Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
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