| Topic | Text Sections | Lectures |
| Taylor Polynomials and Taylor Approximation | 11.5-11.6 in S.H.&E. | 3 |
| L'Hospital's Rule and Improper Integrals | 10.5-10.7 in S.H.&E. | 3 |
| Infinite Series | 11.1-11.4 in S.H.&E. | 3 |
| Power Series | 11.7-11.8 in S.H.&E. | 3 |
| Numerical Integration and ODE's | 8.7-8.9 in S.H.&E. | 3 |
| Introdution to Vectors and Matrices | 1.1-1.4 in H2, 3.6 in D | 6 |
| Row Reduction | 2.1-2.2 in H2 | 3 |
| Inverses and Elementrary Matrices | 2.3 in H2 | 3 |
| Linear Independence | 2.4 in H2, 3.1-3.3 in D | 3 |
| Kernels and Images, Least Squares | 2.6 in H2, 3.5 in D | 3 |
| Rotations, Reflections and Projections | Chapter 4 in D | 3 |
| Eigenvalues and Diagonalization | 5.1-5.4 in D | 6 |
| Review | All of the above | 3 |
Texts: Calculus, one and several variables, eight edition, by Salas, Hille, and Etgen, (S.H.&E above) together with the included supplement on linear algebra, Primer for Linear Algebra, by Demko, (D above) and Vector Calculus, Linear Algebra and Differential Froms, by Hubbard and Hubbard (H2 above).
The first third of this course covers Chapters 10
and 11 of the text, with some material left out, and some additional material,
rounding out the covereage of single variable calculus. The remaining two
thirds is an
introduction to linear algebra, the theory of linear
equations in sevral variables. This subject is fundamentally important
in its own right, and it provides the basis for multivariable calculus,
in which non-linear equations
and functions are studied through linear approximation.
In this part of the course we will cover chapters 1 and 2 of Hubbard and
Hubbard with some parralell and supplementary reading in Demko.
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