Course Announcement: Fall 2005
                                         Advanced Calculus of Several Variables
                                                    Math 4035-sec.1: 1040-1130 M W F 0135 Lockett Hall
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                                    This course could be called Advanced Calculus for the Real World, which has at least
                                    three dimensions. The prerequisites are Math 4031 (Advanced Calculus I) and Math
                                    2085 (Linear Algebra), or their equivalents. The topics will include properties of
                                    Euclidean space, continuous functions, differential calculus in n-dimensional space,
                                    the inverse and implicit function theorems, and the Riemann integral in n-dimensions
                                    if time permits. This is a theorem-proving course, like Math 4031: Homework will
                                    be collected, corrected carefully and returned. The text will be my own set of lecture
                                    notes and exercises, which will be available locally at low cost. Math majors with
                                    the Mathematics Concentration can complete the advanced calculus component
                                    of the upper division requirements with 4031 followed by either 4035 or 4032.
                                    The Department recommends but does not require all three courses for students
                                    intending to pursue graduate study in mathematics.
                                    For further information, please contact me: Len Richardson, 386 Lockett Hall, 578-
                                    1568, rich@math.lsu.edu