CALCULUS:   Class Notes - New Syllabus

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Prof.  G. Battaly, Westchester Community College, Valhalla NY  (updated 09/19/2018)

OS Chapter 1   Functions
OS:  OpenStax   2.1  Tangent, Velocity, Area
       geogebra:  Tangent Line
2.2  Limits and 2.3 Evaluating Limits
       geogebra:  Special Indeterminante Limit: [sin x]/x
2.4  Continuity
Chapter 5:  Integration     Quick Review of Calc 1
        VIDEO of geogebra:  Definite Integral and Area l
         geogebra:  Definite Integral and Area
    5.4  Indefinite Integral; FTC asNet Change
5.5  Integration by Substitution
Chapter 6: 
Applications of Integration
  6.1 Area between Two Curves
      geogebra:  Area betw Two Curves  
6.2 Volume-Disk Method & Cross Section 
           videos: Disk Method  Disk Method-3D
                Solid from circles-around x Axis
                Solid: sqrt(x)-around y Axis
                Solid: Xsection -base ellipse, triangles
    6.3 Volume-Shell Method 
       videos: Shell Method   Shell Method-3D
                Shell: 2 curves around x=2
    6.5 Mean Value Theorum, Integrals & Average Value 
Chapter 7:    7.1 Integration by Parts  
      Reading: Applications in Engineering
    7.2 Trigonometric Integrals  
7.3 Integration by Trig Substitution 
    7.4 Integration by Partial Fractions 
    7.5 Strategy:  Which Approach?
    7.6 CAS, tables
    7.7 Approximate Integration
    7.8 Improper Integrals
          Integral with Infinite Limit - Video
     Powerpoints: Introduction, Definition
Chapter 8 :    8.1 Arc Length
Chapter 11 :    11.1 Sequences       *** Series/Tests Summary Chart ***
    11.2 Series
    11.3 and 11.4 Integral Test, Direct Comparison & Limit Tests
Helpful sites:   11.5 Alternating Series & 11.6 Ratio and Root Tests
Convergence: R, IC   11.8 Power Series & 11.9 Functions as Power Series
Find Taylor Series   11.10 Taylor and Maclaurin Series

Equation Plotter

Last Updated 09/19/18
By Prof. Battaly,