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 | slides | 12.1 |
Mon, 8 Jan | Suprema and infima | 7.3, 7.4 | slides | 11.1 |
Wed, 10 Jan | Integrable functions | 7.5, 7.6, 7.7, 7.8, 7.9 | slides | --- |
Fri, 12 Jan | More integrable functions | 7.5, 7.6, 7.7, 7.8, 7.9 | slides | --- |
Mon, 15 Jan | Riemann sums | 7.10, 7.11, 7.12 | slides | 5.2, 5.8 |
Date | Topics | Videos to watch before lecture | Slides used in lecture | Textbook sections this corresponds to |
---|---|---|---|---|
Wed, 17 Jan | Antiderivatives, indefinite integrals | 8.1, 8.2 | slides | 5.3, 5.4 |
Fri, 19 Jan | FTC Part 1 | 8.3, 8.4 | slides | 5.3, 5.6, 5.8 |
Mon, 22 Jan | FTC Part 2 | 8.5, 8.6, 8.7 | slides | 5.4, 5.5, 6.1 |
Date | Topics | Required videos | Recommended videos | Slides used in lecture | Textbook sections |
---|---|---|---|---|---|
Wed, 24 Jan | Integration by substitution | 9.1 | 9.1 -- 9.4 | slides | 5.7 |
Fri, 26 Jan | Integration by parts | 9.6 | 9.5 -- 9.9 | slides | 8.2 |
Mon, 29 Jan | Integration of trig functions | 9.10, 9.11 | 9.10 -- 9.12 | slides | 8.3 |
Wed, 31 Jan | Trig substitution | 9.13 | 9.13 -- 9.14 | slides | 8.4 |
Fri, 2 Feb | Integration of rational functions | 9.15 | 9.15 -- 9.17 | slides | 8.5 |
Date | Topics | Videos to watch before lecture | Slides used in lecture | Textbook sections this corresponds to |
---|---|---|---|---|
Fri, 9 Feb | Convergence of sequences | 11.1, 11.2, 11.3 | slides | 11.2, 11.3 |
Mon, 12 Feb | Bounded and monotonic sequences | 11.4, 11.5 | slides | 11.2, 11.3 |
Wed, 14 Feb | The big theorem for sequences | 11.6, 11.7, 11.8 | slides | 11.3, 11.4 |
Date | Topics | Required videos | Recommended videos | Slides used in lecture | Textbook sections |
---|---|---|---|---|---|
Fri, 16 Feb | Definition of improper integral | 12.1, 12.4 | 12.1--12.6 | slides | 11.7 |
Mon, 26 Feb | The Basic Comparison Test | 12.7, 12.8 | slides | 11.7 | |
Wed, 28 Jan | The Limit-Comparison Test | 12.9, 12.10 | slides | 11.7 |
Date | Topics | Required videos | Recommended videos | Slides used in lecture | Textbook sections |
---|---|---|---|---|---|
Fri, 2 Mar | Definition of series | 13.2, 13.3, 13.4 | 13.1 | slides | 12.2 |
Mon, 5 Mar | Properties of series | 13.5, 13.6, 13.7 | slides | 12.2 | |
Wed, 7 Mar | More properties of series | 13.8, 13.9 | slides | 12.2 | |
Fri, 9 Mar | Integral test and comparison tests | 13.10, 13.11, 13.12 | slides | 12.3 | |
Mon, 12 Mar | Alternating series | 13.13, 13.14 | slides | 12.5 | |
Wed, 14 Mar | Absolute and conditional convergence | 13.15 | 13.16, 13.17 | slides | 12.5 |
Fri, 16 Mar | Ratio test | 13.18, 13.19 | slides | 12.4 |
Date | Topics | Required videos | Recommended videos | Slides used in lecture | Textbook sections |
---|---|---|---|---|---|
Mon, 19 Mar | Power series | 14.1, 14.2 | Will be posted after lecture | 12.8, 12.9 | |
Wed, 21 Mar | Taylor polynomials | 14.3, 14.4 | Will be posted after lecture | 12.6, 12.7 | |
Fri, 23 Mar | Taylor series | 14.5, 14.6 | Will be posted after lecture | 12.6, 12.7 | |
Mon, 26 Mar | Analytic functions | 14.7, 14.8 | Will be posted after lecture | 12.6, 12.7 | |
Wed, 28 Mar | TBA | TBA | TBA | Will be posted after lecture | TBA |
Mon, 2 Apr | TBA | TBA | TBA | Will be posted after lecture | TBA |
Wed, 4 Apr | TBA | TBA | TBA | Will be posted after lecture | TBA |
Thu, 5 Apr | TBA | TBA | TBA | Will be posted after lecture | TBA |