| General Info | Calendar | Announcements | Additional Help | Homework | Practice Exams | Lecture Summaries|
General Information
Announcements & DatesImportant Dates and Class Holidays:
Interactive campus map . Practice ExamsFINAL EXAM: 11:30-2:30 ON MONDAY, MARCH 15, MANDEVILLE AUD.
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Additional HelpIf you are having trouble with the homework or have questions about the material, the best way to get help is to attend the office hours offered by me and the teaching assistants. If you can't make the scheduled times, then email us and we'll set up an appointment.Additional help is given by
How to study mathematics offers advice for studying Mathematics. Lecture SummariesLecture 1: Introduction. Probablity density function. Lecture 2: Probability density function. Interpretation. Cumulative distribution function. Examples. Lecture 3: Median. Mean. Examples. Lecture 4: Geometric series: infinite and finite. Examples. Lecture 5: Taylor polynomials. Lecture 6: 3D space. Distance in 3D. Functions of 2 variables and their graphs. Lecture 7: Spheres, cylinders, paraboloids and cross sections. Lecture 8: Level curves and contour diagrams. Contour diagrams need to have the level curves labeled by the level. Lecture 9: Linear functions and planes. We need two slopes to write down the equation of the plane. We can see the two slopes as slopes of cross sections. Planes through 3 points. Lecture 10: Midterm review. Started vectors, showed how to add vectors and multiply them by scalars. Lecture 11: More on vectors. Length. Vectors of several components. Lecture 12: Dot product. Perpendicular vectors have zero dot product. Angle between vectors can be computed by dot product. Vectors normal to a plane. Lecture 13: Cross product. Cross product is perpendicular to two vectors. Cross product has length given by the area of the parallelogram spanned by the two vectors. Plane through 3 points. Lecture 14: More on cross product. Derivatives. Lecture 15: Computing partial derivatives. Lecture 16: Tangent plane. Linear approximation. Differential. Lecture 17: Directional derivative and gradient. Gradient is the direction of steepest increase. Gradient is normal to the level curves. Lecture 18: Chain rule in several variables and examples. Lecture 19: Second order derivatives. Order of differentiaton is not important. Taylor polynomials. Lecture 20: Critical points. Local min and local max. Second derivative test. Saddle points. Lecture 21: Compact sets. Functions defined on compact sets have a gloabl min and a global max. Lecture 22: Functions on compact sets continued. Example of a function maximized/minimized over a rectangular boundary. Lecture 23: Lagrange multipliers: gradient vectors are parallel at the min/max. Examples. |