### Math 101, Section 951

Course syllabus

Suggested textbook: Early Transcendentals (7th edition) by James Stewart

#### Meeting times:

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

#### Mark breakdown

50% - Final exam
40% - Quizzes (best 4 of 5)
10% - WeBWorK

#### 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

## The final will be held Friday, August 19, at 15.30, in Buchanan A101

### Final exams from previous years

 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 Solutions 2016/07/28 Lecture Twelve Approximation, separable differential equations 7.7, 9.3 2016/07/29 Lecture Thirteen Introduction to series, properties and examples, the integral test 11.2-11.3 2016/08/01 BC Day No lecture 2016/08/03 Quiz four Solutions 2016/08/04 Lecture Fourteen The comparison test, alternating series, absolute and conditional convergence 11.5-11.6 2016/08/05 Lecture Fifteen Power series, Taylor series 11.8-11.10 2016/08/08 Lecture Sixteen Power series, Taylor series (cont.) 11.8-11.10 2016/08/10 Quiz five Solutions 2016/08/11 Lecture Seventeen Review Review problems

#### 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.