Back to John Weber's MAT254 Page
Back to MAT254 Assignments Page
Back to john-weber.com

---

Graph Paper with 2mm x 2mm divisions: pdf document (3 KB)
Graph Paper with 5mm x 5mm divisions: pdf document (2 KB)
(To save: right-click on link, select 'Save Target As...', select appropriate folder and click on Save)

---

• Section 7.1 – Integration by Parts
  • Read pp. 469 – 474
  • online resources:
    1. The Method of Integration by Parts - http://www.math.ucdavis.edu/~kouba/CalcTwoDIRECTORY/intbypartsdirectory/IntByParts.html
       This site provides a brief description of integration by parts.
       
       
• Section 7.2 – Trigonometric Integrals
  • Read pp. 476 – 482
  • online resources:
    1. Integrating Powers and Product of Sines and Cosines - http://www.sosmath.com/calculus/integration/powerproduct/powerproduct.html
       This site provides a brief description of integrating powers and product of sin(x) and cos(x).
    2. More on Product of Sines and Cosines - http://www.sosmath.com/calculus/integration/prosincos/prosincos.html
       This site provides a brief description of integrating product of sin(mx) and cos(nx).
    3. Other Trigonometric Powers - http://www.sosmath.com/calculus/integration/moretrigpower/moretrigpower.html
       This site provides a brief description of integrating powers of tan(x), cot(x), sec(x) and csc(x).
    
    
    
• Section 7.3 – Trigonometric Substitution
  • Read pp. 483 – 488
  • online resources:
    1. Techniques of Integration: Trigonometric Substitutions - http://www.sosmath.com/calculus/integration/trigsub/trigsub.html
       This site provides a brief description of integrating trig functions using substitution.
       
       
• Section 7.4 – Integration of Rational Functions by Partial Fractions
  • Read pp. 490 – 497
  • online resources:
    1. Partial Fraction Expansion of a Rational Function - http://mss.math.vanderbilt.edu/~pscrooke/MSS/partialfract.html
       This site provides a solver that will determine the partial fraction expansion of a user defined rational function.
    2. Quick Guide to Partial Fractions - http://www2.ncsu.edu/unity/lockers/users/f/felder/public/kenny/papers/partial.html
       This site provides a quick reminder on how you use the methods of partial fractions.
       
       
• Section 7.5 – Strategy for Integration
  • Read pp. 499 – 504
  • online resources:
    1. Integration Assistant - http://mss.math.vanderbilt.edu/~tschantz/MSS/inthelp.html
       This site provides a tool for finding the values of indefinite integrals. At each stage, the user is prompted with the next subproblem to be evaluated and offered a selection of various techniques of integration to try.
       
       
• Section 7.6 – Integration Using Tables and Computer Algebra Systems
  • Read pp. 505 – 509
  • online resources:
    1. Integration Table - www.teicontrols.com/notes/Calculus/ IntegrationTables.pdf
       This page is a table of integrals in a .pdf document.
       
       
• Section 7.8 – Improper Integrals
  • Read pp. 523 – 531
  • online resources:
    1. Improper Integrals - http://www.ugrad.math.ubc.ca/coursedoc/math101/notes/techniques/improper.html
       This site provides a detailed discussion of improper integrals and includes some java applets to support the discussion.
       
       

---

Back to John Weber's MAT254 Page
Back to MAT254 Assignments Page
Back to john-weber.com

---