Date | Tentative class plan: |
Mon, Aug 29 | No class: Hurricane Irene |
Wed, Aug 31 | Welcome! § 1.1-1.2: Introduction to Metric Spaces and Euclidean Spaces Also covering § 13 of Ross |
Mon, Sep 5 | No class: College Closed (Labor Day) |
Wed, Sep 7 | Quiz. § 1.3-1.4: Limits, Continuity, and Sequences Also covering § 21 of Ross (§ 1.5 Completeness is required reading unless you have already learned this material.) |
Mon, Sep 12 | § 1.6: Compactness Also covering parts of § 13 and 21 of Ross |
Wed, Sep 14 | Quiz. § 1.7: Connectedness (also covering Ross § 22) § 1.8: Uniform Continuity |
Mon, Sep 19 | § 2.1-2.2: Differentiability |
Wed, Sep 21 | Quiz. § 2.3: The chain rule § 2.10: Vector valued functions |
Mon, Sep 26 | More on the chain rule § 2.4: The mean value theorem |
Wed, Sep 28 | No classes |
Mon, Oct 3 | § 2.6: Higher-Order partial derivatives § 2.7: Taylor's Theorem (multiple variables) |
Wed, Oct 5 | Quiz. § 2.8: Critical Points |
Mon, Oct 10 | No class: College Closed (Columbus Day) |
Wed, Oct 12 | Quiz. § 2.9: Extreme Values |
Mon, Oct 17 | § 3.1-3.2: The Implicit Function Theorem and curves in the plane |
Wed, Oct 19 | Quiz. § 3.1&3.3: The Implicit Function Theorem and Surfaces in R3 |
Mon, Oct 24 | Review for midterm. |
Wed, Oct 26 | Midterm. |
Mon, Oct 31 | § 3.4: Transformations and coordinate systems |
Wed, Nov 2 | § 4.1: Review of integration on the line § 4.2: Integration in Rn |
Mon, Nov 7 | 4.2: Integration in Rn |
Wed, Nov 9 | 4.2: Integration in Rn |
Mon, Nov 14 | § 4.3: Multiple and iterated integrals |
Wed, Nov 16 | § 4.4: Change of variables |
Mon, Nov 21 | § 5.1: Arc length and line integrals |
Wed, Nov 23 | § 5.2: Green's Theorem |
Mon, Nov 28 | § 5.2: Green's Theorem § 5.3: Surface area and surface integrals |
Wed, Nov 30 | § 5.3: Surface area and surface integrals § 5.4: Vector Integrals |
Mon, Dec 5 | § 5.5: The Divergence Theorem |
Wed, Dec 7 | § 5.7: Stoke's Theorem |
Mon, Dec 12 | § 5.8: Integrating vector derivatives |
Wed, Dec 14 | Review for final. |