 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 
5.25.3 


2016/07/11 
Lecture Five 
FTC continued; indefinite integration, usubstitution 
5.35.5 

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 
7.37.4 


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 
11.311.4 

2016/08/03 
Quiz four 



2016/08/04 
Lecture Fifteen 
Alternating series, absolute and conditional convergence 
11.511.6 

2016/08/05 
Lecture Sixteen 
Power series, Taylor series 
11.811.10 


2016/08/08 
Lecture Seventeen 
Power series, Taylor series (cont.) 
11.811.10 

2016/08/10 
Quiz five 



2016/08/11 
Lecture Eighteen 
Review 

