Martin Flashman's Courses
Math 110 Calculus II Spring, '11
MWRF     10:00-10:50     KA 104



Back to Martin Flashman's Home Page :) Last updated: 1/16/11
FINAL GRADES: Though final grades for the course are subject to my discretion, I will use the following overall percentages based on the total number of points for your work to determine the broader range of grades for the course.     A  85-100% ;   70- 84% ;  C  60- 60% ;  D  50- 59%  ;  F   0- 49% 

Students with Disabilities: Persons who wish to request disability-related accommodations should contact the Student Disability Resource Center in House 71, 826-4678 (voice) or 826-5392 (TDD). Some accommodations may take up to several weeks to arrange. http://www.humboldt.edu/disability/
Add/Drop policy: ** See the University rules and dates related to the following:
Students are responsible for knowing the University policy, procedures, and schedule for dropping or adding classes.
Emergency evacuation: Please review the evacuation plan for the classroom (posted on the orange signs) , and review http://studentaffairs.humboldt.edu/emergencyops/campus_emergency_preparedness.php for information on campus Emergency Procedures. PLEASE, take a moment to download and read this page carefully. Although it may seem as a waste of time to you right now, it may save your life one day and you will not have time to read it when you really need it.
During an emergency, information can be found campus conditions at: 826-INFO or http://www.humboldt.edu/emergency
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Differential Equations and Integration  
   Tangent Fields and Integral Curves. 
   Numerical Approximations. 
            Euler's Method
            Midpoints. 
            Trapezoidal Rule. 
            Parabolic (Simpson's) Rule. 
Integration of core functions (from Calc I)
Integration by Substutition
Integration by Parts. 
 
 Integration of Trigonometric Functions and Elementary Formulas. 
 Trigonometric Substitutions. 
 Integration of Rational Functions. 
            Simple examples. Simple Partial fractions. 
 Separation of Variables. 

Improper Integrals: Extending the Concepts of Integration. 
               Integrals with noncontinuous functions. 
               Integrals with unbounded intervals.
Applications 
Recognizing sums as the definite integral  
Areas (between curves).  
Volumes (cross sections- discs/rotation).
Work.

Parametric Equations- Arc length, tangents.
[NOT on final- polar coordinates- area, arc length, graphs. Conics.]

 

Taylor's Theorem. 
  Taylor Polynomials. Calculus. 
Using Taylor Polynomials to Approximate:  Error  Estimation. 
      Derivative form of the remainder. 
      Approximating known functions, integrals 
      Approximating solutions to diff'l equations using Taylor's theorem.

Sequences and Series: Fundamental Properties. 
  Sequences. 
  Simple examples and definitions: visualizing sequences. 
         How to find limits. 
         Key theory of convergence. 
             The algebra of convergence. 
             Convergence for monotonic sequences. 
  Geometric series. Harmonic series. Taylor approximations. 
Theory of convergence (series). 
     The divergence test. 
     Positive series. 
          Bounded convergence tests. 
           Integral tests. 
           Ratio test (Part I). 
           Absolute convergence. 
             Absolute convergence implies convergence. 
     Alternating Series Test. 
     Ratio test (Part II). 

Power Series: Polynomials and Series. 
 The radius and interval of convergence. 
 Functions and power series [derivatives and integrals]. 

 

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