Week | Topic | Reading | Homework Problems |
---|---|---|---|
January 12 | Introduction
VI. Inverse functions: inverse functions, exponential functions |
6.1 - 6.2 | Homework 1 |
January 19 |
VI. Inverse functions: Logarithmic functions and derivatives, exponential growth and decay |
6.3 - 6.5 | Homework 2 |
January 26 |
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 an ampersand & 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. |
February 2 |
VII. Techniques of integration: trigonometric integrals, trigonometric substitutions, integration of rational functions by partial fractions |
7.2 - 7.4 | Homework 4 |
February 9 |
VII. Techniques of integration: other integration techniques Midterm 1 review MIDTERM 1 on Friday | 7.5 | Midterm 1 Review Problems
Practice Midterm 1, solutions. |
February 16 |
VI. Inverse functions: indeterminate forms and L'Hopital's rule VII. Techniques of integration: improper integrals |
6.8, 7.8 | Homework 5 |
February 23 |
Numerical methods of integration using MATLAB |
7.7 | Homework 6
Code: Hw6Num1f.m, Hw6Num1v.m |
March 2 |
XI. Infinite series and sequences: sequences and series |
11.1 - 11.2 | Homework 7 |
March 9 |
SPRING BREAK |
-- | -- |
March 16 |
XI. Infinite series and sequences: integral test, comparison test, alternating series |
11.3 - 11.5 | Homework 8 |
March 23 |
XI. Infinite series and sequences: absolute & conditional convergence, root & ratio test, power series |
11.6 - 11.8 | Homework 9 |
March 30 |
XI. Infinite series and sequences: Representation of functions as power series MIDTERM 2 on Friday |
11.9 |
Midterm overview
Midterm 2 Review Problems Practice Midterm 2, solutions. |
April 6 |
XI. Infinite series and sequences: Taylor and MacLaurin series |
11.10 - 11.11 | Homework 10 |
April 13 |
X. Parametric equations and polar coordinates: curves defined by parametric equations, Calculus with parametric curves. |
10.1, 10.2 | Homework 11 |
April 20 |
X. Parametric equations and polar coordinates: polar coordinates, areas in polar coordinates |
10.2 - 10.4 | Homework 12 |
April 27 |
FINAL EXAM REVIEW |