 Lecture notes 
Topics 
Textbook section 
Comments 

2015/01/05 
Lecture One 
Introduction, notation, motivation 
5.1 

2015/01/07 
Lecture Two 
Riemann sums, definite integrals 
5.15.2 

2015/01/09 
Lecture Three 
Properties of integrals, the fundamental theorem of calculus 
5.25.3 


2015/01/12 
Lecture Four 
The fundamental theorem of calculus (cont.) 
5.25.3 

2015/01/14 
Lecture Five 
Indefinite integrals, substitution 
5.45.5 
WeBWorK 1 due 
2015/01/16 
Lecture Six 
Substitution of definite integrals, even and odd functions 
5.5 


2015/01/19 
Lecture Seven 
Areas between curves 
6.1 

2015/01/21 
Lecture Eight 
Volumes, revolution 
6.2 
WeBWorK 2 due 
2015/01/23 
Lecture Nine 
Work, average value 
6.46.5 
Link to practice midterms 

2015/01/26 
Lecture Ten 
Midterm discussion, integration by parts 
7.1 

2015/01/28 
Lecture Eleven 
Integration of trigonometric functions 
7.17.2 
WeBWorK 3 due 
2015/01/30 

Midterm One 



2015/02/02 
Lecture Twelve 
Further trigonometric integrals, integration by trigonometric substitution 
7.27.3 
Midterm 1 solutions 
2015/02/04 
Lecture Thirteen 
Integration by trigonometric substitution (cont.), integration by partial fractions 
7.37.4 
WeBWorK 4 due 
2015/02/06 
Lecture Fourteen 
Integration by partial fractions (cont.) 
7.4 


2015/02/09 

Family day 

No lecture 
2015/02/11 
Lecture Fifteen 
Finishing partial fractions, approximate integration 
7.4, 7.7 
WeBWorK 5 due 
2015/02/13 
Lecture Sixteen 
Approximate integration (cont.), improper integrals of the first kind 
7.78 


2015/02/1620 
Reading Week 


No lecture 

2015/02/23 
Lecture Seventeen 
Improper integrals of the second kind, centre of mass 
7.8, 8.3 

2015/02/25 
Lecture Eighteen 
Separable differential equations 
9.3 
WeBWorK 6 due 
2015/02/27 
Lecture Nineteen 
Introduction to sequences 
11.1 


2015/03/02 
Lecture Twenty 
Properties of sequences 
11.1 

2015/03/04 
Lecture TwentyOne 
Examples of sequences, introduction to series 
11.111.2 
WeBWorK 7 due 
2015/03/06 
Lecture TwentyTwo 
Series: properties and examples 
11.2 
Link to practice midterms 

2015/03/09 
Lecture TwentyThree 
The integral test 
11.3 

2015/03/11 
Lecture TwentyFour 
Estimation, the comparison test 
11.4 
WeBWorK 8 due 
2015/03/13 

Midterm two 



2015/03/16 
Lecture TwentyFive 
Midterm discussion, the comparison test (cont.) 
11.4 
Midterm 2 solutions 
2015/03/18 
Lecture TwentySix 
Alternating series 
11.5 
WeBWorK 9 due 
2015/03/20 
Lecture TwentySeven 
Absolute and conditional convergence 
11.6 


2015/03/23 
Lecture TwentyEight 
Power series 
11.8 

2015/03/25 
Lecture TwentyNine 
Functions as power series 
11.9 
WeBWorK 10 due 
2015/03/27 
Lecture Thirty 
Taylor series 
11.10 


2015/03/30 
Lecture ThirtyOne 
Taylor series (cont.) 
11.10 
Visualizing Taylor series 
2015/04/01 
Lecture ThirtyTwo 
Math is a wonderful thing! 

WeBWorK 11 due 
2015/04/03 

Good Friday 

No lecture 

2015/04/06 

Easter Monday 

No lecture 
2015/04/08 
Lecture ThirtyThree 
Review session 1 

WeBWorK 12 due 
2015/04/10 
Lecture ThirtyFour 
Review session 2 

So long, and thanks for all the fish! 