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.

### Course outline

The topics for MATH 101 are organized into 12 “weeks” as given in the table below. Each “week” below corresponds to a single WeBWorK assignment with the corresponding number. A “week” represents approximately 150 minutes of class time, not necessarily an exact calendar week. This table indicates the sections in each of the recommended textbooks where the week's topics can be found (not all topics appear in all books).

TopicsCLPApexStrangActiveMOOCStewart
Week 1 Areas and distances
The definite integral
1.1
1.1, 1.2
5.2, 5.3 5.1, 5.5 4.1, 4.2
4.3
12.1, 12.2 5.1
5.2
Week 2 Fundamental Theorem of Calculus
Indefinite integrals, Net Change Theorem
1.3 5.4
5.1
5.7
5.2, 5.5
4.4, 5.2
5.1
13.1
5.3
5.4
Week 3 Substitution Rule
Area between curves
1.4
1.5
6.1
5.4, 7.1
5.4, 5.5
8.1
5.3
6.1
14.1
13.2
5.5
6.1
Week 4 Volumes
Work
Average value of a function
1.6
2.1
2.2
7.2
7.5
5.4
8.1
8.6
5.6
6.2
6.4
4.3
15.1

6.2
6.4
6.5
Week 5 Integration by parts
Trigonometric integrals
1.7
1.8
6.2
6.3
5.4, 7.1
7.2
5.4

14.3
14.2
7.1
7.2
Week 6 Trigonometric substitutions
Partial fractions
1.9
1.10
6.4
6.5
7.3
7.4

5.5
7.3
7.4
Week 7 Approximate integration
Improper integrals
Centre of mass
1.11
1.12
2.3
5.5
6.8
5.8
7.5
8.5
5.6
6.5
6.3
7.7
7.8
8.3
Week 8 Separable differential equations
Sequences
2.4
3.1

8.1
6.5
2.6
7.4
8.1
9.3
11.1
Week 9 Series
Integral Test
3.2, 3.3
3.3
8.2
8.3
6.6, 10.0
10.2
8.2, 8.3   11.2
11.3
Week 10 Comparison Tests
Alternating series
3.3 8.3
8.5
10.2
10.3
8.3
8.4
11.4
11.5
Week 11 Absolute convergence and the Ratio Test
Power series
3.3, 3.4
3.5.1
8.4, 8.5
8.6
10.2, 10.3
10.1, 10.5
8.3, 8.4
8.6
11.6
11.8
Week 12 Representation of functions as power series
Taylor and Maclaurin series
3.5.2, 3.6
3.6
8.6
8.8
10.1, 10.5
10.4
8.6
8.5
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:

• CLP refers to the UBC MATH 101 course notes.
• APEX refers to APEX Calculus by Hartman et al.
• Strang refers to Calculus Online Textbook from MIT Open Courseware by Strang.
• Active refers to Active Calculus by Boeklins, Austin, and Schlicker.
• MOOC refers to MOOCulus by Fowler and Snapp.
• Stewart refers to Calculus: Early Transcendentals by Stewart.

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.