Math 250 - Calculus III
Class Journal
Textbook: Calculus, Eighth Edition by Larson, Hostetler, Edwards
| Date | Topics covered |
| Mon 1/18 | Dimension and degree of freedom; Space coordinates; vectors in the plane; component form of a vector, slope, norm, scalar multiple of a vector, sum and difference of two vectors. |
| Wed 1/20 | Properties of vector operations, standard form a vector, an application from physics, vectors in space, distance between two points in space |
| Fri 1/22 | Vectors in space, parallel vectors, equation of a sphere, half space, Dot product, finding the angle between two vectors, orthogonal vectors, |
| Mon 1/25 | Direction angles, projection of a vector onto another work, an application of dot product in physics: Finding teh work done, Cross product of two vectors, the significance of a cross product |
| Wed 1/27 | Lab session on Mathematica |
| Fri 1/29 | Algebraic and geometric properties of cross product, Quiz 1(Take-Home) |
| Mon 2/1 | Equations of lines and planes in space |
| Wed 2/3 | Distances in space, cylindirical surfaces, quadric surfaces |
| Fri 2/5 | School closed due to heavy snow |
| Mon 2/8 | Quadric surfaces, traces, contours (level curves) and plotting them in Mathematica: Surfaces in Mathematica |
| Wed 2/10 | Recognizing quadric surfaces; Cylindrical and Spherical Coordinates. |
| Fri 2/12 | Exam 1 |
| Mon 2/15 | Spherical coordinates, vector-valued functions |
| Wed 2/17 | Differentiation and integration of vector-valued functions, smooth curves, Position, velocity, and acceleration functions and relations among them. |
| Fri 2/19 | Projectile motion, unit tangent vector and principal unit normal vector, tangential and normal components of acceleration. Click the here for an example |
| Mon 2/22 | Functions of several variables, level curves, plotting them in Mathematica (Examples in class) |
| Wed 2/24 | Limit and continuity of functions of several variables (Examples in class) |
| Fri 2/26 | Quiz 3, partial derivatives and equality of mixed partial derivatives ( Illustration in Mathematica) |
| Mon 3/1 | Differentials, propagated error, relative error; differentiability ( Illustration in Mathematica) |
| Wed 3/3 | Chain rule |
| Fri 3/5 | Quiz 4, Directional derivatives and gradients, |
| Mon 3/15 | Tangent planes and normal lines: Examples in Mathematica, An Animated Example in Mathematica |
| Wed 3/17 | no class (instructor was sick) |
| Fri 3/19 | Midterm Exam |
| Mon 3/22 | Extrema of functions of two variables , second partials test |
| Wed 3/24 | Absolute extrema of a continuous function over a closed bounded domain; Lagrange multipliers |
| Fri 3/26 | Lagrange multipliers, Iterated integrals |
| Mon 3/29 | Changing the order of integration, Riemann Sums, Double integrals, |
| Wed 3/31 | Examples of volumes using double integrals, dA in polar coordinates |
| Fri 4/2 | Quiz 5, Double integration, volume, area using polar coordinates, |
| Mon 4/5 | Surface area, triple integrals |
| Wed 4/7 | Density and mass, Triple integrals using cylindirical coordinates, triple integrals using spherical coordinates |
| Fri 4/9 | Quiz 6, Spherical coordinates ( will come back to the example next time), Vector fields |
| Mon 4/12 | More example son triple integrals, conservative vector fields |
| Wed 4/114 | Tests for conservative vector fields in the plane and and in space; Curl of a vector field, Line integrals |
| Fri 4/16 | Exam 3 |
| Mon 4/19 | Line integrals, work done by a vector field |
| Wed 4/21 | Differential form of a line integral, independence of path, fundamental theorem of line integrals |
| Fri 4/23 | Green's theorem, introduction to surface integrals |
| Mon 4/26 | Surface integrals, Flux integrals |
| Wed 4/28 | Divergence Theorem and Stokes's Theorem |
| Fri 4/30 | Stokes's theorem continued, some review, GOOD LUCK in the finals and have a WONDERFUL summer! |