Calculus 1 – A Complete Course in Differential Calculus
Calculus 1 – A Complete Course in Differential Calculus, available at $49.99, has an average rating of 4.58, with 55 lectures, based on 6 reviews, and has 64 subscribers.
You will learn about Differential Calculus Key Differentiation Techniques Advanced Differentiation Techniques Applications of Derivatives This course is ideal for individuals who are Students who need to learn Calculus 1 or Students who need to learn Differentiation or Students reviewing key Differentiation techniques for a test or assignment or Students looking for Calculus 1 practice questions with full step-by-step solutions or Students who want clear instruction on all aspects of Calculus 1 It is particularly useful for Students who need to learn Calculus 1 or Students who need to learn Differentiation or Students reviewing key Differentiation techniques for a test or assignment or Students looking for Calculus 1 practice questions with full step-by-step solutions or Students who want clear instruction on all aspects of Calculus 1.
Enroll now: Calculus 1 – A Complete Course in Differential Calculus
Summary
Title: Calculus 1 – A Complete Course in Differential Calculus
Price: $49.99
Average Rating: 4.58
Number of Lectures: 55
Number of Published Lectures: 55
Number of Curriculum Items: 55
Number of Published Curriculum Objects: 55
Original Price: $24.99
Quality Status: approved
Status: Live
What You Will Learn
- Differential Calculus
- Key Differentiation Techniques
- Advanced Differentiation Techniques
- Applications of Derivatives
Who Should Attend
- Students who need to learn Calculus 1
- Students who need to learn Differentiation
- Students reviewing key Differentiation techniques for a test or assignment
- Students looking for Calculus 1 practice questions with full step-by-step solutions
- Students who want clear instruction on all aspects of Calculus 1
Target Audiences
- Students who need to learn Calculus 1
- Students who need to learn Differentiation
- Students reviewing key Differentiation techniques for a test or assignment
- Students looking for Calculus 1 practice questions with full step-by-step solutions
- Students who want clear instruction on all aspects of Calculus 1
So you’ve made it through Pre-Calculus and are ready for the good stuff! Calculus is the Mathematics of change and used to model and understand many phenomena in the real world – from science and engineering to finance, economics and medicine – it’s difficult to find a field which doesn’t employ Calculus in some way. Although Calculus 1 is largely focused on differentiation techniques and their applications, it’s important to set some foundations first. So, we start by looking at the key concepts of limits and continuity, and build upon these to define the derivative. The core of the course then focuses on primary and advanced differentiation techniques, before moving on to answer a range of questions which apply derivatives in some way.
This Course is For You
I created this course to help you master differential Calculus through clear instructional videos and relevant practice questions.
There are many reasons why you might want to take this course:
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To learn Calculus 1 from scratch
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For additional support if you’re taking Calculus 1 in school or college
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To help you prep for a Calculus 1 assessment
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To review key Differentiation techniques
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To access more than 200 relevant practice questions with full solutions
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As prep for taking a Calculus 2 course
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11 hours of instructional video
Whatever your reason this course will help you build key differentiation skills quickly.
What You’ll Take Away From This Course
Calculus 1 is a challenging course with a lot of content. But by mastering core techniques you’ll be able to answer a wide variety of questions both in class and in the real-world. Each instructional video teaches one technique and mixes a small amount of theory with example problems. You will then practice what you’ve learnt in the end of section review exercise. I’ve also included step-by-step solutions so you can check your work as you go. Take this course and you will learn:
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The foundations of differentiation – limits and continuity
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The first principles of differentiation
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Core differentiation techniques – the Power, Product and Quotient rules
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The Chain Rule which allows you to differentiate a wide range of functions
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Advanced differentiation techniques and L’Hopital’s rule
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Applications of derivatives such as local extrema and optimisation
Course Curriculum
Chapter 1: Limits and Continuity
Lecture 1: Starting Limits
Lecture 2: Evaluating Limits Graphically
Lecture 3: Evaluating Limits Numerically
Lecture 4: Limits that Don’t Exist
Lecture 5: One Sided Limits & Existence of a Limit
Lecture 6: Properties of Limits
Lecture 7: Formal Definition of a Limit
Lecture 8: Evaluating Limits Directly
Lecture 9: Functions That Agree at All But One Point
Lecture 10: Evaluating Limits Algebraically
Lecture 11: The Squeeze Theorem
Lecture 12: Starting Continuity
Lecture 13: Formal Definition of Continuity
Lecture 14: Continuity on a Closed Interval
Lecture 15: Properties of Continuity
Lecture 16: The Intermediate Value Theorem
Lecture 17: Test Your Knowledge
Chapter 2: The Derivative
Lecture 1: Average and Instantaneous Rate of Change
Lecture 2: The Limit Definition of a Tangent Line Slope
Lecture 3: Defining The Derivative
Lecture 4: Differentiability
Lecture 5: Derivative Notation
Lecture 6: The Power Rule
Lecture 7: The Product Rule
Lecture 8: The Quotient Rule
Lecture 9: Differentiating Trigonometric Functions
Lecture 10: Test Your Knowledge
Chapter 3: The Chain Rule & Advanced Techniques
Lecture 1: The Chain Rule
Lecture 2: The Chain Rule – Examples
Lecture 3: Implicit Differentiation
Lecture 4: Second Derivates
Lecture 5: Combining Differentiation Rules
Lecture 6: Differentiating Exponential Functions
Lecture 7: Differentiating Logarithmic Functions
Lecture 8: Differentiating Inverse Functions
Lecture 9: Differentiating Inverse Trigonometric Functions
Lecture 10: L’Hopitals Rule
Lecture 11: Test Your Knowledge
Chapter 4: Applications of Derivatives
Lecture 1: The Equation of a Tangent to a Curve
Lecture 2: Determining Whether a Function is Increasing or Decreasing
Lecture 3: Determining Local Extrema of a Function
Lecture 4: 2nd Derivative Test
Lecture 5: Points of Inflection
Lecture 6: Concavity
Lecture 7: Concavity Example
Lecture 8: Determining the Nature of Stationary Points
Lecture 9: Sketching Curves
Lecture 10: Optimisation Problems
Lecture 11: Optimisation Example
Lecture 12: Rolle’s Theorem
Lecture 13: The Mean Value Theorem
Lecture 14: Test Your Knowledge
Chapter 5: Additional Resources
Lecture 1: Calculus 1 Formula Sheet
Lecture 2: Trigonometry Formula Sheet
Lecture 3: Trigonometric Functions Graphs
Instructors
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Gary Thomson
Math Instructor at MyMathsGuy
Rating Distribution
- 1 stars: 0 votes
- 2 stars: 0 votes
- 3 stars: 1 votes
- 4 stars: 1 votes
- 5 stars: 4 votes
Frequently Asked Questions
How long do I have access to the course materials?
You can view and review the lecture materials indefinitely, like an on-demand channel.
Can I take my courses with me wherever I go?
Definitely! If you have an internet connection, courses on Udemy are available on any device at any time. If you don’t have an internet connection, some instructors also let their students download course lectures. That’s up to the instructor though, so make sure you get on their good side!
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