of this course, you will be able to understand and interpret algebraic, differentiation and integration processes. This will provide you with a solid foundation in Calculus for you to be able to progress your studies with further Calculus courses.

Who is the target audience?
  • High School Students
  • First year University Maths Students
  • People wishing to refresh their Maths from High School
Students Who Viewed This Course Also Viewed
What Will I Learn?
Pre-Calculus Algebra Manipulation and Solving Equations
Interpret and Understand Function Graphs
Differentiate To Find Gradient Functions
Evaluate both Indefinite and Definite Integrals
View Curriculum
Requirements
  • Basic Algebra Skills
  • A scientific calculator is recommended
Curriculum For This Course
Expand All 25 Lectures Collapse All 25 Lectures 02:04:04
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Introduction
2 Lectures 02:21

Introduction video providing background for the course and information on the topics involved.

Preview 02:21

PDF Version of the Introduction Video

Introduction PDF
7 pages
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Algebra
4 Lectures 16:19

Techniques for solving algebraic equations such as linear, quadratic, log, exponential and trigonometric equations.

Preview 10:34

Example solutions to linear, quadratic, logarithmic, exponential and trigonometric equations.

Algebraic Equation Examples
05:45

Questions for you to practice algebraic manipulation and solving equations.

Algebra Practice Problems
1 page

Worked Solutions for the Algebra Practice Problems

Algebra Worked Solutions
5 pages

Test your knowledge by solving some Algebraic Equations.

Algebra Skills Quiz
6 questions
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Graphing
5 Lectures 19:14

Teaches you the basics of graphing functions of x and y.

Graphing Basics
08:36

This video explores how to take simple functions and alter and translate them into more complicated ones graphically.

Graphing Examples
06:44

Practice problems to help you develop graphing skills

Graphing Practice Problems
1 page

Worked solutions to the practice problems.

Graphing Worked Solutions
17 pages

In this video we look at what limits are and some special ways to denote functions.

Limits and Function Notation
03:54
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Differentiation
6 Lectures 18:30

Shows how to differentiate a general function from first principles.

Differentiation From First Principles
02:21

Examples to help you differentiate functions from first principles

Preview 02:34

This video explores how to use differentiation rules to make calculus much faster and easier

Differentiation Rules
06:27

Examples to help you understand how to apply differentiation rules to example functions.

Differentiation Rules Examples
07:08

Practice Differentiation questions

Differentiation Rules Practice Problems
1 page

Worked solutions for the practice problems on differentiation rules

Differentiation Rules Worked Solutions
6 pages
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Integration
4 Lectures 12:38

This video covers the basics of integration and demonstrates some integration rules which will be used in future videos.

Integration Basics
06:53

This video addresses integrating exponential and trigonometric functions which include linear functions of x

Advanced Integration Techniques
05:45

Practice your integrations skills

Integration Practice Problems
1 page

Worked solutions for the integration practice problems

Integration Worked Solutions
2 pages
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Definite Integrals
4 Lectures 09:02

This video explores the fundamental theorem of calculus and shows how to calculate the area under curves between limits.

Preview 04:40

In this video, I work through some examples of definite integrals ranging from linear to trigonometric functions.

Definite Integral Examples
04:22

A set of practice problems on evaluating your definite integral skills.

Definite Integral Practice Problems
1 page

Worked solutions to the practice problems for definite integration.

Definite Integral Worked Solutions
4 pages

Test your knowledge of definite integrals.

Definite Integration Quiz
4 questions
About the Instructor
4.1 Average rating
11 Reviews
62 Students
1 Course
Maths and Science Tutoring Website

Hi, I'm Nick, creator of How To Know Everything. After being employed as a tutor for a few years and from my studies as a Civil Engineer, I have developed experience tutoring students in both beginner and advanced courses in Mathematics, Chemistry, Physics and Engineering Sciences.

My students typically obtain high results and show positive improvement throughout the courses. I aim to deliver the best in online learning at a reasonable price and take pride in creating high-quality content for students.


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