Math 105 Section 204
Integral Calculus with Applications to Commerce and Social Sciences
Instructor
Joel Feldman
E-mail
feldman@math.ubc.ca
Office
Math 221
Phone
604-822-5660
Home page
http://www.math.ubc.ca/~feldman/
Office hours
Location of lectures
Time of lectures
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 27, 2014
]
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
]