Math 101 Section 212
Integral Calculus with Applications to Physical Sciences and Engineering
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 101 final exams
and solutions
here
Math Learning Centre Drop-In (free
tutoring
in the LSK 301 and 302)
here
The AMS offers
tutoring services
.
Notes
Tables of formulae
Trig [
identities
,
review
]
Derivatives. [
pdf
]
Indefinite integrals. [
pdf
]
Properties of exponentials and logarithms. [
pdf
]
Taylor Expansions. [
pdf
]
Warnings [
pdf
]
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
]
Areas [
version of February 4, 2015
]
Volumes [
version of February 4, 2015
]
Work [
pdf
]
Averages [
pdf
]
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
]
Improper Integrals [
version of March 6, 2015
]
Numerical Integration [
version of February 7, 2015
]
Center of Mass [
version of February 8, 2015
]
Separable Differential Equations [
version of February 16, 2015
]
Sequences and Series [
version of February 19, 2015
]. Review of [
Taylor Polynomials
]
Additional Notes (not included in the course)
Roots of Polynomials [
pdf
]
Integration of secθ, cscθ, sec
^{3}
θ and csc
^{3}
θ [
pdf
]