Become a Calculus 1 Master

Learn everything from Calculus 1, then test your knowledge with 600+ practice questions

4.7/5

Become a Calculus 1 Master

What you’ll learn

Limits & Continuity, including how to solve every kind of limit problem, and how to find discontinuities in a function
Derivatives, including all of the derivative rules, the infamous chain rule, and how to do implicit differentiation
Applications of Derivatives, including two of the hardest topics from Calc 1: optimization and related rates

Requirements

You should have a decent foundation (but it doesn’t have to be perfect! :D) in Algebra.
If you have some experience with Trigonometry and Precalculus, that will definitely be helpful, but it’s not absolutely necessary.

Overview

Section 1: Calculus 1 – Introduction & Resources

Lecture 1 Hi! START HERE: Course overview

Section 2: Limits & Continuity – Definition of the limit

Lecture 4 Introduction to definition of the limit

Lecture 5 RESOURCE: Quiz solutions for this section

Lecture 6 Idea of the limit

Lecture 7 Idea of the limit

Lecture 8 One-sided limits

Lecture 9 One-sided limits

Lecture 10 Proving that the limit does not exist

Lecture 11 Proving that the limit does not exist

Lecture 12 Precise definition of the limit

Lecture 13 Precise definition of the limit

Lecture 14 BONUS! Extra practice problems. ๐

Section 3: Limits & Continuity – Combinations and composites

Lecture 15 Introduction to combinations and composites

Lecture 16 RESOURCE: Quiz solutions for this section

Lecture 17 Limits of combinations

Lecture 18 Limits of combinations

Lecture 19 Limits of composites

Lecture 20 Limits of composites

Lecture 21 BONUS! Extra practice problems. ๐

Section 4: Limits & Continuity – Continuity

Lecture 22 Introduction to continuity

Lecture 23 RESOURCE: Quiz solutions for this section

Lecture 24 Point discontinuities

Lecture 25 Point discontinuities

Lecture 26 Jump discontinuities

Lecture 27 Jump discontinuities

Lecture 28 Infinite discontinuities

Lecture 29 Infinite discontinuities

Lecture 30 Endpoint discontinuities

Lecture 31 Endpoint discontinuities

Lecture 32 BONUS! Extra practice problems. ๐

Section 5: Limits & Continuity – Intermediate Value Theorem

Lecture 33 Introduction to Intermediate Value Theorem

Lecture 34 RESOURCE: Quiz solutions for this section

Lecture 35 Intermediate Value Theorem with an interval

Lecture 36 Intermediate Value Theorem with an interval

Lecture 37 Intermediate Value Theorem without an interval

Lecture 38 Intermediate Value Theorem without an interval

Lecture 39 BONUS! Extra practice problems. ๐

Section 6: Limits & Continuity – Solving limits

Lecture 40 Introduction to solving limits

Lecture 41 RESOURCE: Quiz solutions for this section

Lecture 42 Solving with substitution

Lecture 43 Solving with substitution

Lecture 44 Solving with factoring

Lecture 45 Solving with factoring

Lecture 46 Solving with conjugate method

Lecture 47 Solving with conjugate method

Lecture 48 Infinite limits and vertical asymptotes

Lecture 49 Infinite limits and vertical asymptotes

Lecture 50 Limits at infinity and horizontal asymptotes

Lecture 51 Limits at infinity and horizontal asymptotes

Lecture 52 Crazy graphs

Lecture 53 Crazy graphs

Lecture 54 Trigonometric limits

Lecture 55 Trigonometric limits

Lecture 56 Making the function continuous

Lecture 57 Making the function continuous

Lecture 58 BONUS! Extra practice problems. ๐

Section 7: Limits & Continuity – Squeeze Theorem

Lecture 59 Introduction to Squeeze Theorem

Lecture 60 RESOURCE: Quiz solutions for this section

Lecture 61 Squeeze Theorem

Lecture 62 Squeeze Theorem

Lecture 63 BONUS! Extra practice problems. ๐

Section 8: Derivatives – Definition of the derivative

Lecture 64 Introduction to definition of the derivative

Lecture 65 RESOURCE: Quiz solutions for this section

Lecture 66 Definition of the derivative

Lecture 67 Definition of the derivative

Lecture 68 BONUS! Extra practice problems. ๐

Section 9: Derivatives – Derivative rules

Lecture 69 Introduction to derivative rules

Lecture 70 RESOURCE: Quiz solutions for this section

Lecture 71 Power rule

Lecture 72 Power rule

Lecture 73 Power rule for negative powers

Lecture 74 Power rule for negative powers

Lecture 75 Power rule for fractional powers

Lecture 76 Power rule for fractional powers

Lecture 77 Product rule with two functions

Lecture 78 Product rule with two functions

Lecture 79 Product rule with three or more functions

Lecture 80 Product rule with three or more functions

Lecture 81 Quotient rule

Lecture 82 Quotient rule

Lecture 83 Trigonometric derivatives

Lecture 84 Trigonometric derivatives

Lecture 85 Exponential derivatives

Lecture 86 Exponential derivatives

Lecture 87 Logarithmic derivatives

Lecture 88 Logarithmic derivatives

Lecture 89 BONUS! Extra practice problems. ๐

Section 10: Derivatives – Chain rule

Lecture 90 Introduction to chain rule

Lecture 91 RESOURCE: Quiz solutions for this section

Lecture 92 Chain rule with power rule

Lecture 93 Chain rule with power rule

Lecture 94 Chain rule with trig, log, and exponential functions

Lecture 95 Chain rule with trig, log, and exponential functions

Lecture 96 Chain rule with product rule

Lecture 97 Chain rule with product rule

Lecture 98 Chain rule with quotient rule

Lecture 99 Chain rule with quotient rule

Lecture 100 BONUS! Extra practice problems. ๐

Section 11: Derivatives – Other derivatives

Lecture 101 Introduction to other derivatives

Lecture 102 RESOURCE: Quiz solutions for this section

Lecture 103 Inverse trigonometric derivatives

Lecture 104 Inverse trigonometric derivatives

Lecture 105 Hyperbolic derivatives

Lecture 106 Hyperbolic derivatives

Lecture 107 Inverse hyperbolic derivatives

Lecture 108 Inverse hyperbolic derivatives

Lecture 109 Logarithmic differentiation

Lecture 110 Logarithmic differentiation

Lecture 111 BONUS! Extra practice problems. ๐

Section 12: Derivatives – Tangent and normal lines

Lecture 112 Introduction to tangent and normal lines

Lecture 113 RESOURCE: Quiz solutions for this section

Lecture 114 Tangent lines

Lecture 115 Tangent lines

Lecture 116 Value that makes two tangent lines parallel

Lecture 117 Value that makes two tangent lines parallel

Lecture 118 Values that make the function differentiable

Lecture 119 Values that make the function differentiable

Lecture 120 Normal lines

Lecture 121 Normal lines

Lecture 122 Average rate of change

Lecture 123 Average rate of change

Lecture 124 BONUS! Extra practice problems. ๐

Section 13: Derivatives – Implicit differentiation

Lecture 125 Introduction to implicit differentiation

Lecture 126 RESOURCE: Quiz solutions for this section

Lecture 127 Implicit differentiation

Lecture 128 Implicit differentiation

Lecture 129 Equation of the tangent line with implicit differentiation

Lecture 130 Equation of the tangent line with implicit differentiation

Lecture 131 Higher-order derivatives

Lecture 132 Higher-order derivatives

Lecture 133 Second derivatives with implicit differentiation

Lecture 134 Second derivatives with implicit differentiation

Lecture 135 BONUS! Extra practice problems. ๐

Section 14: Applications of Derivatives – Optimization and sketching graphs

Lecture 136 Introduction to optimization and sketching graphs

Lecture 137 RESOURCE: Quiz solutions for this section

Lecture 138 Critical points and the first derivative test

Lecture 139 Critical points and the first derivative test

Lecture 140 Inflection points and the second derivative test

Lecture 141 Inflection points and the second derivative test

Lecture 142 Intercepts and vertical asymptotes

Lecture 143 Intercepts and vertical asymptotes

Lecture 144 Horizontal and slant asymptotes

Lecture 145 Horizontal and slant asymptotes

Lecture 146 Sketching graphs

Lecture 147 Sketching graphs

Lecture 148 Extrema on a closed interval

Lecture 149 Extrema on a closed interval

Lecture 150 Sketching f(x) from f'(x)

Lecture 151 Sketching f(x) from f'(x)

Lecture 152 BONUS! Extra practice problems. ๐

Section 15: Applications of Derivatives – Linear approximation

Lecture 153 Introduction to linear approximation

Lecture 154 RESOURCE: Quiz solutions for this section

Lecture 155 Linear approximation

Lecture 156 Linear approximation

Lecture 157 Estimating a root

Lecture 158 Estimating a root

Lecture 159 Absolute, relative, and percentage error

Lecture 160 Absolute, relative, and percentage error

Lecture 161 BONUS! Extra practice problems. ๐

Section 16: Applications of Derivatives – Related rates

Lecture 162 Introduction to related rates

Lecture 163 RESOURCE: Quiz solutions for this section

Lecture 164 Radius of the balloon

Lecture 165 Radius of the balloon

Lecture 166 Price of the product

Lecture 167 Price of the product

Lecture 168 Water level in the tank

Lecture 169 Water level in the tank

Lecture 170 Observer and the airplane

Lecture 171 Observer and the airplane

Lecture 172 Ladder sliding down the wall

Lecture 173 Ladder sliding down the wall

Lecture 174 BONUS! Extra practice problems. ๐

Section 17: Applications of Derivatives – Applied optimization

Lecture 175 Introduction to applied optimization

Lecture 176 RESOURCE: Quiz solutions for this section

Lecture 177 Applied optimization

Lecture 178 Applied optimization

Lecture 179 BONUS! Extra practice problems. ๐

Section 18: Applications of Derivatives – Derivative theorems

Lecture 180 Introduction to derivative theorems

Lecture 181 RESOURCE: Quiz solutions for this section

Lecture 182 Mean Value Theorem

Lecture 183 Mean Value Theorem

Lecture 184 Rolle’s Theorem

Lecture 185 Rolle’s Theorem

Lecture 186 Newton’s Method

Lecture 187 Newton’s Method

Lecture 188 L’Hospital’s Rule

Lecture 189 L’Hospital’s Rule

Lecture 190 BONUS! Extra practice problems. ๐

Section 19: Applications of Derivatives – Physics and economics

Lecture 191 Introduction to physics and economics

Lecture 192 RESOURCE: Quiz solutions for this section

Lecture 193 Position, velocity, and acceleration

Lecture 194 Position, velocity, and acceleration

Lecture 195 Ball thrown up from the ground

Lecture 196 Ball thrown up from the ground

Lecture 197 Coin dropped from the roof

Lecture 198 Coin dropped from the roof

Lecture 199 Marginal cost, revenue, and profit

Lecture 200 Marginal cost, revenue, and profit

Lecture 201 BONUS! Extra practice problems. ๐

Section 20: Applications of Derivatives – Exponential growth and decay

Lecture 202 Introduction to exponential growth and decay

Lecture 203 RESOURCE: Quiz solutions for this section

Lecture 204 Half life

Lecture 205 Half life

Lecture 206 Newton’s Law of Cooling

Lecture 207 Newton’s Law of Cooling

Lecture 208 Sales decline

Lecture 209 Sales decline

Lecture 210 Compounding interest

Lecture 211 Compounding interest

Lecture 212 BONUS! Extra practice problems. ๐

Section 21: Final exam and wrap-up

Lecture 213 Practice final exam #1 (optional)

Lecture 214 Practice final exam #2 (optional)

Lecture 215 Calculus 1 final exam

Lecture 216 Wrap-up

Anyone who’s completed Algebra and some Trigonometry/Precalc and wants to take the next step,Current calculus students, or students about to start calculus who are looking to get ahead,Homeschool parents looking for extra support with calculus,Anyone who wants to study calculus for fun after being away from school for a while

Course Information:

Udemy | English | 12h 46m | 2.23 GB
Created by: Krista King

You Can See More Courses in the Teaching & Academics >> Greetings from CourseDown.com

Scroll to Top