INTRO TO MULTIVARIABLE CALCULUS
Instructor: Dr. Turker Topcu
Lectures:
MWF 9:05-9:55 am in WLH 335 — Sec. 16410
MWF 10:10-11:00 pm in MCB 332 — Sec. 16406
Welcome to MATH 2204 (Spring 2020). Please refer to the course policies sheet below for information regarding course schedules, online homework, and grading policy. Homework sets and course-related announcements will be posted on Canvas throughout the semester.
We will cover vector-valued and real-valued functions involving two or more independent variables. We will learn to identify and use appropriate techniques to analyze the fundamental properties of such multivariable functions and vector fields. Partial and directional derivatives, gradients, differentials, and multiple integrals in different coordinate systems will be included. We will solve physical problems related to all aspects of motion along a curve, including the concepts of arc length, tangent, velocity, and acceleration. The emphasis in this course will be placed on understanding the underlying concepts rather than memorization: knowing why is the key to knowing how. The student is responsible for reading the course policies sheet, which includes all the necessary information regarding the exams, homework, and procedures.
The course policies sheet can be downloaded here from Canvas. In addition, the course homepage is located here.
Homework: There will be both online and written homework assignments. Weekly online homework sets will be posted on WebAssign, which accompanies the textbook. The student will access WebAssign for this course through Canvas. Written homework sets will be posted on Canvas. If you need help integrating your WebAssign account with Canvas, you can find some information here. If you need further assistance, you can see a Cengage representative on campus. Please see the related announcement on Canvas for available times, dates, and locations.
Below is the tentative Spring 2020 schedule for the course. The program below is meant to give you a rough idea of what to expect as we will deviate from this schedule throughout the semester. We will cover selected sections from chapters 12-15.
| Week of | Chapter | Subject |
| Jan. 20 | Ch. 12.1, 2, 3 | Coordinate systems, Vectors, Dot product |
| Jan. 27 | Ch. 12.4, 5, 6 | Cross product, equations of Lines/Planes, Cylinders/Quadric surfaces |
| Feb. 3 | Ch. 12.6, 14.1 | Cylinders/Quadric surfaces, multivariable functions |
| Feb. 10 | Ch. 14.2, 3 | Limits and continuity, Partial derivatives |
| Feb. 17 | Ch. 14.4, 15.1 | tangent planes, double integrals over rectangles |
| Feb. 24 | Ch.15.2, 10.3 | Double integrals over rectangles, double integrals over general regions, Polar coordinates |
| Mar. 2 | Ch. 15.3, 4 | Double integrals in polar coordinates, applications of double integrals |
| Mar. 9 | (Spring Break) | |
| Mar. 16 | Ch. 15.4, 6 | Applications of double integrals, Triple integrals |
| Mar. 23 | Ch. 15.6, 7 | Triple integrals, Triple integrals in cylindrical coordinates |
| Mar. 30 | Ch. 15.7, 8 | Triple integrals in cylindrical and spherical coordinates |
| Apr. 6 | Ch. 14.5, 6 | The Chain Rule, Directional derivatives and the gradient vector |
| Apr. 13 | Ch. 14.6, 7 | The gradient, Maximum and minimum values |
| Apr. 20 | Ch. 14.7, 8 | Maximum and minimum values, Lagrange multipliers |
| Apr. 27 | Ch. 13.1, 2, 3 | Vector functions, derivatives/integrals of vector functions, arc length, and curvature |
| May. 4 | Ch. 13.3, 4 | Curvature, tangent, normal and binormal vectors, Velocity/acceleration |
| May. 7 | Reading Day | Reading Day |
** indicates 2 days of coverage.