14 Hours To Power Calculus: For All Levels

Ace Calculus with 500+ practice questions | Limits, Derivatives, Optimization, Related Rates and more

What you'll learn

By the end of this course, learners should have a solid grasp of fundamental calculus concepts

Proficient in Differentiation

Thorough understanding of Optimization and Related rates

Apply these skills to real-world situations

Be ready for higher level Calculus

Ailment to any Engineering major

Requirements

Basic understanding of Precalculus will be helpful, but not mandatory

Description

Embark on a thrilling journey through the world of calculus with our dynamic course, "14 hours to Power Calculus" Uncover the magic of mathematical analysis as we break down complex Calculus 1 concepts into bite-sized, 7-minute lectures, totaling around 150 engaging sessions.From laying the groundwork with fundamental limits and basic derivatives, we'll seamlessly transition into the intricacies of advanced derivatives, exploring critical and inflection points that add depth to your calculus toolkit. Brace yourself for a rollercoaster of knowledge as we dive into the realms of increasing, decreasing, and concavity—essential elements for understanding the behavior of functions.But that's not all! We'll elevate your calculus expertise by tackling optimization problems, where you'll learn to maximize and minimize with confidence. Dive into the fascinating world of related rates, where calculus comes alive in the context of changing variables.To enhance your learning experience, each topic is accompanied by downloadable extra practice questions, ensuring you solidify your understanding through hands-on application. Whether you're a student seeking academic excellence or a professional craving a deeper understanding of calculus, this course is designed to cater to all levels of learners.Get ready to revolutionize your approach to calculus, one short lecture at a time! Join "14 hours to Power Calculus" today and unlock the door to mathematical mastery and problem-solving prowess. Enroll now and let the calculus adventure begin!

Overview

Section 1: Limits

Lecture 1 Introduction to limits

Lecture 2 Existence of limits part 1

Lecture 3 Existence of limits part 2

Lecture 4 Undefined vs Indeterminate form

Lecture 5 Estimating limits from graphs

Lecture 6 Estimating limits from tables

Lecture 7 Properties of limits

Lecture 8 Algebraic method - Direct substitution part 1

Lecture 9 Algebraic method - Direct substitution part 2

Lecture 10 Algebraic method - Factorization part 1

Lecture 11 Algebraic method - Factorization part 2

Lecture 12 Algebraic method - Rationalization part 1

Lecture 13 Algebraic method - Rationalization part 2

Lecture 14 Algebraic method - Simplification part 1

Lecture 15 Algebraic method - Simplification part 2

Lecture 16 Continuity and its properties

Lecture 17 Types of discontinuity

Lecture 18 Continuity and Discontinuity - Practice questions part 1

Lecture 19 Continuity and Discontinuity - Practice questions part 2

Lecture 20 Continuity and Discontinuity - Practice questions part 3

Lecture 21 Continuity and Discontinuity - Practice questions part 4

Lecture 22 Infinite limits part 1

Lecture 23 Infinite limits part 2

Lecture 24 Limits at infinity - Introduction

Lecture 25 Limits at infinity - practice questions part 1 (Easy)

Lecture 26 Limits at infinity - practice questions part 2 (Medium)

Lecture 27 Limits at infinity - practice questions part 3 (Difficult)

Lecture 28 Optional | Limits at infinity - practice questions part 4 (Difficult)

Lecture 29 Optional | Limits at infinity - practice questions part 5 (Difficult)

Lecture 30 IVT - Introduction

Lecture 31 IVT - Practice questions

Lecture 32 Squeeze theorem

Section 2: Derivatives basic

Lecture 33 Graphical significance of derivative

Lecture 34 Significance of average rate of change of function

Lecture 35 Equation of secant line part 1

Lecture 36 Equation of secant line part 2

Lecture 37 Notation

Lecture 38 Limit definition of derivative

Lecture 39 Limit definition of derivative - practice problems part 1

Lecture 40 Limit definition of derivative - practice problems part 2

Lecture 41 Limit definition of derivative - practice problems part 3

Lecture 42 Estimating derivatives part 1

Lecture 43 Estimating derivatives part 2

Lecture 44 Estimating derivatives part 3

Lecture 45 Equation of tangent lines

Lecture 46 Non-Differentiability cases

Lecture 47 Differentiability - graphical practice questions

Lecture 48 Differentiability - algebraic practice questions

Lecture 49 Constant and Power rule of derivative

Lecture 50 Power rule of derivative - Practice questions part 1

Lecture 51 Power rule of derivative - Practice questions part 2

Lecture 52 Sum, difference and other rule of derivative

Lecture 53 Sum, difference and other rule of derivative - practice questions part 1

Lecture 54 Sum, difference and other rule of derivative - practice questions part 2

Lecture 55 Sum, difference and other rule of derivative - practice questions part 3

Lecture 56 Sum, difference and other rule of derivative - practice questions part 4

Lecture 57 Exp and Log rule of derivative

Lecture 58 Exponent and Log rule of derivative - practice questions part 1

Lecture 59 Exponent and Log rule of derivative - practice questions part 2

Lecture 60 Trig rule of derivative

Lecture 61 Trig rule of derivative - practice questions part 1

Lecture 62 Trig rule of derivative - practice questions part 2

Lecture 63 Product rule of derivative

Lecture 64 Product rule of derivative - practice questions part 1

Lecture 65 Product rule of derivative - practice questions part 2

Lecture 66 Quotient rule of derivative

Lecture 67 Quotient rule of derivative - practice questions

Lecture 68 Multiple rules - word problems part 1

Lecture 69 Multiple rules - word problems part 2

Lecture 70 Tangent line approximation

Lecture 71 Tangent line approximation - practice questions part 1

Lecture 72 Tangent line approximation - practice questions part 2

Section 3: Chain rule, Implicit differentiation, Higher order and other advanced topics

Lecture 73 Chain rule - Introduction

Lecture 74 Chain rule - Algebraic expressions - practice questions part 1

Lecture 75 Chain rule - Algebraic expressions - practice questions part 2

Lecture 76 Chain rule - Trigonometric expressions - part 1

Lecture 77 Chain rule - Trigonometric expressions - part 2

Lecture 78 Chain rule - exponential expressions

Lecture 79 Chain rule - logarithmic expressions - part 1

Lecture 80 Chain rule - logarithmic expressions - part 2

Lecture 81 Combination of rules - part 1

Lecture 82 Combination of rules - part 2

Lecture 83 Combination of rules - part 3

Lecture 84 Combination of rules - part 4

Lecture 85 Implicit differentiation - meaning?

Lecture 86 Implicit differentiation - practice part 1

Lecture 87 Implicit differentiation - practice part 2

Lecture 88 Implicit differentiation - practice part 3

Lecture 89 Implicit differentiation - practice part 4

Lecture 90 Inverse Trig rule of derivative

Lecture 91 Inverse Trig rule of derivative - practice questions

Lecture 92 Higher order derivatives - practice part 1

Lecture 93 Higher order derivatives - practice part 2

Lecture 94 Composite exponential rule of derivative - x^x type - practice part 1

Lecture 95 Composite exponential rule of derivative - x^x type - practice part 2

Section 4: Application of derivatives - Critical, Inflection, Optimization and more -Part 1

Lecture 96 Meaning of derivatives in context - word problems - part 1

Lecture 97 Meaning of derivatives in context - word problems - part 2

Lecture 98 Meaning of derivatives in context - word problems - part 3

Lecture 99 L Hopital's rule - Introduction

Lecture 100 L Hopital's rule - practice questions - part 1

Lecture 101 L Hopital's rule - practice questions - part 2

Lecture 102 Mean Value Theorem - Introduction

Lecture 103 Mean Value Theorem - Practice questions - part 1

Lecture 104 Mean Value Theorem - Practice questions - part 2

Lecture 105 Mean Value Theorem - Practice questions - part 3

Lecture 106 EVT and critical points - Introduction

Lecture 107 Critical points - Practice questions - part 1

Lecture 108 Critical points - Practice questions - part 2

Lecture 109 Critical points - Practice questions - part 3

Lecture 110 Critical points - Practice questions - part 4

Lecture 111 Increasing and decreasing function - Introduction

Lecture 112 Increasing and decreasing function - Practice questions - part 1

Lecture 113 Increasing and decreasing function - Practice questions - part 2

Lecture 114 Local extrema using first derivative test - Introduction

Lecture 115 Local extrema using first derivative test - Practice questions part 1

Lecture 116 Local extrema using first derivative test - Practice questions part 2

Lecture 117 Local extrema using first derivative test - Practice questions part 3

Lecture 118 Local extrema using second derivative test - Introduction

Lecture 119 Local extrema using second derivative test - Practice questions part 1

Lecture 120 Local extrema using second derivative test - Practice questions part 2

Lecture 121 Global or Absolute extrema - Introduction

Lecture 122 Global or Absolute extrema - Practice questions part 1

Lecture 123 Global or Absolute extrema - Practice questions part 2

Lecture 124 Global or Absolute extrema - Practice questions part 3

Lecture 125 Inflection point and concavity - Introduction

Lecture 126 Inflection point and concavity - Practice questions part 1

Lecture 127 Inflection point and concavity - Practice questions part 2

Lecture 128 Relating graphs f(x) -> f'(x) - part 1

Lecture 129 Relating graphs f(x) -> f'(x) - part 2

Lecture 130 Relating graphs f'(x) - f(x)

Lecture 131 Relating graphs f(x), f'(x), f''(x)

Lecture 132 Optimization - Introduction

Lecture 133 Optimization - practice questions part 1

Lecture 134 Optimization - practice questions part 2

Lecture 135 Optimization - practice questions part 3

Section 5: Application of derivatives - Straight line motion and Related rates - Part 2

Lecture 136 Straight line motion - Introduction

Lecture 137 Straight line motion - Algebraic - Practice questions - Part 1

Lecture 138 Straight line motion - Algebraic - Practice questions - Part 2

Lecture 139 Straight line motion - Algebraic - Practice questions - Part 3

Lecture 140 Straight line motion - Graphical- Practice questions - Part 1

Lecture 141 Straight line motion - Graphical- Practice questions - Part 2

Lecture 142 Straight line motion - Graphical- Practice questions - Part 3

Lecture 143 Related rates - Introduction

Lecture 144 Related rates - Practice questions - Part 1

Lecture 145 Related rates - Practice questions - Part 2

Lecture 146 Related rates - Practice questions - Part 3

Lecture 147 Related rates - Area and Volume problem - Part 4

Lecture 148 Related rates - Flying rocket problem - Part 5

Lecture 149 Related rates - Ladder problem - Part 6

Lecture 150 Related rates - Shadow problem - Part 7

Lecture 151 Related rates - Approaching planes problem - Part 8

Lecture 152 Related rates - Conical tank problem - Part 9

Highschool or University students taking Calculus 1, AP Calculus, IB Math SL, HL or any other course involving Calculus,Working professional who wants to refresh their Calculus memories - for the love of technology