MAT137Y1 Calculus! Summer 2019 LEC0101
Lecturer: Kathlyn Dykes
Email: kathlyn.dykes@mail.utoronto.ca
Class Time: Wednesday and Friday: 1pm - 4pm in MP102
Office Hours: Wednesday and Friday: 4pm - 5pm in PG003
Unit 1: Introduction to logic, quantifiers, definitions and proofs
Video playlist for Unit 1
| Date |
Topics |
Required Videos |
Textbook Sections |
Lecture Slides |
| Wed, May 8 |
Sets and quantifiers |
1.1 - 1.6 |
1.1 - 1.3 |
slides |
| Fri, May 10 |
Conditionals and proofs |
1.7 - 1.15 |
1.3, 1.4 |
slides |
Problem set 0
Problem set 1
Problem set 2
Proof-Writing Problems (These are the same questions as during the year)
Unit 2: Limits and continuity
Video Playlist for Unit 2
Week 2 survery link
| Date |
Topics |
Required Videos |
Textbook Sections |
Lecture Slides |
| Wed, May 15 |
Distances and limits |
2.1 - 2.6 |
1.2, 1.8, 2.1, 2.2 |
slides |
| Fri, May 17 |
Limits laws and proofs |
2.7 - 2.13 |
2.2, 2.3 |
slides |
| Wed, May 22 |
Continuity |
2.14 - 2.20 |
2.1 - 2.4 |
slides |
| Fri, May 24 |
IVT, EVT, derivatives |
2.21, 2.22, 3.1 - 3.5 |
2.5, 3.1, 3.3 |
slides |
Problem set A (Not to be submitted)
Problem set 3
Practice problems from the textbook
Unit 3: Derivatives
Video Playlist for Unit 3
Week 4 survery link
| Date |
Topics |
Required Videos |
Textbook Sections |
Lecture Slides |
| Wed, May 29 |
Differentiation |
3.6 - 3.12 |
3.1, 3.3 - 3.7 |
slides |
| Fri, May 31 |
Differentiation, related rates, Inverses |
3.13 - 3.20, 4.1, 4.2 |
3.4 - 3.7, 4.7, 1.5, 1.7 |
slides |
Unit 4 and 5: Inverse functions and inverse trigonometric functions, The Mean Value Theorem and applications
Video Playlist for Unit 4 and
Video Playlist for Unit 5
| Date |
Topics |
Required Videos |
Textbook Sections |
Lecture Slides |
| Wed, June 5 |
Inverses, local extrema |
4.3 - 4.8, 5.1 - 5.4 |
1.7, 3.5, 3.6, 4.1 |
slides |
| Fri, June 7 |
Rolle's, MVT |
5.5 - 5.12 |
4.2, 4.3 |
slides |
Problem set 4
Unit 6: Applications of the derivative
Video Playlist for Unit 6
| Date |
Topics |
Required Videos |
Textbook Sections |
Lecture Slides |
| Wed, June 12 |
Optimization, L'Hopital's Rule |
6.1 - 6.10 |
4.4 - 4.6, 4.8 |
slides |
| Fri, June 14 |
Concavity, asymptotes, graphing |
6.11 - 6.16 |
2.1, 4.9 |
slides |
Problem set B (Not to be submitted)
Practice Problems from the textbook