page contents

 

 

Unit 1:

 

Lesson 1: Understanding the Limit – Numerical & Graphical Approach: Video lesson

 

 Limit Existence Theorem: Video lesson

 

Lesson 2: Understanding the Limit – Algebraic Approach: Part I: Video lesson; Part 2: Video lesson; Part 3: Videos lesson

 

Lesson 4: Infinite Limits & Limits at Infinity: Video lesson

 

Lesson 5; Limit Based Continuity: Part 1: Video lesson; Part 2: Video lesson

 

Lesson 6: Intermediate Value Theorem: Part 1: Video lesson; Part 2: Video lesson; Part 3: Video lesson

 

 

 

Unit 2:

 

Lesson 10 The Difference Quotient: Part 1: Video lesson; Part 2: Video lesson

 

Lesson 11: Understanding the Derivative – Graphical & Numerical Approach: Video lesson

 

Lesson 12: Derivatives of Polynomials & Polynomial-Type Functions, Sine and Cosine: Part 1Video lesson1; Part 2: Video lesson

 

Lesson 13: Connections between f and f’ for polynomial and trig: Part 1: Video lesson; Part 2: Video lesson; Part 3: Video lesson

 

 

 

Unit 3:

 

Lesson 17: Product Rule: Part 1: Video lessonPart 2: Video lesson

 

Lesson 18: Quotient Rule: Part 1: Video lessonPart 2: Video lessonPart 3: Video lesson

 

Lesson 19: Chain Rule: Part 1: Video lessonPart 2: Video lesson

 

Lesson 21: Differentiate ln x and e^x: Video lesson

 

Lesson 22: Continuity and Differentiability: Video lesson

 

Lesson 24: Implicit Differentiation: Video lesson

 

 

 

Unit 4:

 

Lesson 29: Optimization: Video lesson

 

Lesson 30: Related Rates: Part 1: Video lessonPart 2: Video lesson

 

 

 

Unit 5:

 

Lesson 40: Extreme Value Theorem: Video lesson

 

Lesson 41: MVT & Rolles: Video lesson

 

Lesson 42: Four Theorems: Video lesson

 

Lessons 44 and 45: Particle Motion: Video lesson

 

Lesson 46: Net &  Total Distance: Video lesson

 

 

 

Unit 6:

 

Lesson 50: Antiderivatives of Polynomial type: Video Lesson

 

Lesson 51: Riemann Sum: Video lesson

 

Lesson 52:  FTC: Video lesson

 

Lesson 53: Properties of Definite Integrals: Video lesson

 

Lesson 54: Integration of Composite Functions: Video lesson; U-substitution: Video lesson

 

Lesson 56: FTC/Particle Motion/Avg Value: Video lesson

 

Lesson 57: Applications of Definite Integrals: Video lesson

 

Lesson 58: Average Value: Video lesson

 

 

 

Unit 7:

 

Lesson 61: FTC Part II: Video lesson

 

Lesson 63: Differential Equations: Video lesson

 

Lesson 64: Slope Fields: Video lesson

 

Lesson 66: Area between Curves: Video lesson

 

Lesson 67: Volume of Solids: Video lesson