Math 240-Calculus III, Summer 2011 (First Session)
Instructor: Shanshan Ding (Office: DRL 4C11; Email: shanshand [at] math [dot] upenn [dot] edu)| Date | Content | Homework |
|---|---|---|
| Week 1 (HW due on May 31) | ||
| May 23 | Introduction & logistics; § 7.6 Vector Spaces | § 7.6: 2, 5, 19, 21, 22*, 26 |
| May 24 | § 8.1 Matrix Algebra § 8.2 Systems of Linear Algebraic Equations |
§ 8.1: 3, 12, 13, 15, 18, 23, 28, 33, 36*, 38 § 8.2: 5, 7*, 9*, 20 |
| May 25 | § 8.3 Rank of a Matrix § 8.4 Determinants § 8.5 Properties of Determinants |
§ 8.3: 1, 5, 9, 13*, 16*, 17 § 8.4: 3, 7, 21*, 29 § 8.5: 4, 7, 12*, 15, 21, 31*, 33, 37, 39* |
| May 26 | Quiz 1 (on § 7.6 and 8.1-8.2) § 8.6 Inverse of a Matrix |
Quiz 1 solutions § 8.6: 1, 5, 9, 11, 19*, 21, 27, 49*, 51 |
| Week 2 (HW due on June 7) | ||
| May 31 | § 8.8 The Eigenvalue Problem § 8.12 Diagonalization |
§ 8.8: 1, 6, 12, 15, 21*, 26* § 8.12: 5, 15*, 19, 40* |
| June 1 | § 3.1 Preliminary Theory: Linear Equations § 3.3 Homogeneous Linear Equations with Constant Coefficients |
§ 3.1: 1*, 3, 7, 15*, 18, 21, 31, 33, 36 § 3.3: 3, 11, 15, 16*, 37* |
| June 2 | Quiz 2 (on § 8.3-8.6, 8.8, and 8.12) § 3.4 Undetermined Coefficients § 3.6 Cauchy-Euler Equation |
Quiz 2 solutions
§ 3.4: 1, 6*, 17*, 25, 27, 33 § 3.6: 1, 9, 11*, 15*, 27 |
| Week 3 (HW due on June 14) | ||
| June 6 | § 3.8 Linear Models: Initial-Value Problems § 10.1 Preliminary Theory: Systems of Differential Equations |
§ 3.8: 3*,7, 25, 31* § 10.1: 5, 7, 13, 19*, 25* |
| June 7 | § 10.2 Homogeneous Linear Systems | § 10.2: 5, 14*, 24*, 25, 27*, 33 |
| June 8 | § 10.3 Solution by Diagonalization Preparations for § 5.1-5.2 |
§ 10.3: 1, 5*, 10 § 5.1: 3, 9, 11, 15; § 5.2: 5, 9 |
| June 9 | Review for the midterm
(read here!) The midterm will cover § 8.1-8.6, 8.8, 8.12, 3.1, 3.3-3.4, 3.6, 3.8, and 10.1-10.3; § 7.6 will not be explicitly tested | Practice with linear algebra & ODE problems (except those on power series methods) from past Math 240 finals |
| Week 4 (HW due on June 21) | ||
| June 13 | Midterm | Midterm solutions |
| June 14 | § 5.1 Solutions about Ordinary Points § 5.2 Solutions about Singular Points |
§ 5.1: 21*, 31 § 5.2: 15*, 21, 27 (just one solution), 33 (try) |
| June 15 | § 9.1 Vector Functions § 9.4 Partial Derivatives § 9.5 Directional Derivatives |
§ 9.1: 3, 7, 13*, 15, 17, 23, 25*, 29*, 33, 39 § 9.4: 13, 27, 33*, 39, 49, 53 (try) § 9.5: 1, 11, 16*, 23, 27, 31* |
| June 16 | Quiz 3 (on § 5.1-5.2) § 9.6 Tangent Planes and Normal Lines § 9.7 Divergence and Curl |
Quiz 3 solutions § 9.6: 1, 15, 25*, 30* § 9.7: 1, 9*, 13, 27*, 33, 39 |
| Week 5 (HW due on June 28) | ||
| June 20 | § 9.8 Line Integrals § 9.9 Independence of Path |
§ 9.8: 1*, 2, 7, 19, 21*, 23, 28 § 9.9: 1, 3, 5, 7*, 10, 21, 25*, 27 |
| June 21 | § 9.10 Double Integrals § 9.11 Double Integrals in Polar Coordinates § 9.12 Green's Theorem |
§ 9.10: 1, 11, 13*, 23, 29*, 35, 40 § 9.11: 1, 5*, 8, 25, 28, 32* § 9.12: 1, 5, 10, 13*, 18, 21 (try), 24*, 26, 29 |
| June 22 | § 9.13 Surface Integrals § 9.14 Stokes' Theorem |
§ 9.13: 1, 5, 11*, 19, 27, 33*, 37 § 9.14: 1, 3, 5*, 11, 15, 17* |
| June 23 | Quiz 4 (on § 9.1 and 9.4-9.12) § 9.15 Triple Integrals § 9.16 Divergence Theorem |
Quiz 4 solutions § 9.15: 4, 7, 9*, 13, 15, 19, 21*, 53, 77 § 9.16: 3, 7*, 11, 15, 17* |
| Week 6 | ||
| June 27 | § 9.17 Change of Variables in Multiple Integrals | § 9.17: 1, 2, 28, 29 |
| June 28 | Review for the final (my scratch work) | Practice with past Math 240 finals |
| June 29 | Office hour in lieu of class | Get a good night of sleep! |
| June 30 | Final | Final solutions |