MATH 3

COURSE INFORMATION

Daily Schedule

STUDY GUIDE

RESOURCES

Math 3 - Calculus

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

The Math 3 homework corresponding to each class can be found by logging onto WeBWorK.

Daily Schedule
Cl Day SecTopic
#1 Wed 9/26 1.1 Modeling discrete data: introduction.
Method of least squares.
#2 Fri 9/28 1.2, 1.3 Functions and their graphs.
New functions from old.
#3 Mon 10/1 1.4 Trigonometric functions.
#4 Wed 10/3 1.5 Exponential and logarithmic functions.
#5 Fri 10/5 1.6 Case Study: Modeling the AIDS data.
#6 Mon 10/8 2.1 Modeling rates of change: introduction.
#7 Wed 10/10 2.2, 2.3, 2.4 The legacy of Galileo and Newton.
Limits of functions.
Limits at infinity.
#8 Fri 10/12 2.5, 2.6 Continuity.
Tangent lines and their slopes.
#9 Mon 10/15 2.6, 2.7 Tangent lines and their slopes. (contd.)
The derivative.
#10 Wed 10/17 2.8 Differentiation rules.
#11 Fri 10/19 2.9 Derivatives of trigonometric functions.
#12 Mon 10/22 2.10, 2.11 The mean value theorem.
Implicit differentiation.
#13 Wed 10/24 2.12 Derivatives of exponentials and logs.

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

No Math 3 classes on Friday 10/26.

#14 Mon 10/29 2.13, 2.14 Newton's method.
Linear approximations.
#15 Wed 10/31 2.15, 2.16 Antiderivatives and initial value problems.
Velocity and acceleration.
#16 Fri 11/2 2.17 Case Study: Torricelli's Law.
#17 Mon 11/5 3.1 Modeling with differential equations: introduction.
Separable differential equations: first look.
#18 Wed 11/7 3.2, 3.3 Exponential growth and decay.
Separable differential equations.
#19 Fri 11/9 3.4, 3.6 Slope fields and Euler's method.
Case Study: Population Modeling.
#20 Mon 11/12 3.5 Issues in curve sketching.
#21 Wed 11/14 4.1 Modeling accumulations: introduction.

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

#22 Fri 11/16 4.2, 4.3 The definite integral.
Properties of the definite integral.
#23 Mon 11/19 4.4, 4.5 The fundamental theorem of calculus.
Techniques of integration.
#24 Wed 11/21 4.6, 4.7 Trapezoid rule.
Areas between curves.

No classes Friday.
Have a happy Thanksgiving!

#25 Mon 11/26 4.8, 4.9 Volumes of solids of revolution. (omitted)
Arc length.
#26 Wed 11/28 4.10 Inverse trigonometric functions
#27 Fri 11/30 4.11 Case Study: Flood Watch.
#28 Mon 12/3 - Review of course.
Course evaluations.