Week | Topic | Reading | Homework Problems |
---|---|---|---|
August 24 | Introduction
VI. Inverse functions: inverse functions, exponential functions |
6.1 - 6.2 | Homework 1 |
August 31 |
VI. Inverse functions: Logarithmic functions and derivatives, exponential growth and decay |
6.3 - 6.5 | Homework 2 |
September 7 |
Types of growth: semilog and loglog plotting with data VI. Inverse functions: inverse trigonometric functions VII. Techniques of integration: integration by parts |
6.6, 7.1 | Homework 3
Matlab code, to modify for the homework (Anything on a line after a percent symbol % is a "comment" that Matlab ignores; there are lots of comments to help you with this part of the homework.) Excel file, alternative to Matlab code. |
September 14 |
VII. Techniques of integration: trigonometric integrals, trigonometric substitutions, integration of rational functions by partial fractions |
7.2 - 7.4 | Homework 4 |
September 21 |
VII. Techniques of integration: other integration techniques, Midterm 1 review Numerical integration using MATLAB (Friday) | 7.5, 7.7 | Homework 5 Matlab code: Hw5Num1f.m, Hw5Num1v.m. |
September 28 |
Numerical methods of integration using MATLAB MIDTERM 1 on Thursday |
7.7 | |
October 5 |
Numerical methods of integration using MATLAB VI. Inverse functions: indeterminate forms and L'Hopital's rule |
7.7, 6.8 | |
October 12 |
Numerical methods of integration using MATLAB (Monday) VI. Inverse functions: indeterminate forms and L'Hopital's rule VII. Techniques of integration: improper integrals |
6.8, 7.8, 11.1 | Homework 6 |
October 19 |
XI. Infinite series and sequences: series, integral test, comparison test |
11.2 - 11.4 | Homework 7 |
October 26 |
XI. Infinite series and sequences: alternating series, absolute & conditional convergence, root & ratio test |
11.5 - 11.7 | Homework 8 |
November 2 |
XI. Infinite series and sequences: Power series |
11.8 - 11.10 | Homework 9 |
November 9 |
XI. Infinite series and sequences: Representation of functions as power series, Taylor and MacLaurin series MIDTERM 2 on Thursday |
11.10 | |
November 16 |
XI. Infinite series and sequences: Applications of Taylor and MacLaurin series X. Parametric equations and polar coordinates: curves defined by parametric equations, Calculus with parametric curves. |
11.1, 10.1, 10.2 | Homework 10 |
November 23 |
THANKSGIVING BREAK |
-- | -- |
November 30 |
X. Parametric equations and polar coordinates: polar coordinates, areas in polar coordinates |
10.2 - 10.4 | |
December 7 |
X. Parametric equations and polar coordinates: areas in polar coordinates |
10.4 |