Math 105 Section 204
Integral Calculus with Applications to Commerce and Social Sciences

Instructor

Joel Feldman

Additional Help and Resources

• Mathematics Department Exam Database
• The UBC math wiki page with MATH 105 final exams and solutions here
• Math Learning Centre Drop-In (free tutoring in the LSK building) here
• Piazza question-and-answer forum

Notes

• Tables of formulae
  • Trig [ identities , review]
  • Derivatives. [ pdf ]
  • Indefinite integrals. [ pdf ]
  • Properties of exponentials and logarithms. [ pdf ]
  • Taylor Expansions. [ pdf ]
• Warnings [ pdf ]

• Vectors and Planes [ version of January 11, 2014 ]
• Sketching Surfaces in 3d [ version of January 12, 2014, overheads ]
• Partial Derivatives [ pdf ]
• Finding Maxima and Minima [ version of January 29, 2014 ]
• Definition of the Integral [ version of January 29, 2015 ]
• The Basic Properties of the Integral [ version of January 29, 2015]
• The Fundamental Theorem of Calculus [ version of January 29, 2015 ]
• Substitution [ version of January 29, 2015 ]
• Integration by Parts [ version of January 31, 2015 ]
• Trigonometric Integrals [ version of February 3, 2015 ]
• Trigonometric Substitution [ version of February 3, 2015 ].     Review of [ inverse functions ]
• Partial Fractions [ version of February 3, 2015].     Tricks for finding [ roots of polynomials]
• Numerical Integration [ version of February 7, 2015]
• Improper Integrals [ version of February 5, 2015 ]
• Introduction to Differential Equations [ version of February 16, 2015 ]
• Probability [ version of March 7, 2015]
• Sequences and Series [ version of February 19, 2015].     Review of [ Taylor Polynomials]

Additional Notes (not included in the course)

• Quadric Surfaces [ pdf ]
• Mixed Partial Derivatives [ pdf ]