Math 103: Introduction to Calculus – Lecture Videos

Section 001 - Fall 2013

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Lecture Recordings

Chapter 2

• Evaluating Limits Using Algebra (2.4)
• The Squeeze Theorem (2.4)
  
• Continuity (2.5)
  
• The Intermediate Value Theorem and Limits at Infinity (2.5) and (2.6)

Chapter 3

• The Definition of the Derivative and Derivative Rules (3.1/3.2/3.3)  Part 1  Part 2
• Trig. Derivatives (3.5)
• The Chain Rule (3.6)
• Implicit Differentiation (3.7)
• Applications of the Derivative (position, velocity, acceleration, economics) (3.4)
  
• Inverse Functions (3.8)
• Exponential Functions (3.8)
• Logarithmic Functions (3.8) and Logarithmic Differentiation (3.8)
  
• Inverse Trig. Functions (3.9)
  
• Related Rates Part 1 and Part 2 (3.10)
• Linear Approximations and Differentials Part 1 and Part 2 (3.11)

Chapter 4

• Differentials Part 2 and Absolute Maximum and Minimum Values (4.1)
• Mean Value Theorem (4.2)
• Local Maximum and Minimum Values (4.3)
• Exam 2 Review
  
• Curve Sketching Part 1 Part 2 (4.4)
  
• Curve Sketching Part 2 and L'Hopital's Rule Part 1 (4.5)
• L'Hopital's Rule Part 2 (4.5)
  
• Optimization (4.6)  Example 1, Example 2, Example 3
  
• Anti-Derivatives (4.8)

Chapter 5

• The Area Problem (5.1, 5.2, 5.3) Part 1   Part 2    
  
• FTC (pt 2) practice (5.3 and 5.4)
• FTC Part 1 (5.4)
  
• U-Substitution (5.5) Part 1   Example 3  Example 4   Example 5   Example 6   Example 7
• Area between curves (5.6)
  

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