Math 283 Honors Multivariate Calculus (Fall 2019)
|Office Hours||Schedule (Wil 2-236)|
Grading: The course % is determined by:
All exams and quizzes are closed book and no electronic devices are permitted.
Syllabus: Material covered in text is from:
Homework: Suggested homework is listed below.
Handouts: Review sheets and supplementary materials will either be handed out in class or emailed to you. They will NOT be posted. Below such materials are indicated by a bold (S)
|12.1||9,23,33,35,37,39,43,47,61||Vectors in the plane|
|12.2||5,9,11,19,25,29,31,35,37,43,47,51,52,53||Vectors and lines in R^3|
|12.3||1,11,13,15,19,21,23,25,35,39,43,,49,55,57,67||Dot Products, angles, orthogonal, projection|
|12.5||3,13,15,17,21-23,25,27,29,39,41,55,57,63,65,69||Planes in 3D|
|12.6||just read the section||Survey of Quadratic Surfaces|
|12.7||Will be done in tandem with Volume integrals in Chapte 15||Cylindrical Spherical coordinates|
|13.1||1,2,7,10,12b,12c,17,19,25,33(use "s" for r_2(t)),39||Vector Valued Functions|
|13.2||3,5,7,9,13,17,20,23,29,31,39,47(integrate),51(integrate twice),57||Calculus of Vector Valued Functions|
|13.3||1,3,5,9,11,15,25,31||Arclength and Speed|
|13.5||3,5,11,15,33,35,37,41||Motion in Space|
|(S) Chapter 12-13 Supplementary problems|
|14.1||1,5,7,29,31,33,39a, 39b||Functions of several variables|
|14.2||7,8,9,13,15,17,18 (polar in chapter 11),29,34||Limits and Continuity|
|14.5||5,7,9,11,15,17,19,21,23,25,29,31,37,39,41,44,45,61(hard)||Gradient and Directional Derivatives|
|14.7||1,3,7,9,11,13,16,19,35,37 (on boundary),47,48||Optimization in Several variables|
|(S) Chapter 14 Supplementary problems|
|15.1||19,21,31,37||Double Integrals: Rectangles|
|15.2||3,9,11 (dy dx),17,21,25,27,31,45,49||Double Integrals: General Cartesian|
|15.3||3,9,11,17,21 (intersect planes),26,35 (dxdydz)||Triple Integrals: Cartesian|
|15.4||1,3,5,7,9,11,13,15,19,23,25,27,29,31,38,39,42,43,45,47,51,53,55||Integrals: Polar, Cylindrical, Spherical coordinates|
|15.5||not covering||Integrals: Applications|
|15.6||not covering||Integrals: Change of Coordinates 2D|
|16.3||1,57,8,9,12,17,19||Conservative Vector Fields|
|16.4||4,5,15,17,21,23,25 (Use Eqn 9 on pg 938 for all)||Parametrized Surfaces and Surface Integrals. (extra material)|
|16.5||2, 5,7,9,11,13 (Nhat=khat)||Flux integrals (extra material)|
|(S) Chapter 15-16 Review questions and examples|
Quiz is on 12.1-12.3 (text and in class) (25 min - no electronic devices).
Quiz on 12.4, 12.5, 13.2 (not 12.6,13.1). Know how to compute a cross product and its properties. Most of the exam will be on 12.5 material including equations of planes, distance from points to lines and planes, etc. 13.2 is basically differentiating and integrating vector valued functions.
||Quiz will be on 14.2-14.5. You'll need to know how to show a limit does not exist, evaluate it when it does, compute partial derivatives (explicit and implicit), compute tangent planes, vectors normal to z=f(x,y), and all of 16.5 on gradients with applications: normals to level sets, directional derivatives, gradients, ....|
|Quiz 4||4||Oct 25||
Quiz will be on 14.6 (Chain Rule), 14.7 (critical points, Second derivative test...), and 14.8 (Lagrange multipliers). There won't be any questions like 14.7 #29-45 in the HW (max/min on bounded regions).
|Quiz 5||5||Nov 15||
|Quiz 6||6||Nov 26||
There will be no questions from 16.1, 16.3 (Vector potentials).
We are not doing parametrized surfaces on this quiz...only surface integrals on graphs z=f(x,y). In the text this means eqn 8-9 on pg 938 of 16.4.
Textbook Sections: 12.1-12.5 and 13.2-13.5
(50min, No electronic devices or notes/formula sheet)
|Final||Dec 12||4:00-5:50pm Location: NAH 337 (our classroom)|