Math 171            Fall 2013

   Lecture Notes 

This page will be updated as the semester progresses.

Exam I Lectures

WEEK 1

•  Section 1.1 (Vectors)         Completed Notes                                                   
  

• Section 1.2 (Dot product) Completed Notes

• Section 1.3(Vector functions)   Completed Notes

•  Section 2.2 (The limit of a function)                         Completed Notes

• Section 2.4 (The precise definition of a  limit)            Completed Notes

• Section 2.3 (Calculating Limits Using the Limit Laws)  Completed Notes

•  Section 2.6 (Limits at Infinity: Horizontal Asymptotes) Completed Notes

• Section 2.5 (Continuity)                              Completed Notes

• Section 2.7 (Tangents, velocities, and other rates of change)      Completed Notes

•  Section 3.1 (Derivative)            Completed Notes

• Section 3.2 (Differentiation formulas)  Completed Notes

•  Section 3.4 (Derivatives of the trigonometric functions) Completed Notes

•   Section 3.5 (Chain rule)         Completed Notes

•   Section 3.6 (Implicit differentiation)      Completed Notes

•   Section 3.8 (Higher derivatives)    Completed Notes

•  Section 3.7 (Derivatives of vector-valued functions)      Completed Notes

•  Section 3.9 (Tangents of parameterized curves)          Completed Notes

•  Section 3.11(Differentials and approximation)           Completed Notes

•   Section 3.10 (Related rates)                     Completed Notes

•   Section 4.1 (Exponential functions)         Completed Notes          
  

• Section 4.2 (Inverse functions)                  Completed Notes        
  
• Section 4.3(Logarithmic functions)                 Completed Notes                    

•  Section 4.4 (Derivatives of logarithms)       Completed Notes  
  

• Section 4.6(Inverse trigonometric functions)           Completed Notes                                 
• Section 4.8 (L'Hospital's Rule)                    Completed Notes

• Section 5.2  (Maximum and Minimum values)   Completed Notes
  

• Section  5.3 (Derivatives and shapes of curves)    Completed Notes
  

• Section 5.5  (Applied max/min)                             Completed Notes

• Section 5.7   (Antiderivatives)      Completed Notes

• Section 6.1 (Sigma Notation)       Completed Notes

• Section 6.2 (Area)                        Completed Notes

•  Section 6.3 (Definite integral)                                Completed Notes                           

•   Section 6.4 (The Fundamental Theorem of Calculus)     Completed Notes
  

•  Section 6.5 (Integration by Substitution) Completed Notes