MATH 3

COURSE INFORMATION

Daily Schedule

STUDY GUIDE

RESOURCES





COD

KLDBOOKSITE

WEBWORK LOGIN

Math 3 - Calculus

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 on Saturday, December 6 at 3:00 p.m. Everyone must be there. We will let you know as soon as the room number is announced.

Daily Schedule
Lec Day SecTopic
#1 Wed 9/24 1.1 Modeling discrete data: introduction.
Method of least squares.
#2 Fri 9/26 1.2, 1.3, 1.4 Lines in the Plane.
Functions and their graphs.
New functions from old.
#3 Mon 9/29 1.5 Trigonometric functions.
#4 Wed 10/1 1.6 Exponential and logarithmic functions.
#5 Fri 10/3 1.7 Case Study: Modeling the AIDS data.
#6 Mon 10/6 2.1 Modeling rates of change: introduction.
#7 Wed 10/8 2.2, 2.3, 2.4 The legacy of Galileo, Newton, and Leibniz.
Limits of functions.
Limits at infinity.
#8 Fri 10/10 2.5, 2.6 Continuity.
Tangent lines and their slopes.
#9 Mon 10/13 2.6, 2.7 Tangent lines and their slopes. (contd.)
The derivative.
#10 Wed 10/15 2.8 Differentiation rules.
#11 Fri 10/17 2.9 Derivatives of trigonometric functions.
#12 Mon 10/20 2.10, 2.11 The mean value theorem.
Implicit differentiation.
#13 Wed 10/22 2.12 Derivatives of exponentials and logs.

Hour Exam 1: 3:30 - 4:45
Rooms to be assigned in Kemeny

#14 Fri 10/24 2.13, 2.14 Newton's method.
Linear approximations.
#15 Mon 10/27 2.15, 2.16 Antiderivatives and initial value problems.
Velocity and acceleration.
#16 Wed 10/29 2.18 Case Study: Torricelli's Law.
#17 Fri 10/31 3.1 Modeling with differential equations: introduction.
Separable differential equations: first look.
#18 Mon 11/3 3.2, 3.3 Exponential growth and decay.
Separable differential equations.
#19 Wed 11/5 3.4, 3.7 Slope fields and Euler's method.
Case Study: Population Modeling.
#20 Fri 11/7 3.5 Issues in curve sketching.
#21 Mon 11/10 4.1 Modeling accumulations: introduction.

Hour Exam 2: 3:30 - 4:45
Rooms to be assigned in Kemeny

#22 Wed 11/12 4.2, 4.3 The definite integral.
Properties of the definite integral.
#23 Fri 11/14 4.4, 4.5 The fundamental theorem of calculus.
Techniques of integration (omit integration by parts).
#24 Mon 11/17 4.6, 4.7 Trapezoid rule.
Areas between curves.
#25 Wed 11/19 4.9 Arc length.
#26 Fri 11/21 4.11 Case Study: Flood Watch.
#27 Mon 11/24 4.10 Inverse trigonometric functions

No classes Wednesday 11/26 and Friday 11/28.
Have a happy Thanksgiving! See you Mon 12/1.

#28 Mon 12/1 - Review of course. See materials.
#29 Wed 12/3 - Review of course. See materials.
Course evaluations.