Learn calculus on your mobile device! This ebook integrates text with online video to enable learning anywhere, anytime on smart phones, tablets and laptops.

Join passionate digital teacher and best-selling author Chris Tisdell for a unique educational journey involving fun and engaging YouTube videos to be used in conjunction with this calculus text.  

Special features include:-

• Open learning design
  
• Multimodal learning format
  
• Live–streaming presentations
  
• Active learning spaces
  
• Optimization for mobile devices.
  

1. Functions of Two Variables 
   
   1. Partial Derivatives 
      
   2. Second Order Partial Derivatives 
      
   3. Chain Rule for Partial Derivatives 
      
   4. Error Estimation 
      
   5. Normal Vector and Tangent Plane 
      
2. Techniques of Integration 
   
   1. Integration by Substitution 
      
   2. Integrals of Trigonometric Powers 
      
   3. Integral of an Odd Powers of Cosine 
      
   4. Reduction Formula for Integrals 
      
   5. Integration With Irreducible Denominators 1
      
   6. Integration With Irreducible Denominators 2
      
   7. Integration by Partial Fractions 
      
3. First Order Ordinary Differential Equations 
   
   1. Separable Equations 1
      
   2. Separable Equations 2
      
   3. Linear First Order Equations 1
      
   4. Linear First Order Equations 2
      
   5. Exact First Order Equations 
      
4. Second Order Ordinary Differential Equations 
   
   1. Real and Unequal Roots 
      
   2. Real and Equal Roots 
      
   3. Complex Roots 
      
   4. Inhomogenous Problem 
      
5. Sequences and Series of Constants 
   
   1. Basic Limits of Sequences 
      
   2. Limits via the Squeeze Theorem 
      
   3. Telescoping Series 
      
   4. The Integral Test for Series 
      
   5. The Comparison Test for Series 
      
   6. The Ratio Test for Series 
      
   7. The Alternating Series Test 
      
6. Power Series 
   
   1. Power Series and the Interval of Convergence 
      
   2. Computing Maclaurin Polynomials 
      
   3. Applications of Maclaurin Series 
      
7. Applications of Integration 
   
   1. Computing Lengths of Curves 
      
   2. Finding Surface Areas by Integration 
      
   3. Finding Volumes by Integration