Date | Topics | Videos to watch before lecture | Slides used in lecture |
---|---|---|---|
Fri, 8 Sep | Introduction | --- | slides |
Mon, 11 Sep | Sets | 1.1, 1.2, 1.3 | slides |
Wed, 13 Sep | Quantifiers | 1.4, 1.5, 1.6 | slides |
Fri, 15 Sep | Conditionals | 1.7, 1.8, 1.9 | slides |
Mon, 18 Sep | Definitions and proofs | 1.10, 1.11, 1.12, 1.13 | slides |
Wed, 20 Sep | Induction | 1.14, 1.15 | slides |
Date | Topics | Videos to watch before lecture | Slides used in lecture | Textbook sections this corresponds to |
---|---|---|---|---|
Fri, 22 Sep | Inequalities and absolute values | 2.4 | slides | 1.3 |
Mon, 25 Sep | The intuitive idea of limit | 2.1, 2.2, 2.3 | slides | 2.1 |
Wed, 27 Sep | The definitions of limit | 2.5, 2.6 | slides | 2.2 |
Fri, 29 Sep | More on the definitions of limit | 2.7, 2.8 | slides | 2.2 |
Mon, 2 Oct | The limit laws | 2.9, 2.10 | slides | 2.3 |
Wed, 4 Oct | More proof with limits, continuity | 2.11, 2.12, 2.13 | slides | 2.5, 2.4 |
Fri, 6 Oct | More continuity | 2.14, 2.15, 2.16 | slides | 2.4 |
Wed, 11 Oct | Trig limits and computations | 2.17, 2.18 | slides | 2.5 |
Fri, 13 Oct | IVT and EVT | 2.19, 2.20 | slides | 2.6 |
Date | Topics | Videos to watch before lecture | Slides used in lecture | Textbook sections this corresponds to |
---|---|---|---|---|
Mon, 16 Oct | Definition of derivative | 3.1, 3.2, 3.3 | slides | 3.1, 3.3, 3.4 |
Wed, 18 Oct | Differentiation rules | 3.4, 3.5, 3.8 | slides | 3.2, 3.3 |
Fri, 20 Oct | Proof of differentiation rules | 3.6, 3.7, 3.9 | slides | 3.2, 3.3 |
Mon, 23 Oct | Chain rule | 3.10 | slides | 3.5 |
Wed, 25 Oct | Trig derivatives and implicit differentiation | 3.11, 3.12 | slides | 3.6, 3.7 |
Fri, 27 Oct | Exponentials and logarithms | 3.13 to 3.18 | slides | --- |
Date | Topics | Videos to watch before lecture | Slides used in lecture | Textbook sections this corresponds to |
---|---|---|---|---|
Mon, 30 Oct | Inverse functions | 4.1, 4.2 | slides | 7.1 (partially) |
Wed, 1 Nov | One-to-one functions | 4.3, 4.4, 4.5 | slides | 7.1 (partially) |
Fri, 3 Nov | Inverse trigonometric functions | 4.6, 4.7, 4.8 | slides | 7.7 |
Date | Topics | Videos to watch before lecture | Slides used in lecture | Textbook sections this corresponds to |
---|---|---|---|---|
Mon, 13 Nov | Related rates | --- | slides | 4.10 |
Wed, 15 Nov | Local extrema | 5.1, 5.2, 5.3, 5.4 | slides | 4.3, 4.4 |
Fri, 17 Nov | Rolle's Theorem | 5.5, 5.6 | slides | 4.1 |
Mon, 20 Nov | MVT | 5.7, 5.8, 5.9 | slides | 4.1 |
Wed, 22 Nov | Increasing and decreasing functions | 5.10, 5.11, 5.12 | slides | 4.2, 4.4 |
Fri, 24 Nov | Applied optimization problems | --- | slides | 4.5 |
Date | Topics | Videos to watch before lecture | Slides used in lecture | Textbook sections this corresponds to |
---|---|---|---|---|
Fri, 5 Jan | Sums and sigmas | 7.1, 7.2 | Will be posted after lecture | 12.1 |
Mon, 8 Jan | Suprema and infima | 7.3, 7.4 | Will be posted after lecture | 11.1 |
Wed, 10 Jan | Integrable functions | 7.5, 7.6, 7.7, 7.8, 7.9 | Will be posted after lecture | --- |
Fri, 12 Jan | Riemann sums | 7.10, 7.11 | Will be posted after lecture | 5.2 |