Department of Mathematical Sciences - U. Delaware
U. of Delaware Math Department

Math 114 - College Mathematics & Statistics
Course Information

NOTE: The following information reflects tentative plans for the FALL 2008 semester. If you are interested in the current Math 114 course (Spring 2008), please look at the syllabus found under the "Current Syllabus" link at the bottom of this page.

Text Typically Used:
Understanding Basic Statistics
by Brase and Brase
Houghton Mifflin, Fourth Edition

College Algebra Concepts & Models
by Larson, Hostetler, Hodgkins
Houghton Mifflin, Fifth Edition

NOTE: A TI-82 or TI-83 graphing calculator is required for this course.
Do not purchase until confirmed by instructor.
Course Description:
This course is designed for liberal arts majors who do not expect to take additional math courses. For approximately the first five weeks we will discuss statistical topics such as mean, median and mode, the bell-shaped curve and confidence intervals. The purpose of this unit is to help you view statistics that you come in contact with, in newspapers or television, with understanding and a more critical eye.
The second part of this course will include an algebra review. The emphasis will be on mathematical modeling of data and on applications. Some of the applications to be covered are profit, supply and demand, and exponential and logarithmic applications.
Sample Exams:
Sample exams require the free Acrobat Reader software installed
  Exam 1 Solutions Exam 1
  Exam 2 Solutions Exam 2
  Exam 3 Solutions Exam 3
  Final Exam Solutions Final Exam

Tentative Topic List:
Brase Statistics Text
1.1
What is Statistics
1.2
Random Samples
2.1
Frequency Distributions, Histograms and Related Topics
2.2
Bar Graphs, Circle Graphs and Time-Series Graphs
2.3
Stem and Leaf Displays
3.1
Measures of Central Tendency
3.2
Measures of Variation
3.3
Percentiles and Box-and-Whisker Plots
4.1
Scatter Diagrams and Linear Correlation
4.2
Linear Regression and the Correlation of Determination
7.1
Graphs of Normal Probability Distributions
7.2
Standard Units and Areas Under the Standard Normal Distribution
7.3
Areas Under Any Normal Curve
7.4
Sampling Distributions
7.5
The Central Limit Theorem
8.1
Estimating Mu When Sigma is Known
From Larson Text
R2.1
Linear Equations
R2.2
Mathematical Modeling
R2.3
Quadratic Equations
R2.4
Quadratic Formula
R2.5
Other Types of Equations
R2.6
Linear Inequalities
1.1
Graphs of Equations
1.2
Lines in the Plane
1.3
Linear Modeling and Direct Variation
1.4
Functions
1.5
Graphs of Functions
1.6
Transformations of Functions
1.8
Inverse Functions
2.1
Quadratic Functions and Models
3.1
Exponential Functions
3.2
Logarithmic Functions
3.3
Properties of Logarithms
3.4
Solving Exponential and Logarithmic Equations
3.5
Exponential and Logarithmic Models
4.1
Solving Systems Using Substitution
4.2
Solving Systems Using Elimination
4.4
Systems of Inequalities
4.5
Linear Programming
Additional
 
Financial formulas on Compound Interest, Annuity, Amortization, etc.

Current Syllabus
Note: This does not reflect the changes for Fall 2008.

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