Date | Topics | Required videos | Textbook sections | Lecture slides |
---|---|---|---|---|
Fri, 7 Sep | Introduction | --- | --- | slides |
Mon, 10 Sep | Sets | 1.1, 1.2, 1.3 | 1.1, 1.2 | slides |
Wed, 12 Sep | Quantifiers | 1.4, 1.5, 1.6 | 1.3 | slides |
Fri, 14 Sep | Conditionals | 1.7, 1.8, 1.9 | 1.3 | slides |
Mon, 17 Sep | Definitions and proofs | 1.10, 1.11, 1.12, 1.13 | 1.4 | slides |
Wed, 19 Sep | Induction | 1.14, 1.15 | 1.4 | slides |
Date | Topics | Required videos | Supplementary videos | Textbook sections | Lecture slides |
---|---|---|---|---|---|
Fri, 21 Sep | Distance and absolute value | 2.4 | --- | 1.2, 1.8 | slides |
Mon, 24 Sep | The intuitive idea of limit | 2.1, 2.2, 2.3 | --- | 2.1 | slides |
Wed, 26 Sep | The definition of limit | 2.5, 2.6 | --- | 2.2 | slides |
Fri, 28 Sep | Proofs from the definition of limit | 2.7, 2.8 | 2.9 | 2.2 | slides |
Mon, 1 Oct | Limit laws | 2.10, 2.11 | --- | 2.3 | slides |
Wed, 3 Oct | Squeeze theorem and more proofs with limits | 2.12, 2.13 | --- | 2.3 | slides |
Fri, 5 Oct | Continuity | 2.14, 2.15 | --- | 2.4 | slides |
Wed, 10 Oct | More on continuity | 2.16, 2.17 | 2.18 | 2.4 | slides |
Fri, 12 Oct | Computations | 2.19, 2.20 | --- | 2.1, 2.3, 2.4 | slides |
Mon, 15 Oct | IVT and EVT | 2.21, 2.22 | --- | 2.5 | slides |
Date | Topics | Required videos | Supplementary videos | Textbook sections | Lecture slides |
---|---|---|---|---|---|
Wed, 17 Oct | Definition of derivative | 3.1, 3.2, 3.3 | --- | 3.1 | slides |
Fri, 19 Oct | Differentiation rules | 3.4, 3.5, 3.8 | --- | 3.2, 3.3 | slides |
Mon, 22 Oct | Proof of the differentiation rules | 3.6, 3.7, 3.9 | --- | 3.1, 3.3 | slides |
Wed, 24 Oct | The chain rule | 3.10 | --- | 3.5 | slides |
Fri, 26 Oct | Trig derivatives and implicit differentiation | 3.11, 3.12 | --- | 3.4, 3.7 | slides |
Mon, 29 Oct | Derivatives of exponentials and logarithms | 3.13, 3.15, 3.16, 3.17, 3.18 | 3.14 | 3.4, 3.6, 3.7 | slides |
Wed, 31 Oct | Related rates | 3.19, 3.20 | --- | 4.7 | slides |
Date | Topics | Required videos | Textbook sections | Lecture slides |
---|---|---|---|---|
Fri, 2 Nov | Inverse functions | 4.1, 4.2 | 1.5, 1.7 | slides |
Mon, 12 Nov | One-to-one functions | 4.3, 4.4, 4.5 | 1.7, 3.6 | slides |
Wed, 14 Nov | Inverse trig functions | 4.6, 4.7, 4.8 | 3.5 | slides |
Date | Topics | Required videos | Supplementary videos | Textbook sections | Lecture slides |
---|---|---|---|---|---|
Fri, 16 Nov | Local extrema | 5.2, 5.3, 5.4 | 5.1 | 4.1 | slides |
Mon, 19 Nov | Rolle's Theorem | 5.5, 5.6 | --- | 4.2 | slides |
Wed, 21 Nov | MVT | 5.7, 5.8, 5.9 | --- | 4.2 | slides |
Fri, 23 Nov | Monotonocity | 5.10, 5.11, 5.12 | --- | 4.3 | slides |
Date | Topics | Required videos | Supplementary videos | Textbook sections | Lecture slides |
---|---|---|---|---|---|
Mon, 26 Nov | Applied optimization | 6.1, 6.2 | --- | 4.8 | slides |
Wed, 28 Nov | Indeterminate forms and L'Hôpital's Rule | 6.4, 6.5, 6.7 | 6.3, 6.6 | 4.4, 4.5, 4.6 | slides |
Fri, 30 Nov | Indeterminate forms and L'Hôpital's Rule | 6.8, 6.10 | 6.9 | 4.4, 4.5, 4.6 | slides |
Mon, 3 Dec | Concavity | 6.11, 6.12 | --- | 4.9 | slides |
Wed, 5 Dec | Asymptotes | 6.13, 6.14, 6.15 | 6.16 | 2.1, 4.9 | slides |
Thu, 6 Dec | Curve sketching | --- | --- | 4.9 | slides |
Date | Topics | Required videos | Lecture slides |
---|---|---|---|
Mon, 7 Jan | Sums and sigmas | 7.1, 7.2 | posted after lecture |
Wed, 9 Jan | Suprema and infima | 7.3, 7.4 | posted after lecture |
Fri, 11 Jan | Integrable functions | 7.5, 7.6, 7.7, 7.8, 7.9 | posted after lecture |
Mon, 14 Jan | More integrable functions | 7.5, 7.6, 7.7, 7.8, 7.9 | posted after lecture |
Wed, 16 Jan | Riemann sums | 7.10, 7.11, 7.12 | posted after lecture |
Date | Topics | Required videos | Supplementary videos | Textbook sections | Lecture slides |
---|---|---|---|---|---|
Fri, 18 Jan | Antiderivatives, indefinite integrals | 8.1, 8.2 | --- | 5.5, 5.6 | posted after lecture |
Mon, 21 Jan | FTC Part 1 | 8.3, 8.4 | --- | 5.6 | posted after lecture |
Wed, 23 Jan | FTC Part 2 | 8.5, 8.6 | 8.7 | 5.6 | posted after lecture |