Honors Math IV,  V1208

Spring 1998



Instructor: Peter Woit, Mathematics 421, 854-2642

Time and Place: Tuesday, Thursday 10:35-11:20  Mathematics 520

Text: Advanced Calculus of Several Variables C.H. Edwards, Jr, Dover

Exams: There will be two one-hour exams during the semester.  They are tentatively scheduled for
Tuesday February 17 and Tuesday March 24.

Recitations:  Friday Mornings

Course Teaching Assistant:  Titus Teodorescu, Math 408

Homework: You should do all the suggested problems. If are having trouble with the homework, the Mathematics Help Room, 404Mathematics is open daily from 10:00 am-5:00 pm. Timely completion of homework is essential for this course

Grading: No calculators, books or notes will be allowed in the exams. No make-up exams will be given. In case someone misses an exam, the scores on the other two exams will count toward the grade.

Final Exam Schedule: Tuesday May 12, 9am-12am You must take the exam at this time. Any conflicts with other departments must be addressed by those departments.

Office Hours: Tuesday 2-4, 421 Mathematics



Course Bulletin Board:

You can post questions or comments to the course  bulletin board .  These get sent to me by e-mail when you post
them and I'll try and respond as soon as possible.



Course Outline:

The following topics will be among those covered:

Linear Algebra:
Vector Spaces
Linear Transformations
Matrices:  Inverses and Determinants
Solving Linear Equations
Eigenvalues and Eigenvectors

Multiple Integrals:
Integrals as Riemann sums
Three dimensional coordinate systems
Change of variables
Applications

Differential Forms:
Line integrals
Surface integrals
Green's Theorem
Stoke's Theorem
Applications: Electromagnetism


Other Textbooks That May be Useful:
 

  • Vector Calculus, Marsden and Tromba
  • Multivariable Calculus, Corwin and Szczarba
  • Introduction to Linear Algebra, Strang

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    Other Resources:

     Sorin Popescu's Linear Algebra Page