General Mathematics II

SHAW UNIVERSITY
COURSE OUTLINE
MAT 112 – General Mathematics II SUMMER II 2008 (Online)

Important Note: This is an Online Course, designed for the Second Summer Session.

Instructor: Simon Ugwuoke, Ph.D.

Office Location: Graphics Room 4 Phone:546-8543 (O) / (919) 612-6864 (C)

E-mail:sugwuoke@shawu.edu Website:http://faculty.shawu.edu/sugwuoke

Office Hours: TBA

Required Technology Resources: MyMathLab; Blackboard (Questions: Call (919) 612-6864)

Supplementary Technology (not required): PcCalculator

Department Chair: Dr. Grace Ndip

Natural Sciences & Mathematics Dept.

Phone: (919) 546-8252

Technical/General Questions (Online Delivery)

Dr. Steve Niu: (919) 546-8328 (Technologist)

Mr. Foroudastan: (919) 546-8323 (Chief Information Officer)

General Description
This is a University Core Course in Mathematics taken by Freshmen. Students in this course are expected to have successfully completed or placed out of MAT 110 and 111. The students in this course are introduced to topics on set theory and logic, probability, statistics, and applications. The students are trained in critical thinking and problem solving skills to be applied to real world situations. This course is the third of a three-sequence study in college mathematics.

Student Learning Outcomes
After completing this course successfully, the students would have acquired the following:

Chapter 2: 2.1 – 2.6
Describe the meaning of the word “set” and write a given set in two different ways.    Identify well-defined sets and equal sets..    Find the subsets and proper subsets of a given set.    Identify the universal set and find the complement of a given set..    Find the union, intersection and difference of two sets or more.    Draw Venn diagrams to show the relationship between two or more sets.    Find the cardinal number of finite and infinite sets.    Use Venn diagrams to solve word problems.

Chapter 3: 3.1 – 3.6
Determine if a sentence is a “statement” and classify statements as simple or compound.    Identify a compound statement as a conjunction, disjunction, negation or conditional.    Write compound statements in symbolic form by using letters for each simple statements and the proper logical connectives, and translate symbolic statements into verbal statements.    Construct a truth table for a given compound statement containing upto two variables.    Determine if two statements are logically equivalent by constructing truth tables.    Determine if an argument is valid or invalid by truth tables or Venn diagrams.

Chapter 12: 12.1 – 12.11
Find the probability of simple events.    Find the probability of compound events.    Find the conditional probability of events.    Use counting principles to solve problems in probability.    Use combinations and permutations to solve probability problems

Chapter 13: 13.1 – 13.8
Demonstrate an understanding of the uses and misuses of statistics and its terminology.    Presentation of data in various forms - frequency distribution, bar diagrams, pie charts, frequency polygons.    Compute mean, median, and mode for raw data or frequency distribution. Compute the standard deviation for a set of data.    Use mean and standard deviation to interpret data. Use the normal distribution (or normal curve) to solve problems.    Determine if correlation exists between two sets of data. Obtain a regression equation for a given set of data using an appropriate software. Fit regression lines for a given set of data. Use regression equations for predictions. Obtain the correlation coefficient of two sets of data given an appropriate software.

Topic Outline
Chapter 2: Sets: Set Concepts - Venn Diagrams and set operations - Venn Diagrams with three sets and verification of set statements - Application of sets - Infinite sets ( Sections 2.1 to 2.6) (NCATE 5.12)

Chapter 3: Logic : Statements and logical connectives - Truth tables for negation, conjunction, and disjunction - Truth tables for the conditional and biconditional - Equivalent statements and DeMorgan’s Laws - The Conditional - Symbolic arguments ( Sections 3.1 to 3.6) (NCATE 5.12, 5.15, 8.0, 8.1, 8.2, 8.3)

Chapter 12 : Probability - Theoretical Probability - Odds - Expected Value - Tree diagrams - “or” and “and” problems - Conditional Probability - The Counting principle and permutations - Combinations - Solving Probability problems using permutations and combinations. (Sections 12.1 to 12.11) (NCATE 10.1)

Chapter 13 : Statistics - Sampling techniques - The misuses of statistics - Frequency Distributions - Statistical Graphs - Measures of Central Tendency - Measures of Dispersion - The Normal Curve - Linear Correlation and Regression. (Sections 13.1 – 13.8) (NCATE 5.10, 5.11)

Grading
Assignments/Quizzes/Promptness & Participation    30% of final grade
Tests                                                                   40% of final grade
Final Exam                                                           30% of final grade

Online Education Policy

Student Online Decorum Expectations