where are polynomials 4. Partial Fractions Case 1: If degree of then do long division first Case 2: If degree of then do partial fraction expansion Substutution: 5a. Trig Substitution for Identity: Substutution: 5b. Trig Substitution for Identity: Substutution: 5c. Trig Substitution for Identity: 6. Table of Integrals book 7. Computer Algebra Systems (CAS) iPad app Riemann Sum, Midpoint Rule, Trapezoidal Rule, Simpson’s Rule, 8. Numerical Methods TI-84 Google of mathematics. Shows steps. Free. 9. WolframAlpha (See Harold’s Partial Fractions Cheat Sheet) Partial Fractions where are polynomials Condition and degree of If degree of Example Expansion Typical Solution (See Harold’s Series Cheat Sheet) Sequences & Series (Limit) Sequence Example: () Geometric Series only if where is the radius of convergence and is the interval of convergence
4. Partial Fractions where are polynomials Case 1: If degree of then do long division first Case 2: If degree of then do partial fraction expansion 5a. Trig Substitution for Substutution: Identity: 5b. Trig Substitution for Substutution: Identity: 5c. Trig Substitution for Substutution: Identity: 6. Table of Integrals book 7. Computer Algebra Systems (CAS) iPad app 8. Numerical Methods Riemann Sum, Midpoint Rule, Trapezoidal Rule, Simpson’s Rule, TI-84 9. WolframAlpha Google of mathematics. Shows steps. Free. Partial Fractions (See Harold’s Partial Fractions Cheat Sheet) Condition where are polynomials and degree of If degree of Example Expansion Typical Solution Sequences & Series (See Harold’s Series Cheat Sheet) Sequence (Limit) Example: () Geometric Series only if where is the radius of convergence and is the interval of convergence
Harolds_Calculus_Notes_Cheat_Sheet_2017.docx