Math 251 (Fall 2013)
Description: Multivariable Calculus.
Class schedule: Mondays, Wednesdays 4-5:50PM in Armstrong Hall room 112, starting August 19.
Office hours: Mondays 2-3PM, Wednesdays 6-7PM in Armstrong Hall 305B.
Additional help: Monday-Thursday 8AM-3PM, Friday 8AM-2PM.
Info sheet containing more or less the stuff on this webpage.
Textbooks and resources
Textbook: The main book is Essential Calculus Early Transcendentals, Stewart (first edition)
Useful free resources:
Linear algebra notes
- 45% Final exam on Monday December 16 2013, 3-5PM in Armstrong Hall room 112
- 25% Best of two midterm exams
- 15% Homework assignments
- 15% Quizzes
- There will be seven quizzes (one every two weeks), out of which the best six will count towards your grade.
- Quizzes will test the material covered during the previous two weeks.
- No make-up quizzes will be given.
- Homework will be assigned once every two weeks, and due two weeks later (please see the course schedule below for exact dates).
- Three or four random problems will be chosen and graded for each homework.
- Your best six homework papers will count towards the final grade.
- Late turn-ins will not be accepted.
- There will be two 75-minutes in-class midterm exams, on October 2 and November 6.
- Your best midterm exam will count towards the final grade.
- Calculators will not be allowed.
- No make-up midterm will be given.
- December 16 2013, 3-5PM in Armstrong Hall room 112
- Final is cumulative.
|Aug 19||Matrices and systems of linear equations|| Class notes
Reduced row echelon (Gauss-Jordan) form
Reduced row echelon form (Khan Academy)
Solving linear equations (Moseley)
|Aug 21|| Systems of linear equations (continued)
| Class notes
Matrix Multiplication (Khan Academy)
|Aug 26|| Rn as a vector space.
Linear transformations in Rn
|Class notes||Quiz 1 solutions|
|Aug 28||Image of a linear transformation, span, linear independence||Class notes|
|Sep 4||Vectors in 3D. Dot product||10.1 - 10.3|| HW1 due |
|Sep 9||Cross product||10.4||Quiz 2 solutions|
|Sep 11||Lines, planes||10.5|
|Sep 16||Cylinders and quadrics; vector functions, curves.||10.6-10.7|| HW2 due |
|Sep 18||Arc length, curvature; velocity and acceleration||10.8 - 10.9|
|Sep 23||Functions of several variables||11.1||Quiz 3 solutions|
|Sep 25||Limits, continuity||11.2|
|Sep 30|| Review
|11.3|| HW3 due |
|Oct 2|| Midterm 1
|Oct 7||Directional derivative, gradient vector||11.6||Quiz 4 solutions|
|Oct 9||Tangent planes and linear approximation||11.4|
|Oct 16||Maximum and minimum values||11.7|| HW4 due |
|Oct 21||Lagrange multipliers; Double integrals||11.8-12.1||Quiz 5 solutions|
|Oct 23||Double integrals, polar coordinates||12.2 - 12.3|
|Oct 28||Applications of double integrals; triple integrals||12.4-12.5|| HW5 due |
|Oct 30||Cylindrical and spherical coordinates||12.6 - 12.7|
|Nov 4||Change of variables||12.8||Quiz 6 solutions|
|Nov 6|| Midterm 2
|Nov 11||Vector fields. Line integrals||13.1-13.2|| HW6 due |
|Nov 13||Fundamental theorem for line integrals||13.3|
|Nov 18||Green's theorem||13.4||Quiz 7|
|Nov 21||Curl and divergence||13.5|
|Dec 2||Linear algebra review|
|Dec 9||Review||HW7 due|
|Dec 16||Final exam 3-5PM in Armstrong Hall room 112|
Where does your score stand?
Doing well in this class
The material in this class is dense and not trivial. As is often the case in math courses, we will constantly build upon previous stuff; therefore, not leaving gaps in your understanding of the material is crucial for succeeding. This will require a sustained effort on your part, and in addition to attending lectures, you are encouraged to take advantage of instructor's office hours and the drop-in Math Learning Center. Of course, this is not a substitute for also working on your own; it is essential to think about the material, read the suggested texts, and solve homework problems by yourself. This last bit is a prerequisite to being able to solve problems under the pressure of a quiz or an exam.
If you are a person with a disability and anticipate needing any type of accommodation in order to participate in this class, please advise me and make appropriate arrangements with the Office of Disability Services (304-293-6700).