MAT 1275 College Algebra and Trigonometry
Text: McGrawHill Custom Textbook containing material from Intermediate Algebra, 5^{th} ed., by Miller, O’Neill, and Hyde (Sessions 116 and 2629) and Trigonometry, 2^{nd} ed., by Coburn (Sessions 1825).
Class  Topic  Section  Homework/ WeBWorK Problems  Video Resource 
1  Properties of Integer Exponents
Addition and Subtraction of Rational Expressions 
Section 4.1, p.320324
Section 5.3, p.437444 
p.327: 1129 odd, 33, 35, 41, 47, 63, 67, 75
p.445: 723, 2749 odd IntegerExponents ReducingRationalExpressions AddRationalExpressions AddRationalExpressions2 
Adding and Subtracting Rational Expressions

2  Complex Fractions  Section 5.4, p.447452  p.452: 915,1723 odd, 31,33
ComplexFractionsMethod1 ComplexFractionsMethod2 
Nested Fractions 
3  Solving Rational Equations  Section 5.5, p.454460  p.460: 933 odd
FractionalEquations 
Solving Rational Equations 
4  Roots  Section 6.1, p.496502
Section 6.2, p.508512 
p.505: 937 odd, 59, 65, 67, 79
p.513: 9, 13, 17, 19, 25, 29, 33, 41, 45, 53, 65, 73, 81, 93 HigherRoots HigherRootsAlgebraic RationalExponents 
Introduction to Rational Exponents and Radicals 
5  Simplifying Radical Expressions
Addition and Subtraction of Radicals 
Section 6.3, p.515519
Section 6.4, p.522525 
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.528532  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.536543
(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.546549  p.554: 1318, 2528, 4146
RadicalEquations 
Solving Radical Equations 
9  First Examination
Complex Numbers 
Section 6.8, p.557563 
p.564: 1527, 3135, 5357, 6169, 8189 odd ComplexNumbers 

10  Solving Equations by Using the Zero Product Rule
Square Root Property and Completing the Square 
Section 4.8 p.394396 (skip Ex. 2)
Section 7.1, p.582587 
p.404: 2140
p.589: 319, 2733, 3753 odd SquareRootProperty 
Factoring and the Zero Product Rule (review) 
11  Quadratic Formula  Section 7.2, p.592594, 596602 (Derive the quadratic formula)  p.603: 925, 4955 odd, 69, 73, 77, 81, 85
QuadraticFormula 
Quadratic Formula 
12  Applications of Quadratic Equations  Section 4.8, p.398400
Section 7.2, p.594595 
p.405: 65, 69, 71, 73, 75
p.603: 3947 odd

Applications of Quadratic Equations 
13  Graphs of Quadratic Functions  Section 7.4, p.612620
Section 7.5, p.626630 
p.621: 1115, 1923, 2935, 45, 47, 5161 odd
p.633: 1723 odd, 29, 31, 37, 41, 43 ShiftingParabolas ParabolaVertices ParabolaVerticesCtS ParabolaVerticesVertexFormula

Graphing Quadratic Functions 
14  Distance Formula, Midpoint Formula, and Circles
Perpendicular Bisector 
Section 9.1, p.754759

p.760: 5, 9, 11, 13, 2331 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.283289  p.290: 1117 odd, 21, 23, 27, 3539 odd
3×3Systems 
Linear Systems of Three Variables 
16  Determinants and Cramer’s Rule (optional)
Nonlinear Systems of Equations in Two Variables 
Appendix A.1, p. A1 to A9
Section 9.4, p. 784788 
p.A10: 3545 odd, 49, 55, 57
p.790: 2337 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.26
Section 2.1, p.4650

p.7: 4557 odd
p.51: 721 odd SpecialTriangles TrigonometryRatios 
Trigonometry of Right Triangles 
19  Solving Right Triangles
Applications of Static Trigonometry 
Section 2.2, p.5456
Section 2.3, p.6366 
p.57: 747 odd
p.69: 3538 SolvingRightTriangles SolvingRightTrianglesInverseTrig

See videos from lesson 18. 
20  Angle Measure in Radian
Trigonometry and the Coordinate Plane 
Section 3.1, p.9093
Section 1.3, p.2227 
p.95: 2539 odd, 43, 45, 4961 odd, 6771 odd
p.28: 2531 odd, 45, 47, 5563 odd, 64, 7379 odd AngleMeasureRadians CoordinatePlaneTrig 
Angle Measure in Radians 
21  Unit Circle  Section 3.3, p.108113  p.115: 2935 odd, 3740
UnitCircle 
Unit Circle 
22  Graphs of the Sine and Cosine Functions Graphs of Tangent and Cotangent Functions (optional)  Section 4.1, p.134144
Section 4.2, p. 153159 
p.145: 13, 1729 odd, 3339 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.3135
Section 5.1, p.212214 
p.35: 1137 odd
p.216: 1329 odd, 37, 43, 51

Pythagorean Identity (The Fundamental Identity of Trigonometry) 
24  Trigonometric Equations  Section 6.3, p.284290  p.292: 13, 17, 21, 25, 31, 35, 4349 odd, 79, 80
TrigEquations 
(Basic) Trigonometric Equations 
25  Oblique Triangles and the Law of Sines
The Law of Cosines 
Section 7.1, p.316322
Section 7.2, p.329332 
p.324: 723 odd
p.338: 711 odd, 2129 odd LawOfSines LawOfCosines 
Law of Sines 
26  Third Examination
Exponential Functions 
Subsections 8.3.1, 8.3.2, 8.3.4., p.680686  p.687: 925 odd, 43, 49
ExponentialFunctions 
Exponential Functions 
27  Logarithmic Functions  Section 8.4, p.690693 and Ex. 8, 9  p.699: 1161 odd
LogarithmicFunctions 
Logarithmic Functions 
28  Properties of Logarithms
Compound Interest 
Section 8.5, p. 704709
Section 8.6, p.712715 (skip Ex. 3) 
p.710: 1729 odd, 4555 odd, 6364, 6771, 79, 81, 91
p.721: 11, 13 LogarithmicProperties CompoundInterest 

29  Logarithmic and Exponential Equations  Section 8.7, p.726734  p.735: 3949 odd, 5561 odd, 73, 75, 77, 79, 87
ExponentialEquations ExponentialEquationsCalc 
Exponential Equations 
30  Final Examination  Selected final exam review questions 