COURSE INFO
SYLLABUS
SCHEDULE
HOMEWORK
OFFICE HOURS
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MATH 225, Fall 2009
Calculus 3
Daily Schedule
This page will be updated weekly with the topics covered in each class meeting.
Assignments
| 1 |
Tuesday, 9/1 |
§11.1: Introduction to Calc 3, Planes and 3-D Coordinates |
| 2 |
Wednesday, 9/2 |
§11.2: Introduction to Vectors, Quiz 0 |
| 3 |
Thursday, 9/3 |
§11.3: Angles between Vectors, The Dot Product, and Orthogonality |
| 4 |
Friday, 9/4 |
§11.3: Dissecting a Triangle, Projections and Components |
| 5 |
Tuesday, 9/8 |
§11.4: Cross Products and Orthogonality |
| 6 |
Wednesday, 9/9 |
Dot Product versus Cross Product, Quiz 1 |
| 7 |
Thursday, 9/10 |
§11.5: Planes |
| 8 |
Friday, 9/11 |
§11.5: Lines, Worksheet |
| 9 |
Tuesday, 9/15 |
§12.1: Review of Lines and Planes, Intro to 3-D space curves |
| 10 |
Wednesday, 9/16 |
More on Space Curves, Quiz 2 |
| 11 |
Thursday, 9/17 |
§12.2: Limits and Derivatives of Vector Valued Functions |
| 12 |
Friday, 9/18 |
§12.2: Antiderivatives of Vector Valued Functions, Position and Velocity |
| 13 |
Tuesday, 9/22 |
§12.3: Intro to Arc Length and Arc Length Parameterization |
| 14 |
Wednesday, 9/23 |
More on Arc Length, Quiz 3 |
| 15 |
Thursday, 9/24 |
§12.3: Curvature |
| 16 |
Friday, 9/25 |
§12.4: Unit Tangent, Normal, and Binormal Vectors, Acceleration |
| 17 |
Tuesday, 9/29 |
§13.1: Pringle Hyperbolic Paraboloid Day, Quadric surfaces , Intro to Multivariable functions. |
| 18 | Wednesday, 9/30 | More on Multivariable Functions and Domains, Quiz 4 | | 19 | Thursday, 10/1 |
§13.2: Multivariable Limits | | 20 | Friday, 10/2 | §13.3: More on Limits, Partial Derivatives | | 21 | Tuesday, 10/6 | Review for Exam 1: Practice Exam and Solutions |
| 22 |
Wednesday, 10/7 |
Exam 1 |
| 23 |
Thursday, 10/8 |
§13.3: Partial Differentiation and the Tangent Plane |
| 24 |
Friday, 10/9 |
§13.3: Differentials and Approximations |
| 25 |
Wednesday, 10/14 |
§13.4: Multivariable Chain Rule, Implicit Differentiation |
| 26 |
Thursday, 10/15 |
§13.5: More on Implicit Differentiation |
| 27 |
Friday, 10/16 |
§13.5: Directional Derivatives and the Gradient |
| 28 |
Tuesday, 10/20 |
§13.6: Higher Order Derivatives |
| 29 |
Wednesday, 10/21 |
More on Higher order Derivatives, Quiz 5 |
| 30 |
Thursday, 10/22 |
§13.7: Local Maxima and Minima |
| 31 |
Friday, 10/23 |
§13.7: More on Critical Points, Absolute Maxima and Minima |
| 32 |
Tuesday, 10/27 |
§13.6: More on Bounded Optimization |
| 33 |
Wednesday, 10/28 |
Quiz 6 |
| 34 |
Thursday, 10/29 |
§13.7: Constrained Optimization |
| 35 |
Friday, 10/30 |
§13.8: Lagrange Multipliers |
| 36 |
Tuesday, 11/3 |
§14.1: Integration as a Volume |
| 37 |
Wednesday, 11/4 |
Quiz 7 |
| 38 |
Thursday, 11/5 |
No Class |
| 39 |
Friday, 11/6 |
§14.1: Volume Over a General Region |
| 39 |
Tuesday, 11/10 | Review for Exam 2: Practice Exam 2 and Solutions |
| 40 |
Wednesday, 11/11 | EXAM 2 |
| 41 |
Thursday, 11/12 |
More on Volumes over a General Region |
| 42 |
Friday, 11/13 |
§14.2: Integrals in Polar Coordinates |
| 43 |
Tuesday, 11/17 |
More Integrals in Polar Coordinates |
| 44 |
Wednesday, 11/18 |
§14.3, 14.4: Center of Mass, Surface Area |
| 45 |
Thursday, 11/19 |
§14.5: Triple Integration in Rectangular Coordinates |
| 46 |
Friday, 11/20 |
§14.6: Triple Integration in Cylindrical and Spherical Coordinates |
| 47 |
Tuesday, 12/1 |
§15.2: Line Integrals with respect to Arc Length |
| 48 |
Wednesday, 12/2 |
Quiz 8 |
| 49 |
Thursday, 12/3 |
§15.2: Work Integrals |
| 50 |
Friday, 12/4 |
§15.3: The Fundamental Theorem of Line Integrals |
| 51 |
Tuesday, 12/8 |
§15.4: Green's Theorem |
| 52 |
Wednesday, 12/9 |
Quiz 9 |
| 53 |
Thursday, 12/10 |
§15.4: Applications to Area, Generalizing Green's Theorem |
| 54 |
Friday, 12/11 |
Stokes' Theorem, the Divergence Theorem, and Overarching Themes of Integration |
| F |
FINAL EXAM MATERIALS |
Final Review Problems and their solutions . Your list of topics is the list of topics you see above. Also, here is the Extra Credit Final |
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