Calculus 1: The Complete Guide

Calculus 1: The Complete Guide, available at $44.99, has an average rating of 4.2, with 175 lectures, 8 quizzes, based on 62 reviews, and has 18112 subscribers.

You will learn about Pre-Calculus materials, including number sets, exponents, proof by induction All sorts of functions (polynomial, exponential, trigonometric, hyperbolic) Inverse functions, logarithms, complex numbers, Argand diagrams Euler's formula, multiplication of complex numbers, polar form, double-angle formulae, de Moivre's theorem, roots of unity and complex loci Limits, continuous functions, intermediate value theorem Sandwich theorem, logarithmic vs polynomial vs exponential limits, differentiation from first principles, product rule and chain rule Derivatives of implicit functions, inverse functions, parametric functions, differentiable functions Mean value theorem Integration, the Riemann integral, fundamental theorems of Calculus Indefinite and definite integrals, integration by substitution, integration by parts, recursion relations, partial fractions Volumes of revolution, length of a curve, infinite sums, convergence criteria, power series Taylor's theorem, l'Hôpital's rule This course is ideal for individuals who are High-school students preparing for Maths-related university degree or University students or Parents or tutors who are seeking an easy explanation to Maths to support your children or tutees or Students who are studying a course that requires some basic calculus knowledge or People who just miss studying Maths or love Maths or People who what to get into data science It is particularly useful for High-school students preparing for Maths-related university degree or University students or Parents or tutors who are seeking an easy explanation to Maths to support your children or tutees or Students who are studying a course that requires some basic calculus knowledge or People who just miss studying Maths or love Maths or People who what to get into data science.

Enroll now: Calculus 1: The Complete Guide

Summary

Title: Calculus 1: The Complete Guide

Price: $44.99

Average Rating: 4.2

Number of Lectures: 175

Number of Quizzes: 8

Number of Published Lectures: 174

Number of Published Quizzes: 8

Number of Curriculum Items: 183

Number of Published Curriculum Objects: 182

Original Price: $199.99

Quality Status: approved

Status: Live

What You Will Learn

Pre-Calculus materials, including number sets, exponents, proof by induction
All sorts of functions (polynomial, exponential, trigonometric, hyperbolic)
Inverse functions, logarithms, complex numbers, Argand diagrams
Euler's formula, multiplication of complex numbers, polar form, double-angle formulae, de Moivre's theorem, roots of unity and complex loci
Limits, continuous functions, intermediate value theorem
Sandwich theorem, logarithmic vs polynomial vs exponential limits, differentiation from first principles, product rule and chain rule
Derivatives of implicit functions, inverse functions, parametric functions, differentiable functions
Mean value theorem
Integration, the Riemann integral, fundamental theorems of Calculus
Indefinite and definite integrals, integration by substitution, integration by parts, recursion relations, partial fractions
Volumes of revolution, length of a curve, infinite sums, convergence criteria, power series
Taylor's theorem, l'Hôpital's rule

Who Should Attend

High-school students preparing for Maths-related university degree
University students
Parents or tutors who are seeking an easy explanation to Maths to support your children or tutees
Students who are studying a course that requires some basic calculus knowledge
People who just miss studying Maths or love Maths
People who what to get into data science

Target Audiences

High-school students preparing for Maths-related university degree
University students
Parents or tutors who are seeking an easy explanation to Maths to support your children or tutees
Students who are studying a course that requires some basic calculus knowledge
People who just miss studying Maths or love Maths
People who what to get into data science

Are you struggling with Mathematics?

Are you anxious about being behind in Maths class?

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Well, let me ask you instead:

How would you feel if Maths weren’t something you’re afraid of or struggling with anymore?

Instead of having to sit down after class trying to figure out what’s going on, what if you no longer have to do that because you clearly understand everything?

I, a newly graduate from Kings’s College London with a degree in Mathematics, first honours, will help you with that.

This Calculus I course is packed with videos, no more than 10 minutes each. For those longer videos, I suggest you sit through the whole video in one go, it will definitely be easier to understand, and pause before you move onto the next part unless you’ve fully understood the materials, otherwise the confusion will pile up. I’ve also included a bunch of definitions, theorems, quizzes, examples, concise notes for each section, exercises for every topic, and walkthrough of all weekly questions that will help you fully understand Calculus. Most importantly, I’ve done a BONUS section for you! It includes some additional questions and a cheat sheet that myself have used to get through the exam.

Calculus is the core of all other topics in Mathematics, and a good understanding of the basics is what is needed to help you get good at the more difficult topics. It’s very crucial to learn and understand the basics before you move on to harder materials. Everything has been broken down into simple structure to make learning and understanding easy for you. I will be sharing some of the tips that I have used in solving problems during university as well as my thought process as I approach each question. Feel free to leave questions in the Q&A section. I understand what it’s like to have to sit on unanswered questions and confusion for days, or perhaps weeks, so I will try and get back to you ASAP.

This COMPLETE guide is for those of you are looking to get a little bit of extra materials and are ready to fully commit to improving yourself. You’ve already shown half of your determination by looking at the course, so if this course sounds right for you, boost that up and join me on this journey!

Tips:

1) It will be very useful if you also take notes of your own as you’re watching the lectures, it will help you understand everything better and quicker. Just pause if I move on to other topics too fast or if you haven’t fully understood the previous sub-topic before you move on to the next parts.

2) Please ask any questions you may have in the Q&A section if you don’t understand. It’s one thing to not understand it, but it’s a whole new experience and a very important thing to do when learning Maths to be able to discuss it with fellow students who are going through the same thing.

3) Use headphones for better sound.

4) Don’t forget you can always slow down or speed up the video!

Course Curriculum

Chapter 1: Introduction

Lecture 1: Introduction

Chapter 2: Calculus I.1

Lecture 1: Calculus I.1: Number Sets

Lecture 2: Calculus I.1: Exponents or Powers of Real Numbers

Lecture 3: Calculus I.1: Solving Quadratic Equations

Lecture 4: Calculus I.1: Proof By Induction Pt.1

Lecture 5: Calculus I.1: Proof By Induction Pt.2

Lecture 6: Calculus I.1: Functions

Chapter 3: Calculus I.2

Lecture 1: Calculus I.2: Polynomial Functions

Lecture 2: Calculus I.2: Exponential Function

Lecture 3: Calculus I.2: Trigonometric Functions Pt.1

Lecture 4: Calculus I.2: Trigonometric Functions Pt.2

Lecture 5: Calculus I.2: Trigonometric Functions Pt.3

Lecture 6: Calculus I.2: Trigonometric Functions Pt.4

Lecture 7: Calculus I.2: Trigonometric Functions Pt.5

Lecture 8: Calculus I.2: Hyperbolic Functions Pt.1

Lecture 9: Calculus I.2: Hyperbolic Functions Pt.2

Lecture 10: Exercises I and Solutions I.1

Lecture 11: Solutions I.2

Lecture 12: Solutions I.3

Lecture 13: Solutions I.4

Lecture 14: Solutions I.5

Lecture 15: Solutions I.6

Lecture 16: Solutions I.7

Chapter 4: Calculus I.3

Lecture 1: Calculus I.3: Inverse Functions

Lecture 2: Calculus I.3: Logarithms Pt.1

Lecture 3: Calculus I.3: Logarithms Pt.2

Lecture 4: Calculus I.3: Complex Numbers Pt.1

Lecture 5: Calculus I.3: Complex Numbers Pt.2

Lecture 6: Calculus I.3: The Argand Diagram

Lecture 7: Exercises II and Solutions II.1

Lecture 8: Solutions II.2+3

Lecture 9: Solutions II.4

Lecture 10: Solutions II.5

Lecture 11: Solutions II.6

Chapter 5: Calculus I.4

Lecture 1: Calculus I.4: Euler's Formula Pt.1

Lecture 2: Calculus I.4: Euler's Formula Pt.2

Lecture 3: Calculus I.4: Multiplication and Division of Complex Numbers

Lecture 4: Calculus I.4: Polar Form Pt.1

Lecture 5: Calculus I.4: Polar Form Pt.2

Lecture 6: Calculus I.4: Double-Angle Formulae

Lecture 7: Calculus I.4: de Moivre's Theorem

Lecture 8: Calculus I.4: Roots of Unity

Lecture 9: Calculus I.4: Complex Loci Pt.1

Lecture 10: Calculus I.4: Complex Loci Pt.2

Lecture 11: Exercises III and Solutions III.1+2

Lecture 12: Solutions III.3

Lecture 13: Solutions III.4

Lecture 14: Solutions III.5

Lecture 15: Solutions III.6

Lecture 16: Solutions III.7 Pt.1

Lecture 17: Solutions III.7 Pt.2

Lecture 18: Solutions III.8+9

Lecture 19: Solutions III.10

Chapter 6: Calculus I.5

Lecture 1: Calculus I.5: The Limit Pt.1

Lecture 2: Calculus I.5: The Limit Pt.2

Lecture 3: Calculus I.5: Continuous Functions

Lecture 4: Calculus I.5: The Intermediate Value Theorem

Lecture 5: Calculus I.5: Limits Involving Infinity

Lecture 6: Calculus I.5: Working with Limits

Lecture 7: Calculus I.5: Limits of Composite Functions

Lecture 8: Calculus I.5: Multiple Limits

Lecture 9: Exercises and Solutions IV.1

Lecture 10: Solutions IV.2+3

Lecture 11: Solutions IV.4+5

Lecture 12: Solutions IV.6+7

Lecture 13: Solutions IV.8+9

Lecture 14: Solutions IV.10

Lecture 15: Solutions IV.11 Pt.1

Lecture 16: Solutions IV.11 Pt.2

Lecture 17: Solutions IV.12

Chapter 7: Calculus I.6

Lecture 1: Calculus I.6: The Sandwich Theorem Pt.1

Lecture 2: Calculus I.6: The Sandwich Theorem Pt.2

Lecture 3: Calculus I.6: Logarithmic Vs. Polynomial Vs. Exponential Functions Pt.1

Lecture 4: Calculus I.6: Logarithmic Vs. Polynomial Vs. Exponential Functions Pt.2

Lecture 5: Calculus I.6: Differentiation From First Principles Pt.1

Lecture 6: Calculus I.6: Differentiation From First Principles Pt.2

Lecture 7: Calculus I.6: Differentiation From First Principles Pt.3

Lecture 8: Calculus I.6: Differentiation From First Principles Pt.4

Lecture 9: Calculus I.6: Differentiation From First Principles Pt.5

Lecture 10: Calculus I.6: The Chain Rule

Lecture 11: Calculus I.6: The Sum Rule Pt.1

Lecture 12: Calculus I.6: The Sum Rule Pt.2

Lecture 13: Calculus I.6: The Product Rule

Lecture 14: Calculus I.6: The Quotient Rule

Lecture 15: Exercises and Solutions V.1

Lecture 16: Solutions V.2 Pt.1

Lecture 17: Solutions V.2 Pt.2

Lecture 18: Solutions V.3+4

Lecture 19: Solutions V.5+6

Instructors

L Sang
Maths tutor with a first-honours degree in Mathematics

Rating Distribution

1 stars: 1 votes
2 stars: 4 votes
3 stars: 8 votes
4 stars: 16 votes
5 stars: 33 votes

Frequently Asked Questions

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You can view and review the lecture materials indefinitely, like an on-demand channel.

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