MATH 200 Section 103
Friday December 1
- Review 2: Math 200 2016 final exam
Wednesday November 29
- Review 1: Comparing different integrations.
Monday November 27
- Secondary text number 1 section 15.6: Examples of integration with spherical coordinates.
- Picture justifying the calculation for dV in spherical coordinates. click
Friday November 24
- Secondary text number 1 section 15.6: Introduction to spherical coordinates.
- Quiz 5.
Wednesday November 22
- Example 2 from Monday's class
- Secondary text number 1 section 15.6: Cylindrical coordinates.
Monday November 20
- 13.6: More examples on iterated triple integrals.
- Examples 1 to 4.
- Geogebra illustration for example 1. click
- Geogebra illustration for example 2. click
- Geogebra illustration for example 3. click
- Geogebra illustration for example 4. click
Friday November 17
- 13.6: Setting up the bounds for iterated triple integrals.
- Geogebra illustration for area under the plane in the first octant. click
- Geogebra illustration for last example in class. click
Wednesday November 15
- 13.4: Mass and center of mass.
- 13.6: Started discussing triple integrals.
Monday November 13
Friday November 10
- 13.3: Integrating with polar coordinates.
- Quiz 4
Wednesday November 8
- 13.3: Regions and integration with polar coordinates
Monday November 6
- 13.3: Polar coordinates introduction.
Friday November 3
- 13.1/13.2: Interpreting integration over regions as a signed volume.
Wednesday November 1
- 13.1/13.2: Integration over regions written as iterated integrals written in multiple ways.
Monday October 30
- Optimization overview.
- 13.1/13.2: Introduced integration in multiple variables, and what the calculations mean in terms of area and volume.
Friday October 27
- Lagrange multiplier examples.
- Quiz 3
Wednesday October 25
- 12.8: Part two of finding the distance from a point to a surface. Two solution methods.
- Introduced the ideas behind Lagrange multipliers.
- Geogebra example from class of using normal vectors to find distance from a surface to a point. click
- Geogebra example from class of a maximal point on a curve being tangent to a level curve. click
Monday October 23
- 12.8: Finding absolute maxima and minima over a region with boundary. Using contour diagrams to find absolute maxima and minima. Part one of finding the distance from a point to a surface.
- Geogebra example from class Finding absolute maxima and minima over a triangular region. click
Friday October 20
- 12.8: Critical points, local maxima and minima and how to classify critical points for multivariable functions.
Wednesday October 18
- 12.6 and 12.7: Tangent lines in a certain direction and normal lines.
Monday October 16
- 12.5: The last example on chain rule has been posted under examples.
- 12.6: The directional derivative, the formula as a dot product, the gradient and the meaning of the gradient's direction and slope.
Wednesday October 13
Wednesday October 11
- 12.5: We computed chain rule in multiple variables for higher order partial derivatives.
Monday October 9
Friday October 6
- 12.4: One example on using the differential to calculate maximum errors.
- 12.5: We introduced the chain rule in multiple variables with a few examples and applications.
Wednesday October 4
- 12.4: Conditions for differentiability, the total differential, the tangent plane equation, linearization and why these last three topics are all the same concept.
Monday October 2
- 12.3: Examples of partial differential equations, examples of calculating partial derivatives given a contour diagram and example of calculating partial derivatives given a table.
Friday September 29
- 12.3: Partial derivatives, how to calculate them with a formula and what do they mean for a surface.
Wednesday September 27
- 12.2: Limits for multivariable functions and continuity for multivariable functions.
Monday September 25
- 12.1: Defined multivariable function and determined domain and range. The focus was on sketching the surface in 3D or using a contour diagram. We also sketched a function in three variables.
Friday September 22
- 10.1: Surfaces of rotation. Emphasis on recognizing a surface of rotation and using that to sketch a picture.
- 12.1: How to draw an equation of a surface. Is is a cylinder, sphere, surface of rotation? If not you can draw z-traces (or y-traces or x-traces).
Wednesday September 20
- 10.5: Many examples including intersection of two lines, intersection of two planes, angle between two planes, a plane defined from three points and the distance from a point to a plane.
Monday September 18
- 10.4: The cross product and its relation to sine, the area of a parallelogram and the volume of the parallelepiped.
- 10.5: Writing the equation of the line as equalities and as a parameterization. The equation of a plane.
Friday September 15
- 10.4: The cross product and its formula as a determinant.
- Quiz 1
Wednesday September 13
- 10.2: Using vectors to solve for the tension in strings holding a weight.
- 10.3: A second formula for dot product involving cosine. Dot product and perpendicular vectors. Conditions for parallel vectors. Vectors projected onto other vectors.
Monday September 11
- 10.2: The standard unit vectors and standard unit vector form.
- 10.3: The definition of the dot product and properties of the dot product.
Friday September 8
- Section 10.2: Vectors and how to calculate their magnitude and direction in two and three dimensions. The vector between two points. The component form of a vector. Vector addition and scalar multiplication and how to visualize addition. Unit vectors.
Wednesday September 6
- Section 10.1: Plotting points, line segments, spheres, cylinders, and simple planes. Distance formula and general formula for a sphere.