COURSE INFORMATION

Daily Schedule

STUDY GUIDE

RESOURCES

COD

KLDBOOKSITE

Textbook manuscript: Principles of Calculus Modeling: An Interactive Approach by Donald Kreider, Dwight Lahr, and Susan Diesel.

COD Web Site: The Calculus on Demand (COD) web site contains the lecture-page(s) for the course. Each day below is linked (Lec column) to these pages, and also to the textbook section-pages (Sec column).

Math 3 homework: There are WeBWorK homework problems corresponding to each class. The assignments and their due-dates can be found by clicking "WeBWorK login" on the sidebar, or by accessing WeBWorK from the COD pages.

Math 3 final exam: The final is scheduled by the Registrar to take place Friday, November 16 at 11:30am in Hopkins Spaulding. Everyone must be there.

Daily Schedule
Lec Day SecTopic
#1 Mon 9/10 1.1 Modeling discrete data: introduction.
Method of least squares.
#2 Wed 9/12 1.2, 1.3, 1.4 Lines in the Plane.
Functions and their graphs.
New functions from old.
#3 Fri 9/14 1.5 Trigonometric functions.
#4 Mon 9/17 1.6 Exponential and logarithmic functions.

Math3-to-Math1 Quiz: 3:30 - 4:15 today.
Room to be assigned.
On the basis of this quiz, we will advise you whether or not to change to M1. Last opportunity to switch this term is Wed. 9/19.

#5 Wed 9/19 2.1 Modeling rates of change: introduction.
#6 Fri 9/21 2.2, 2.3, 2.4 The legacy of Galileo, Newton, and Leibniz.
Limits of functions.
Limits at infinity.
#7 Mon 9/24 2.5, 2.6 Continuity.
Tangent lines and their slopes.
#8 Wed 9/26 2.6, 2.7 Tangent lines and their slopes. (contd.)
The derivative.
#9 Fri 9/28 2.8 Differentiation rules.
#10 Mon 10/1 2.9 Derivatives of trigonometric functions.
#11 Wed 10/3 2.10, 2.11 The mean value theorem.
Intervals of Increase/Decrease
Implicit differentiation.
#12 Fri 10/5 2.12 Derivatives of exponentials and logs.
#13 Mon 10/8 2.13, 2.14 Newton's method.
Linear approximations.
#14 Wed 10/10 2.15, 2.16 Antiderivatives and initial value problems.
Velocity and acceleration.

Hour Exam 1: 3:30 - 4:45
Rooms to be assigned.
Exam covers day01 through day12 (Friday 10/5).

#15 Fri 10/12 2.17 Related Rates.
#16 Mon 10/15 3.1 Modeling with differential equations: introduction.
Separable differential equations: first look.
#17 Wed 10/17 3.2, 3.3 Exponential growth and decay.
Separable differential equations.
#18 Fri 10/19 3.4 Slope fields and Euler's method.

Do not use euler applet for the homework. Use the Euler Spreadsheet.
#19 Mon 10/22 3.5 Issues in curve sketching.
#20 Wed 10/24 3.6 Optimization.
Final day to withdraw from a course without petition.
#21 Fri 10/26 4.1 Modeling accumulations: introduction.
#22 Mon 10/29 4.2, 4.3 The definite integral.
Properties of the definite integral.
#23 Wed 10/31 4.4, 4.5 The fundamental theorem of calculus.
Techniques of integration (omit integration by parts).

Hour Exam 2: 3:30 - 4:45
Rooms to be assigned.
Exam covers day13 through day20 (Wed 10/24).

#24 Fri 11/2 4.6 Trapezoid rule and Simpson's Rule.
#25 Mon 11/5 4.7 Areas between curves.
#26 Wed 11/7 4.9 Arc length.
#27 Fri 11/9 4.10 Inverse trigonometric functions
#28 Mon 11/12 - Last day of course. Review of course. See Exam Study materials.
Course evaluations.
-- Fri 11/16 - Final Exam 11:30am,
Hopkins Spaulding.