# Syllabus for Precalculus

**Syllabus:**

**Lesson 1:** A.3, A.5 - Review Polynomials and Factoring

Online Completing the Square Worksheet

**Lesson 2:** A.1, A.6 – Review Intervals and Inequalities

Weekend Review: A.2 and A.4 check the answers to all your homework in the back
of the book.

**Lesson 3:** 1.2 - Graphs of Equations 1.3 - Linear Equations in Two
Variables

**Lesson 4:** 1.4 - Functions 1.5 Analyzing Graphs of Functions

**Lesson 5: **1.6 - A Library of Functions

**Lesson 6: **l.7 - Shifting, Reflecting, and Stretching Graphs 1.8
Composition of Functions

**Lesson 7:** Review for Exam I

**Lesson 8: Exam I** (students who fail this exam should consider dropping
the course and auditing

MAT 104. Please consult with Mr. Rothchild in Gillet 104 during his office hours
for more

personalized advising)

**Lesson 9:** 1.9 - Inverse Functions 1.10 - Mathematical Modeling

**Lesson 10: **A.3, 2.1- Maximizing Quadratic Functions

Online Examples of Maximization

Online Max-Min Problem Sheet

**Lesson 11:** 2.3 - Polynomial and Synthetic Division Review exponents A.2

**Lesson 12:** 3.1- Exponential Functions and Their Graphs

Online Credit Card Example

**Lesson 13: **3.2 - Logarithmic Functions and Their Graphs 3.3 Properties of
Logarithms

**Lesson 14:** 3.4 - Exponential and Logarithmic Equations

Online Inverses of Functions with Exponentials

**Lesson 15:** Review for Exam II

**Lesson 16: Exam II** (students who fail both exams should probably drop the
course. Please

consult with Mr. Rothchild in Gillet 104 for more personalized advising)

**INSTRUCTORS:** Please try to give this second exam, prior to the
deadline for students to

withdraw from a course.

**Lesson 17: **3.5 Exponential and Logarithmic Models Online Exponential
Problem Sheet

**Lesson 18:** 4.1- Radian and Degree Measure 4.2 - Trigonometric Functions:
The Unit Circle,

Mention the Pythagorean identity Online Unit Circle Project

**Lesson 19:** 4.3 - Right Triangle Trigonometry 4.4 - Trigonometric
Functions of Any Angle

Review for Right Triangle Trigonometry

**Lesson 20: **Graphs of Sine and Cosine Functions 4.6 - Graphs of other
trigonometric functions

**Lesson 21: **4.7- Inverse Trigonometric Functions 4.8 - Applications and
Models

**Lesson 22: **Review for Exam III

**Lesson 23: Exam III**

**Lesson 24:** 5.1 - Using Fundamental Identities 5.2 - Verifying
Trigonometric Identities 5.4 - Sum

and Difference Formulas and their proofs

**Lesson 25:** 6.1 – 6.2 Law of Sines and Law of Cosines

**Lesson 26:** 2.2 and 2.6 - Graphing Polynomial and Rational Functions

**Lesson 27: **Catch up or 2.7 - Partial Fractions

**Lesson 28:** Review for the Final

**Final:** The final will be given during Finals Week covering the entire
course especially topics

needed in Calculus. The final exam will not be waived for students who are
already acing the

course. This is your opportunity to reinforce your knowledge and prepare
yourselves to ace

calculus.

**Notes:**

1) MAT 172 is a Precalculus course designed to prepare a student for a two
semester calculus

sequence. Students whose educational plans require only one semester of calculus
should not be

taking MAT 172. They should take MAT 171, and then MAT 174. If you have any
questions,

please see Mr. Rothchild in G104 during his office hours.

2) We assume proficiency in MAT 104. Students lacking this proficiency will
almost certainly

do poorly in this course, and are advised to either audit MAT 104 or go to Math
Lab before

attempting MAT 172. Instructors may wish to give a brief diagnostic the first or
second class.

Students should go to their instructor’s office hours, to Math Lab or to study
groups ASAP when

they need help.

3) A simple (non-graphing) calculator is useful . Any calculator with ln x, e^{x},
y^{x}, and trig

function keys will be just fine.

4) Please remember that there is flexibility in the times
allotted to topics by this syllabus, but

the topics in the syllabus must be covered by the instructor and understood by
the student. Students

should regard mastery of MAT 172 as necessary for success in MAT 175.

5) Please feel free to speak to Mr. Rothchild in Gillet
104 during his office hours if you have

any questions.

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