SHAW UNIVERSITY
COURSE OUTLINE
MAT 112 – General Mathematics II
Spring 2006
Instructor: Dr. K.P.Satagopan Office Location: Graphics Bldg. #6
e-mail: sat@shawu.edu Phone: (919) 546-8379,
Office Hours: M
- F 8:25-9:25 A.M M – F 2 – 3 P.M
Text: Angel, Porter & Runde - A Survey of Mathematics with Applications, Seventh Edition, Addison-Wesley, 2005
Conceptual Framework
Theme
To produce graduates who are
critical-thinking problem solvers with the knowledge, pedagogical and
technological skills, and professional dispositions needed to function as
effective teachers in a diverse world.
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.
Course Objectives
After completing this course successfully, the students would have acquired the skills to do 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
Understand 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 a raw data, frequency distribution
Compute standard deviation for a data
Use mean, standard deviation to analyze and interpret data.
Understand and use the normal distribution
compute linear correlation and fit regression lines for a given data
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) (NCDPI 2.1, 3, 5.16 -18)
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) (NCDPI
2.1 – 3, 5)
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) (NCDPI 4. 3)
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) (NCDPI 4)
Tests 40% each of final grade
Comprehensive final 30 % of final grade
ATTENDANCE &
BEHAVIOR POLICY
Students who miss classes are responsible for subject matter covered, any announcements made regarding quiz, test or any other relevant matter, during their absence. More than three unexcused absences may result in failure in the course. You are responsible to find out or know about any announcements or the subject matter covered, during your absence.
To enhance the learning atmosphere of the classroom, students are expected to dress and behave in a fashion conducive to learning in the classroom. More specifically, students will refrain from disruptive classroom behavior i. e., talking to classmates, disrespectful responses to teacher instructions; swearing; wearing clothes that impede academic learning such as but not limited to, wearing body-revealing clothing and excessively baggy pants; hats/caps, and/or headdress. Students will turn off telephones prior to entering the classroom. Students who exhibit the behaviors described above, or similar behaviors will be immediately dismissed from class at the third documented offense. The student will be readmitted to class only following a decision by the department chair. The student may appeal the decision of the department chair to the Dean of the College offering the course, and, subsequently, to the Office of the Vice President for Academic Affairs, and then to the President of Shaw University. The decision of the President will be final. Failure to follow the procedures herein outlined will result in termination of the appeal, and revert to the decision of the department chair.
Each behavior construed by the teacher/professor as noncontributive to learning will be recorded, properly documented, and appropriately reported to the student and to the chair of the academic department offering the course. The report will be in written form with a copy provided to both the student and the department chair. The faculty member should retain a copy for his/her own records. Additional student behavior codes may be found in Student Affairs.