Calculus 1
The Calculus 1 online course helps you master core and advanced differentiation techniques before then learning common applications of derivatives. These are key to solving many real-world problems in various fields so the skills developed in this course can subsequently be used in a variety of settings. View our classroom or learn more below and start your Calculus 1 course access.
Calculus 1 Curriculum
- Starting Limits (10:30)
- Evaluating Limits Graphically (11:37)
- Evaluating Limits Numerically (9:33)
- Limits that Don’t Exist (12:02)
- One Sided and Two Sided Limits (14:58)
- Properties of Limits (11:40)
- Formal Definition of a Limit (14:20)
- Evaluating Limits Directly (13:58)
- Functions That Agree at All But One Point (9:09)
- Evaluating Limits Algebraically (14:22)
- The Squeeze Theorem (10:04)
- Starting Continuity (7:49)
- Formal Definition of Continuity (17:35)
- Continuity on a Closed Interval (13:29)
- Properties of Continuity (11:55)
- The Intermediate Value Theorem (13:15)
- Practice Questions
- Average and Instantaneous Rate of Change (15:04)
- The Limit Definition of the Slope of a Tangent Line (14:17)
- Defining The Derivative (14:47)
- Differentiability (15:17)
- Derivative Notation (8:33)
- The Power Rule (15:09)
- The Product Rule (14:48)
- The Quotient Rule (12:54)
- Differentiating Trigonometric Functions (10:25)
- Practice Questions
- The Chain Rule (33:51)
- Implicit Differentiation (17:28)
- Second Derivates (11:23)
- Combining Differentiation Rules (15:52)
- Differentiating Exponential Functions (14:33)
- Differentiating Logarithmic Functions (10:57)
- Differentiating Inverse Functions (9:07)
- Differentiating Inverse Trigonometric Functions (9:22)
- L’Hopitals Rule (13:08)
- Practice Questions
- The Equation of a Tangent to a Curve (14:37)
- Determining Whether a Function is Increasing or Decreasing (18:50)
- Determining Local Extrema of a Function (15:20)
- 2nd Derivative Test (15:50)
- Points of Inflection (14:38)
- Concavity (26:09)
- Determining the Nature of Stationary Points (16:28)
- Sketching Curves (18:56)
- Optimization Problems (27:52)
- Rolle’s Theorem (13:26)
- The Mean Value Theorem (15:15)
- Practice Questions
Who is the Calculus 1 Course For?
Calculus 1 is the perfect course for students taking their first steps into Differential Calculus. Students taking Calculus 1 should have some experience with functions, ideally having completed a course in Pre-Calculus. View the CLASSROOM.
What is Taught in Calculus 1?
Limits & Continuity, The Derivative, Differentiation Techniques, The Chain Rule & Advanced Techniques, Applications of Derivatives. View the full CURRICULUM.
What Will I Take Away From This Course?
By taking Calculus 1 students will master core and advanced differentiation techniques and common applications of these. Students practice what they’ve learnt from our instructional videos using carefully designed Calculus 1 worksheets.
How Does Calculus 1 Compare to Calculus 2?
Calculus comes in two flavours. Calculus 1 focuses on Differential Calculus and Calculus 2 focuses on Integral Calculus. These are opposite operations and used to solve different types of Mathematical and real-world problems.
What is the Progression From Calculus 1?
Students who have completed Calculus 1 would be in a strong position to progress to Calculus 2 or Differential Equations.
Hi, I’m Gary, and I'll be your instructor for this course in Calculus 1.
I'll be straight with you, I love Math! But I completely get that for most of us it's very challenging, and often frustrating. I'm here to help make it easier for you. I've taught many Calculus 1 students. I understand the sticking points and how to help you develop skills and boost your confidence. I have a BSc Honours degree in Pure Mathematics and have been educated in both the UK and the US. I own and run a private tuition business where I've served many hundreds of Maths students.