Date  Topic in Notes  Pages in Thomas 
M Jan 22  The indefinite integral  553560 
M Jan 22  Standard Integrals  553560 
M Jan 22  Method of substitution  581593 
W Jan 24  The double angle trick  581593 
F Jan 26  Integration by Parts  561560 
M Jan 29  Reduction Formulas  561560 
W Jan 31  Partial Fraction Expansion  570581 
M Feb 6  Taylor Polynomials  
M Feb 12  Some special Taylor polynomials  
M Feb 12  The Remainder Term  
M Feb 12  Lagrange's Formula for the Remainder Term  
W Feb 14  The limit as x tends to zero keeping n fixed  
W Feb 14  Littleoh  
F Feb 16  Computations with Taylor polynomials  
F Feb 16  Differentiating Taylor polynomials  
M Feb 19  The Limit as n tends to infinity keeping x fixed  
W Feb 21  Leibniz' formulas for ln 2 and π/4  
W Feb 21  Some proofs  
F Feb 23  Complex numbers  
F Feb 23  Argument and Absolute Value  
M Feb 26  Geometry of Arithmetic  
M Feb 26  Applications in Trigonometry  
W Feb 28  Calculus of complex valued functions  
W Feb 28  The Complex Exponential Function  

W Feb 28  Other handy things you can do with complex numbers  
M Mar 5  What is a DiffEq?  
M Mar 5  First Order Separable Equations  
W Mar 7  First Order Linear Equations  

W Mar 7  Dynamical Systems and Determinism  
F Mar 9  Higher order equations  
M Mar 12  Constant Coefficient Linear Homogeneous Equations  
W Mar 12  Inhomogeneous Linear Equations  
W Mar 14  Variation of Constants  
F Mar 16  Applications of Second Order Linear Equations  
M Mar 19  Introduction to vectors  

M Mar 19  Parametric equations for lines and planes  
W Mar 21  Vector Bases  
W Mar 21  Dot Product  

F Mar 23  Cross Product  

F Mar 23  A few applications of the cross product  
M Mar 30  Notation  
M Mar 30  Summary  
M Apr 9  Parametric Curves  
M Apr 9  Examples of parametrized curves  
W Apr 11  The derivative of a vector function  
W Apr 11  Higher derivatives and product rules  
M Apr 13  Interpretation of the derivative as the velocity vector  
M Apr 13  Acceleration and Force  
W Apr 15  Tangents and the unit tangent vector  
F Apr 17  Sketching a parametric curve  
M Apr 20  Length of a curve  
W Apr 18  Curvature and the unit normal vector  
F May 4  Graphs in Cartesian and in Polar Coordinates  
M May 7  Conic Sections  
W May 9  The Kepler Problem  