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.
Description
HOW BECOME A CALCULUS 1 MASTER IS SET UP TO MAKE COMPLICATED MATH EASY:This 292-lesson course includes video and text explanations of everything from Calculus 1, and it includes 76 quizzes (with solutions!) and an additional 19 workbooks with extra practice problems, to help you test your understanding along the way. Become a Calculus 1 Master is organized into the following sections:Limits & ContinuityDerivativesApplications of DerivativesAND HERE’S WHAT YOU GET INSIDE OF EVERY SECTION:Videos: Watch over my shoulder as I solve problems for every single math issue you’ll encounter in class. We start from the beginning… I explain the problem setup and why I set it up that way, the steps I take and why I take them, how to work through the yucky, fuzzy middle parts, and how to simplify the answer when you get it.Notes: The notes section of each lesson is where you find the most important things to remember. It’s like Cliff Notes for books, but for math. Everything you need to know to pass your class and nothing you don’t.Quizzes: When you think you’ve got a good grasp on a topic within a course, you can test your knowledge by taking one of the quizzes. If you pass, great! If not, you can review the videos and notes again or ask for help in the Q&A section.Workbooks: Want even more practice? When you’ve finished the section, you can review everything you’ve learned by working through the bonus workbook. The workbooks include tons of extra practice problems, so they’re a great way to solidify what you just learned in that section.HERE’S WHAT SOME STUDENTS OF BECOME A CALCULUS 1 MASTER HAVE TOLD ME:“This course is absolutely amazing, I use both this course and the calc 2 course to be able to keep up with accelerated, without this i would be screwed. She’s very easy to understand.” – Dean V.“I’m really enjoying how the course has been simplified and made easy to understand. The quizzes after every section helped solidify the concepts. Everything is explained in detail and with great simplicity. I really like the way Krista teaches, It’s quite clear, straightforward and easy to understand. It’s comprehensive interactive course and totally worth the time and money! I bought all calculus volumes.” – Ghaith A.“Very well-made. Instructor explained everything clearly; found no difficulties understanding topics of study through instructor’s teaching methods. Done very well, overall! Glad to have invested in this course!” – Anish S.“AWESOME TUTORIALS! GREAT COURSE! DEFINITELY RECOMMENDED!” – Bonnie H.“There is very clear instructions. I’m learning this before actually taking calculus in college so I can have a deeper understanding of math (I’m a math major). She explains everything very thoroughly and works through every problem as if you’re a beginner. I will say that I am terrible at receiving audible information but brilliant with someone showing me how to do something on a board and she makes it very clear at understanding everything. I am very pleased to have this much course coverage. I feel like I have my own personal tutor without the expense. Btw if you like math, trigonometric identities are fun!” – Christian R.“I am very satisfied with this course. It is very clear, delivers all the interesting topics I like that I am taken from knowing little to actually knowing the calculus including the applied mathematics too. This is only Calculus I but it gives me not only sense of accomplishment and understanding but also the foundation for the future courses.” – Robert B.“I’m self studying mathematics for my electrical engineering degree and this course has been very VERY helpful. I find myself doing these videos before my homework. It makes me want to keep learning. Thank you Krista.” – Lester S.YOU’LL ALSO GET:Lifetime access to Become a Calculus 1 MasterFriendly support in the Q&A sectionUdemy Certificate of Completion available for download30-day money back guaranteeEnroll today!I can’t wait for you to get started on mastering calculus 1.- Krista 🙂
Overview
Section 1: Calculus 1 – Introduction & Resources
Lecture 1 Hi! START HERE: Course overview
Lecture 2 Download the Calc 1 formula sheet
Lecture 3 The EVERYTHING download
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. 🙂
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. 🙂
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. 🙂
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. 🙂
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. 🙂
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. 🙂
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. 🙂
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. 🙂
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. 🙂
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. 🙂
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. 🙂
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. 🙂
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. 🙂
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. 🙂
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. 🙂
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. 🙂
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. 🙂
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. 🙂
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. 🙂
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
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