 COURSE INFORMATION

Daily Schedule

STUDY GUIDE

RESOURCES

KLBOOKSITE Textbook manuscript: Principles of Calculus Modeling: An Interactive Approach by Donald Kreider and Dwight Lahr. Each day below is linked to the section-page(s) of the textbook that will be covered in class.

The Math 3 homework corresponding to each class can be found by consulting the textbook section-page, or by logging on to the Math 3 WeBWorK site directly.

Daily Schedule
Cl Day SecTopic
#1 Wed 9/25 1.1 Modeling discrete data: introduction.
Method of least squares.
#2 Fri 9/27 1.2, 1.3, 1.4 Lines in the Plane.
Functions and their graphs.
New functions from old.
#3 Mon 9/30 1.5 Trigonometric functions.
#4 Wed 10/2 1.6 Exponential and logarithmic functions.
#5 Fri 10/4 1.7 Case Study: Modeling the AIDS data. (due 10/9)
#6 Mon 10/7 2.1 Modeling rates of change: introduction.
#7 Wed 10/9 2.2, 2.3, 2.4 The legacy of Galileo, Newton, and Leibniz.
Limits of functions.
Limits at infinity.
#8 Fri 10/11 2.5, 2.6 Continuity.
Tangent lines and their slopes.
#9 Mon 10/14 2.6, 2.7 Tangent lines and their slopes. (contd.)
The derivative.
#10 Wed 10/16 2.8 Differentiation rules.
#11 Fri 10/18 2.9 Derivatives of trigonometric functions.
#12 Mon 10/21 2.10, 2.11 The mean value theorem.
Implicit differentiation.
#13 Wed 10/23 2.12 Derivatives of exponentials and logs.

Hour Exam 1: 3:30 - 4:45
28 Silsby (Orellana); 101 Bradley (Lahr)

#14 Fri 10/25 2.13, 2.14 Newton's method.
Linear approximations.
#15 Mon 10/28 2.15, 2.16 Antiderivatives and initial value problems.
Velocity and acceleration.
#16 Wed 10/30 2.18 Case Study: Torricelli's Law. (due 11/6)

No Math 3 classes on Friday 11/1.

#17 Mon 11/4 3.1 Modeling with differential equations: introduction.
Separable differential equations: first look.
#18 Wed 11/6 3.2, 3.3 Exponential growth and decay.
Separable differential equations.
#19 Fri 11/8 3.4, 3.7 Slope fields and Euler's method.
Case Study: Population Modeling. (due 11/18)
#20 Mon 11/11 3.5 Issues in curve sketching.
#21 Wed 11/13 4.1 Modeling accumulations: introduction.

Hour Exam 2: 3:30 - 4:45
28 Silsby (Orellana); 101 Bradley (Lahr)

#22 Fri 11/15 4.2, 4.3 The definite integral.
Properties of the definite integral.
#23 Mon 11/18 4.4, 4.5 The fundamental theorem of calculus.
Techniques of integration.
#24 Wed 11/20 4.6, 4.7 Trapezoid rule.
Areas between curves.
#25 Fri 11/22 4.9 Arc length.
#26 Mon 11/25 4.11 Case Study: Flood Watch. (due 12/4)
#27 Wed 11/27 4.10 Inverse trigonometric functions

No classes Friday.
Have a happy Thanksgiving!

#28 Mon 12/2 - Review of course.
#29 Wed 12/4 - Review of course.
Course evaluations. 