**MAT 1275 CO **College Algebra and Trigonometry

**Text: **McGraw-Hill Custom Textbook containing material from __Intermediate Algebra__**, **5^{th} ed., by Miller, O’Neill, and Hyde (Sessions 1-21 and 34-37) and __Trigonometry__, 2^{nd} ed., by Coburn (Sessions 22-33).** **

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Class | Lesson | Section | WeBWorK Set | Video Resources |
---|---|---|---|---|

1 | Lines review: - Equations: slope-intercept and point-slope - Slope formula and intercepts - Parallel and perpendicular through points - Graphing | 2.1, p.128-137, Ex. 1-6, 8,9 2.2, p.145-151, Ex. 2-7 2.3, p.157-160, Ex. 1-3 2.3, p.160-164, Ex. 4-8 | LinesReview GraphingLines | Lines |

2 | 2-D systems of equations Substitution and elimination | 3.2, p.246-249, Ex. 1-3 3.3, p.253-257, Ex. 1, 2, 5 3.4, p.261-265, Ex. 1, 2, 4,5 Applications of systems of linear equations in two variables (optional) | LinearSystems | 2-D linear systems |

3 | 3-D systems of equations | 3.6, p.283-289 | 3×3-Systems | 3-D linear systems |

4 | GCF factoring and factoring by grouping | 4.4, p.350-354, Ex. 1-3 4.5, p.360-364, Ex. 1-5 | GCF-Grouping | Factoring out the GCF Factoring by grouping |

5 | Difference of squares and ac-method | 4.6, p.368-377, Ex. 1-9 4.7, p.382-383, Ex. 1-3 | DifferenceOfSquares AC-Method | Difference of squares |

6 | Solving equations by using the zero product rule | 4.8, p.394-399, skip Ex.2 | ZeroProductProperty | Zero product property and solving quadratic equations by factoring |

7 | Square root property and completing the square | 7.1, p.582-587, Ex. 1-3 | SquareRootProperty | The square root property |

8 | Quadratic formula | 7.2, p.592-602, Ex. 1, 3, 8 (derive the quadratic formula) | QuadraticFormula | The quadratic formula |

9 | Complex numbers | 6.8, p.556-563 | ComplexNumbers | Complex numbers |

10 | Graphs of quadratic functions Vertex formula and standard form | 7.4, p.612-620 7.5, p.626-630 | ShiftingParabolas ParabolaVertices-CtS ParabolaVertices-VertexFormula | Graphs of quadratic functions Shifting parabolas |

11 | Distance formula (Pythagorean Theorem) Midpoint formula Circles (complete the square and standard form) | 9.1, p.754-759 | DistanceFormula Circles | Pythagorean Theorem Distance formula Midpoint formula Circles |

12 | Nonlinear systems of equations in two variables | 9.4, p.784-788 | NonLinearSystems | Nonlinear systems of equations |

13 | Addition and subtraction of rational expressions Multiplication and division of rational expressions | 5.1, p.422-428, Ex. 3, 4, 6 5.2, p.432-434, Ex. 1-3 5.3, p.437-444, Ex. 1-9 | ReducingRationalExpressions AddRationalExpressions AddRationalExpressions2 | Adding and subtracting rational expressions Multiplying and dividing rational expressions |

14 | Complex fractions | 5.4, p.447-452 | ComplexFractions-Method1 ComplexFractions-Method2 | Complex fractions |

15 | Solving rational equations | 5.5, pages 454-460 | FractionalEquations | Solving rational equations |

16 | Properties of integer exponents | 4.1, p.320-324, Ex. 1-7 | IntegerExponents | Integer exponents |

17 | Roots Rational exponents | 6.1, p.496-502 6.2, p.508-512 | HigherRoots HigherRoots-Algebraic RationalExponents | Rational exponents and radicals |

18 | Simplifying radical expressions Addition and subtraction of radicals | 6.3, p.515-519, Ex. 1, 3, 4,6, 7 (only examples with square roots) 6.4, p.522-525, Ex. 1-4 (only examples with square roots) | SimplifyingRadicals AddSubtractRadicals | Roots and radicals |

19 | Multiplication and division of radicals | 6.5, p.528-532, Ex. 1-7 (only examples with square roots) | MultiplyRadicals | Multiplication of radicals |

20 | Operations on complex numbers and rationalization | 6.6, p.536-543, Ex. 1, 3,5, 7-9 (only examples with square roots) | RationalizeDenominators ComplexNumbers | Division of radicals and rationalization |

21 | Solving radical equations | 6.7, p.546-549, Ex. 1, 4 | RadicalEquations | Solving radical equations |

22 | Angle measure Similar triangles and proportions | 1.1, p.2-6 2.1, p.46-50 | Angle measures | |

23 | Special triangles | 1.1, p.2-6 | SpecialTriangles | Special triangles |

24 | Trigonometric ratios of right triangles | 2.2, p.54-56 | TrigonometryRatios | Trigonometry of right triangles |

25 | Inverse trigonometric functions | 2.2, p.54-56 | SolvingRightTriangles-InverseTrig | Inverse trigonometric functions |

26 | Solving right triangles Applications | 2.3, p.63-66 | SolvingRightTriangles | Solving right triangles |

27 | Angle measure in radian Trigonometry and the coordinate plane | 3.1, p.90-93 1.3, p.22-27 | AngleMeasure-Radians CoordinatePlaneTrig | Angle measure in radians |

28 | Unit circles | 3.3, p.108-113 | UnitCircle | Unit circle |

29 | Graphs of the sine and cosine functions | 4.1, p.134-144 4.2, p.153-159 | GraphingSineCosine | Graphs of sine and cosine |

30 | Fundamental identities Proving trig tautologies | 1.4, p.31-35 5.1, p.212-214 | Pythagorean identity (The fundamental identity of trigonometry) | |

31 | Trigonometric equations | 6.3, p.284-290 | TrigEquations | Trigonometric equations |

32 | Law of sines | 7.1, p.316-322 | LawOfSines | Law of sines |

33 | Law of cosines | 7.2, p.329-332 | LawOfCosines | Law of cosines |

34 | Exponential functions | 8.3.1, 8.3.2, 8.3.4, p.680-686 | ExponentialFunctions | Exponential functions |

35 | Logarithmic functions | 8.4, p.690-693, and Ex.8, 9 | LogarithmicFunctions | Logarithmic functions |

36 | Properties of logarithms Compound interest | 8.5, p.704-709 8.6, p.712-715 (skip Ex.3) | LogarithmicProperties | Properties of logarithms Compound interest |

37 | Exponential equations Applications to compound interest, population growth | 8.7, p.726-734 | ExponentialEquations ExponentialEquations-Calc CompoundInterest | Exponential equations |

Final exam review | Selected final exam review questions |