# Syllabus With Links to Videos

MAT 1375 Precalculus

Text: Precalculus by Thomas Tradler and Holly Carley, Second Edition, available on www.lulu.com, PDF available from: http://websupport1.citytech.cuny.edu/faculty/ttradler/precalculus.html

ClassTopicHomework WeBWorKVideo Resource
11. The absolute value1.1, 1.2, 1.3 (a)-(e), 1.4 (a)-(f), 1.6, 1.7 (a)-(f)Absolute Value Inequalities

Interval Notation
The absolute value

Interval notation
22. Lines and functions2.1 (a)-(c), 2.3 (a)-(c), 2.5-2.8 allLines

Functions - Intro
Functions
33. Functions by formulas and graphs3.1 (a)-(b), 3.2, 3.4 (a)-(f), 3.6 (a)-(f), 3.7 (a)-(g) and (m)-(t), 3.8, 3.9
Functions - Notation

Functions - Difference Quotient
Functions by formulas and graphs
44. Introduction to the TI-844.1, 4.2 (a), 4.3 (c)-(i), 4.6
55. Basic functions and transformations5.1, 5.2 (a)-(f), 5.3 (a)-(d), 5.5 (a)-(e)Functions - TranslationsTransformation of graphs
6 6. Operations on functions6.1 (a)-(c), 6.2 (a)-(b), 6.3 (a)-(d), 6.4 (a)-(c), 6.5 (a)-(b), 6.6, 6.7Functions - OperationsOperations on functions
77. The inverse of a function7.1 (a)-(c), 7.2 (a)-(f) and (l)-(p), 7.3 (a)-(c), 7.4 (a)-(c), 7.5 (a) and (d)Functions - Inverse FunctionsThe inverse of a function
8First Examination
98. Dividing polynomials

(8.3 Synthetic division is optional)
8.1 (a)-(c) and (j)-(k), 8.2, 8.3, 8.4 (a)-(d) (Optional: 8.5 (a)-(d))Polynomials - DivisionLong division

The remainder theorem
109. Graphing polynomials

(9.3 Graphing polynomials by hand is optional)
9.1-9.3 all, 9.4 (a)-(c), 9.5 (a)-(c) (Optional: 9.6)Polynomials - GraphsGraphing polynomials
1110. Roots of polynomials

(10.1 Rational root theorem is optional)

10.2 (a)-(d), 10.3 (a)-(c), 10.4 (a)-(c) and (f)-(h), 10.5 (a)-(c) and (f)-(i) (Optional: 10.1)Polynomials - Theory

Polynomials - Rational Roots
Polynomials
1211. Rational functions

(11.2 Graphing rational functions by hand is optional)
11.1-11.4 allRational Functions - Domains

Rational Functions - Intercepts

Rational Functions - Asymptotes
Rational functions
1312. Polynomial and rational inequalities12.1 (a)-(c), 12.2 (g)-(j), 12.4 (a)-(f), 12.5Polynomials - Inequalities

Rational Functions - Inequalities
Polynomial and rational inequalities
1413. Exponential and logarithmic functions13.1 (a)-(f), 13.2 (a)-(e), 13.4, 13.5 (a)-(b), 13.6 (a)-(h)Exponential Functions - Graphs

Logarithmic Functions - Graphs
Exponential and logarithms
15Midterm Examination
1614. Properties of exp and log14.1 (a)-(e), 14.2 (a)-(f), 14.3 (a)-(c) and (e), 14.4 (e)-(g), 14.5 (a)-(e)Logarithmic Functions - Properties

Logarithmic Functions - Equations

Exponential Functions - Equations
Properties of logarithms

Exponential equations
1715. Applications of exp and log 15.1 (a)-(b), 15.3-15.8 allExponential Functions - ApplicationsApplications of exponential and logarithmic functions
1816. Half-life and compound interest16.1-16.7 all, 16.9 (a)-(c), 16.10 (a)-(e)Exponential Functions - Half-life

Exponential Functions - Compound Interest
Half-life and compound interest
1917. Trigonometric functions17.1 (a)-(d) and (g)-(h), 17.3, 17.4, 17.5 (a)-(d), 17.6 (a)-(g)Trigonometry - Unit Circle

Trigonometry - Graphing Amplitude

Trigonometry - Graphing Period

Trigonometry - Graphing Phase Shift

Trigonometry - Graphing Comprehensive
Graphing trigonometric functions
2018. Addition of angles and multiple angle formulas18.1 (a)-(e), 18.2 (a)-(b), 18.3 (a)-(d), 18.4 (a)-(d)Trigonometry - Sum and Difference Formulas

Trigonometry - Double and Half Angle Formulas
Addition of angles and multiple angle formulas
2119. Inverse trigonometric functions19.1, 19.2 (a)-(j), 19.3 (a)-(c) and (g)-(i)Trigonometry - InversesInverse trigonometric functions
2220. Trigonometric equations20.1 (a)-(f), 20.2 (b)-(c), 20.4 (a)-(k), 20.5 (a)Trigonometry - EquationsTrigonometric equations
23Third Examination
2421. Complex numbers21.1 (a)-(c), 21.2 (b)-(e), 21.3 (a)-(c), 21.4 (a)-(d), 21.5 (c)-(d), 21.6 (a)-(d), 21.7 (a)-(d)Complex Numbers - Operations

Complex Numbers - Magnitude

Complex Numbers - Direction

Complex Numbers - Polar Form
Complex numbers
25 22. Vectors in the plane22.1 (a) and (d), 22.2 (a)-(d), 22.3 (b)-(f) and (k)-(m), 22.4 (a)-(b)Vectors - Components

Vectors - Magnitude and Direction

Vectors - Unit Vectors
Vectors in the plane
2623. Sequences and series 23.1 (a)-(c), 23.3 (a)-(d), 23.4 (a)-(d), 23.5 (a)-(b), 23.7 (a)-(b) and (e)-(i)Sequences - Arithmetic

Series - Finite Arithmetic
Sequences and series
2724. The geometric series24.1 (a)-(d), 24.2 (a)-(c), 24.3 (a)-(b) and (e)-(i), 24.4 (c) and (f)-(i), 24.5 (a)Sequences - Geometric

Series - Geometric
The geometric series
28 25. The binomial theorem 25.1 (a) and (i)-(l), 25.2 (b), 25.3 (a)-(d), 25.4 (a)-(d), 25.5 (a)-(d), 25.6 (a)-(d)Sequences - Binomial TheoremThe binomial theorem
29ReviewFinal Exam Review ProblemsSelected final exam review questions solved
30Final Exam