Download Mathematics 1090 (Algebra and Trigonometry)

Mathematics 1090 (Algebra and Trigonometry)
Course Outline - Winter 2010
Text: Algebra and Trigonometry: Taken from Precalculus, 3nd Ed by Robert Blitzer OR
Algebra and Trigonometry: Taken from Precalculus, 2nd Ed by Robert Blitzer OR
Algebra and Trigonometry: Custom Edition for Memorial University: Taken from Precalculus by Robert
Blitzer
UNIT I - REAL NUMBERS/ALGEBRA REVIEW (11 lectures)
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
1.10
Algebraic Expressions and Real Numbers (Omit Math Models)
Exponents (Omit Scientific Notation)
Radicals and Rational Exponents
Polynomials
Factoring Polynomials
Rational Expressions
Complex Numbers
Midpoint/Distance Formulas
Solving Equations
Solving Inequalities
1st Ed.
P.1
P.2
P.3
P.4
P.5
P.6
P.7
P.8
1.1, 1.3, 1.4
1.5, 1.6
Sections in Text
2nd Ed.
3rd & 4th Ed.
P.1
P.1
P.2
P.2
P.3
P.3
P.4
P.4
P.5
P.5
P.6
P.6
2.1
2.1
1.3
1.9
P.7, P.8
P.7
P.9, 2.7
P.9, 2.7
UNIT II – FUNCTIONS (8 lectures)
2.1
2.2
2.3
2.4
2.5
2.6
2.7
Lines and Slopes
Circles
Functions
Graphs of Functions
Transformations of Functions
Composite Functions
Inverse Functions
2.1, 2.2
2.2
2.3
2.4
2.5
2.6
2.6
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.4, 1.5
1.9
1.2
1.2, 1.3
1.6
1.7
1.8
3.1
3.2
2.2
2.3
2.2
2.3
3.3
2.4
2.4
3.4
2.5
2.5
3.1
3.2
3.3
3.4
3.1
3.2
3.3
3.4
UNIT III – POLYNOMIALS (8 lectures)
3.1
3.2
3.3
3.4
Quadratic Functions
Polynomial Functions of Higher Degree (Read Only)
Polynomials and Synthetic Division, Remainder and Factor
Theorems
Zeros of Polynomial Functions
UNIT IV – EXPONENTIAL AND LOGARITHMIC FUNCTIONS (6 lectures)
4.1
4.2
4.3
4.4
Exponential Functions and Their Graphs
Logarithmic Functions and Their Graphs
Properties of Logarithms
Exponential and Logarithmic Equations
Department of Mathematics and Statistics
4.1
4.2
4.3
4.4
Memorial University of Newfoundland
UNIT V – TRIGONOMETRY (6 lectures)
Sections in Text
1 Ed.
2nd Ed.
3rd Ed.
5.1
4.1
4.1
5.2
4.2
4.2
5.3
4.3
4.3
5.4
4.4
4.4
5.5, 5.6
4.5, 4.6
4.5, 4.6
st
5.1
5.2
5.3
5.4
5.5
Radian and Degree Measure
Trigonometric Functions and The Unit Circle
Right Triangle Trigonometry
Trigonometric Function of Any Angle
Graphs of the Sine, Cosine, Tangent Functions
UNIT VI – ANALYTIC TRIGONOMETRY (5 lectures)
6.1
6.2
6.3
6.4
Verifying Trigonometric Identities
Sum and Difference Formulas
Double and Half-Angle Formulas
Solving Trigonometric Equations
Department of Mathematics and Statistics
6.1
6.2
6.3
6.4
5.1
5.2
5.3
5.5
5.1
5.2
5.3
5.5
Memorial University of Newfoundland