Syllabus With Links to Videos

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

Adding and Subtracting Rational Expressions

 

Multiplying and Dividing Rational Expressions (review)

 2 Complex Fractions Section 5.4, p.447-452 p.452: 9-15,17-23 odd, 31,33


ComplexFractions-Method1

ComplexFractions-Method2

Nested 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)

Adding and Subtracting Radical Expressions

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

 

Complex Numbers

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)

Square Root Property

Completing the Square

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
Graphing Quadratic Functions
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!)

Distance Formula

Midpoint Formula

Circles

Perpendicular Bisectors

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

Nonlinear Systems of Equations

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

Special 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

Law of Cosines

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

 

Properties of Logarithms

Compound Interest

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