Math 101, Section 951


Course syllabus

Suggested textbook: Early Transcendentals (7th edition) by James Stewart
Other helpful textbooks: See here

Meeting times:

Monday, Thursday, Friday 16.00-18.00
Wednesday 16.00-17.00 in LSK 200

Mark breakdown

Your grade for this course will be calculated as follows:
50% - Final exam
40% - Quizzes (best 4 of 5)
10% - WeBWorK

WeBWorK:

Go to this page, scroll down to MATH101-951_S2, and sign in. WeBWorK is due at 10pm on Mondays.

Office hours:

My office hours for Math 101 will be held in LSK 300B (next to the Math Learning Centre) at the following times:
Mondays - 12.00-13.00
Wednesdays - 11.00-12.00
Fridays - 13.00-14.00

Lecture notes Topics Textbook section Comments

2016/07/04 Lecture One Introduction, terminology, sequences 11.1
2016/07/06 Lecture Two Limits of sequences; examples 11.1
2016/07/07 Lecture Three Properties of sequences; Riemann sums 11.1; 5.1
2016/07/08 Lecture Four Definite integrals; the fundamental theorem of calculus 5.2-5.3

2016/07/11 Lecture Five FTC continued; indefinite integration, u-substitution 5.3-5.5
2016/07/13 Quiz one Solutions
2016/07/14 Lecture Six Even and odd functions; areas between curves 5.5, 6.1
2016/07/15 Lecture Seven Volumes and work 6.2, 6.4 We are skipping section 6.3

2016/07/18 Lecture Eight Average value, centres of mass 6.5, 7.1
2016/07/20 Quiz two Solutions
2016/07/21 Lecture Nine Integration by parts, trigonometric integrals
2016/07/22 Lecture Ten Integration by trigonometric substitution, partial fraction decompositions 7.3-7.4

2016/07/25 Lecture Eleven Partial fractions cont., improper integrals 7.4, 7.8
2016/07/27 Quiz three Areas/volumes, work, trig substitution, integration by parts
2016/07/28 Lecture Twelve Approximation, separable differential equations 7.7, 9.3
2016/07/29 Lecture Thirteen Introduction to series, properties and examples 11.2

2016/08/01 Lecture Fourteen The integral test, the comparison test 11.3-11.4
2016/08/03 Quiz four
2016/08/04 Lecture Fifteen Alternating series, absolute and conditional convergence 11.5-11.6
2016/08/05 Lecture Sixteen Power series, Taylor series 11.8-11.10

2016/08/08 Lecture Seventeen Power series, Taylor series (cont.) 11.8-11.10
2016/08/10 Quiz five
2016/08/11 Lecture Eighteen Review

Known errata


Lecture one: (p.1) The class is now held in LSK 200; office hour times are at the top of this page.
(p.3) For examples (1)-(4) and (6) of the recursive definitions, these are valid for n at least 1 (not 2)
(p.4) By definition, monotone means "increasing or decreasing," much as "age-inappropriate" means the material is too mature, or too immature, for the audience.
Lecture four: (p.2) We can remove the hypothesis that f(x) is nonnegative (although we still assume g(x) is the greater function).
(p.3) For FTC I (and its corollary), we must assume that f(x) is continuous, and that F(x) is its integral (from a to x).
(p.5) We assume for the example involving the secant function that our definite integral makes sense, i.e., that the secant is integrable on the interval [1, x].
(p.6) Our approach fails because one over x-squared is not integrable on the interval [-1, 1], not simply because it is not continuous.
Lecture five: (p.2) By my own "rule," the substitution ought to be u = x^2 (although our solution remains valid).
(p.4) The formula for the chain rule in reverse is valid whether we write f(x), or its derivative, in our formula, as long as only one or the other appears.
(p.5) (see note to p.4)
Lecture six: (p.4) The word I want is "systematic," not "systemic."
Lecture seven: (p.1) The sentence fragment which begins the lecture should end "... gives us its volume."
(pp. 1-2) We can remove the assumption (wherever it appears) that f(x) is nonnegative.

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