Complete Calculus 1: Master Limits and Derivatives

Name: Complete Calculus 1: Master Limits and Derivatives
Rating: 4.0 (16 reviews)

Master the core concepts of calculus 1 including Functions, Limits, Derivatives, and Integrals through examples

Created byELVIS INNOCENT AGBEDE

Last updated 1/2026

English

English [Auto],

What you'll learn

Precalculus-Functions and how to modify functions, solving trigonometry equations, studying common graphs.
Students will learn Limit and continuity-how to solve every kind of limit problem, finding discontinuities in functions
Students will learn Derivatives-we will introduce Derivatives. We will cover the standard derivatives formulas.
Students will learn Application of Derivatives-In this chapter we will cover many of the major applications of derivatives.
Integrals- In this chapter we will give an introduction to definite and indefinite integrals.
Application of Integrals-In this chapter we will take a look at some applications of integrals.
Students will learn different techniques for solving complicated Derivatives and Integrals

Course content

6 sections • 94 lectures • 15h 3m total length

Introduction video to become a master of calculus 12:54
This video is a preview and a simple explanation of the course designed to meet the requirement of the student to understand Calculus 1
Introduction to function8:57
In this lesson, you will learn how to determine if an equation is a function or not
Function Notation5:32
you will be able to evaluate function at the end of this lesson
Finding the root of a function6:29
You will be able to find the root of any function at the end of this lecture
Introduction to Domain and Range5:51
You will be able to understand the concept about Domain and Range of a function at the end of this lesson
Solve examples on Domain and Range8:42
you will be be able to determine the Domain and range of any function after this lesson
Inverse Function10:42
You will be able to determine the inverse of a function at the end of this lecture
Introduction to trigonometry function6:21
you will get to familiarize with trigonometry function at the end of the lesson
Unit Circle17:01
At the end of this lesson,you will be able to understand how to write a unit circle without memorizing it.
Using unit circle to solve trigonometry function4:39
you will be able to use unit circle to solve trigonometry functions at the end of this lesson
Solving trigonometry equations10:20
At the end of this lecture,you will be able to solve trigonometry equations.
Exponential function15:32
you will be able to understand exponential function at the end of this lesson
Solving exponential equation13:19
you will be able to solve exponential equation at the end of this lesson
Graphing exponential function16:10
You will be able to graph exponential function at the end of this lesson
Logarithmic function7:24
you will be able to solve logarithmic function at the end of this lesson
Solving Logarithmic equations20:26
You will be able to solve logarithmic equations at the end of this lesson
Graphing Logarithmic functions9:27
you will be able to graph logarithmic function at the end of this lesson
Graphing Linear equations6:23
you will be able to graph linear function at the end of this lesson
Graphing quadratic equations8:36
you will be able to graph quadratic equations at the end of this lesson
Basic graph you should know3:25
you will be able to identify some basic graph at the end of this lesson
END OF SECTION 1 QUIZ

Average rate of change10:10
you will be able to understand and solve average rate of change problems at the end of this lesson
Instantaneous rate of change11:08
you will be able to understand and solve problems related to instantaneous rate of change at the end of this lesson
Limit of a function5:34
you will be able to understand the definition of limit at the end of this lesson
Solve examples on Limit part 19:38
you will be able to solve some examples relating to limit at the end of this lesson
Solve examples on Limit part 211:38
you will see how to solve more examples on limit at the end of this lesson
One sided Limit7:21
you will be able to understand what we mean by on e sided limit at the end of this lesson
more examples on one sided Limit9:32
you will fully get the logic behind one sided limit at the end of this lesson
Using Graph to evaluate Limit8:36
you will be able to use graph to evaluate Limit at the end of this lesson
Evaluating Piece-wise Function10:29
you will be able to Evaluate Piece-wise Function at the end of this lesson
Properties of Limit8:08
You will be able to use limit properties to evaluate limit at the end of this lesson
Infinite Limit9:03
You will be able to solve Infinite Limit at the end of this lesson
More examples on Infinite Limit8:56
you will learn more examples on infinite limit at the end of this lesson
Limit at Infinity9:08
you will be able to evaluate limit at infinity at the end of this lesson
More examples on Limit at Infinity9:58
you will learn more examples on limit at infinity at the end of this lesson
Continuity and Discontinuity9:32
you will be able to understand continuity and discontinuity of a function at the end of this lesson
Continuity and Discontinuity For Piece-wise Function10:50
you will be able to able to identify if a function is continuous or not for piece-wise function at the end of this lesson
Intermediate Value Theorem11:06
you will be able to understand intermediate value theorem at the end of this lesson
Precise Definition of a Limit3:12
you are going to understand what is actually the precise definition of a limit at the end of this lesson
Examples on Precise Definition of a Limit11:35
you will be able to proof that a limit actually exist using definition of limit, at the end of this lesson
END OF SECTION 2 QUIZ

The definition of the derivative9:47
you will be able to understand how we define derivative at the end of this lesson
Finding Derivatives using the definition of the derivative15:13
you will be able to find derivatives using the definition of the derivative at the end of this lesson
Interpretation of the Derivative7:04
after the end of this lesson,you will be able to understand how will interpret derivative using word problem
Differentiation Formulas6:12
you will learn different differentiation formulas at the end of this lesson
Power Rule8:00
you will learn how to use power rule to find derivative of functions at the end of this lesson
Product Rule10:28
you will learn how to use product rule to find derivative of functions at the end of this lesson
Quotient Rule10:17
you will be able to use quotient rule to find the derivative of a function at the end of this lesson
Derivatives of Trigonometry functions9:00
you will learn how to take the derivative of trigonometry functions at the end of this lesson
Derivatives of Exponential Functions18:42
you will learn how to take the derivative of Exponential function at the end of this lesson
Chain Rule14:43
you will be able to use chain rule to find the derivative of a function at the end of this lesson
Derivative of Inverse trigonometry Function11:31
you will be able to find the derivative of a function that contain inverse trigonometry at the end of this lesson
Derivative of Hyperbolic functions13:55
you will be able to find the derivative of a function that contain hyperbolic function at the end of this lesson
Implicit Differentiation13:55
you will be able to understand implicit differentiation at the end of this lesson
Related Rate9:31
you are going to understand the concept of related rate at the end of this lesson
Related rate(Ladder Problem)9:08
you are going to know how to solve ladder problem on related rate at the end of this lesson
Related rate (Shadow problem)7:53
you are going to know how to solve shadow problem on related rate at the end of this lesson
Higher Order Derivatives10:02
You will know what higher order derivatives mean at the end of this lesson
Logarithmic Differentiation9:08
you will be able to take derivatives of a function using logarithmic differentiation at the end of this lesson
END OF SECTION 3 QUIZ

Rates Of Change11:51
you will be able to understand the meaning of rate of change at the end of this lesson
Critical Point7:06
you will be able to find critical of a function at the end of this lesson
Introduction to Finding Maximum and Minimum Values3:43
you will be able to locate maximum and minimum values on a graph at the end of this lesson
Examples on Finding Maximum and Minimum Values(Absolute & Relative Extrema)7:47
you will be able to find Absolute and Relative extrema on a function at the end of this lesson
More Examples on Finding Maximum and Minimum values12:52
you will see more examples on Finding minimum and maximum values, that will clear all confusion at the end of this lesson
Shape of a Graph5:42
you will be able to know how a function increases and decreases using the shape of a graph at the end of this lesson
Example On Shape of a Graph12:59
you will be able to determine if a function is increasing,decreasing and also determine concave up,concave down and Inflection Point at the end of this lesson
Mean Value Theorem4:47
you are going to understand what we mean by Mean value theorem at the end of this lesson
Example 1 On Mean Value Theorem6:16
you will see how will evaluate a function using mean value value theorem at the end of this lesson
Example 2 on Mean Value Theorem12:31
you will see another on how will evaluate a function using mean value value theorem at the end of this lesson
Optimization Problem 19:49
you will see problem 1 on Optimization problem at the end of this lesson
Optimization Problem 28:02
you will see problem 2 on Optimization problem at the end of this lesson
Optimization Problem 38:37
you will see problem 3 on Optimization problem at the end of this lesson
Optimization Problem 49:13
you will see problem 4 on Optimization problem at the end of this lesson
L'Hospital's Rule And Indeterminate Forms14:34
you will be able to understand what indeterminate form and L'Hospital rule mean at the end of this lesson
Linear Approximations7:11
you will be able to understand how to use linear approximation to solve functions at the end of this lesson
Differentials8:02
you will be able to take the differential of functions at the end of this lesson
Newton's Method8:20
you will be able to understand Newton method at the end of this lesson
Business Application5:46
you will be able to apply derivatives to business at the end of this lesson
END OF SECTION 4 QUIZ

Indefinite Integrals16:34
you will be able to understand and solve indefinite integrals at the end of this lesson
More examples on indefinite integrals5:09
you will learn more examples on indefinite integral at the end of this lesson
Substitution Rule For Indefinite Integrals11:41
you will learn what U substitution rule is and how to use it to evaluate complicated integrals at the end of this lesson
More Examples On Substitution Rule on Indefinite Integrals8:34
you will learn more examples on U substitution rule at the end of this lesson
One More Example on U substitution Rule For Indefinite Integrals7:49
you will learn one more example on U substitution rule at the end of this lesson
Finding Area under The Curve5:11
you will be able to learn how to find area under the curve using integration at the end of this lesson
Reimann Sum Method For Finding Area Under The Curve13:49
you will be able to find the area the a curve using reimann sum method at the end of this lesson
Definite Integrals11:32
you will be able to evaluate most definite integrals at the end of this lesson
More Examples On Definite Integrals6:11
you will be able to solve more examples on definite integrals at the end of this lesson
Substitution Rule For Definite Integrals10:13
you will learn how to use substitution rule to evaluate definite integrals at the end of this lesson
END OF SECTION 5 QUIZ

Average Value Of a Function9:04
you will be able to solve average value of a function at the end of this lesson
Area Between Two Curves15:34
you will be able to find the area between two curves at the end of this lesson
Volume Of Solid Of Revolution(Method Of Rings)6:56
you will be able to understand what is volume of solid of Revolution using Ring method at the of this lesson
Examples On Volume Of Solid Of Revolution(Ring Method)11:29
Apply the ring method to compute volumes of solids of revolution about the x- and y-axes, using pi r^2 with r = sqrt(s) or r = y.
Volume of Solid Of Resolution (Method of shell)6:25
you will be able to understand what is volume of a solid using Method of shell or method of cylinders
Examples On Volume Of Solid Of Revolution(Method Of Cylinders/Shell Method)16:08
you will be able to find volume of solid of revolution using method of cylinders/shell method at the end of this lesson
Work Using Integration17:39
you will be able to find work done using integration at the end of this lesson
END OF SECTION 6 QUIZ
Closing Video0:31
any question? ask me,i will try to answer your questions.Good luck

Requirements

You don't need to have a perfect mathematics background to understand this course
Some understanding in Algebra- Doesn't need to be perfect
Some trigonometry and Pre -calculus foundation might be a step ahead. If not, it is OK because i will walk you through that
You should have a Pen ad Paper with you,while watching the tutorial,if possible some snacks because it will be fun

Description

Unlock the power of Calculus and gain the confidence to solve even the most complicated mathematical problems.

Calculus is often seen as a daunting subject, but it is the foundation of modern engineering, science, and economics. Whether you are a college student preparing for exams or a professional looking to refresh your skills, this course is designed to take you from the basics of functions to the advanced applications of integrals.

What You Will Learn

This course provides a comprehensive, step-by-step journey through the core pillars of Calculus 1. Each section includes detailed video explanations followed by quizzes to ensure you have mastered the material before moving forward.

Our curriculum is organised into six intensive sections:

Section 1: Pre-Calculus (Functions): We begin with a vital introduction to functions and their types to ensure you have the necessary background for the rest of the course.
Section 2: Limits: You will learn to properly understand and calculate different types of limits, a crucial step in defining derivatives.
Section 3: Derivatives: Master the essential rules of differentiation, including the Power Rule, Chain Rule, and derivatives of trigonometric, constant, and rational functions.
Section 4: Applications of Derivatives: Learn how to apply your knowledge to real-world scenarios, specifically focusing on finding the rate of change of one quantity with respect to another.
Section 5: Integrals: We dive into the world of integration, covering both definite and indefinite integrals in detail.
Section 6: Application of Integrals: Discover the practical uses of integration by calculating surface area, arc length, work, and the average value of a function.

Why Enrol in This Course?

Full Mastery: Designed to teach you Calculus 1 from beginning to end.
Step-by-Step Problem Solving: We don't just teach theory; we show you how to solve the "complicated questions" that often appear on exams.
Knowledge Checks: Quizzes at the end of every section help reinforce what you’ve learned.

Join this course today and turn Calculus from a challenge into your strongest skill!

Who this course is for:

Anyone searching for help in calculus and don't know what to do
Anyone who has completed Algebra,some trigonometry and pre-calculus and want to move further
Freshman student who want to learn and understand Calculus
Student who want to be a Master in Calculus
Student who already have some knowledge in Calculus and want to expand their knowledge in Calculus
Homeschool parents looking for extra support with calculus for their child
Anyone who want to study Calculus for fun
Anyone who has been away from school for a while and want to freshen up their knowledge in Calculus
Anyone who has love for Calculus and want to study Calculus
Anyone who need a private Calculus Tutor but can't find any
Anyone who would love to study Calculus from home
Anyone who would like to study Calculus on their free time
Anyone who always find it difficult to understand Calculus. This course is for you
Anyone afraid of Calculus exams. This course is for you

Complete Calculus 1: Master Limits and Derivatives

What you'll learn

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Course content

FUNCTIONS20 lectures • 3hr 8min

LIMITS19 lectures • 2hr 56min

DERIVATIVES18 lectures • 3hr 14min

APPLICATION OF DERIVATIVES19 lectures • 2hr 45min

INTEGRALS10 lectures • 1hr 37min

APPLICATIONS OF INTEGRALS8 lectures • 1hr 24min

Requirements

Description

Who this course is for: