Course Schedule GM I






Date Subject Textbook Chapters
Sep 11 AP Exam  
Sep 16 Differentation and integration    E&P Chapters 3-6, 9
Sep 18 Infinite series E&P Chapter 11
Sep 23 Plane analytic geometry E&P Chapters 10, 12
Sep 25 First Midterm Exam  
Sep 30 Review of the First Midterm Exam  
Oct 02 Introduction to Ordinary Differential Equations: Examples B Sections 1.1, 1.3, 1.5
Oct 07 Existence and uniqueness of solutions B Section 1.10
Oct 09 Separable and linear first order ODEs B Sections 1.4, 1.2
Oct 14 Fundamental inequality; Continuous dependence on initial condition and parameters  
Oct 16 Second order linear ODEs B Sections 2.1-2.3, 2.5 (2.6)
Oct 21 Numerical methods for solving ODEs B Sections 1.13, 1.15-1.17
Oct 23 Systems of first order ODEs: Introduction  
Oct 28 2-dimensional autonomous systems: Linear stability analysis
Short review of material for the exam
 
Oct 30 Second Midterm Exam  
Nov 04 Review of Second Midterm Exam  
Nov 06 Vectors in Space E&P, Sections 12.1-12.4
Nov 11 Vector-valued Functions E&P, Sections 12.5, 12.6
Nov 13 Functions of several variables, Partial Derivatives E&P, Sections 13.1-13.4
Nov 18 Gradient, Directional Derivative, Extrema E&P, Sections 13,8, 13.5, 13.10
Nov 20 Extrema under side conditions, Chain Rule, Differentials E&P, Sections 13.9, 13.7, 13.6
Nov 25 Double Integrals E&P, Sections 14.1-14.4
Nov 27 Triple Integrals, Surface Area, Change of Variables E&P, Sections 14.6, 14.8, 14.9
Dec 02 Vector Fields, Line Integrals E&P, Sections 15.1-3
Dec 04 Surface Integrals, Green's Theorem, Divergence Theorem, Stokes' Theorem E&P, Sections 15.4-7
Dec 09 Review and Examples  
Dec 11 Review and Teaching Evaluation    
Dec 12 Reading Days    
Dec 21
18:30
Final Exam No notes, no books, no calculators, no paper!


Last modified: 2001-12-09
d.burde@iu-bremen.de