MAT 1275 College Algebra and Trigonometry
Text: McGraw-Hill Custom Textbook containing material from Intermediate Algebra, 5th ed., by Miller, O’Neill, and Hyde (Sessions 1-16 and 26-29) and Trigonometry, 2nd ed., by Coburn (Sessions 18-25).
| Class | Topic | Section | Homework/ WeBWorK Problems | Video Resource |
| 1 | Properties of Integer Exponents
Addition and Subtraction of Rational Expressions |
Section 4.1, p.320-324
Section 5.3, p.437-444 |
p.327: 11-29 odd, 33, 35, 41, 47, 63, 67, 75
p.445: 7-23, 27-49 odd IntegerExponents ReducingRationalExpressions AddRationalExpressions AddRationalExpressions2 |
Properties of Integer Exponents
Adding and Subtracting Rational Expressions
|
| 2 | Complex Fractions | Section 5.4, p.447-452 | p.452: 9-15,17-23 odd, 31,33
ComplexFractions-Method1 ComplexFractions-Method2 |
Complex Fractions |
| 3 | Solving Rational Equations | Section 5.5, p.454-460 | p.460: 9-33 odd
FractionalEquations |
Solving Rational Equations |
| 4 | Roots | Section 6.1, p.496-502
Section 6.2, p.508-512 |
p.505: 9-37 odd, 59, 65, 67, 79
p.513: 9, 13, 17, 19, 25, 29, 33, 41, 45, 53, 65, 73, 81, 93 HigherRoots HigherRoots-Algebraic RationalExponents |
Introduction to Rational Exponents and Radicals |
| 5 | Simplifying Radical Expressions
Addition and Subtraction of Radicals |
Section 6.3, p.515-519
Section 6.4, p.522-525 |
p.520: 9, 13, 17, 21, 25, 33, 39, 55, 59, 63, 79
p.526: 15, 19, 23, 35, 37, 41, 51, 55, 57, 61, 81 SimplifyingRadicals AddSubtractRadicals |
Roots and Radicals—Simplifying Radical Expressions I (review) |
| 6 | Multiplication of Radicals | Section 6.5, p.528-532 | p.534: 11, 17, 19, 21, 23, 25, 29, 31, 35, 37, 55, 57, 61, 63, 67, 77, 79, 87
MultiplyRadicals |
Multiplication of Radicals |
| 7 | Division of Radicals and Rationalization | Section 6.6, p.536-543
(skip Ex. 4 and 6) |
p.544: 11, 13, 17, 21, 31, 35, 39, 53, 57, 63, 67, 71, 77, 81
|
Division of Radicals and Rationalization |
| 8 | Solving Radical Equations | Section 6.7, p.546-549 | p.554: 13-18, 25-28, 41-46
RadicalEquations |
Solving Radical Equations |
| 9 | First Examination
Complex Numbers |
Section 6.8, p.557-563 |
p.564: 15-27, 31-35, 53-57, 61-69, 81-89 odd ComplexNumbers |
|
| 10 | Solving Equations by Using the Zero Product Rule
Square Root Property and Completing the Square |
Section 4.8 p.394-396 (skip Ex. 2)
Section 7.1, p.582-587 |
p.404: 21-40
p.589: 3-19, 27-33, 37-53 odd SquareRootProperty |
Factoring and the Zero Product Rule (review) |
| 11 | Quadratic Formula | Section 7.2, p.592-594, 596-602 (Derive the quadratic formula) | p.603: 9-25, 49-55 odd, 69, 73, 77, 81, 85
QuadraticFormula |
Quadratic Formula |
| 12 | Applications of Quadratic Equations | Section 4.8, p.398-400
Section 7.2, p.594-595 |
p.405: 65, 69, 71, 73, 75
p.603: 39-47 odd
|
Applications of Quadratic Equations |
| 13 | Graphs of Quadratic Functions | Section 7.4, p.612-620
Section 7.5, p.626-630 |
p.621: 11-15, 19-23, 29-35, 45, 47, 51-61 odd
p.633: 17-23 odd, 29, 31, 37, 41, 43 ShiftingParabolas ParabolaVertices ParabolaVertices-CtS ParabolaVertices-VertexFormula
|
Graphs of Quadratic Functions & Vertex of a Parabola |
| 14 | Distance Formula, Midpoint Formula, and Circles
Perpendicular Bisector |
Section 9.1, p.754-759
|
p.760: 5, 9, 11, 13, 23-31 odd, 39, 41, 45, 61, 63, 65, 69, 75
Supplemental Problems on Perpendicular Bisector DistanceFormula Circles |
Pythagorean Theorem (review!) |
| 15 | Systems of Linear Equations in Three Variables | Section 3.6, p.283-289 | p.290: 11-17 odd, 21, 23, 27, 35-39 odd
3×3-Systems |
Linear Systems of Three Variables |
| 16 | Determinants and Cramer’s Rule (optional)
Nonlinear Systems of Equations in Two Variables |
Appendix A.1, p. A-1 to A-9
Section 9.4, p. 784-788 |
p.A-10: 35-45 odd, 49, 55, 57
p.790: 23-37 odd, 49 NonLinearSystems |
Determinants and Cramer’s Rule |
| 17 | Midterm Examination | |||
| 18 | Angle Measure and Special Triangles
The Trigonometry of Right Triangles |
Section 1.1, p.2-6
Section 2.1, p.46-50
|
p.7: 45-57 odd
p.51: 7-21 odd SpecialTriangles TrigonometryRatios |
Trigonometry of Right Triangles |
| 19 | Solving Right Triangles
Applications of Static Trigonometry |
Section 2.2, p.54-56
Section 2.3, p.63-66 |
p.57: 7-47 odd
p.69: 35-38 SolvingRightTriangles SolvingRightTriangles-InverseTrig
|
See videos from lesson 18. |
| 20 | Angle Measure in Radian
Trigonometry and the Coordinate Plane |
Section 3.1, p.90-93
Section 1.3, p.22-27 |
p.95: 25-39 odd, 43, 45, 49-61 odd, 67-71 odd
p.28: 25-31 odd, 45, 47, 55-63 odd, 64, 73-79 odd AngleMeasure-Radians CoordinatePlaneTrig |
Angle Measure in Radians |
| 21 | Unit Circle | Section 3.3, p.108-113 | p.115: 29-35 odd, 37-40
UnitCircle |
Unit Circle |
| 22 | Graphs of the Sine and Cosine Functions Graphs of Tangent and Cotangent Functions (optional) | Section 4.1, p.134-144
Section 4.2, p. 153-159 |
p.145: 1-3, 17-29 odd, 33-39 odd
p.160: 15, 19, 21, 39, 43, 47 GraphingSineCosine |
Graphs of Sine, Cosine, and Tangent |
| 23 | Fundamental Identities and Families of Identities | Section 1.4, p.31-35
Section 5.1, p.212-214 |
p.35: 11-37 odd
p.216: 13-29 odd, 37, 43, 51
|
Pythagorean Identity (The Fundamental Identity of Trigonometry) |
| 24 | Trigonometric Equations | Section 6.3, p.284-290 | p.292: 13, 17, 21, 25, 31, 35, 43-49 odd, 79, 80
TrigEquations |
(Basic) Trigonometric Equations |
| 25 | Oblique Triangles and the Law of Sines
The Law of Cosines |
Section 7.1, p.316-322
Section 7.2, p.329-332 |
p.324: 7-23 odd
p.338: 7-11 odd, 21-29 odd LawOfSines LawOfCosines |
Law of Sines |
| 26 | Third Examination
Exponential Functions |
Subsections 8.3.1, 8.3.2, 8.3.4., p.680-686 | p.687: 9-25 odd, 43, 49
ExponentialFunctions |
Exponential Functions |
| 27 | Logarithmic Functions | Section 8.4, p.690-693 and Ex. 8, 9 | p.699: 11-61 odd
LogarithmicFunctions |
Logarithmic Functions |
| 28 | Properties of Logarithms
Compound Interest |
Section 8.5, p. 704-709
Section 8.6, p.712-715 (skip Ex. 3) |
p.710: 17-29 odd, 45-55 odd, 63-64, 67-71, 79, 81, 91
p.721: 11, 13 LogarithmicProperties CompoundInterest |
|
| 29 | Logarithmic and Exponential Equations | Section 8.7, p.726-734 | p.735: 39-49 odd, 55-61 odd, 73, 75, 77, 79, 87
ExponentialEquations ExponentialEquations-Calc |
Exponential Equations |
| 30 | Final Examination | Selected final exam review questions |
