Math 251-102 Fall 2022
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Course info
Description. Vectors and three-dimensional analytic geometry; curves and surfaces; functions of several variables, calculus of several variables; partial derivatives; gradient and linearization; multiple integrals; volume and surface area.
Instructor. Casian Pantea https://math.wvu.edu/∼capantea/
Schedule. Mondays, Wednesdays, Fridays 9:50-11AM, Hodges 338
Office hours. Mondays 11:10AM-12:10PM and 5PM-6PM, Wednesdays 2:30-3:30 PM in Armstrong Hall 305B; and by appointment on zoom: https://wvu.zoom.us/j/92855687691
Textbook. Calculus: Early Transcendentals, 8th Edition, by James Stewart; we cover Chapters 12-16.
Prerequisite. C or better in Math 156 is required;
Evaluation
Grading scheme
- 30% Final Exam
- 2x20% Midterms
- 20% Quizzes
- 10% Homework
Letter grades will be assigned as follows
| A | >=90% |
| B | 80-90% |
| C | 70-80% |
| D | 60-70% |
| F | <60% |
Schedule of topics
| Date | Topic | Section | Other |
|---|---|---|---|
| Wed Aug 17 | 3D coordinate system, vectors | 12.1 | |
| Fri Aug 19 | Vectors | 12.2 | |
| Mon Aug 22 | Dot product | 12.3 | |
| Wed Aug 24 | Cross product | 12.4 | |
| Fri Aug 26 | Lines and planes | 12.5 | |
| Mon Aug 29 | Problem session | 12.1-12.5 | |
| Wed Aug 31 | Quadric surfaces | 12.6 | |
| Fri Sep 2 | Quadric surfaces | 12.6 | Quiz 1 |
| Wed Sep 7 | Review | 12.1-12.6 | |
| Fri Sep 9 | Vector functions and curves | 13.1 | HW 1 due |
| Mon Sep 12 | Derivatives and integrals | 13.2 | |
| Wed Sep 14 | Arc length and curvature | 13.3 | |
| Fri Sep 16 | Motion in space | 13.4 | Quiz 2 |
| Mon Sep 19 | |||
| Wed Sep 21 | Problem session | ||
| Fri Sep 23 | Functions of multiple variables | 14.1 | HW 2 due |
| Mon Sep 26 | Review | ||
| Wed Sep 28 | Midterm 1 | Midterm 1 | |
| Fri Sep 30 | Functions of multiple variables | 14.1 | |
| Mon Oct 3 | Limits and continuity | 14.2 | |
| Wed Oct 5 | Partial derivatives | 14.3 | |
| Mon Oct 10 | Tangent planes | 14.4 | |
| Wed Oct 12 | Chain rule | 14.5 | Quiz 3 |
| Fri Oct 14 | Directional derivatives and gradients | 14.6 | HW 3 due |
| Mon Oct 17 | Directional derivatives and gradients | 14.6 | |
| Wed Oct 19 | Maxima and minima | 14.7 | |
| Fri Oct 21 | Lagrange multipliers | 14.8 | Quiz 4 |
| Mon Oct 24 | Problem session | ||
| Wed Oct 26 | Double integrals over rectangles | 15.1 | |
| Fri Oct 28 | Double integrals over general domains | 15.2 | HW 4 due |
| Mon Oct 31 | Polar coordinates | 15.3 | |
| Wed Nov 2 | Polar coordinates | 15.3 | |
| Fri Nov 4 | Surface area | 15.5 | Quiz 5 |
| Mon Nov 7 | Review | ||
| Wed Nov 9 | Midterm 2 | Midterm 2 (file 1) Midterm 2 (file 2) | |
| Fri Nov 11 | Triple integrals | 15.6 | HW 5 due |
| Mon Nov 14 | Cylindrical coordinates | 15.7 | |
| Wed Nov 16 | Spherical coordinates | 15.8 | |
| Fri Nov 18 | Vector fields | 16.1 | Quiz 6 |
| Mon Nov 28 | Line integrals | 16.2 | |
| Wed Nov 30 | Fundamental theorem for line integrals | 16.3 | |
| Fri Dec 2 | Green's theorem | 16.4 | HW 6 due |
| Mon Dec 5 | Review | ||
| Wed Dec 7 | Review | ||
| Mon Dec 12 | Final Exam | 8-10pm Hodges 338 |
