**Instructor: Dr. Francis J. Narcowich****Office:**Blocker 611D**E-mail:**`fnarc@math.tamu.edu`**Phone:**(979) 845-7554 (Messages only.)**URL:**`http://www.math.tamu.edu/~francis.narcowich/`**Office Hours:**TWR 11:45 a.m.-12:45 p.m., and by appointment.

**Catalogue Description:** MATH 311 - Topics in Applied
Mathematics I

Systems of linear equations, matrices, determinants,vector spaces,
linear transformations, eigenvalues and eigenvectors, diagonalization,
inner product spaces,orthogonal functions; vector analysis, including
gradient, divergence, curl, line and surface integrals, Gauss', Green's
and Stokes' theorems. **Prerequisites:** MATH 221, 251
or 253; MATH 308 or concurrent enrollment, or junior or senior
classification or approval of instructor. Credit will not be given for
more than one of MATH 304, MATH 309, MATH 311 and MATH 323.

**Time & Place:** MTWRF 10:00 a.m.-11:35 a.m., BLOC 117.

**Required Text:** Stephen J. Leon and Susan Jane
Colley, Math 311: Custom Edition for Texas A&M University at
College Station, Pearson Learning Solutions, Boston, MA,
2012. ISBN 13: 978-1-256-98369-9.

**Midterm**, Wednesday, June 15, 2016.**Final Exam**, Tuesday, July 5, 2016.

**Syllabus**: The course covers most of chapters 1-6
in part I (Leon), and sections 8.4, 10.1,10.2, 11.1-11.3 in part II
(Colley). For a schedule, which may change due to contingencies and
unforseen circumstances, see the table below.

**Grading System:** Your grade will be based on a
midterm, a final and homework. The midterm and the final will each
count for 40% your grade, and the homework for 20%. Your letter
grade will be assigned this way: 90-100%, A; 80-89%, B; 70-79%, C;
60-69%, D; 59% or less, F.

**Make-up Policy:** I will give make-ups (or
satisfactory equivalents) only in cases authorized under *TAMU
Regulations*. In borderline cases, I will decide whether or not
the excuse is authorized. Also, if you miss a test, quiz, or cannot
turn in a homework, contact me
at `fnarc@math.tamu.edu `
soon as possible. Normally, this is the next business day, unless
there are extenuating circumstances.

**Homework
Assignments:** I will assign and pick up homework two or
three times per week. Each assignment will have several problems, but
not of them will be graded. Late homework will be accepted (or excused
completely) *only for legitimate reasons*, and may be penalized
if circumstances warrant.

**Copying Course Materials:** ``All printed hand-outs
and web-materials are protected by US Copyright Laws. No multiple
copies can be made without written permission by the instructor.''

**Americans with Disabilities Act Policy Statement:**
"The Americans with Disabilities Act (ADA) is a federal
anti-discrimination statute that provides comprehensive civil rights
protection for persons with disabilities. Among other things, this
legislation requires that all students with disabilities be guaranteed
a learning environment that provides for reasonable accommodation of
their disabilities. If you believe you have a disability requiring an
accommodation, please contact Disability Services, currently located
in the Disability Services building at the Student Services at White
Creek complex on west campus or call 979-845-1637. For additional
information, visit the Department
of Disability Services.

** Schedule**

Date | Section | Topic |
---|---|---|

5/31/16 | Part I: 1.1-1.2 |
Linear equations and row reduction |

6/1/16 | 1.3, 1.4 | Matrix algebra |

6/2/16 | 1.4, 1.5 | Matrix inversion and elementary matrices |

6/3/16 | 2.1, 2.2 | Determinants and their properties |

6/6/16 | 2.2, 3.1 | Evaluating determinants, vector spaces |

6/7/16 | 3.1, 3.2 | Vector spaces, subspaces, span |

6/8/16 | 3.2, 3.3 | Subspaces, linear independence, "basic matrix trick" |

6/9/16 | 3.3, 3.4, 3.5 | basis and dimension, coordinates |

6/10/16 | 3.5, 3.6 | Change of basis, row and column spaces, finding bases |

6/13/16 | 4.1, 4.2 | Linear transformations and their representation |

6/14/16 | 4.3 | Similarity, catch up, review |

Wednesday, 6/15/16 |
N/A | Midterm |

6/16/16 | 5.1, 5.2 | Scalar products and orthogonal subspaces |

6/17/16 | 5.3, 5.4 | Least-squares approximation and inner product spaces |

6/20/16 | 5.5 | Orthonormal sets |

6/21/16 | 5.6, 6.1 | Gram-Schmidt and eigenvalue problems |

6/22/16 | 6.2, 6.3 | Simple harmonic motion and diagonalization |

6/23/16 | Part II: 7.4, 10.1 |
Gradient, divergence, curl, and line integrals |

6/24/16 | 10.1, 10.2 | Line integrals and Green's Theorem |

6/27/16 | 11.1 | Parametrized surfaces |

6/28/16 | 11.2 | Surface integrals |

6/29/16 | 11.3 | Stokes's Theorem |

6/30/16 | 11.3 | Gauss's Theorem (Divergence Theorem) |

7/1/16 | 11.3 | Stokes's Theorem and Gauss's Theorem, review |

Tuesday, 7/5/16 |
N/A | Final exam (10:30 a.m.-12:30
p.m.) held in BLOC 113 |

Updated: May 26, 2016 (fjn)