Please note: this web page is from a past edition of MATH 101. Make sure you go to the current MATH 101 web page to get the proper information.
The topics for MATH 101 are organized into 12 “units” as given in the table below. Each “unit” corresponds to a single WeBWorK assignment with the corresponding number. A “unit” represents approximately one week (150–160 minutes) of class time, although not necessarily an exact calendar week. This table indicates the sections in each of the recommended textbooks where the unit's topics can be found (not all topics appear in all books).
Topics  CLP  Apex  Strang  Active  MOOC  Stewart  

Unit 1  Definition of the integral  1.1  5.2, 5.3  5.1, 5.5  4.1, 4.2, 4.3 
12.1, 12.2  5.1 
Unit 2 
Basic properties of the definite integral The Fundamental Theorem of Calculus 
1.2 1.3 
5.1, 5.4  5.2, 5.5, 5.7 
4.3, 4.4, 5.1, 5.2 
13.1  5.2, 5.3, 5.4 
Unit 3 
Substitution Area between curves 
1.4 1.5 
5.4, 6.1, 7.1 
5.4, 5.5, 8.1 
5.3, 6.1  13.2, 14.1  5.5, 6.1 
Unit 4 
Volumes Integration by parts 
1.6 1.7 
6.2, 7.2  5.4, 7.1, 8.1 
5.4, 6.2  14.3, 15.1  6.2, 7.1 
Unit 5 
Trigonometric integrals Trigonometric substitutions 
1.8 1.9 
6.3, 6.4  7.2, 7.3  14.2  7.2, 7.3  
Unit 6 
Partial fractions Numerical integration 
1.10 1.11 
5.5, 6.5  5.8, 7.4  5.5, 5.6  7.4, 7.7  
Unit 7 
Improper integrals Work 
1.12 2.1 
6.8, 7.5  7.5, 8.6  6.4, 6.5  6.4, 7.8  
Unit 8 
Averages Centre of mass Separable differential equations Sequences 
2.2 2.3.1 2.4.1 3.1 
5.4, 8.1  2.6, 5.6, 6.5, 8.5 
4.3, 6.3, 7.4, 8.1 
6.5, 8.3, 9.3, 11.1 

Unit 9 
Series The Divergence Test The Integral Test 
3.2 3.3.1 3.3.2 
8.2, 8.3  6.6, 10.0, 10.2 
8.2, 8.3  11.2, 11.3  
Unit 10 
The Comparison Test The Alternating Series Test 
3.3.3 3.3.4 
8.3, 8.5  10.2, 10.3  8.3, 8.4  11.4, 11.5  
Unit 11 
The Ratio Test Absolute and conditional convergence Power series: definitions 
3.3.5 3.4 3.5.1 
8.4, 8.5, 8.6 
10.1, 10.2, 10.3, 10.5 
8.3, 8.4, 8.6 
11.6, 11.8  
Unit 12 
Working with power series Taylor series 
3.5.2 3.6 
8.6, 8.8  10.1, 10.4, 10.5 
8.5, 8.6  11.9, 11.10 
If you hadn't guessed already, the columns correspond to the various notes and textbooks that we recommend for MATH 101 students:
Several of the formulas from the CLP notes are complicated enough that you do not have to memorize them: if a quiz or final exam question requires the formula to be used, then it will be included in the statement of the problem. You do need to know what they mean and how to work with them, however. The formulas that you do not have to memorize are:
If you want to brush up on material from your mathematical past that is used in MATH 101, the resources page contains links to some helpful files.
The list of MATH 101 learning outcomes from 2014 is very helpful—it contains specific items of knowledge and specific skills that you will be gaining in connection with the topics above. You can also get an excellent sense of what is being covered in this course by looking at the WeBWorK and suggested homework problems.