BAHAMAS TECHNICAL & VOCATIONAL INSTITUTE
COURSE SYLLABUS
General Education
GENERAL INFORMATION
COURSE CODE & TITLE: COLLEGE ALGEBRA MAT 1105
CREDITS: Three (3)
CONTACT HOURS: Tuesdays & Thursdays 6 pm – 7:50 pm
SEMESTER: Spring 2022
PREREQUISITE: B.G.C.S.E MATH (Grades A-C)
MAT 1100 (Grades A –C)
INSTRUCTOR: S Gordon
ROOM: I – 5 / ONLINE
Email: gordons@btvi.edu.bs
Office Hours: Mondays - Thursdays 12:00 – 3:00 pm
(Room I 5/ONLINE)
COURSE DESCRIPTION
This course is designed to develop skills in mathematical concepts to ensure a complete understanding through a quantity of exercises and applications. The course ranges from real numbers and sets; linear equations and inequalities; exponents and polynomials to solving word problems algebraically, in order to enhance and prepare students to become successful in future mathematical courses.
REQUIRED MATERIALS
• Algebra for college students (6th Edition) by Mark Dugopolski
• Scientific Calculator
• Graph paper/book
• 2 Hard covered note book
• Lap top computer
STUDENT LEARNING OUTCOMES
Upon successful completion of this course, students will be able to:
• Define and identify types of sets.
• Define and identify types of real numbers and their properties.
• Graph number properties on the number line.
• Evaluate radical expressions (square root)
• Apply the arithmetic operations to radicals (square roots)
• Write scientific notation to standard notation and vice versa • Use scientific notation in computations
• Apply the power rule
• Evaluate expressions using exponents and properties of real numbers.
• Simplify algebraic expressions (including rational and quadratic expressions)
• Construct, interpret and find solutions of algebraic expressions and formulae
• Transpose formulae
• Perform arithmetic operations for types of polynomials, polynomial expressions and functions Factorize polynomials using GCF, grouping, difference of squares and perfect square
• Solve linear (simple and simultaneous) and quadratic equations algebraically.
• Graph and solve linear inequalities in one and two variables
• Sketch graphs of linear and quadratic equations in order to solve them.
• Solve word problems algebraically.
• Perform basic set operations.
• Use Venn diagrams to illustrate set relations
COURSE TOPIC
1. Basic Set Theory
a. Set notation and description
b. Types of sets
c. Listing and identifying subsets
d. Venn diagrams and set operations: illustrating set relations and operation
e. Solving word problems using Venn diagrams
2. Real Numbers:
a. Definitions – natural, whole numbers and integers.
b. Graphing on the number line.
c. Rational numbers and irrational numbers, real numbers- graphing on the number line.
d. Interval of real numbers on the number line.
e. Operations on the set of real numbers
f. Evaluating expressions and order of operations
3. Properties of the real numbers:
a. Commutative properties
b. Associative properties
c. Distributive property
d. Identity properties
e. Inverse properties
f. Closure properties
4. Radicals and Rational exponents (square roots):
a. Evaluating Radical expressions (square root of numbers
b. Square roots of exponential expressions, product rule for radicals
c. Adding, subtracting and multiplying square roots
d. Using the quotient rule for radicals (square roots)
5. Exponents; scientific notation
a. Integral exponents
b. The power rule
c. Zero exponent
d. Changing the sign of an exponent
e. Quotient rule for exponent
f. Scientific notation to standard notation
g. Standard notation to scientific notation
h. Using scientific notation in computation
i. The power rules
6. Algebraic Manipulations
a. Terminology of algebraic expressions and formulae
b. Construction, interpretation and solutions of algebraic expressions and formulae
c. Transposition of formulae
7. Exponents and Polynomials
a. Types of polynomials
i. Addition and subtraction of polynomials
ii. Multiplying binomials
b. Factoring Polynomials
I. GCF
II. Grouping
III. Difference of two squares
IV. Perfect squares
8. Polynomial expressions and functions
a. Multiplication and division
b. Addition and subtraction
9. Linear Equations and Inequalities in one variable
a. Linear equations in one variable
b. Applications and inequalities-graphing solutions on the number line
c. Solving fractional equations using LCD
d. Solving simultaneous by elimination and substitution
10. Linear equations and inequalities in two variable
a. Graphing lines in the coordinate plane
b. Slope/gradient of a line; x-and- y intercepts
c. Equation of a line
d. Parallel and perpendicular lines; linear equalities and their graph
11. Quadratic Expressions, Equations, Functions and Inequalities
a. Simplifying Quadratic expressions
b. . Solving equations by factorizing
c. Using the quadratic formula to solve equations
d. Quadratic functions and their graphs
e. Graphing quadratic equations and finding solutions
12. Systems of Equations
a. Graphical solutions-linear and linear-quadratic systems
b. Solutions of systems of linear quadratic equations by substitution
c. Algebraic problem solving involving simultaneous equations
TEACHING METHOD
COURSE SYLLABUS
General Education
GENERAL INFORMATION
COURSE CODE & TITLE: COLLEGE ALGEBRA MAT 1105
CREDITS: Three (3)
CONTACT HOURS: Tuesdays & Thursdays 6 pm – 7:50 pm
SEMESTER: Spring 2022
PREREQUISITE: B.G.C.S.E MATH (Grades A-C)
MAT 1100 (Grades A –C)
INSTRUCTOR: S Gordon
ROOM: I – 5 / ONLINE
Email: gordons@btvi.edu.bs
Office Hours: Mondays - Thursdays 12:00 – 3:00 pm
(Room I 5/ONLINE)
COURSE DESCRIPTION
This course is designed to develop skills in mathematical concepts to ensure a complete understanding through a quantity of exercises and applications. The course ranges from real numbers and sets; linear equations and inequalities; exponents and polynomials to solving word problems algebraically, in order to enhance and prepare students to become successful in future mathematical courses.
REQUIRED MATERIALS
• Algebra for college students (6th Edition) by Mark Dugopolski
• Scientific Calculator
• Graph paper/book
• 2 Hard covered note book
• Lap top computer
STUDENT LEARNING OUTCOMES
Upon successful completion of this course, students will be able to:
• Define and identify types of sets.
• Define and identify types of real numbers and their properties.
• Graph number properties on the number line.
• Evaluate radical expressions (square root)
• Apply the arithmetic operations to radicals (square roots)
• Write scientific notation to standard notation and vice versa • Use scientific notation in computations
• Apply the power rule
• Evaluate expressions using exponents and properties of real numbers.
• Simplify algebraic expressions (including rational and quadratic expressions)
• Construct, interpret and find solutions of algebraic expressions and formulae
• Transpose formulae
• Perform arithmetic operations for types of polynomials, polynomial expressions and functions Factorize polynomials using GCF, grouping, difference of squares and perfect square
• Solve linear (simple and simultaneous) and quadratic equations algebraically.
• Graph and solve linear inequalities in one and two variables
• Sketch graphs of linear and quadratic equations in order to solve them.
• Solve word problems algebraically.
• Perform basic set operations.
• Use Venn diagrams to illustrate set relations
COURSE TOPIC
1. Basic Set Theory
a. Set notation and description
b. Types of sets
c. Listing and identifying subsets
d. Venn diagrams and set operations: illustrating set relations and operation
e. Solving word problems using Venn diagrams
2. Real Numbers:
a. Definitions – natural, whole numbers and integers.
b. Graphing on the number line.
c. Rational numbers and irrational numbers, real numbers- graphing on the number line.
d. Interval of real numbers on the number line.
e. Operations on the set of real numbers
f. Evaluating expressions and order of operations
3. Properties of the real numbers:
a. Commutative properties
b. Associative properties
c. Distributive property
d. Identity properties
e. Inverse properties
f. Closure properties
4. Radicals and Rational exponents (square roots):
a. Evaluating Radical expressions (square root of numbers
b. Square roots of exponential expressions, product rule for radicals
c. Adding, subtracting and multiplying square roots
d. Using the quotient rule for radicals (square roots)
5. Exponents; scientific notation
a. Integral exponents
b. The power rule
c. Zero exponent
d. Changing the sign of an exponent
e. Quotient rule for exponent
f. Scientific notation to standard notation
g. Standard notation to scientific notation
h. Using scientific notation in computation
i. The power rules
6. Algebraic Manipulations
a. Terminology of algebraic expressions and formulae
b. Construction, interpretation and solutions of algebraic expressions and formulae
c. Transposition of formulae
7. Exponents and Polynomials
a. Types of polynomials
i. Addition and subtraction of polynomials
ii. Multiplying binomials
b. Factoring Polynomials
I. GCF
II. Grouping
III. Difference of two squares
IV. Perfect squares
8. Polynomial expressions and functions
a. Multiplication and division
b. Addition and subtraction
9. Linear Equations and Inequalities in one variable
a. Linear equations in one variable
b. Applications and inequalities-graphing solutions on the number line
c. Solving fractional equations using LCD
d. Solving simultaneous by elimination and substitution
10. Linear equations and inequalities in two variable
a. Graphing lines in the coordinate plane
b. Slope/gradient of a line; x-and- y intercepts
c. Equation of a line
d. Parallel and perpendicular lines; linear equalities and their graph
11. Quadratic Expressions, Equations, Functions and Inequalities
a. Simplifying Quadratic expressions
b. . Solving equations by factorizing
c. Using the quadratic formula to solve equations
d. Quadratic functions and their graphs
e. Graphing quadratic equations and finding solutions
12. Systems of Equations
a. Graphical solutions-linear and linear-quadratic systems
b. Solutions of systems of linear quadratic equations by substitution
c. Algebraic problem solving involving simultaneous equations
TEACHING METHOD
- Teacher: Stanley Gordon