Math 205 Weekly Lecture Schedule

Week of:

Topics

Text Section

January 5

lect 1

assignment #1

(solution)

Lab #1

Review of Math 200 -
Key ideas of Calculus

link to Riemann Sum graphing calculator applet

link to desmos graphing calculator

 

5.1-5.4

Chp 6

Chp 7.1

January 12

lect 2

Lab #2

assignment #2

(solution)

Applying what we know:

  • Riemann Sums
EXCEL spreadsheet modeling atmosphere
  • Volumes of revolution and arc lengths

using MAPLE

VPython solution to 4 bugs problem
arc length spreadsheet

5.2

8.1 - 8.8

January 19

lect 3

assignment #3

(solution)

Lab #3

lect 4

Working with integrals - a first pass:

I was right! (sorta) - closer look at sin(ln(x))

8.1 - 8.8

January 26

lect 5

lect 6

lect 7

assignment #4

(solution)

Log, Inverse Trig and Hyperbolic Functions

  • review of substitution
  • integration by parts

 

3.2,3.5,3.8

 

7.1

February 2

lect 8

assignment #5

(solution)

Lab #4

Techniques of Integration

  • trig substitution

Table of integrals

7.1 – 7.2

February 9

 

lect 9

Simpson's Rule


 

Techniques of Integration

 

 

Trig Identities

Special Functions

7.3 – 7.4

February 16

Reading Week

February 23

lect 10

 

assignment #6

(solution)

Techniques of Integration

  • Improper integrals
  • Midterm 1 - Friday, Feb 27

Solutions to exam

A1 | A2 | B1 | B2

7.7,7.8

March 2

lect 11

 

Lab #5

assignment #7

(solution)

Differential equations  and slope fields - an introduction

Midterm 1 results...

Slope Field Generator

11.1

March 9


lect 12

lect 12A

Lab #6

assignment #8

(solution)

Differential equations  and slope fields

Slope Field Generator
Euler Solution in Excel
Bank Note Problem

11.1 -11.5

March 16

lect 13

Lab #7

assignment #9

(solution)

Using differential equations

damped free oscillator applet

Logistic equation in Excel

VPYTHON falling body with air resistance

11.6 -11.7

March 23

lect 14

lect 15

Predator Prey Models

Lotka-Volterra model

"bit sized view" of predator-prey

11.8 - 11.9

March 30

lect 16

lect16a

Lab #8

assignment #10

(solution)

Infinite sequences and series, convergence

exam blueprint

Solution to MT2

link to a famous Euler series!

9.1 - 9.4

April 6


lect 17

Power Series,Taylor series, Fourier series and other approximations

Chaos Game
link to a nice version of the Chaos Game
Fractal Ferns

9.5

April 13

lect18

 

Power Series

Final Exam Blueprint

10.1 - 10.5